{"text":"Question: Simplify (sqrt(170) + (-2*sqrt(170) - sqrt(170))*5)\/sqrt(10).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j - 1. Let i(p) = -4*p**3 + 3*p**2. Let o(u) = -i(u) + 3*l(u). Let h(r) = 7*r**3 - 7*r**2 + 7*r - 7. Give -6*h(q) + 14*o(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 - 14*l + 34)*(3 - 6 + 2)*(-136 + 120 + 103)*(2 + 0 - 4)*(-2 + l + 2).\nAnswer: -2436*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a. Let c(p) = 36603175*p. What is m(c(h))?\nAnswer: -109809525*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from ykgktityttyiuktik.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 2\/5, -0.2, 0.05, 5, 39, -14\/11, 1\/8?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 194 + -193.9. Let x = 3.472 - 0.562. Let q = -0.09 - x. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -9. Let v be o\/(-3) + (-3)\/9. Solve v*t - 2*y + 2 = 0, 5*t - 8 = -5*y + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -2. Suppose -a - 4*d = -c*a + 32, 0 = 3*a - 5*d - 28. Let r(v) = v**2 - 2*v + 2. What is the remainder when r(5) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 252649288 + -612137497. Let w = q + 359488219.00000085. Let n = 10 - w. What is n rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-33 - -48)*(336\/(-15))\/(-4). What is the greatest common factor of p and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -94\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -203  (b) 461  (c) -2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19080\/7 + 2726. Is 115 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1123, -2244, -3365, -4486?\nAnswer: -5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 3211642 and 32222.\nAnswer: 3243864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0)**(-11\/5)*t**(-3)\/(t**(-4)*t))**30 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3242*t - 3253*t - 22 = 0. What is the biggest value in -1\/4, 3, -5, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1448*c + c**2 - 725*c - 723*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.209, -1483, -0.5, -3\/76.\nAnswer: -1483, -0.5, -3\/76, 0.209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - b + 2269 = 0, 0 = -5*g - 4*b - 48 - 2226. What are the prime factors of ((-576)\/15)\/(3 - g\/(-150))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/7 in 18916\/9, 1, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 6:47 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f**2. Let x(j) = -38*j + 2. Give m(x(p)).\nAnswer: 2888*p**2 - 304*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -838, -3251, -7262, -12865, -20054?\nAnswer: -28823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**3 + 7*n**3 + 7*n**3 - 11*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c = -16*c + 648. Let d = c - 103. Solve 0*a - d*a = 5*v + 40, 5*a = 4*v - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6*y + 36 = 0. Let l be (-2)\/y*(-45)\/(-60). What is the second biggest value in -2\/9, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -4*u - 1512, 2*p + 3*u + 1886 = -3*p. Let o = p + 452. Calculate the remainder when o is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -355 + 153?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*h = 0. Suppose h = -5*x + 1 - 41. Is 4\/x - (-47)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 33*r**3 + 74 - 74.\nAnswer: 33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-6 + 7 - 2) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -3*x**5\/20 + x**4\/4 - 39*x**2\/2 + 5*x + 4. Find the first derivative of n(f) wrt f.\nAnswer: -9*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a5270 (base 12) in base 5?\nAnswer: 23410442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -288*j + 263*j + 150. What is the smallest common multiple of j and 1610?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.302 + 2.698. Sort 1.7, j, -0.5 in descending order.\nAnswer: j, 1.7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) - (2*(sqrt(432)*2 + sqrt(432) + sqrt(432) + sqrt(432)) - sqrt(432))) + sqrt(432))**2 + 3 + sqrt(15)\/(sqrt(80) - sqrt(5)).\nAnswer: sqrt(3)\/3 + 21171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/36*-9)\/(4 - 27\/6). Determine h, given that 0 - 2\/11*h**s - 4\/11*h**2 - 2\/11*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11387687 - -1221?\nAnswer: -11386466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - m + 219, 5*m = 2*y + 8*m - 153. What is the highest common factor of y and 528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3279 divided by -461\nAnswer: 3279\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/1471 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -13*c - 1361 + 1223 - 8*c + c. What is h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 87 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -14*h + 120. Give v(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.063116 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - o - 4 = 0. Suppose 0 = -s + o*s - l - 69, -3*l - 23 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 10 - (2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 11*x**2 + 12*x - 5. Let f be a(12). Let h be f\/(45\/(-42)) + 7\/21. Solve -h*p = 11 + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 6. Let y be k(-6). Suppose -5 = -5*m - 2*q, 4*m - 3*m = 5*q + 28. Solve y = -2*g - m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 202 and 3131?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1772 - 1655. Which is the closest to -0.1?  (a) k  (b) 2\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.14 + -0.8. Let p = a - 0.06. Let o = -38.1 + 38. Put p, o, 2 in increasing order.\nAnswer: p, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, o: 3, e: 4, z: 6, n: 3}. Give prob of picking 2 o and 1 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -4\/5*d**6 + 0*d**2 - 12\/5*d**5 - 2*d**3 + 0 - 10\/3*d**4 + 6*d - 2\/21*d**7. Factor j(z).\nAnswer: -4*z*(z + 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 6:51 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/140*(-41785)\/(-33428)?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -51, -39, -13, 33, 105, 209?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zxfvuzs. What is prob of sequence suvz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 166 = -4*d, 0 = 2*d - 4*y - 54 - 26. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4 = m. Suppose -6*i + m*i + 70 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15.877 + -4.1278. Let n = -20 - r. Round n to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1ab + -3?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 74905 and 5.\nAnswer: 74910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 60.8316 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 6. Let y be b(-10). Suppose y*t = -0*t - 4. Let v(s) = -1888*s**3 + 2*s + 1 + s**2 + 944*s**3 + 948*s**3. Determine v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9732 + 12397. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 15*z - 14. Let f = 7901 - 7907. What is q(f)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-4) - ((-7)\/(-21) + 0). Which is the closest to x?  (a) -1\/5  (b) 0.2  (c) 4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(-9)))\/a)\/a**6 assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 29*f - 4. Let x(g) = 26*g - 5. Determine -4*d(h) + 3*x(h).\nAnswer: -38*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 12:05 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 5*n**2 - n + 7. Let q be o(5). Suppose -2*c + 5*c = 5*r - 197, 5*r = -q*c + 177. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/15 + 34960\/25 - -3.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1186 + 2657. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328669 is divided by 792?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + w + 15 = 0. Let p(x) = -2 - w*x**2 + 2*x**2 + 1 + 2*x. Calculate p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o. Suppose 689*c = 668*c. Let v(i) be the third derivative of 0 + 0*i**3 + 1\/60*i**5 + 0*i**4 - 18*i**2 + c*i. Determine y(v(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -37*n + 11. Let c(j) = -18*j + 5. Give 7*c(o) - 3*u(o).\nAnswer: -15*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) -0.1  (b) 2\/73  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25625.23 kilometers to centimeters.\nAnswer: 2562523000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1264 and -0.7?\nAnswer: -884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27447 by 3.\nAnswer: 9149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1845 - 1503 = -9*y. Calculate the highest common divisor of y and 8680.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42 by -11.\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 11) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 183, 455, 911, 1551?\n\"Answer: 92*o**2 - 4*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-14)*p)\/(p**(-2\/27)\/p))**(2\/77) assuming p is positive.\nAnswer: p**(-92\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -4*q**2 - 6*q + q**2 - 7 + 2*q**2. Let f be (-9)\/15 - (-28)\/5. Suppose -6*p - 25 - f = 0. What is y(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3*i**3 - 5*i**2 + 3*i + 1. Let k be 2\/(-9)*((-162)\/18 + 18). What is w(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (3 + -11 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13173955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 148 and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -180 * 3\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 829, 843, 857, 871, 885?\nAnswer: 899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**2 + 0*y**2 + 6*y**2 + (-2 + 745 - 18)*(-y**2 + 3*y**2 + 0*y**2 + (4 - 1 - 2)*(2*y**2 + 0*y + 0*y)).\nAnswer: 2903*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-6) - (-184)\/24. Let j(s) = s**3 + 2*s**2 + 4*s**2 - 2*s - 9*s - z. Let i be j(-7). What is the greatest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 5337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, -3\/2, 32, -213?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3842 + 61533\/16. Find the common denominator of (-31)\/(-3)*(-9)\/(-42) and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 4*k**2 - 14*k - 4. Let z(v) = v**2 - v - 2. Suppose 6*d - 21 = -5*q + 9*d, 5 = 5*q + 5*d. Let f(g) = q*z(g) - o(g). Calculate f(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 0*v**4 + 3\/20*v**5 - 1\/4*v**3 - 5 + 0*v + 0*v**2. Factor a(h).\nAnswer: 3*h**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2421.4 and -2.03.\nAnswer: -4915.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a - 1. Let s(f) = 13*f - 50. Let u(z) = 5*i(z) + s(z). Let n be u(17). Put n, -6, 3 in decreasing order.\nAnswer: 3, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 3 - 0. Let i(l) = 2*l**2 - 6*l + 2. Let o be i(4). Solve -w*c - o = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 7 = 341*m - 346*m, 4*m - 8 = 0. Suppose -i + 3*i = 6. Let p = i - 2. Sort -3, w, p in decreasing order.\nAnswer: w, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 268913556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 - 4*s + 14. Let g be n(6). Suppose -3*a - 8 + g = 0. Solve -4*c + k = -k + a, -c - 7 = 2*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 14*t**2 - t + 1. Let r(k) = k**2. Let c(m) = -2*r(m) + u(m). Let z be c(1). Solve 3*h - j - z = 0, 9 = 2*h - 0*j - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3961*p + 1981*p + 29*p**3 + 1 + 1982*p to the form i*p**3 + l*p**2 + q*p + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 18 = 3*y. Suppose 5*w - 66 = 4. Suppose w = y*r - 25. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3061350.7 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaaaaoooaa. What is prob of picking 2 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 5*s - 4 = 0. Factor s*k + 11*k - 3*k**2 - 10*k.\nAnswer: -3*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010110010001110 (base 2) to base 8\nAnswer: 126216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -176561.33992 and -4.\nAnswer: -176565.33992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - (0 + sqrt(847)))*-4 - (2*sqrt(448) - sqrt(448) - (sqrt(7) - (sqrt(252) + -1))))**2.\nAnswer: 54*sqrt(7) + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(65)*-4)\/(-3*sqrt(5)*-2).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**2 - u**2 + 3*u**2 + (-u + 0*u + 3*u)*(4 + 11 - 6)*(-9*u - 130 + 130) + 0*u**2 + u + u**2 - 3*u.\nAnswer: -162*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1255248263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5821406 and 323773?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 10367*o - 10373*o + 20740*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**5\/5 - 1788*q**4 - 34160*q**3 - 226944*q**2 - 584064*q - 1947456\/5 = 0.\nAnswer: -6, -1, 2254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**2 + 6 - 4 - 232*d**3 + 229*d**3 - 2*d**4 - 2*d as v*d + w*d**4 + o*d**2 + r*d**3 + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -3 - (3 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 45 = -4*d, r - 15 = 465*d - 467*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11854200 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 15. Let h(g) = -2*g**3 + 5*g**2 + g + 5. Let u(d) = -d**3 + d**2 + 1. Give k*u(s) + h(s).\nAnswer: 3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 + 0.03648?\nAnswer: 0.43648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 869, 2544, 4221, 5900?\n\"Answer: d**2 + 1672*d - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120*m + 1947 + 2400 = 41*m. What is the greatest common divisor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22351 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0*(-7)\/42)\/(-1). Suppose -5 = -p - 0. Suppose p*h - 9*h + 5036 = w. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, 0, 21\/4, 0.1, -6, 348, 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 1 = -4*b, 4753*b + i - 2*i + 1 = 4751*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13628 + 6188 = -1008*i - 9416 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4260, -16902, -37934, -67362, -105192, -151430?\n\"Answer: -l**3 - 4189*l**2 - 68*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*s + 2279 = 19559 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + -38 + 4 + -2. Calculate the common denominator of ((-3)\/(-2))\/(s\/76) and 43\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16.6 + 14. Let k = 0.4 - h. Put 0.4, -0.3, k in increasing order.\nAnswer: -0.3, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*h + 1047, -5*m - 5*h = -8*h - 1764. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (-9 - (23 + (9 - 20) + 78))) + 6.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 1.96. Suppose -n = -2*n + 7. Let w be (-2 - 18\/(-8))\/(n\/(-8)). Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -11100111?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 249, 805, 1699, 2979, 4693, 6889?\n\"Answer: 8*w**3 + 121*w**2 + 137*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 90*g - 108*g - 616, -177 = 4*m + 12*g + 215 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 246, -491, -1720, -3441, -5654?\nAnswer: -8359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f - 5. Let c be o(-4). Let h be 1\/6 + (-86)\/12 + 6. Let l = c - h. Solve -l*y = -4*k + 36, 2*k = -3*y + 3*k - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29068556 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12*39)\/3*1. Let s be ((-1)\/2*1)\/((-1)\/k). Suppose 8*h = 6*h + s. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3927 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -6*j**3 - 4*j**2. Suppose -y - 4*w + 10 = 1, -3*w + 9 = 0. Suppose -4 = 14*g - 13*g. Let h(b) = 7*b**3 + 3*b**2. Calculate g*h(l) + y*z(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*h - 3. Let l = h - -3. Is 15\/l*3\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 220015 - 5?\nAnswer: 220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1136314 and 5814.\nAnswer: 10226826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 656 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -6 + (-10 - -13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 25*s + 21*s + 0.\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 2*b**3 - 10*b**2 - 2*b**2 - b**3 + 10*b**2 to r*b + z*b**2 + n + w*b**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5539, -5564, -5621, -5722, -5879, -6104, -6409?\n\"Answer: -2*k**3 - 4*k**2 + k - 5534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - -19)\/(1\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {l: 2, u: 3, v: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 156541733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 31*f - 66. Let n be m(10). Let t = n + -210. Calculate the greatest common factor of t and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 162*u**2 - 171*u - 1350. What is x(-163)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 + -71. Let c = 19 - w. What is the nearest to 2\/5 in -5, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 9, -47, -1, -3 in increasing order.\nAnswer: -47, -3, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 + 126*r - 3052. Calculate u(22).\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*q = 60*q + 15. Suppose -8*z = -3*z - 5. Let b(l) = -l**2 + 2*l - 1. Let t be b(z). Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 40  (b) 24  (c) 3  (d) -6\/13  (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/(-6) - 21\/(-14). What is the tens digit of 54\/((-62)\/(-168)*q + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22 + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o + 3*o - 2*o - 3 + 4*o. Let d be n(2). Suppose d*m - 14 - 6 = 0. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 12*t + 5. Let c be a(-11). Let g = -4 - c. Solve g*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (6 - 2)) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/19633 and -21\/5416?\nAnswer: 157064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**0\/(r\/r**(8\/3)) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12027629 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1906533 by -3.\nAnswer: 635511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmvvmmmvvvvv. Give prob of picking 2 v and 1 m.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -43 - 8621?\nAnswer: -8664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -29775*c**3 + 2*c + 1. Let t be f(-1). Let a = 52774 - t. What is a rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -500*h + 6 = -498*h. Suppose 710 = -h*p + 2066. List the prime factors of p.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 3 - 3*i + 0*i + (-4 + 4 + 2*i)*(1 + 2 - 2) + 0 + 0 + 2*i + 2*i - 7*i - 3*i + 3 - 3 + 2*i.\nAnswer: -5*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 4, -0.2, 3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 2. Solve k + 2*k + f = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 40983 and -56.\nAnswer: 40927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110 + 177. Let q = 72 - i. Solve 0 = 5*p + 20, v + q*p = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(3\/(3*-5)). Let r(y) = -2662*y + 7. Let a be r(j). Let s = a + -37317. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84429402?\nAnswer: 2, 3, 14071567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 613717 divided by 71?\nAnswer: 613717\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -172.28 and -0.2.\nAnswer: 34.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of o**6\/120 - 2*o**5\/15 + o**4\/3 + 5*o**3\/6 + 33*o**2. Give c(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((20\/(-14))\/2)\/(60\/(-420)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 14*p + 91 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + 36. Let q(k) = k**2 + 6*k + 18. What is the remainder when m is divided by q(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 277035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41232.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 5)*((0 - 2 + 0)*(3*q - 3*q + q) + (-1 + q + 1)*(-1 + 1 - 1)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*d + 64*d + 4 = 2*l, -6*d + 10*d = -5*l - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3278478675.\nAnswer: 3, 5, 353, 123833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.092 - -1.392. Sort 4, 7, z, -5 in ascending order.\nAnswer: -5, z, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 376 - 381 = 0. Let d be b\/(-5) + 35\/(-175). Suppose 2\/3*a**2 + 2\/9*a**3 - 8\/9 + d*a = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 14472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -6*(-5 + sqrt(17)*3)*1)**2.\nAnswer: -1116*sqrt(17) + 6469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 + (-261)\/(-6) + 1\/2 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -32, 4, 3, -2, 2 in decreasing order.\nAnswer: 4, 3, 2, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*o - o - o + (-23 - 3 + 3)*(2*o + o + 0*o).\nAnswer: -67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-10))\/(63\/(-180) + 14\/35).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**3*q**2*t + d**3*t**3 - 2*d**3 + 17991*d**2*q**2*t**3 - 24648*d*q*t**2 wrt t.\nAnswer: 6*d**3 + 107946*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2548738147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 1047 = 637. Let i = 8921\/40 - 1092\/5. What is the common denominator of 132\/154 - r\/56 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277 = 61*t + 2745 - 338 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 8.1. Let s = z - 7.76. Let k = s + 0.06. What is the closest to -1 in 0.5, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/15)\/(6\/20). Is 909 - 2 - (-2 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*o + 23, 2*o = 3*h + 22. Let d(z) = 13*z + 4. Let w(y) = -7*y - 2. What is h*d(b) - 7*w(b)?\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 + 22*l**2 - 14*l**2 - 4*l**2 + 4*l**2 + 3*l**2 - 7*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -52*o**6\/3 + 4*o**3\/3 - 3*o**2 + 96. What is the third derivative of n(l) wrt l?\nAnswer: -6240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -1\/2  (c) -0.4  (d) 3.674  (e) 1\/10  (f) 4\/7  (g) 3\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/21 - (-8)\/28 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 22332, 0.01?\nAnswer: 22332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 115 + -61. Let i = -58 + r. Let p be 0\/(1 + (-3 - -1)). Put 1\/2, -2\/11, p, i in increasing order.\nAnswer: i, -2\/11, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1658650 * -0.8\nAnswer: 1326920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -3*x + 21, 2*x + 5*w - 6 = 5*x. Suppose 0 = 4*n - 0*n + 20, 2*f = x*n + 81. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - 1136552*q**3.\nAnswer: -1136552*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 958004*t**3 - 22*t**2 + 1531*t?\nAnswer: 5748024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/3)\/t)**43*t**(-2\/23)\/(t*t**(2\/11)\/t))\/((t**(2\/11)*t*t**(-1\/3))\/(t*t**(2\/7)*t\/t**(1\/2))) assuming t is positive.\nAnswer: t**(-297509\/10626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 - -75. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 195 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3005 (base 8) in base 10?\nAnswer: -1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2486.095 millimeters to centimeters.\nAnswer: 248.6095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 267, 297, 339, 399, 483, 597?\n\"Answer: t**3 + 23*t + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(24\/5))**(9\/8) assuming s is positive.\nAnswer: s**(261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 42 - 463351?\nAnswer: -463306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (6*(sqrt(162) - (sqrt(162) + (sqrt(162)*2 + sqrt(162) - sqrt(162))**2)) - (-2 + 2*sqrt(162))**2) + 3).\nAnswer: -72*sqrt(2) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.95?  (a) -5  (b) 25  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 9*a**2 - 5*a - 12. Let s be q(-9). Let h(g) = -34*g - s*g + 68*g + 2. Let k = 56 + -54. Give h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -36699*g**2 + 36660*g - 2. Give l(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -342 + -1?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 161589 and 1525?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 less than or equal to -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-9)*(-7 + -2). Suppose y - i*y + 8 = 0. Let h be 5\/(-3 + 26\/8). Solve 0*s + h = y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57 + -32. Suppose 5*g + t = 5*s, 4*g - 2*g + 11 = 3*s. Which is the third biggest value?  (a) -0.07  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 2*o + m = -9, -5*o + 5*m = -15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + (-16)\/(-1) + 4\/(-1). Let f be 0 - 9\/(-15) - (-104)\/l. Let q be (-12)\/(-2)*33\/2. Calculate the greatest common factor of q and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/2 + (7 - 6). Suppose -y - z*y - 2*m = -41, -14 = -2*y - 2*m. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -111  (b) 1  (c) -10  (d) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10101 divided by 481\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 38\/6 - (-61 - -53)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 160 = -4*z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -4, 3*p + 2 = 6*p + o. Suppose 5*t - 3*m - 105 = p, 2*t + t - m = 63. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((186\/(-310))\/((-3)\/(-5)))\/(4\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8384, 8379, 8366, 8339, 8292?\nAnswer: 8219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118910942.\nAnswer: 2, 71, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 23249813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -2192709 in descending order.\nAnswer: 3, -5, -2192709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 775.6 + -705. What is m rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**3 + 9*l**2 + 2*l + 5. Let x be h(-3). Let u be x + (10\/(-8))\/((-17)\/68). Solve -3*r - u - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/10 - (-234)\/45. Solve -3*k - 5 = 4*w, -9 = -d*k + 5*w - 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 17. Solve 3*t = -0*t + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 4 + 8 - 10*q**2)*(-5*q**2 - 2*q**3 + 5*q**2).\nAnswer: 20*q**5 + 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -103 + (3 - 2 - 0) - ((-155 - -123) + 34).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101001101011201 (base 3) to base 15\nAnswer: 707a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4232 - 299*d - 4230 - 550*d)*(-2 + 1 - 1) + (7 - 3 - 2)*(-3*d + 6*d - 2*d) to the form c*d + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uzux when four letters picked without replacement from {a: 3, z: 2, u: 5, x: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 36*z + 157. Let y be d(-4). Suppose -y*f = -37020 + 425. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d + 146233. Let p be n(0). Let k = p - -443767. What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -98*c**5 + 882336*c**4 - 7429374*c**3 - 4461448*c**2 - 647640*c = 0.\nAnswer: -2\/7, 0, 9, 8995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(374)*-4)\/sqrt(11))\/(sqrt(288)*5*-3).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 131 - 127. Solve -3*d = r*a - 14, -2*d = 3*a - a - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -352 + 138. Let t be (-3)\/(-12) - d\/8. What is the highest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*l - 73, 5*l - 6*c + 5*c = -131. Let i be (-2 - -4)*70\/4. Let y = i + l. Calculate the remainder when 15 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 + 0\/(-2 + (1 - -3)). Calculate the remainder when y\/((-7)\/(-76))*(6 - 7) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 2. Let c(h) = -2*h**2 + 49*h - 35. Let v be c(25). Let u be (60 + v)*(-2)\/(-4). Solve u = 2*r - 4 - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 487*i - 1305*i - 1369*i - 1300*i to the form w*i + r and give w.\nAnswer: -3487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 728.07 + -79.67. Let m = c - 937. Round m to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -d + 2*d. Let n be 2 - (1 + (-18)\/d). Let t = 2.2 + -2.3. What is the closest to -24 in n, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 - -22. Is (6\/l)\/((-2)\/(-19)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53164411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 59 = -3*w, -3*n = -3*w - 0*n + 63. Solve -y = -6*y - w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (8 - (31 + -29 - (-3 + -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -9\/4  (c) -2  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 207 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -23*v - 2. Let r be f(-4). Let p be -15*-2*(-1)\/(-3). Calculate the highest common factor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 565.4376 centuries?\nAnswer: 678525.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - g. Let m(x) = -x**2 + 6*x - 12. Let q be m(6). Let l be (-27)\/q - 6\/(-8). Let y(u) = u + 5*u + l - u**3 - 9*u. What is 3*v(w) - y(w)?\nAnswer: -2*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 52*r**3 - r**2 + r. Let d be m(1). Suppose 4*x = -j + d + 522, 2*x = -j + 288. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 35*q - 6. Let w be x(74). Calculate the highest common factor of w and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/304 and -73\/41232.\nAnswer: 783408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 34*p - 1180 + p**2 + 575 + 583 - 5*p**2 + 59*p. What is y(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 61 + 61 - 10*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 + 1\/2*y + 0 + 1\/2*y**3.\nAnswer: y*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -17, -219, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00325591 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - -7)\/(2\/50). Let x be 10\/q - (-18)\/5. Let w(i) = i**3 - 4*i**2 + i + 4. What is the units digit of w(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6.08 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-1 - -2) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -129 - -128.5. What is the closest to y in -3, -2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3653677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 174 and 220236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, -5, -28, 1 in increasing order.\nAnswer: -36, -28, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*m - 88 = 5*m. Solve 0 = 2*q - r - 3, -m*q = 6*r - 2*r + 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-216)\/(-42))\/((-2)\/(-21)). Let f = -2 - -9. Let p = f + -1. What is the greatest common divisor of p and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 - 15360202?\nAnswer: -15360144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3091 - 3076. Calculate the remainder when 4466 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 42*h**3 + 8*h**2 + 12*h - 50. Calculate the remainder when 7181 is divided by t(2).\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(800)*-2)\/(-1*sqrt(1000)) + (sqrt(20) - (sqrt(20) - sqrt(40)\/(sqrt(6)\/sqrt(3))))\/(sqrt(192)\/sqrt(3)))**2.\nAnswer: 441\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -847*q**5 - 3278*q + 3278*q + (-2*q**4 + q**4 + 6*q**4)*(-2*q + 1 - 1).\nAnswer: -857*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 812402058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 22, 1.\nAnswer: 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 2 = 2*g + 4*g - 4*g, -11*v + 2 = -2*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/6*((-12)\/74)\/(237\/(-79)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k, 1 a, and 1 s when four letters picked without replacement from {k: 3, s: 5, a: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pdpdjodpprtrdop. What is prob of sequence rtd?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2819, -5639, -8459?\nAnswer: -11279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n**25)*n*n)\/(n*n**(-10\/11)*n*n*n) assuming n is positive.\nAnswer: n**(-287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*u + 500, p + 2*p = -5*u + 516. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*o**3 - 14*o**3 - 8*o**3)*(-2*o + 3*o + o).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 3951864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, m: 1, p: 2, d: 1, i: 2}. What is prob of sequence pp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 3*p - 3*p)*(-p + 2*p + p) - 5*p**2 - 7*p**2 + 6*p**2 + (1 + 0 - 2 + (-1 + 2 + 0)*(-3 - 1 + 2))*(-2*p**2 + 6*p**2 - p**2).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/5324288 and 53\/512.\nAnswer: 5324288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -257 and -283 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2790 - -2830. Suppose 2*q + 4*m - m - 23 = 0, 5*q - m - 49 = 0. What is the smallest common multiple of k and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56364\/117425*(5\/6)\/5\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 13*s - 18. Let j be (-2)\/(-2 + -2)*(0 + 30). Let t be m(j). Let p be (6\/t)\/(0 - 15\/4). What is the third biggest value in p, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-6) - 1*(-44)\/12. Suppose 4*y = 7*y - 12, 4*y + 9724 = r*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32355 - 120?\nAnswer: -32515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 1:49 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.418 - -0.018. Let g be 529\/10*30\/4. Let u = -393 + g. Sort u, 1\/6, k in descending order.\nAnswer: u, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36000 divided by -1800?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -0.2, 338, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/11*c**4 + 8\/11*c**2 - 2\/11*c**5 - 4\/11 - 2\/11*c + 4\/11*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -7*k - 5*k + 2*k + 0*k + 2 + 0*k. Let t(d) = -9*d + 1. What is -4*f(j) + 5*t(j)?\nAnswer: -5*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.2 + 8. Let b = l - 0. What is the closest to b in 1, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 0 + m**4 + 2*m**2 - m**4 - 5*m**4 in the form r*m**4 + c*m**3 + w*m + z*m**2 + a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 3001?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1694 divided by -1\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*z, -2*z = -4*x + z + 23. Suppose 7 = 2*j + d + 2*d, 4*d - 12 = -4*j. Suppose x*q = j*q + 99. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -66435 or -66432?\nAnswer: -66432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4*t**3 - 148*t**2 - 137512*t + 552160 = 0.\nAnswer: -170, 4, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(-3\/22)*(l**(1\/3))**0 assuming l is positive.\nAnswer: l**(-3\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.66, -4, 0.3 in descending order.\nAnswer: 2, 0.3, -0.66, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1010569416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -77 + 38. Does n = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -3282?\nAnswer: 9846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -a - 2*a + 4*m, 5*m = -a + 1. Suppose 2*y - 12 = -4*v, -3 = -5*y - 2*v + a. Let g = y - 2. Solve w - 1 - 2 = g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 322 and 170338.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 85433, 341169, 767391, 1364099, 2131293, 3068973?\n\"Answer: 85243*j**2 + 7*j + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.09  (b) 103035  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -4*d + 15, -36 + 1 = -2*d + 5*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 46650*w + 93296. What is t(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 5*h**7\/42 + h**6\/3 - 5*h**4\/6 - 5*h**3\/6 - 3*h. Factor r(d).\nAnswer: 5*d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*r + 8*r = -7, -3*t + 4*r = -26. Suppose -t*i + 5*w = -60, 2*i - 62 = w - 10. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/4)\/(4\/(-8) - -1). Sort 97, 0, f, 1 in decreasing order.\nAnswer: 97, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -4*t**5\/5 - t**3\/6 + t**2 - 1414*t. Give h(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 502*r**5 - 38148*r**4 + 314450*r**3 - 812740*r**2 + 531648*r + 4288 = 0?\nAnswer: -2\/251, 1, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43\/196976 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 95.9 + 30.1. Let k = -126.00000033 + n. Round k to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3184103425.\nAnswer: 5, 127364137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -98*n**2 - 2*n + 16419. Let x(y) = -y**2. Calculate l(x(v)).\nAnswer: -98*v**4 + 2*v**2 + 16419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0442437 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/5*v**4 - 412\/5*v - 408\/5*v**2 + 82 + 412\/5*v**3 = 0. What is v?\nAnswer: -1, 1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffvvfjfvrefvvpr. What is prob of picking 1 r and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = t + 4*h + 12, -3*t + 17 = h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-3 - -1) - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -11*i**2 - 4*i - 9. Suppose 0 = 4*f + 8 + 8. Let g(t) be the first derivative of 5*t**3\/3 + t**2 + 4*t - 2. Determine f*l(w) - 9*g(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/14)\/((-62)\/(-155))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 36086\nAnswer: -36076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 62*p. Let g(s) be the second derivative of 23*s**4\/12 + 2*s + 24. Determine u(g(x)).\nAnswer: 1426*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -649\/4 - -162. Suppose -5*g = -3*g - 4*x - 140, -x = g - 79. Let r be g\/(-70) - 8\/(-28). Which is the second smallest value?  (a) -5  (b) v  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4116 = -19002*d + 19086*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*i + 3*i. Suppose -5*m + 2*q = q - 11990, -2*q = m - 2398. Suppose -i*w = -3*d - 7196, 3*d = 2*d + 2*w - m. Round d to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**2 + 2*q. Let h(u) = 11*u**2. Calculate h(m(k)).\nAnswer: 99*k**4 + 132*k**3 + 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13643 (base 8) to base 15.\nAnswer: -1bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m*m\/((m*m*m**24*m*m)\/m)))**(1\/13)\/(m**(-2\/11)\/(m\/m**38)) assuming m is positive.\nAnswer: m**(-4968\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 - -27. Suppose -u + 6 = c. Suppose -358 = -4*j + u*y + 390, -3*j + 591 = 3*y. Does 48 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/(-88) - 5\/4. Let z be 0 - (q - (-5 + 13 - 5)). Solve -30 + 42 = -z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 3*u + 24. Suppose 0 = 4*g - u*g + 28. What is the least common multiple of 6 and g - 0\/1*-1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*y**2 - 17*y**2 - 121*y + 121*y + 28*y**2 - 3.\nAnswer: 30*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -127*n - 199. Let f be (-54)\/(2 + 4)*1. Let o(c) = -63*c - 100. Let g(p) = f*o(p) + 4*j(p). What is the first derivative of g(v) wrt v?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**4 - 2*n**4 - 3*n**4 + (n**2 + 2*n**3 - n**2)*(-3 + 3 - 2*n) + 3*n**4 + 2*n**4 - 2*n**4 + 4*n - 4*n - n**4.\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/86, -1.35 in decreasing order.\nAnswer: -1\/86, -1, -1.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -323*n**2 + 129*n**2 + 17*n**2 + n - 255*n**2 to the form x*n + d*n**2 + v and give d.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -35368 from 25.\nAnswer: 35393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, m: 4, w: 2}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 804419469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a3a + 1105d?\nAnswer: 11a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - u + 10. Let m be v(-5). Let t = 100 - m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 23*c + 12. Let w(f) = 15278*f + 0 + 4 - 7636*f - 7634*f. Determine 6*t(r) - 17*w(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -51212246, -51212248, -51212250?\n\"Answer: -2*w - 51212244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 123, 37, -111, -333, -641, -1047, -1563, -2201?\n\"Answer: -2*a**3 - 19*a**2 - 15*a + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -374, -468, -562, -656, -750, -844?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.002, 2\/17, -1.\nAnswer: -1, -0.002, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*i + 75 = 125*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 7:34 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 24 = -0*v. Solve 2*h = -h + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 - 5)*(7*d - 7*d + 23*d - 4 + 4 - d + (1 - d - 1)*(0 + 2 + 0)) as f*d + h and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - u = 1, -3*r + 0*r + 2*u = -5. Suppose -2 + 22 = 5*h. Suppose -3*w + 11 + 11 = h*s, -10 = -s - 3*w. Solve -q - 19 = -s*p, 0 = p + r*q + 9 - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**9\/756 - w**6\/180 + w**3\/6 - 7*w**2. Let q(y) be the first derivative of l(y). Find the third derivative of q(a) wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -611?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -8082182 take away -3?\nAnswer: -8082179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1855531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 168*q + 3. Let y be s(-13). Let r = y + 1111. Calculate the common denominator of (-3)\/52*r\/(-15) and -38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 2\/5  (b) 23\/5  (c) -2  (d) -4  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4156 is divided by 294.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 62*a**2 - 141*a + 839. Let l be d(64). Let r(p) = -3 + 0*p - 3 + p. Determine r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**5\/7 + 338*d**4\/7 - 2456*d**3\/7 + 1432*d**2\/7 + 4224*d\/7 = 0. What is d?\nAnswer: -176, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/26)\/(91\/(-3549))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 388.24?\nAnswer: -77.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-6)*(5 - -4). Let p = -10428 - -10430. Solve 4*a + b = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21172 + -34306. Which is smaller: -13135 or x?\nAnswer: -13135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -233, -783, -1855, -3623, -6261, -9943?\nAnswer: -14843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((1 - -1) + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 8925013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 23 = 26*h - 28*h, 0 = 3*h + 4*w - 32. Solve c + 0*c - h*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -789, -729, -669, -609, -549?\n\"Answer: 60*v - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2014 + -1390. Is 48 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1570585 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5*(-1)\/30 - (-11)\/6. Suppose 5*n**3 + 5*n**2 - 5*n**4 + 4*n**j + n**2 = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4226 divided by 246.\nAnswer: -2113\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-2)*j)\/(j*j**(1\/7)))\/(((j*j**4\/j)\/j)\/j*j**0))**(12\/5) assuming j is positive.\nAnswer: j**(-348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30800.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (8\/10)\/(30\/(-50))*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1884 is divided by 1839?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37.033 + 37. Sort -0.2, c, -1.\nAnswer: -1, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8185*z + 2112 = -8377*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 46 + 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1388079 or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15219 is divided by 1890.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -559 - -792. Solve 244*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -161 or -743751?\nAnswer: -743751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/((sqrt(81) - sqrt(81)*2)\/sqrt(9))*3.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 7) + -44 + 58 + (1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -7*r**4\/2 + 10*r**3\/3 + 44*r**2 + 24*r - 409. Factor m(g).\nAnswer: -2*(g - 3)*(g + 2)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-100))\/(2\/(-9) - (-169)\/234).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence titt when four letters picked without replacement from {c: 1, l: 1, t: 3, i: 1, s: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 - 17 = -1656*a + 1654*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2845245701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23a5 + 33a44?\nAnswer: 3164a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -251583, -1, 1 in ascending order.\nAnswer: -251583, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 10 = -26*b + 320. Let n(k) = k**3 + k**2 - k + 4. Calculate the remainder when n(3) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -10 + 5 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s - 7. Let j(y) = 2*y + 3. Let x(p) = 5*j(p) + 2*n(p). Let l be x(1). Suppose 3*v - 29 = -2*z, l*z = 2*v - v + 5. Does v = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2139, 2315, 2659, 3261, 4211?\nAnswer: 5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2122.12 millilitres in litres?\nAnswer: 2.12212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*4*sqrt(133) - sqrt(133) - sqrt(133)) + sqrt(133)*-2*-1)\/(sqrt(308)\/(sqrt(11)*-1) - 1*sqrt(252)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2322682 (base 11) to base 8.\nAnswer: -17367633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2257*l**3 + 479.\nAnswer: -6771*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 385711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 170*n - 15129. What is c(-64)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 6:09 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -86, -80, -74, -68?\n\"Answer: 6*m - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**3 - 185*a**2 + 2134*a - 94. Calculate f(79).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 - 2*v + 2. Let n = -8 - -10. Let l be h(n). Let z be 8 + 2 + 1 + -9. Solve 3*d = f - l, 3*f + d + z = 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -727*z**2 + 330*z**2 + 395*z**2. Let c(a) = -173*a + 3. Give c(q(j)).\nAnswer: 346*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssk when four letters picked without replacement from {s: 7, k: 3, w: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 3:07 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 PM and 10:27 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/5 + 2496*g\/5 - 58466\/5.\nAnswer: 2*(g - 23)*(g + 1271)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/h)**(38\/3)*h**(-12)*h*(h**(-5)*h)\/h assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -17 - 11. Suppose -v - 370 = -5*a + 4*v, x*v = -2*a + 130. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -19*u**3 - 9*u**2 - 4*u + 5. Let p(w) = 274*w**3 + 0 + 273*w**3 + 2*w + 4*w**2 - 2 - 538*w**3. Let i = -117 - -113. Calculate i*a(d) - 9*p(d).\nAnswer: -5*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a century in years?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-52)\/(-9) + 46\/207. Is 13 a factor of (4 - 12*x\/16)*-1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -160 - 90. Let m be ((-22)\/(-3))\/(2\/(-6)). Let v be (-10)\/y + m\/10. What is the second biggest value in 4\/7, 2, v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -10*h**3 + 4*h**2 + h - 4. Calculate q(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = u - 6*u. Let m(d) = -2*d - 9. Let o be m(-6). Let s = o + -3. Solve -y + 4*q = y - 14, s = 2*q + u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/506 and 24\/1771?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946707673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/124 and 127\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 260\/417 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5 - 4634*f**2 + 4630*f**2 - 5. Let d(o) = -13*o**2. Give -8*a(l) + 3*d(l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 885\/2 - 418. Suppose 0 = j + 1071 + 918. Calculate the common denominator of j\/(-374) - 4\/(-22) and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvoovvoovvvvvv. Give prob of picking 3 o and 1 v.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*p - 51*p + 840 = 0. Suppose 5*x + 15 = 0, 0*x = -3*s - 4*x + 210. What is the smallest common multiple of p and s?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1301232 + 12202?\nAnswer: 1320100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2189.3 + 2189.4. Which is the nearest to r?  (a) 0  (b) 0.159  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f - 38*f + 3*f + 7*f + 11*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 33159.66 centuries?\nAnswer: 39791592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291 + 321 = -17*c - 19*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -3. Solve -2 - i = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1 = 5. Let t be 18\/12 - (-15)\/n. Find the common denominator of (-30)\/t*2\/16 and 107\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/4*8\/10. Let o(h) be the first derivative of -1\/4*h**4 + 1\/3*h**3 - 163 + h**2 + h. Determine o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(891)*-2 + 1)**2.\nAnswer: -36*sqrt(11) + 3560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 119988, 830.\nAnswer: -4, 830, 119988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 3, 6, 4, 1201 in decreasing order.\nAnswer: 1201, 6, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 11) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -0.09.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1) + (2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5465 (base 7) to base 9\nAnswer: -2615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -6*c - c. Let s(a) = a - 1. Let q(y) = 6*y - 1 - 3*y + 2*y. Let i(f) = c*q(f) - 2*s(f). Calculate i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2\/4 - 27*b\/2.\nAnswer: 3*b*(b - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 - 33*k**3 + 0 - 45098*k + 0 + 45041*k.\nAnswer: -33*k**3 - k**2 - 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1074823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10 - -5) + 8*32. Suppose t = 2*f + 2*f - 133, -5*t - f - 707 = 0. Let a = s + t. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.747 times -0.5\nAnswer: -4.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2122012 (base 3) to base 15.\nAnswer: -882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*f - 61*f - 2*k + 60 = 0, f + 5*k = 35. Suppose f*y - 2*y - 2944 = 0. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in 0.1, 5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2603 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 5*u - 2. Let t be a(-4). Let l = 13 - t. Calculate the lowest common multiple of l and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 460 and 160885.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4942386289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**4 + 4*f**4 + f**2 - 33*f**3 + 36*f**3 + (5*f**3 - f**3 - 2*f**3)*(-5*f + f + 2*f).\nAnswer: 2*f**4 + 3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -99762 - -5?\nAnswer: -99757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384) + (-1*sqrt(384) - sqrt(384)))\/(sqrt(128) - sqrt(2)).\nAnswer: -8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82290253627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 3:22 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2664, 10298, 22968, 40674?\nAnswer: 63416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1675130 divided by 27.\nAnswer: -1675130\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -150 + 190. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 750*w - 10 - 743*w + 1 to the form h*w + k and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 15 = -5*r, 0 = -4*s + 3*s. Suppose -4*t - o = 81, -3*t + 5*o - r*o = 58. What is the remainder when 58 is divided by 118\/8 - 5\/t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188941 is divided by 859.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -907, -1795, -2683, -3571, -4459?\nAnswer: -5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*x + 148992 = -705*x - 2589*x for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 36, 58, 82, 108, 136?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q**3 - 3*q**2 + 3*q + 5. Let l be y(-4). Let g = l + -56. Solve 3*b + g = -0*o - o, 4*b + 18 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3)*(-3*d - 3*d + 3*d + (616*d + 90621 - 90621)*(4 - 3 + 0)).\nAnswer: 613*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of 0 - 1\/20*x**5 + 8*x**2 - 1\/3*x**4 - 312*x + 2\/3*x**3. Determine r, given that s(r) = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 0 - 8*h + 4*h**2 + 2 + 10 - 3*h**2. Give n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -494396, -494478, -494630, -494858, -495168, -495566, -496058?\nAnswer: -496650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1594317727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6 times 12\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k - 5*l = -28, 29 = k - 5*l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1032 and 15716328?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, 2, 4\/7, -1, 0.1.\nAnswer: -1, 0.1, 4\/7, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -87?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/c**(2\/17)*c*c\/(c**(-34)\/c) assuming c is positive.\nAnswer: c**(644\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-300*l**2 + 4764*l - 4764*l)*(-2*l**3 + l**3 - l**3) + (l**5 + l**5 + 0*l**5)*(-3 + 1 + 1).\nAnswer: 598*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 148*w**3 + 18*w**2 - 38*w - 4. Let g be b(-12). Round g to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 10*q + 1. Let t = -1 - -2. Does 11 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 199777, 199573, 199369?\nAnswer: 199165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25512407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 662*x. Let w(y) = -2*y**2. Give j(w(k)).\nAnswer: -1324*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 + 34*b**2 - 17*b + 89. Does 47 divide j(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*t - 253 - 327 = 3*t. Let x(d) = -d**2 - 10*d + 5. Let q(g) = -g**2 - 9*g + 4. Determine t*q(b) + 4*x(b).\nAnswer: b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -365559 - -2065553. Let h = 0 + 4. Suppose h*j - 6*j = 2*a + 3399994, -2*j - v = a. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 64 + 37 = 0. Let g(m) be the third derivative of -x*m**2 + 0 + 0*m**4 + 1\/10*m**5 - 1\/3*m**3 + 0*m. Differentiate g(d) with respect to d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110100110101000101111011 + 10?\nAnswer: 1110100110101000101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6014*o - 1969*o + 157755 = 0 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -j + 5*a, 2*j + 201*a - 203*a = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2701874381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 14, q: 5}. Give prob of sequence lqll.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 88504*k**3 - 352*k**2 + 573772441*k?\nAnswer: 531024*k - 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -7*o**2\/2 + 9*o + 30. Let w be n(2). Sort -1\/2, 0, w.\nAnswer: w, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sgxx when four letters picked without replacement from {s: 5, x: 8, w: 1, g: 5}.\nAnswer: 175\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**3\/9 - 1111*q**2\/3 - 904990*q\/3 - 10806616\/9 = 0 for q.\nAnswer: -1927, -1402, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(3\/(-1)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (4 - -2*(85\/(-10) + 6)). Solve w = s - 4*g + 17 - 30, 5*s - g = 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*a**4 + 165*a**3 - 3*a**2 - 3149*a?\nAnswer: -360*a + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 923532 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -536, -2, 1 in descending order.\nAnswer: 1, -2, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7390294 and 16543?\nAnswer: 524710874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -3*l - 5*p, -12 + 15 = -5*l + 4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29212, 72176, 115140, 158104, 201068, 244032?\n\"Answer: 42964*l - 13752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 323*c - 2785. What are the prime factors of f(149)?\nAnswer: 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fnnl when four letters picked without replacement from {f: 2, l: 3, n: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2915  (b) 1\/2  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3\/2 + 109*s\/2 + 210 = 0. What is s?\nAnswer: -7, -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 16. What is the third smallest value in b, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7c2 (base 16) to base 5\nAnswer: 30421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-2)*96\/18. Suppose 4*m - q = 0, -5*z - m + 4*m = 2. Find the second derivative of -5*g - 5*g**z + 0*g + 3*g wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b + 3*w + 8707 = 14*b, 2*b = -4*w + 3488. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-20))\/(((-30)\/15)\/2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 477611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 - 396932*a**2 + 19698742104*a - 433180232496.\nAnswer: 2*(a - 99222)**2*(a - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 261?  (a) -0.11  (b) -9  (c) 0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*k**1)\/k)\/k*k**(-3\/8))\/(k\/(k**0*k)*k*k**(4\/3)))\/(k**(-1\/4)*k*k*k**(-2\/5)*((k**(-1)*k*k)\/k)**(8\/5)) assuming k is positive.\nAnswer: k**(-487\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 951*c + 21*c + 218*c - 23800 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 16 + 11 - g)*((2*g + 3*g - 6*g)*(8*g**2 + 4*g**3 - 8*g**2) - 2*g**4 + 2*g**3 - 2*g**3).\nAnswer: 6*g**5 - 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhhrfssrrrfrrsf. What is prob of picking 3 s and 1 f?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*f**5 - 3*f**3 + 111856*f**2 - f + 4728261 wrt f?\nAnswer: -120*f**3 - 18*f + 223712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4432612968 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4257, 8474, 12689, 16902, 21113, 25322?\n\"Answer: -l**2 + 4220*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 5*-3*sqrt(117) + (-1*3*sqrt(117) - sqrt(117) - sqrt(117)) + sqrt(117))\/(sqrt(45)\/(-4*sqrt(45))).\nAnswer: 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 1102333?\nAnswer: -1102330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/6*(-30)\/(-7). Suppose -5*a = -g, 2*m - 2*a + a - 76 = 0. Suppose -648 = -4*i + w, i = 5*w + 122 + m. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.84037 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -10571168\nAnswer: 15\/10571168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-4)*(520\/(-39))\/20.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12690 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 545 + -1?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.18 + 2.7. Let i = 0.12 + d. Which is bigger: -2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 301, 1135, 2565, 4591, 7213, 10431?\n\"Answer: 298*m**2 - 60*m + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 5*y + 3. Find the second derivative of 2 - 3*u**2 - y - 2*u + 4 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -15025b5?\nAnswer: -15025b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -991*n**3 + 3*n**2 - 3*n + 9. Let m(y) = 1313074*y**3 - 3976*y**2 + 3976*y - 11928. Determine 3976*c(s) + 3*m(s).\nAnswer: -994*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2293137587.\nAnswer: 13, 7829, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 928*a**5 - a**4*s - a*s - 363*a + 2*s wrt a.\nAnswer: 18560*a**3 - 12*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s + v = 32*s - 1, 5*s - 1 = 3*v. Let q(h) = -h**3 - 3*h**2 + 2*h - 2. Let f be q(-4). What is the greatest common divisor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r**(-2\/3)*r)))\/(r\/(r**1*r))*r**(-1)*r*r\/(r**(-5)\/r) assuming r is positive.\nAnswer: r**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 26*g**3 + 152872*g - 6129227?\nAnswer: 78*g**2 + 152872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*p - 1863 + 1863.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 - -59. Let p = 0.201 - -36.199. Let r = p - 36. Is r equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -7*s**2 + 2*s + 1. Determine b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -103616, -207236, -310856, -414476, -518096?\n\"Answer: -103620*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/18 and 79\/21313347.\nAnswer: 127880082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18243 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -55, -25, 75, 269, 581, 1035, 1655?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2366*t + 608*t**2 - 4752*t + 2387*t to m + h*t + z*t**2 and give z.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 3*k = -6, 0 = -3*p - 0*k - 2*k - 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 923*m + 96. Let g(o) = -615*o - 61. Calculate 8*g(s) + 5*y(s).\nAnswer: -305*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -2 + (2 + 5 - -4) - 46.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1249300 is divided by 208176?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+-0.2069\nAnswer: -0.7069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 14*z - 26. Suppose 0 = -6*h + 19 + z. Solve 1 = s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 3*b - 1. Let w be g(3). Let v(r) be the first derivative of -r + 1\/3*r**3 - 1\/2*r**2 + 7\/4*r**4 + 1. Determine v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 98, 109?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -z**4\/6 + 2*z**3\/3 - z**2. Suppose 4*y + 3*v = -1, 22 = -y + 4*v - 2. What are the prime factors of j(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3 + 4 + 754*h - 756*h - 1. Let b(w) be the third derivative of -w**4\/24 - 31*w**3\/6 + 2*w**2. What is r(b(t))?\nAnswer: 2*t + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (-19 - (-68 + 47))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**6\/120 + 3*x**5\/20 + x**4\/4 - 2*x**3 - 12*x**2. Let b be f(8). What is b rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04365754 + -0.0435. Round d to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 262*k - 50. Let m(r) = 14*r - 3. Calculate a(c) - 5*m(c).\nAnswer: 192*c - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. Suppose q*p + 3 + 1 = 0. Let h be 1 + p + -2 + 9. Which is smaller: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-37)*i)\/i)\/(i\/(((i\/i**(-1\/8)*i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(9\/6)*(6993\/74)\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/16 and 99\/4132.\nAnswer: 16528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3195, 6404, 9639, 12912, 16235, 19620, 23079?\nAnswer: 26624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, m: 1, c: 4, v: 9}. Give prob of sequence vqm.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 988, 2343, 4240?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 - -53. Let b = u - -34. What are the prime factors of -1 + (3 - 2\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1 + 19)*(-14 - 520\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46890, -46889, -46888, -46887?\nAnswer: -46886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -224*p + 1142. Let j be q(5). Let z be 4\/6 + 20\/24. Which is the biggest value?  (a) j  (b) -0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1464635*l**3*s - l**3 + 2*l**2*o*s + l**2*o - 65*l*o + 2938*l + 2*o wrt s?\nAnswer: 1464635*l**3 + 2*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/21930 and 49\/21930?\nAnswer: 21930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 9*p + 1. Let y(b) = -b. Let f(a) = -v(a) + y(a). Let s(c) = -c + 7. Let i be s(8). Let o be f(i). Solve 5*k + g = 15, g - 3*g = -3*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from fkkwmfkfbkksk.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 3:48 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/14))**(1\/4)*l**22*l*l**(-25) assuming l is positive.\nAnswer: l**(-109\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -846*g - 44. Let h be q(-1). Let x = h + -803. Suppose 3*a = -z - 6, 0 = 4*z + 4*a - 0*a + 32. Put x, 2, z in increasing order.\nAnswer: z, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -104 - -104?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 607618*d**2 - 134*d - 133. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 7*v**3 - 8*v**2 - 8*v + 12. Let h(y) = -4*y**3 + 4*y**2 + 4*y - 6. Let p(i) = 5*h(i) + 3*q(i). What are the prime factors of p(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 807 - 165*z - 160*z + 322*z + 504 - z**2.\nAnswer: -z**2 - 3*z + 1311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1076\/5 + 216. Let y = 15600 + -46799\/3. Let n = 2 + -2. What is the closest to n in h, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 2)*(-133 - 61*d - 563*d + 70 + 65) to the form r*d + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2075 (base 8) to base 16\nAnswer: -43d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, j: 1, s: 2}. What is prob of picking 2 s, 1 j, and 1 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {z: 5, x: 3, g: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {l: 4, h: 7, i: 2, b: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 4*h = -24, -6*a + 3*a = -4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 435 a factor of 3323325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 18*a**2 - 20*a + 18. Let h be k(14). Let o = h + 389. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -12 - (-1 + 6 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 925999\/279 - 3319. Which is bigger: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 3:32 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4191976 + -10513504. Let m = l - -9211528. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31632632893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5 = 3*p + t, -2*p - t = 0. Let r = 5 + p. What is the greatest common factor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6839519.\nAnswer: 191, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 34503 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -403*q**2 - 3845*q**3 - 237*q**4 + 3844*q**3 - 2 + 405*q**2 + 11*q to c*q**2 + s + m*q + t*q**4 + h*q**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -846, -845, -844?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 69 = -4*a. Suppose -3*d = -4*d + z + 27, -z = 3*d - 89. Calculate the remainder when d is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -30*z + 5. Suppose -8*q + 32 = -7*q - 9*q. What is l(q)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12152089?\nAnswer: 167, 72767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 7*n**2 - 7*n - 6. Let i = 21 - 13. Let s be g(i). Factor 6\/7*d**s - 2\/7*d - 4\/7*d**3 + 0.\nAnswer: -2*d*(d - 1)*(2*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2800 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 4\/241?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + ((-16)\/(-2) - 3). Let y = d + -2. Suppose 35 = y*z - b + 11, b = -3*z + 36. Solve -c - 4*j = -0*c - z, -5*j + 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-10) + -2 - ((6 - -2) + -4).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -1675.\nAnswer: -13\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 28170905*s**3*v + s**2*v + 1383*s*v + v - 2980 wrt s?\nAnswer: 169025430*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(832) + 2 + sqrt(832) - sqrt(832)) + -1 + -2 + 4*sqrt(468) + 3.\nAnswer: 4 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3643 is divided by 366.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (112*o**2 + 58*o**2 + 45*o**2 + 12*o**2)*(2 - 2 + o) to the form c*o**3 + g*o + s*o**2 + k and give c.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0, 5, -2\/21, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 140 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t - 72 = -3*t + 38*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, -2358, 2\/11?\nAnswer: -2358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, o: 4, j: 2, x: 2, n: 8}. What is prob of picking 1 o and 3 n?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -0.04  (c) 17  (d) -3  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 78432*h**5 - 58923*h**2?\nAnswer: 4705920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 0, 0.3, 81, -133, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*i + 22, 0*i - 3*i - h - 67 = 0. Let j be -30*(98\/i - (1 - 5)). Let z = j - 1. Calculate the highest common divisor of z and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652674 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 390 and 1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1089\/14 - -147\/2. Suppose 85 - 13 = n. Let y = 118 - n. What is the common denominator of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 5)*(2*d - 2*d - d) + (33*d + 418 - 418)*(2 - 1 - 3).\nAnswer: -65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -3810102?\nAnswer: -1\/1270034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 + 4*h**2 - 236*h + 159. Is x(16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/98 and -65\/47410426?\nAnswer: 331872982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-10))\/(12\/(-200)*-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 6*h + 3. Suppose -2*r + 5*q + 55 = 3*r, 0 = 2*q - 8. Suppose 0 = 16*i - 13*i - r. Solve -4*o = -h*k - 2*o - 3, 2*o + 21 = -i*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 153 - 286. Let o = -125 - l. Calculate the highest common factor of 64 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*b + 7063 - 5920 = 504*b + 33303 for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 4) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 643711251, 643711252, 643711253, 643711254, 643711255, 643711256?\n\"Answer: t + 643711250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -103 + 102. Let u be (y\/(3\/(-22)))\/(36\/54). Find the second derivative of -33*w - u*w**2 - 26 + 26 wrt w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 756 - 281. Calculate the highest common divisor of 50 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 2*q**2 - q + 2. Let s be y(-2). Suppose 2 = -6*l + 9*l + h, -4 = -s*l - h. Factor -5*w**2 - 22 + 4 - 16*w**l + 26*w + 43*w.\nAnswer: -3*(w - 3)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/7)\/(13\/91). Solve -4*f - 10 = 5*y + 15, i*y + 15 = 2*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50140 and 498893.\nAnswer: 9977860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -312 (base 4) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - 12\/(-3)) + 1 + -22335. Let f = n - 2867. Round f to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1682305921 to the power of 1\/2, to the nearest integer?\nAnswer: 41016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 6*m - 4 = 0, -m + 3 = 4*p. Let y = p + 35. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 j when three letters picked without replacement from gvcvjdvvcvgdcv?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32291830, -64583648, -96875454, -129167242, -161459006, -193750740?\nAnswer: -226042438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -137*k - k**2 - 4 + 4 + 106*k - 9*k**3 as l*k**2 + j*k**3 + a*k + x and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(a*a*a**(2\/7)\/a*a)\/a*a**(-6)*a)\/((a*a**7)\/(a\/(a*a**6)*a))*(a\/a**(-1\/9))\/(a**(-5)*a)*(a**(-1))**(4\/33) assuming a is positive.\nAnswer: a**(-7432\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -75109647 divided by -233?\nAnswer: 322359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 11:11 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1302413 (base 9) to base 15.\nAnswer: -e073c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**3 + s - s + (-2*s + 6*s - 2*s)*(3*s**2 + s**2 - 2*s**2) + (-s**2 + 2*s**2 - 2*s**2)*(4*s - 18*s - 19*s) as a*s**2 + z + n*s + q*s**3 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, d: 1, g: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {b: 1, i: 2, a: 5, q: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*i - 927 = -129*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*h + 3*h - 5*h)*(h - 2*h + 3*h) - 3*h + h**2 + 3*h + (2 - 7 - 4)*(11 - 11 + 39*h**2) to the form f + o*h + g*h**2 and give g.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-2*sqrt(1539) + 4 + (-1 + sqrt(1539))*2 - (-1*sqrt(1539) + -5)*3))**2 + -3 + -4.\nAnswer: 648*sqrt(19) + 13988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - j - 6268, 21*j + 4 = 22*j. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.23062 + 95.69938. Let o = -1.93 + d. Let s = o - 93.9999893. Round s to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12231 is divided by 67?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 222, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 72308 and 72251 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*k - 107 + 107.\nAnswer: -47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1203206, -1203131, -1203056, -1202981?\n\"Answer: 75*s - 1203281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48276 = -96*l + 4524. What is the remainder when l is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2740 + 1019 + 634*s - 216*s - 2877 wrt s.\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13694 + 1.07898\nAnswer: -13692.92102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 6 + 7 + 8*d - 3. Let a be f(-7). Suppose -5*p = -a - 12. Solve 2*n + 5 = -p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2214 is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 465370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 527*n**5 - 1082*n**5 - 340*n**2 + 4411*n + 556*n**5 wrt n?\nAnswer: 20*n**3 - 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 592909931?\nAnswer: 79, 433, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1300611, -2601218, -3901825?\n\"Answer: -1300607*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 240412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.0361 * -36.12\nAnswer: 1.303932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 1, -0.6, 0 in descending order.\nAnswer: 18, 1, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -8037*v + 21. Let s(r) = 2006*r - 5. Give -5*a(x) - 21*s(x).\nAnswer: -1941*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 508*f**2 - 205*f + 13. What is the thousands digit of j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y\/y**(-1\/10))**(-1\/30)\/(y**21*y*(y**12*y*y)\/y) assuming y is positive.\nAnswer: y**(-10531\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 9. Let n = -8.4 - -7.4. Suppose 5*y + 10 = -0. What is the third smallest value in n, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6148 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i. Suppose -1 = v - 3. Let d(n) = -v*n + n + 0*n. Give d(h(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18283?\nAnswer: 47, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 62\/41  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -23*k - k**2 + 1 - 4 + 0 + k**3 + 18*k = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 4*i + 115. Give p(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 483.29 + 0.03.\nAnswer: 483.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-116)\/14 - 15\/(-35). Find the second derivative of h + 7*h + h - f*h**2 wrt h.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*f - 6. Find the third derivative of -b**3 + b**2 - 5*b**f + 6*b**3 - 4*b**5 wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1283939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-45)*-623*(-95)\/532.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5459.\nAnswer: 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of q**4\/6 + q**2 - q. Let o(d) be the first derivative of d**3\/3 - 1. Calculate o(t(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -392.823*-0.08.\nAnswer: 31.42584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -5*p - 6, p + 610*n - 8 = 615*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 10659 and 10657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 82 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2, -182, 164 in increasing order.\nAnswer: -182, -10, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -2. Solve 7*i - a*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + o - 3. Let q be (-22 - -1)\/(4 - 5). Suppose q = a - 4*t + 4, -t = 2*a + 11. List the prime factors of d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52916 is divided by 12861?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 9:18 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 635390 greater than or equal to 635391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 1\/2, 3\/7, -3\/7 in descending order.\nAnswer: 1\/2, 3\/7, 1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/784 and -33\/85.\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5619 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12.661 - -12.6609989434. Round u to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**2 - 2*o - o + 4*o + 2*o**2. Suppose -237 + 113 = -31*t. Calculate the lowest common multiple of t and q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40)\/(-24) - 1)\/((-5)\/((-405)\/6))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.926 + -0.024. Let y = j - 0.05. Let m = -0.2 - -0.3. Are m and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2*s - 6 + 2 = 0, 5*a = -5*s + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 4:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112220187*w**5 - 200807097*w wrt w?\nAnswer: -2244403740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -11*u. Let a(p) = p**2 + 6*p + 4. Let c be a(-8). Let g be (1\/4)\/((-5)\/c). Determine k(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1002b (base 13) in base 14?\nAnswer: -a5ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 20*y - 340. What is q(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0474531 rounded to 3 decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 8*r**2 + 8*r - 7. Let h be a(7). Suppose -f - f = h. Solve f = -5*s + 2*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 7:50 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 19*d**2 - 46*d - 26. What is m(11)?\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-3 + (-10 - -6 - -10) - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 765 is divided by 182.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 541923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1*(sqrt(68) + -1 + sqrt(68))*-5 + -4)*1 + 0 + -4)**2.\nAnswer: -560*sqrt(17) + 6996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**4 - 4*g**4 + 4*g**4)*(1 - 1 - 2*g) - 14*g**5 + g**5 + 5*g**5 + (3*g - 5*g - g)*(13*g**4 + 8*g - 8*g).\nAnswer: -45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 14*m + 25. Let j be v(-12). Let s be 9\/2 + 6\/(-12). Let z = 15\/8 - 5\/24. Sort s, j, z in decreasing order.\nAnswer: s, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 53\/3*(6 + (-6)\/2). Suppose -4*s + 3*i - 288 = 0, 3*s - 4*i + 170 = -y. Let a = s + 99. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 8*b + 15. Let r be w(-6). Suppose -r*t = t - 44. Calculate the remainder when 41*((-4)\/(-2) + -1) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/15, 174\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 226814875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 - 20. Let x = m - -45. Suppose -2*j = 4*i - 222, x*j + i = -4*i + 220. List the prime factors of j.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 325. Let u(g) = 5*g + 654. Determine 5*k(w) - 2*u(w).\nAnswer: -10*w + 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (4 - 3) + 3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/7, 0.6, -79, -0.1, -1\/2, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 59774, 88078, 164900, 314498, 561130, 929054, 1442528, 2125810?\n\"Answer: 4043*x**3 + x**2 + 55730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2023*x + 50617 = -2748*x - 216559 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(76))*3 + (0 + 0 + sqrt(2736) - sqrt(2736))**2.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = 3*i + 2*o, -5*o - 38 = 6*i - 7*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/76?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*b + 8*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (13 + (-6 - 20))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, k: 7}. Give prob of sequence ykkk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 173145870809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/9 - (-1682932)\/(-153). Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ca544 (base 16) in base 9?\nAnswer: 1502732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -10003*z + 20006. Let k be t(2). Let m = -125\/4 - -30. Which is the nearest to 0?  (a) 4\/5  (b) k  (c) m  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -59*v**2 - 9*v - 5. Let l(b) = 148*b**2 + 22*b + 12. What is 5*l(o) + 12*y(o)?\nAnswer: 32*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(55)\/(sqrt(891)*5) + (sqrt(600)\/(sqrt(60)\/sqrt(5) + sqrt(12)))\/(sqrt(10) + -5*(sqrt(10) - -1*sqrt(10))).\nAnswer: -17*sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/12*(-153)\/(-21). Let t = o - -181\/126. Which is greater: 2\/3 or t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -12. Let g be (-1)\/i + (-1088)\/85. Which is greater: -16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m*v + 12*m*y**3 + 11687*m*y - 3*v*y**4 + 6882*v*y**3 - 4*v*y**2 wrt y.\nAnswer: 72*m - 72*v*y + 41292*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -90*(-5)\/20*2. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13519 is divided by 117?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + (sqrt(343) + 1 + -4 - (-4 + (0 + sqrt(343))**2)))*-5.\nAnswer: -35*sqrt(7) + 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 5*d - 65 = 0, -331*d - 51 = -6*b - 328*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-3)*93\/372*4\/7\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*v + 59 = -67*v + 141*v + 653 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 5. Let y(g) = -g**2 - 4. Let k(j) = -2*j**2 - j - 8. Let b(n) = 6*k(n) - 11*y(n). Calculate b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3015 >= 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**5\/60 - 7*r**4\/24 - r**3 - 3*r**2. Let i(w) = -w**2 + 7*w - 2. Let n be i(5). What is q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + sqrt(200) + (-6*2*sqrt(200) - sqrt(200)))*3)\/(-6*(sqrt(144)*2 - sqrt(144) - sqrt(144) - sqrt(144))*-6).\nAnswer: 55*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*c + 5*q, c - 6*c - 19 = -q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a**2 + 64653116*a + 18472320 = 0. Calculate a.\nAnswer: -2\/7, 4618080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -53289060*h**2 - 2*h + 32740655 wrt h?\nAnswer: -106578120*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*((-11)\/(-22))\/(1 + -6). Which is the nearest to 1?  (a) z  (b) -0.6  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 966 is divided by 318.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 318, 634, 950, 1266, 1582?\n\"Answer: 316*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 48 = 8*z, 4*g - 421 = 5*z - 414 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1260 + -16382\/13. Are 10 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1338397, 2676789, 4015181, 5353573?\nAnswer: 6691965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-1\/5)*h**(2\/3)\/h*h*h*(h**5*h)\/(h**5*h))**(2\/37))**47 assuming h is positive.\nAnswer: h**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1519 divide 797599045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/9*18\/4. Suppose 0 = 5*y + 5*o - 10, -o = 3*y - 0*o - 14. What is the smallest common multiple of (b - y\/2) + -3 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.6 and -9717 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d. Let i(s) be the second derivative of -33*s**4\/4 + s - 53. Give i(c(g)).\nAnswer: -891*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30601857*j + 91805569*j - 30601850*j - 30601863*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/8)*u*u\/u**(-1\/9)*u*u*u)\/(u\/(u\/u**(-4)))**31 assuming u is positive.\nAnswer: u**(9323\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of y**4\/8 - y**3\/6 + 86*y**2. Let m(p) = -4*p + 2. What is 6*g(s) + 4*m(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49515?\nAnswer: 3, 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-78)\/6)*(6 + -2 + 2 + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 7 = 3*i - q, 5*i + 5*q = 35. Suppose 3*v + y + 0 = -3, 3 = -i*v - y. Suppose -l + 5*l - 64 = v. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n**2 + 8*n**2 - 1 - 26*n**2 - 18*n**2 as r + y*n**2 + j*n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -43*a**5\/20 + 21*a**4\/8 + a**2 - 52. What is the second derivative of s(p) wrt p?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7628946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -23059*v + 6733266. Calculate p(292).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8259345?\nAnswer: 3, 5, 29, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -32*t**2 - 4*t. Let v(m) = -m**2. Determine g(v(f)).\nAnswer: -32*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31c8 + -3?\nAnswer: 31c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = o - 25. Suppose -n = -3*c - 6*n + 12, -o*c + 20 = 4*n. What is the smallest common multiple of c and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 2*y**2 - 2*y - y**2. Let s(x) = -2*x**2 - 3*x. Let h(j) = 6*k(j) - 4*s(j). Let b(g) = 2*g. Calculate h(b(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 minus 25299?\nAnswer: -25308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**5\/5 + 24*d**4\/5 - 168*d**3\/5 - 464*d**2\/5 + 3108*d\/5 - 3528\/5 = 0. What is d?\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (27 + -25 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -8. Suppose 5*n - 4*s = -706, -z*s + 4 - 8 = 0. Let g = n - -209. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1497 + 398 + 394 - 13*q + 705.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 74312, 148626, 222940, 297254, 371568?\n\"Answer: 74314*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/1692 and 103\/1497204.\nAnswer: 70368588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 2*t**2 + 3*t. Let j be i(-7). Is (-42)\/(-4)*12\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 4*q + 516, 0*q + 1047 = 4*p + 5*q. What is the remainder when p is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of 37*d**5\/60 + d**4\/12 + 359*d**2 + d + 1. Let w(b) = 86*b. Determine w(p(j)).\nAnswer: 3182*j**2 + 172*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 64 = -8*p - 120, -117 = 5*p + 2*h for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18629840 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212996?\nAnswer: 2, 7, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 81\/8*l**2 - 15\/8*l**4 + 9\/8*l**3 + 75\/8*l + 9\/4 = 0. What is l?\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) + (sqrt(84) + 2*sqrt(84))*1)\/(-6*sqrt(60)\/sqrt(5)) + -1.\nAnswer: -2*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*w + 3*w + 12*x + 13*x - 23*x - 54, 0 = -5*w + 4*x - 93 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 2*d - 13 + 5 = 0, 5*c = -5*d - 20. Let x(m) = 2*m**2 - 2*m - 3. Let n be x(3). Let o = n + c. Solve -g - o = -v, 0*v - v = -4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 877*u + 1109. Does 28 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.8  (b) 7062  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8\/10*245\/2 is divided by ((-16)\/(-6) + -1)\/((-1002)\/(-12024))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-20) - (-10)\/8 - -2. Suppose -2*r = u*r + 7*r. Solve -3*b + r*b = 5*y + 34, -5*b = 2*y + 25 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + -1 - 48)*-1. Let z = f - 27. 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: Calculate (7 - 6) + -2 - 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 352.28 + 7.72. Let g = h + -338. Put -1, 1, -2, g in descending order.\nAnswer: g, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -6.9, -2 in decreasing order.\nAnswer: -0.4, -2, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**7\/42 + u**6\/24 - u**5\/6 - 67*u**2. Factor h(v).\nAnswer: 5*v**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 719255 (base 10) to base 3.\nAnswer: 1100112122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((((-1*sqrt(490) - sqrt(490)) + sqrt(490))*2 - sqrt(490))\/sqrt(10))\/((sqrt(84)\/(sqrt(6)*-1))\/sqrt(2)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2222*j + 4040*j - 1893*j.\nAnswer: -75*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) 0.5  (c) 1\/3  (d) 299245  (e) -0.5  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144023*h = 144472*h + 27389 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 3*d - 26. Let p be i(5). Let j(c) = -5*c - 40. Let z(r) = 2*r + 14. Let x(w) = p*z(w) - 4*j(w). What is x(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (8 - -4)) + (-30 - -30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.19 - 0.19. Let y = 8 + -3. Suppose 0 = -o - 3*i - 2*i + 10, 0 = -2*i + 4. What is the biggest value in o, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z + 106. Determine l(-10).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/3))**(-1\/26)\/(p**(-2\/3)\/p*p\/(p**2*p)))**(-2\/17) assuming p is positive.\nAnswer: p**(-95\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g - 15. Determine k(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -439*o**5 + o**3 + 84*o**2 + 72*o + 386?\nAnswer: -8780*o**3 + 6*o + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 121 (base 10) to base 3\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-21))\/(6\/(-21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4238372 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -145*c**2 + 48430*c + 11. What is g(334)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 0 + 44 + -62\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8579*q + 415045 + 215977 + 134189 - 10259 = 0 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5792407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 586462 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 29\/6, -0.2, -5, -4, 0.168 in descending order.\nAnswer: 29\/6, 0.2, 0.168, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of -29\/2*s**2 + 0*s**4 + 26*s + 0 + 17\/20*s**5 + 0*s**3. Find the first derivative of a(k) wrt k.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -7*h**4 + 1482*h**3 - 83828*h**2 + 558552*h + 166464 = 0.\nAnswer: -2\/7, 8, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/7 - 115427*z**2 + 1615975*z\/7 - 807987\/7.\nAnswer: (z - 807987)*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 4*j = 12, 3 = -2*r + 3*r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 6*j**3 + 26*j**2 + 8*j - 2. Let y be b(-4). Let r = -0.25 - -0.26. Sort -1\/9, y, r in increasing order.\nAnswer: y, -1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -17*h**2 + 1490*h + 184514. Let x(u) = 231*u**2 - 19371*u - 2398683. Let p(s) = 2*x(s) + 27*y(s). Let p(j) = 0. What is j?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.13 + 1.87. Which is the third smallest value?  (a) 3  (b) 1\/11  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 168 - 156 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - b = -6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q + 18. Let i be t(-17). Let h = -37 - i. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*8397016\nAnswer: -2519104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442258635?\nAnswer: 3, 5, 7, 13, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**3 - 92*j**2 - 550*j - 156. Calculate r(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -o + 2. Suppose 4*g - n - 7 - 17 = 0, -o*g + n + 14 = 0. Suppose -x - 2*m = -2, g*x + 2*m + 3*m - 5 = 0. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 10 = 5*a, 5*g - 3*a - 50 = -7*a. Let x be 21\/(-7) + 26\/g. What is the biggest value in 0.5, x, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85909916.\nAnswer: 2, 211, 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 716 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/1941 and 50\/1941.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*v + 2*v**2 - 97*v + 56*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*o + 10*o = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-161)\/(-35) - 6\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 214\/(483854\/(-1197)) + (1\/(-1))\/(-1)\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -1. Let b be (-16)\/12 - s\/(-9). Does 2 divide (-3)\/b*(-48)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) 12  (c) 2\/11  (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 45 - 93 + 47 - 2*m - 12*m**3 in the form s*m + v*m**3 + t*m**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 221 and ((-385)\/(-15) - 4)\/(105\/63)?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 8*p + 5. Let m be r(-7). Let d be 3\/m*(-2)\/3. Let b be 0\/3 - 12\/(-8). Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4044067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 3*g + 2*g)*(-1 + 10364*g - 10365*g + 1 - 6706*g**4).\nAnswer: -6706*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 16 + 3*2\/(-3). Let j = -43\/3 + i. Which is the closest to 0.2?  (a) j  (b) -0.4  (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u**2 - u**2 + u**2)*(2027 - 346 - 178)*(-2 - 5 + 2) + u**2 - u**2 + 2*u**2 as p + c*u + z*u**2 and give z.\nAnswer: 7517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.1, -0.3, 12, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157157, 157160, 157165, 157172, 157181, 157192?\nAnswer: 157205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1509, -3079, -4649, -6219?\n\"Answer: -1570*z + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 5. Let f be q(7). Let l = f - -3. Is (-1 - 141\/(-3)) + l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.05251034 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 469.6 + -470. Which is the closest to -3?  (a) 1\/4  (b) -0.03  (c) -5  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - 0. Is 2 a factor of ((-7)\/3)\/(z\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 109483 - 367887 = 0. Suppose -3*i - 280108 = 2*y, 0 = 2*i - 7*i + 5*y - 466855. Let x = s + i. Round x to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 12, 5*s - s = 3*r + 4. Find the second derivative of 3*p**r - 3*p**4 - 3*p + p**5 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4072.3 - 4070.4577. Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42 - 1 - (-41 + 119 + -93).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 46 = -19. Let c = j - -67. Solve 0*h + 8 = -c*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 246\/5492*94\/282 and 109\/14.\nAnswer: 19222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7478, -7466, -7452, -7436, -7418?\n\"Answer: s**2 + 9*s - 7488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, q: 3, l: 1, n: 3, d: 6}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -17. Suppose 5*v + t*h - 20 = 0, -v = -0*v - h - 4. List the prime factors of 222\/v + 3\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*q + 26*q + 45 = 0. Calculate the remainder when (q + -10)*58*(2 - 3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6*6\/40. Let o = y - 3\/20. Calculate the common denominator of -9*10\/15*(-42)\/96 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3, -9, -19, -21, -9?\n\"Answer: p**3 - 5*p**2 - 4*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056885274.\nAnswer: 2, 17, 31084861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.84 - -0.65. What is d rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100333 - 1322322?\nAnswer: -1221323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -660*w**3 + 7*w**2 - 12*w + 34. Let i(c) = 1318*c**3 - 13*c**2 + 25*c - 68. Let b(k) = 6*i(k) + 11*x(k). Is b(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 11 = 3*l, 3*l + 12*f - 8*f - 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v - 30. Let z be f(10). Let o be (-22)\/(-4) - (-5)\/z. Let x = 1 - 3. What is the nearest to 0.3 in -2\/3, x, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29324 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 81283, 325381, 732211, 1301773, 2034067, 2929093?\n\"Answer: 81366*n**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(270\/(-85)))\/(11\/(-99))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 11. Let n be g(3). Suppose -3*m - 4 = -3*d + n*d, -3*m + 10 = -2*d. Suppose -3*w = m*z - 166, w + 2*z = 6*z + 32. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305436894?\nAnswer: 2, 3, 7, 19, 54679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000006705 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 32 = -4*t, 2*z - 35 = -3*t - 2*z. Let o = 7 - t. Let y be ((-680)\/16)\/(o\/(-720)). What is y rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*c - 56406 = -43*c - 1131. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 485162 and 10.\nAnswer: 2425810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -219818366*i**3*o**3 + 136*i**3*o - 86*i**3 - 3*i*o**2 + 24*i*o - o**2 wrt o?\nAnswer: -1318910196*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5*o**3 - 5*o**2 + 2*o - 2. Let a be d(-4). What is the highest common divisor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*p + 1875 + 549. Let j = p - 162. Is j*(-2)\/(24\/(-44)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-6) + -2 + 10\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233303321123 (base 4) to base 8.\nAnswer: 57637133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 15*n**3 + 290*n**2 - 65*n - 1261. Let q(u) = 0. Calculate u.\nAnswer: -13, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 9*a + 495. Calculate the lowest common multiple of (-12)\/5*(-118 + 47824\/448) and a.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 3*g - 3*g)*(56*g**2 + 104*g**2 - 71*g**2).\nAnswer: -89*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 73 + 57. Let i = u + 28. Solve 7*a**i + 8 - 12*a - 13*a**2 - 2*a + 4 = 0 for a.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2530*a*j**4 - 10*a*j - 4869*a - 2*j**4 wrt j.\nAnswer: 30360*a*j**2 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-32)*5*(-6)\/(-210).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1721*z - 76178 = 166*z - 454*z - 11693 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q = 0. Suppose 254 = -q*p + 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -55385 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.06  (b) 3\/2  (c) -5\/2  (d) -5  (e) 7  (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -371493\/14 - -26478. Let k = -1214\/21 - p. Let s = k - 1\/14. What is the smallest value in -2\/11, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, 4, 2, 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**3\/3 + 5*s**2\/2 + 4*s - 4. Let t be y(-5). List the prime factors of (-10)\/t*(-162)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-113*v**2 + v - 114*v**2 + 226*v**2 - 2)*(-2 + 3*v + 2).\nAnswer: -3*v**3 + 3*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -752, 0.1 in decreasing order.\nAnswer: 0.1, -0.2, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -61461 divided by -1\nAnswer: 61461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 3*j - 4. Let a(d) = -d**3 + d**2 + 2*d + 1. Let v(i) = -3*i**3 + 3*i**2 + 5*i + 3. Let h(t) = -8*a(t) + 3*v(t). Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11216 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 19 - 37 - 2*p + 3*p**2 + 19. Let a(w) = -10*w**2 + 7*w - 3. Determine 2*a(l) + 7*j(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/250*5*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 960248345?\nAnswer: 5, 7, 3919381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**3 + 9*s**2 - 138*s + 822. Let w(y) = -y**2 - 2*y + 2. Let i(a) = h(a) + 21*w(a). Solve i(q) = 0.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.4 in 232, 0, -0.2, -3, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-7) - (-95)\/(-35). Sort w, -5, 3.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111, 453, 1023, 1821, 2847, 4101, 5583?\nAnswer: 7293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3 + 0*s**2 + 7*s + s**2 + 2 - 2*s**2. Let m be o(7). Suppose q - 14 = -z, -m*q = 11 + 9. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2423 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 25 = -2*s, -4*s + 5*z - 147 = -100 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmj. Give prob of picking 1 j and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1733, -7089, -16045, -28601, -44757, -64513?\n\"Answer: -1800*g**2 + 44*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h**4 - 4*h**3*u - 5331*h + u - 170173 with respect to h.\nAnswer: 4*h**3 - 12*h**2*u - 5331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = z - 100. Suppose -3*j + 7*j - 12 = -4*q, 5 = -5*j. Solve 3*i - 6*i = -q*n - 15, 5*i = n + z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1201 (base 5) to base 12\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w**2\/5 - 4*w\/5 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 5*s - 2*s + 8 - 4.\nAnswer: 3*s - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2168878, -2168895, -2168912, -2168929, -2168946?\nAnswer: -2168963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1394911?\nAnswer: 7, 101, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 292661392 to the power of 1\/2, to the nearest integer?\nAnswer: 17107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5232343.\nAnswer: 2237, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 + 39. Suppose -g - 104 = -3*t. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 37. Let p = -483 - -488. Solve 0 = p*a + 2*c + 8, -3*a - 5 = -x*c + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5, -171, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*l**3 + 66374*l**2 - 1060139*l wrt l?\nAnswer: -36*l + 132748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 141241655393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*p - 8 = -52 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/421130076 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k - 7. Let o(j) = 4*j + 8. Let x be (-2 - (-10)\/8)*-8. Let p(s) = x*v(s) + 5*o(s). Let u(m) = 4*m - 3. What is 5*p(h) - 3*u(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13 - 12)*1*42. Let r be 18\/(-4)*(6 - 259\/m). Which is the second biggest value?  (a) 0.2  (b) r  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4151246269.\nAnswer: 17, 41, 5955877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*n + 118611, -n + 41218 + 47764 = 3*s. Suppose -o + s = -b, 54*o - 5*b - 118632 = 50*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 608 + 71 = -97*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from {e: 7, y: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201 - -1011?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 23*n**2 + 30*n - 49. Let k = -121 + 101. Does 29 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90 - 30. Calculate the lowest common multiple of ((-48)\/x)\/((-2)\/15) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*m + 5*m + 10*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/((-12)\/42 - (-27)\/21). Solve -4*t - 16 = -7*t - q*h, -t - h = -7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-16 + 12 + (0 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4 - 23*r - 17*r + 37*r. Let u be (5 + (-6 - -3))*(-15)\/(-5). Let m(x) = -6*x + 9. Determine u*m(w) - 13*v(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -111321223?\nAnswer: 111321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**3 - 156*r**2 + 324*r - 164.\nAnswer: -4*(r - 1)**2*(r + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = 17*x - 11137. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 6:45 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 6:27 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-40)*52 - 4 - 4. Solve 153*z - 152*z - 10 = -u*j, 3*z - 5*j = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.874 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*s - 3*s + 2*s)*(-6 + 2 + 2)*(9 - 2 - 27) to the form b*s + c and give b.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + (sqrt(209)*1 - sqrt(209))*-3))\/sqrt(11) + 1 + (sqrt(304) - -2*sqrt(304)).\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -1110302112?\nAnswer: -1110302102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-108)\/(-5 + -7) + (0 - 5). Suppose b*t + w + 0*w = 131, 23 = t - 3*w. Which is smaller: t or 159\/5?\nAnswer: 159\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-68)\/(-6))\/(1\/(-12)). Suppose 2*q - 15 - 7 = -4*s, -4*s = 3*q - 25. What are the prime factors of (q - 0)\/((-12)\/i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8131, -8102, -8099, -8134, -8219, -8366?\nAnswer: -8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -7\/5, -252?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 7*b + 8. Let s be h(-7). Calculate the remainder when 97 is divided by (-4)\/s*(-100)\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1999 by 52992.\nAnswer: 1999\/52992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {l: 4, s: 6, k: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 143, 268, 441?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 44*w**3 + 2*w**2 + 26*w**3 + 2*w + 0*w - 4*w + 1. Let p be l(1). Suppose 5*v + 2*n = p, 0*v = 5*v - 2*n - 79. Solve -4*t = -t + v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -67, -93, -141, -223, -351, -537, -793, -1131?\n\"Answer: -2*l**3 + l**2 - 15*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o*o**(-2\/7)*o)*o**(-5\/3)*(o*o**(4\/7))\/o**(-6) assuming o is positive.\nAnswer: o**(109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5*l + 5 = 3*g, -5*l = 4*g + 5. Let c(j) = j**2 - j + 53. Is c(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25576994.\nAnswer: 2, 12788497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 4*b**2 + 17*b - 16. Let n(r) = 3*r**2 + 16*r - 15. Let t(a) = -5*n(a) + 4*w(a). Let j be t(11). What is the nearest to j in 4, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of (5992\/224 - (-3)\/(-24)*2)*70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-113*d + 336*d - 124*d)*(2 - 2 - 3*d) to m*d + u + g*d**2 and give g.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 8 + 0 + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 2 - (20 - 31) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21508089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2935617 is divided by 587111.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*x**3 - 34*x**3 + 107*x**3.\nAnswer: 133*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2417027 + -0.2503.\nAnswer: 2417026.7497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72096162 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 3, -1700, -20, 5 in increasing order.\nAnswer: -1700, -20, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2209027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v. Let t(j) = -15*j**2. Give t(z(k)).\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y**4 + 3*y**4 - 3*y**4)*(-6 - 9 + 23).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 408, 498, 580, 654, 720, 778?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -c**6\/24 + c**4\/8 - c**2\/8 - 27. Find r such that o(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0929 and -4.\nAnswer: -4.0929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.05 + -2.75. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 9:25 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3 - 1235*f**2 + 390400*f - 5581500.\nAnswer: (f - 610)**2*(f - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 9, -1, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 12 = 136. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9523?\nAnswer: 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001313283385 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*k - 66*k = -129*k + 4300 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 5:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 8:34 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41 + 5. Suppose 0 = -2*i - 2*p + q, -4*p - 10 + 2 = 0. What is the common denominator of i and -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 13) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1725115207.\nAnswer: 23, 75005009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000010001010010 + -11?\nAnswer: -11000010001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -131*v + 402*v - 137*v - 126*v + 102*v**2 - 366*v**2.\nAnswer: -264*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-504)\/(-30) - 15 - (-2)\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 292*h**2 + 92*h**3 - 61*h**3 - 2*h - 37*h**3 to the form g*h**3 + q + l*h**2 + b*h and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 200 (base 11) to base 8\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.719 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 180*j + 865. What is o(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 5311310.\nAnswer: 37179170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*u - 245*u = -176. Which is the third biggest value?  (a) u  (b) 2\/19  (c) 6  (d) 1\/8  (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -788, 0, -761 in ascending order.\nAnswer: -788, -761, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4071*l + 4 - 3734*l - 3815*l - 4.\nAnswer: -11620*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -f**6\/120 - 11*f**5\/20 + 107*f**4\/24 - 6*f**3 + 92*f**2. Let y be s(-36). Let g = -4 - -8. Solve 20 = g*m - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k + 12. Let n be m(10). Suppose 5*s - 4*w + 24 = 6, n*s = -w - 15. What is s rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -27  (c) 0.1  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o**3 + 2*o**2. Let j = 4 - 3. Let k(a) = -a**3 - a**2 + a - 1. Suppose 0 = -q + 2 - 0. Give j*s(n) + q*k(n).\nAnswer: 2*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**4\/4 + 2*z**3 - 5*z**2 - 3*z - 2. Let u be x(-7). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 c, and 2 n when four letters picked without replacement from cnaccadcancnnynaa?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 2*f + 1. Let j be q(2). Suppose j*b - 25 = -5, -61 = 5*a + b. Let o = a - -22. Calculate the highest common divisor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 214 - 214 + 90*k**3 + k**3 + 0*k**3 + 2*k**3 + k**3 + 4*k**3 - 4*k**3 + (-k + 4*k - k)*(k**2 + k**2 + 0*k**2) + 2*k**3 - 1 + 1.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36117 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)*2 - (-2 + sqrt(1100) - sqrt(1100)) - (-3 + 0 + sqrt(396))*-2)**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (-2 - 1) - 2. Let k(j) = 2*j**4 + 5*j**3 - 6*j - 5. Let d(f) = f**3 - f - 1. Let o(p) = n*k(p) + 5*d(p). Find the second derivative of o(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b + 3. Give c(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(343)\/sqrt(112))\/(sqrt(28)\/sqrt(4)*-6) + 3)*-6)**2.\nAnswer: -225*sqrt(7) + 129775\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-4))**(1\/16)*g\/g**(-1)*g**(6\/5) assuming g is positive.\nAnswer: g**(281\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggm when three letters picked without replacement from mmmmmmmmmmgmmmmmmmmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 597\/9 + 2\/(-6). Suppose 0 = -5*n + c + d, 93 = 5*n - 3*c + 25. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -3 + 0*h + 2*h + 1 - h**2. Let n be ((-34)\/(-238))\/((-39)\/42 - -1). Let o(c) = c**2 - 5*c + 5. What is n*o(s) + 5*t(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14201 is divided by 1291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33330 (base 7) to base 6.\nAnswer: -102520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 - 16*x + 313. Let n = -40538 + 40511. Give s(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20244654?\nAnswer: 2, 3, 17, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1\/4, 296647\/2 in increasing order.\nAnswer: -1, 1\/4, 296647\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37 - -49) + (1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3\/8, -12, -54\/91, -36?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 366562544 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.03 - -0.03. Let p = 0.1 + -0.3. Let m = p + 0.2. Which is the second biggest value?  (a) -3\/5  (b) m  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2097\/(-8854))\/((-5)\/((-160)\/12)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - d + 3)*(d + 11*d + 0*d) - 11 + 2*d**2 - 7 + 13 to m + i*d + a*d**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206829699 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 877 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + u + 6 = 3*s, -2 = s - u. Let w = s + -1. Let y = w - 0. What is the greatest common divisor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(400)*1)\/(1*sqrt(128)*4))**2.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 484141 is divided by 15129?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7.4 and 88111.\nAnswer: 652021.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*sqrt(66) - (sqrt(66) - (sqrt(66)*-1 - sqrt(66)))*5)\/(4*sqrt(864)*-2))**2.\nAnswer: 539\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -1249*t - 3750. Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {l: 3, t: 2, m: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 149*i - 9410. Calculate v(-48).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -12.9. Let n = 0.8 - 0.3. Which is the nearest to r?  (a) n  (b) 2\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40320 divided by -5760\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i + 7*i - 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, a: 3, x: 2, z: 2, j: 3, g: 4}. Give prob of sequence ta.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(-1 - -2)\/(-1). Let x(l) be the second derivative of i*l**3 + 0*l**2 + 0 + 2*l + 1\/30*l**4. Factor x(j).\nAnswer: 2*j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*y**3 - 106*y**3 + 211*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**4\/8 - 611*m**3\/4 + 372097*m**2\/8 + 93483*m + 46818.\nAnswer: (m - 612)**2*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-3)\/10 - 106182\/60)*38\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.44 in 65688, -5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4\/9 - 8*m**3\/9 + 14*m**2\/3 - 8*m\/9 - 56\/9 = 0. Calculate m.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 6 - 2)*(-4*o**2 - 4*o**4 + 4*o**2)*(2 - 3 + 2 + (6 - 3 - 2)*(2 + 1 - 1)) to a*o + r + h*o**4 + b*o**2 + d*o**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -629*n*v**3*z + n*v*z - n - 65*v**4*z - 3*v**4 + 521*v**2*z + 92*z wrt v?\nAnswer: -3774*n*z - 1560*v*z - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68 in 2\/25, -0.9, -5, -0.2, -0.4, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 3*v + 6. Let l be s(-6). Let j be (8\/l)\/((-2)\/9). Suppose -z + j = 3*q + 1, 2*q - 2*z - 4 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 3*q**2 - q**2)*(1 + 1 - 3) + q**2 + 2*q**2 + 0*q**2 + (9*q - 10*q + 7*q)*(4*q + q - 2*q).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 779*g - 184 = -18717 + 5315 - 12489 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**(-34)\/(y**(-1))**15)\/((y**(-2\/15)\/y*y*y\/(y\/y**(-3\/8))*y*y)\/(((y*y*y\/(((y\/y**0)\/y)\/y*y))\/y)\/(y\/(y\/y**(-6))))) assuming y is positive.\nAnswer: y**(2581\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(89462\/6 - 4\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2031 - -52?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 + 325.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6310, 13220, 20130, 27040, 33950, 40860?\n\"Answer: 6910*j - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k**3 - 23*k - 15*k**3 + 23*k.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 7:18 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 232 + -227. Calculate the lowest common multiple of 13 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -872 + 877. Suppose -5*y + 205 = 5*h, -88 = 3*h - p*h - 4*y. Calculate the remainder when 159 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10147 - -30443\/3. Let g(n) be the second derivative of 7\/3*n**2 + 0 + p*n**3 - 1\/18*n**4 - 25*n. Determine x, given that g(x) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -13. Suppose -3*o + 5 - 2 = 0. Put o, 5\/4, r in descending order.\nAnswer: r, 5\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 61040, 61009, 60966, 60905, 60820, 60705, 60554, 60361?\n\"Answer: -o**3 - 24*o + 61065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -y - 16, 3*l + 4 = 4*l - y. Suppose l = u + u. Suppose -u*t + 14 = 2. Sort -1, -5, t in increasing order.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - w. Let t be 21\/(-15) + (-6)\/(-15). Let l be n(t). Suppose l = 4*p, -3*y = 2*p + 3*p - 15. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 387727, 387900, 388073?\nAnswer: 388246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvkdkvdkgvkdgkgkd. What is prob of sequence kgvg?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.32 - 2.7. Let i = 4.33 - w. Let l = i + -0.89. Round l to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2110 (base 11) to base 10.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2503 is divided by 601?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 861 (base 11) to base 10.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 8:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1637*v**2\/4 - 2499*v\/2.\nAnswer: v*(1637*v - 4998)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 5:46 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 191 + 40?\nAnswer: 1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24)\/(-16) + 187\/(-126). Let x = -2\/16119 - 78790\/112833. Let a = x - n. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -155734 - -254?\nAnswer: -155460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -74 - -0.3\nAnswer: -73.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 0.2, -4, -1\/7, -5, -0.098?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39.2 + 59.16. Let v = 0.04 + k. Let m = 17 - v. What is the nearest to -0.1 in m, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = -33*k + 248 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, 4, -5 in descending order.\nAnswer: 73, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002653513 to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 3:40 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 104302304513 + -4?\nAnswer: 104302304505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 47239 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24.1 + 24.5. What is the second smallest value in 1, i, -4, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 459\/(-34))*((7 - 3) + 0 - -2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1505178 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*u - 15. Suppose -2*y - 25 = 2*v + y, 4*v + u*y + 35 = 0. Is v + 2 + 0 - -75 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z = 8*z + 4*j + 24, 4*z + j - 28 = 0. Solve -z*k - 28 = -36 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/10530 and 29\/156.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3, 6, 11, 18?\n\"Answer: m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 107536104*l**2 - 2699729*l wrt l?\nAnswer: 215072208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 8:48 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -8*s. Suppose 5*p + 9*d + 69 = 12*d, 27 = -3*p - 3*d. Let m(g) = -g. Determine p*m(z) + w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (-3 - (0 + -3)). Suppose 0 = 4*b + 8, 0*k - k - b - 1 = 0. Let x(w) = -5 + w**2 + 3*w**2 + i*w**2 + w**3 + k. What is x(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 7 = 2*n. Let f = 16 - n. What is the remainder when 34 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 45*q + 37. Let i be u(-13). Are i and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5 - 1 - 2 - o + 4 + o**2 + o**3. Let r be n(0). Let a = 4.3 + -4. What is the third biggest value in a, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 592.097 millilitres?\nAnswer: 0.592097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.97 + 1. Let q = 0.07 + h. What is the closest to q in 5, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n**2)\/(n\/n**(2\/3)))\/(n**0\/n)**(-1\/13))**(14\/5) assuming n is positive.\nAnswer: n**(392\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*p + 14 = -27*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (26480\/1986)\/((-24)\/(-9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 7*z + 15 = 0. Let h be -1 + z - (20 - 12). Suppose -n + 2*b - 14 = -2*b, -n - 10 = -2*b. Is h at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -6. Suppose 5*r - l + 15 = 2*l, 5*l - 25 = -r. Suppose 4*y - 5 - 7 = r. Solve -o*z + y + 1 = 2*c, 0 = -2*c + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41542465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183289 is divided by 22893?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = z, 5*n + 16 = -0*z - 2*z. Let t(h) = h**2 - 21*h + 21. Let l be t(20). Put n, -7, l in descending order.\nAnswer: l, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-15)\/u)**(2\/15)\/(u**(4\/5)\/u*u*u*u*(u*u**(-4\/3)*u)\/u))**24 assuming u is positive.\nAnswer: u**(-552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78 * 1966.\nAnswer: 153348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 4\/5, 1547, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w. Let l(i) = -6*i + 59. What is f(l(u))?\nAnswer: 6*u - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (418 - 21) + 2\/((-2)\/5). Let l = s - 390. Solve l*d - 4 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -6*d**2 - 3*d - 1. Let w = -138 + 142. Let h(q) be the first derivative of -w - 11\/3*q**3 - q - 5\/2*q**2. Determine -3*h(b) + 5*z(b).\nAnswer: 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 11*p = -8. Find the common denominator of 53\/p*4\/22 and 67\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, j: 1, b: 2, v: 2, p: 1}. Give prob of sequence kj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22363384 to the nearest integer?\nAnswer: 4729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -2.1, -7, 1, 0, -0.2 in descending order.\nAnswer: 1, 0, -0.2, -4\/7, -2.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(2448) - (sqrt(2448) + 1)**2) + sqrt(119)\/((sqrt(252)\/sqrt(6))\/sqrt(6)))*6.\nAnswer: -14700 - 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 2*g**2 - 7 + 4 - 4*g**2 + 17. Let c(a) = -a. What is m(c(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3915557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**3\/3 - 54*f**2 + 1120*f - 3200\/3 = 0.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 36179509037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b**2 - b + 3. Suppose -124 = -10*s + 6*s. Suppose -29*k - 6 = -s*k. Let h(t) = 5*t**2 + 2*t - 4. What is k*h(q) + 4*m(q)?\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 7*d**2 - 7*d - 8. Let t be r(-6). Let o be 2\/(-4)*t - -3. Suppose 4*j + 179 = 5*c, 9*c - 172 = o*c - 3*j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -354 or -0.1?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 4:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b - 80. Let h(f) = -6*f - 157. Calculate -9*g(q) + 4*h(q).\nAnswer: 3*q + 92","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 112*g. Let y(i) = 10*i. What is f(y(q))?\nAnswer: 1120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19081185 and 7632474?\nAnswer: 38162370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10ac5 + 7?\nAnswer: -10abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 9*g**2 + 4*g + 2. Is 39 a factor of b(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -155*b**3 + 1552*b**2 - 13*b - 54. Give u(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24374649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 358291952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4061474 from -0.2378702.\nAnswer: -0.6440176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1516244 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -3.2. Let j = -1.1 + y. Let m be (-6 + 8\/4)\/(-6). Which is the closest to 0?  (a) -0.2  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-136))\/((-196)\/34 + 5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/318 and -55\/48.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34826167 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) -3  (c) 0  (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (1 - -3) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 949 (base 12) to base 6\nAnswer: 10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -12*l + 10. Let r be s(-4). Suppose 55*m + 273 = r*m. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101111111001111 + -10001?\nAnswer: -101111111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0026593164 to five dps.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 273976730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**2. Let f(s) = -4752*s**2. What is o(f(d))?\nAnswer: 45163008*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**2*a*a\/(a\/a**(2\/5)*a)*a**13\/(a**(-6\/5)\/a) assuming a is positive.\nAnswer: a**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 5*q + 5, 0 = -5*t - 9*q + 13*q - 4. Let w = -0.01 + -2.99. Let h = w + 4.4. Do t and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 3*f**4\/8 - 23*f**3\/6 + f**2. Suppose 18*m - 126 = 18. List the prime factors of t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1160*o + 820*o + 1182*o - 571*o to the form b*o + h and give b.\nAnswer: 2591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 992433 - 992433 + 875*j.\nAnswer: 875*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 356*l - 63. Let a be x(18). Suppose 7*t = 64082 + a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 2*m + 1, -m - 2*m - 11 = -5*x. Let u be ((-3)\/(-12) - (-4017)\/12) + x. Suppose 0 = -h + 813 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 7065 and 35323\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -27?  (a) 2\/11  (b) -2\/11  (c) -0.23105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssjzssssjkssssi. Give prob of sequence zkj.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hsjchjjsshjhsscscc. What is prob of sequence ss?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00381 to 4 dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 101366439227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 8:16 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -350928016 divided by -571544?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/11304 and 127\/108.\nAnswer: 33912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 3070\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 2\/9  (c) 3\/161  (d) 102  (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 1 = 3. Suppose 9*j - 4*j - 19 = 2*b, -5*j + 13 = -l*b. Suppose -3*f + 30 = 3*f. Solve k + 1 = -3*n, 0 = f*k - 3*n + j + 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7103?\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*k - 8. Suppose -4*l + 21 = -2*h + k*h, -2*h = -3*l + 13. Put l, -3, 0 in decreasing order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*n**2 + n**2 - 4*n**2)*(23 - 9 - 212)*(-3*n**3 + 0*n + 0*n) + 4*n**5 - 2*n**5 - 3*n**5 + (6*n + 3*n - 2*n)*(n**4 + 0*n**4 + 0*n**4).\nAnswer: 2976*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 14606 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 721397\/33 + -21871. Let z = n - -47\/44. Calculate the common denominator of (2*-1)\/40*-46 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*i + 2 - 2)*(2*i + 2 - 2)*(1 + 1 - 4)*(6*i - 6*i - 3*i) to g*i**2 + w + b*i + a*i**3 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 41*p - 2. Let s be d(-2). Let t be (10\/4)\/((-2)\/s). What is the highest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2515 + -6427?\nAnswer: -10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -133.\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21118 is divided by 681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 278404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (7 + -9)) + -4 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -877*l + 3*b = -877*l + 279, 0 = 6*l + 2*b + b - 255 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 1 - 3)*(3*z**2 - z**3 - 3*z**2) + z**3 + 4*z**3 - z**3)*(-3 - 2 + 4).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - 0. Let g = 7313 - 65815\/9. What is the nearest to 0 in a, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91852 is divided by 726.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7508321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3c (base 13) to base 12\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*c**2 + 2*c**2 + c**2)*(-1029509*c + 4 + 1031155*c - 3).\nAnswer: 1646*c**3 + c**2 + 3292*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -6  (b) -4  (c) -198526  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j**2 - 5. Let p(b) = 6*b**2 - 4. What is 5*p(k) - 4*t(k)?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 284 + -281. Let p(l) be the third derivative of 0*l**5 - 3*l**2 - 1\/120*l**6 + 0*l**4 + 0*l + 0*l**k + 0. Factor p(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, x: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 + 12*w + 15. Let r be m(-11). Suppose 0*h + 3*d = h - 7, 0 = -r*h + 5*d + 35. List the prime factors of (h - 2)*(-4)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 9\/2, 0.5, 24, -1\/3, 370?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + 2. Let u = 2 - 2. Suppose -2*x + 0*x + 8 = u. Solve -4*q - x*z = w, 25 = -5*q - 2*z + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 15*c**3 + 2*c**2 - 8*c**2 - 9*c**2. Let d(r) = 7*r**3 - 7*r**2. Give 13*d(t) - 6*u(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 2 + 50 = 0. Let m be (-1)\/l - 2508\/72. Let u = m - -122. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 289408038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 + -1 - (-157 - -239 - 172)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -3 + (-3744)\/(-6 - -3) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 440917*j. Let m(n) = -3*n. Give m(t(q)).\nAnswer: -1322751*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 4*d**2 - 5*d + 4. Suppose 4*z = -3*u, -u = u - z + 11. Let m = 5 + u. Suppose 4*h - 11 = m. Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(176) - (-3 + -1 + sqrt(176))) + 4*(sqrt(176)*1 + sqrt(176))))**2.\nAnswer: 1024*sqrt(11) + 45120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-12))\/(1*11\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 39*o + 3 - 3 - 38*o. Let w(n) = -46*n**2 + 2. Calculate w(p(j)).\nAnswer: -46*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 106\/948455 or -1?\nAnswer: 106\/948455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 40575985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 239 = -236, -5*p = -4*q - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -102308.57527 - 1.42473. Let l = f + 102309.810003. Let s = l - -0.19. Round s to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 14 = -2. Let u = 9.23 - 8.83. What is the smallest value in 12\/11, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**5\/7 + 90*d**4\/7 + 892*d**3\/7 - 2112*d**2\/7 - 1728*d = 0. Calculate d.\nAnswer: -28, -18, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 1202\/1543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -162235496668.5 minus -2?\nAnswer: -162235496666.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/325 and -57\/325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -498.1355 rounded to one dp?\nAnswer: -498.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -52 - (-140 - (-82 - -54)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/25)\/(6\/(-10))*-21. Let i(j) = -5069*j**2 + 5069*j**2 - 4*j**3 - 7 + 13*j. Let a(c) = -c**3 + 4*c - 2. Determine o*a(b) - 2*i(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3755 and 208027.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -4*c + 72, -3*o + 4*c = 3260 - 3189 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*l + 132 - 32*l - 38*l - 132 + 41*l**2.\nAnswer: 41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53.5 - 3374.81.\nAnswer: -3321.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4484 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 280 - 260. Let d = -2 - -3. Let v = d - -4. Solve z = v*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 3:01 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + 23. Let b be 178\/x - 9\/15. Determine f, given that -b + 6*f**3 - 8\/3*f + 20*f**2 - 18*f**4 = 0.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 143, 169, 195, 221, 247?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 15*l**2 + 11*l + 239. Determine h(-8).\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 9*u**2 - 9*u + 1. Let n be t(10). Suppose -2*g - g - 4*x + 31 = 0, 0 = -g + 4*x - n. Calculate 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 27470 (base 8) in base 4?\nAnswer: 2330320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51139.18l to millilitres.\nAnswer: 51139180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11072594 plus 284868?\nAnswer: -10787726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 25 = 47. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 103 + -111. Let n be (-6)\/(12\/c - 0). Let y = n + 12. What is the lowest common multiple of 6 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.132 - 7.432. Let g = -145213280.2999821 + 145213273. Let c = d - g. What is c rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 2*i**2 + 4*i + 1. Let a be r(3). Let q(x) = -2*x**2 + 4*x - a*x. Let w(t) = 8*t. Calculate q(w(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - 6*z + 4. Give i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/5  (b) -2\/39  (c) 2  (d) -4  (e) -12\/5  (f) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43385970?\nAnswer: 2, 3, 5, 71, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1410 - -1 - ((-322)\/23 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -1) + (13 + -3 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -j - o, 0*o = j + 2*o - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/2 - (-558)\/27. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-10)*(-43)\/(6794\/3555)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 19*n + 31. Let w = -118 - -135. Let s be q(w). Let o = s + -14. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -75*h + 38*h**2 + 38*h - 2 + 36*h - 25*h**2. Let n(j) = 26*j**2 - j - 3. What is -3*n(l) + 5*u(l)?\nAnswer: -13*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4549 - 2829. What are the prime factors of f?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-2)*6\/4. Let g(c) = -c**3 - 5*c**2 + c + 19. What are the prime factors of g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -123*v**5\/5 + v**4\/4 - 3*v**3 + v**2 - 1928*v - 3206. Find the second derivative of n(q) wrt q.\nAnswer: -1476*q**2 + 6*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 499534573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 22*s + 163. Give j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7380*v + 294937 + 103583 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from {o: 1, z: 9, n: 4, e: 1, y: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2458752 and 59312?\nAnswer: 27046272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x**(-6)*x*x)\/x)\/x*x*x)\/((x**(4\/17)*x)\/x*x)*(x**(-5\/2))**21 assuming x is positive.\nAnswer: x**(-1895\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/2573440?\nAnswer: -1\/2573440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u + 0*u + 2*u)*(-115*u + 45 - 82 + 37).\nAnswer: -690*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**4 - 3*a**4 + 2*a**4 - 3*a**4 + 0*a**4 + 0*a**4 + (3*a - 3*a - 2*a**3)*(0 + 0 - a) - 4*a**4 + 3*a**4 + 3*a**4.\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20528, 20529, 20530, 20531, 20532, 20533?\nAnswer: 20534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3.6*-1.6\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*b + 1533 = -83*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 115291.5 and 3323?\nAnswer: 111968.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120.65874*-1.\nAnswer: 120.65874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1566 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 39\/19, 2, 11625, -0.04?\nAnswer: 39\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + (-1159)\/(-578))\/6. Let v = 507\/1445 - y. Let r = -1\/20 - v. What is the second smallest value in r, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 166860 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/15)\/(14\/(-35)). Suppose 3*g = -s - 2, 3*s - 6*s - 4*g = -14. Put t, -2, s in decreasing order.\nAnswer: s, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 9*p**2 + 8*p + 22. Let k be c(10). Suppose -7*q = -k*q - 415. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(((-8)\/12)\/(-2)). Let y be (2 - 5)\/(5\/((-15)\/t)). Suppose 0 = y*b - 10*b + 168. Calculate the remainder when 43 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130992631 is divided by 10233?\nAnswer: 10231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 2225.\nAnswer: 1\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -11727*s. Let n(b) = 187*b. Calculate w(n(l)).\nAnswer: -2192949*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - (-17 + 1)) + -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2 - 15 + 13 + u**2 - 8*u. Let t be v(9). Solve -t*p - 25 = 4*y, 3*p + 2*p = -3*y - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(65)\/(-2*sqrt(5))*3 - ((sqrt(143)*1 + sqrt(143))*6 + sqrt(143))\/sqrt(11))*4*3.\nAnswer: 870*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from sgsgci.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 3*h + 2. Let m be (0*2\/6)\/(1\/h). Let f be -2*(-15)\/(-6) - -8. Solve m = 2*y + 5*i - f, -5*y + 9 + 6 = 5*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 3*n + 4. Let p be x(-2). Let v(t) = -73 + 73 - 2*t**p. Let b(i) be the second derivative of -4*i**3\/3 + 2*i. Calculate v(b(d)).\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**2 - 4*y - 5. Suppose 0 = -5*j + 5*g + 30, -j = -3*j + g + 8. Let d(x) = -x - 1. Give j*d(c) - s(c).\nAnswer: -2*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -4*h - 5*s + 32, -5*h + 8 = -3*s. Sort -0.06, 1, 0.2, h in descending order.\nAnswer: h, 1, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/56)\/(1368\/(-16416))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 27 + -11 + -12 + (2 - 7) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**29\/g**(7\/3)*g*g*g*g**(-14\/5)*g*g**(-8\/3)*g assuming g is positive.\nAnswer: g**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 198286428 + 2\nAnswer: 198286430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193329063?\nAnswer: 3, 41, 523927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.835 - -8.835. Let g = 7\/12 - 41\/4. Put b, g, 3\/5 in descending order.\nAnswer: 3\/5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2844798256 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 756 and 107054451?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 10 + 2 + a + 2. Let b be z(-6). Suppose -2*x + 0*x = 5*h - 4, h - x - 5 = 0. Solve -b + h = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r**3 + r**2 + 2*r. Let d be (-5)\/(-20) + 2\/(-8). Let i(c) = c**2 + c. Let p be i(d). Suppose p = b + b - 4. What is x(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20*(34\/10 + 1). Let p be ((-35)\/(2800\/(-512)))\/(6\/(-10) - -1). What is the highest common divisor of s and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*(9 + (-131 - -8)). What is the highest common factor of k and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 5:08 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/12*3\/1. Let x be (35005 - j)*(-15)\/(-9). Suppose 32458340 - x = -3*i. Round i to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8765)\/7012 - -5*(-93)\/(-84).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2*-10)\/((-2)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) 12.6  (c) 0.3  (d) 5  (e) 0.5  (f) 1\/572\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 11*c**7\/35 - 11*c**4\/12 + 155*c**3\/6 + 68*c**2. Let j(m) be the first derivative of b(m). Differentiate j(x) wrt x.\nAnswer: 792*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3684.5259 rounded to the nearest ten?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3282400 and 3300?\nAnswer: 9847200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 138271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 129993 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40870 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 + b + 1. Let w(q) = q**2 + 5*q - 4. Let j be w(-6). Let n(d) = -2*d**2 + 2*d + 1. Let s be n(j). Determine z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 46, -0.4, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 10 = 26. Let n = 27 - m. Suppose 293*w = 855*w - 2942 - 3802. Calculate the greatest common factor of w and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390240141 to the power of 1\/2, to the nearest integer?\nAnswer: 19754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -299*w**2 + 91*w + 91. Let r(s) = 10*s**2 - 3*s - 3. What is -91*r(p) - 3*t(p)?\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cpcp when four letters picked without replacement from {c: 4, p: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1002  (b) -0.4  (c) -38  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -73894495.5 times -4?\nAnswer: 295577982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 3*q + 22 = -2, 2*q = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/4 - 9*h**2\/4 + 13*h\/2 - 6.\nAnswer: (h - 4)*(h - 3)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 38 and 20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = o + 6. Suppose -3*k + o = -12. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1. Let i = 4 + o. What is the nearest to 2 in -2\/13, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y - 31 - 5. Suppose -2*n - y = 0, -14*n = 3*b - 17*n - 342. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 15, 34, 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 90\/(-14) - 11\/((-539)\/(-28)). Let v(z) = -2*z**3 - 12*z**2 + 12*z - 11. Let u be v(t). Solve l + u = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vmpppiymipi. What is prob of sequence iv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4590\/(-204))\/((270\/4)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/3, 0.8, -2, 907, -0.3, -6?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 4*g + 10. Let h(w) be the second derivative of -w**2\/2 + 19*w. Let x(m) = -10*h(m) - o(m). Let s(n) = -n**2. What is x(s(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 25 + -2 + (-22 - 2 - -12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10476 and 1794312.\nAnswer: 174048264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-18)\/81 + 3*(-20)\/(-27). Let f = 23.6 - 24. Which is the third smallest value?  (a) s  (b) 4  (c) 3\/5  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -9*x**2 - 490*x - 566. Let w(c) = -2*c**2 - c - 16. Let n(v) = -o(v) + 5*w(v). Solve n(p) = 0 for p.\nAnswer: -1, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1501 = p - d, 9*p - 4*p + 2*d = 7519. What are the prime factors of p?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3817.91669 to one decimal place.\nAnswer: -3817.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 2, c: 4, s: 2, g: 2, d: 2, m: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 163 = 4*q, q + 143 = -3*p + 7*p. Let j = p + -238. Let v = j - -450. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -3 + -3 + sqrt(98)*2 + sqrt(98) + -1*(-2 + sqrt(98))**2 + (sqrt(98)*3*-3)**2)*-1.\nAnswer: -7828 - 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 125 + -126. Sort -5, -4, 5, i in decreasing order.\nAnswer: 5, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 9 = 25. Let m(f) = -5*f**3 + f. Let h(k) = 4*k**3 - k. Calculate w*h(s) - 3*m(s).\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 9:11 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 11) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24962 + 105746 = 1188*x for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5\/9, 0.4, 23981, 7, -2\/17, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 49*o**4 - 3355870*o**3 + 308808537*o**2 - 349636696*o + 99583120 = 0.\nAnswer: 4\/7, 91, 68395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-69)\/23*(7\/(-3) + 2). Suppose 0 = 8*n + 17 - x. Let c = 2 - -1. Put n, c, -1 in descending order.\nAnswer: c, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1968 = 4*d, -d = 6*r + 2049 - 7992. Calculate the greatest common factor of 1386 and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 AM and 10:29 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (110\/4)\/(230\/(-184))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 103445412 and 17262.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**4\/12 + n**3 + n**2 + n. Let i be v(6). Solve 7*w + 25 = i*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 9:26 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 16173, 0, -1\/5, 5, 3, 0.5 in descending order.\nAnswer: 16173, 5, 3, 0.5, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 - 3*a**4 + 6*a**4 + (-1 - 13*a + 12*a + 2)*(-2*a**3 - 4*a**3 + 2*a**3).\nAnswer: 7*a**4 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -188 - -582187?\nAnswer: 581888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1\/(-2)*31\/(-93).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 3*o + 6*j - 2*j, -5*o + 4*j + 32 = 0. Suppose 12 = p + 2*i + i, -p - o = -2*i. Let s = 5 + p. Solve 0 = -s*h + 25, -2*r - 26 = -5*r - 4*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 38a?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(2\/(-10)*1). Calculate the smallest common multiple of 2 and 2\/(-2)*(-1 + f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -319 less than -18206?\nAnswer: -17887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8928, 8943, 8970, 9009, 9060, 9123?\nAnswer: 9198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 128, 130, 130, 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 PM and 10:59 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -6 + (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/28665 and 163\/210.\nAnswer: 57330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -121 + 171. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r = -17*r - 40. Let f be (-76)\/(-6) - 6\/9. Suppose 0 = -4*b - f, -4*x + 4*b + b = -215. Calculate the greatest common divisor of x and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1553896 millilitres to litres.\nAnswer: 0.0001553896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2844 and 56154780.\nAnswer: 56154780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**3 - 8*q**2 + 437*q - 2150. Determine a(5).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, z: 6, w: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 203 = -512. Suppose 0 = u - 5*u + 5*n + 103, -3*u - 5*n = -51. Calculate the remainder when m is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 331 (base 10) to base 13.\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)*c)\/(c\/c**(-7\/6))*(c\/(c*(c\/(c*c\/(c*c*c**(2\/19))))\/c*c))\/(c\/(c*c\/(c*c\/c**(4\/9)*c*c)*c)) assuming c is positive.\nAnswer: c**(-1651\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -4*v**2 + v - 2. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9780441.6 rounded to the nearest one thousand?\nAnswer: 9780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/82908 and 59\/392.\nAnswer: 165816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -8 + 4. Let d be c\/8 + 52\/16. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3888 is divided by 554?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/(-66) + 1575\/(-11). Let i = 2869\/20 + t. Let y = 2781\/574 - 20\/41. What is the common denominator of i and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 1. Let n(x) = 2*x**2 + 3. What is -n(h) + 3*r(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6868198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007868 rounded to seven dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 1. Let u(l) = 6*l + 5. Let k(f) = 5*b(f) - u(f). Let h(a) = -2*a. Let w be ((-2)\/(-1))\/1 - -9. Determine w*h(j) - 4*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/13?  (a) 2\/11  (b) 1\/3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4255 - -4126.5. What is j rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -5, 13, -8.\nAnswer: -8, -5, 2\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/3, -5, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 63, 54, 41, 24, 3, -22?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/p**26*p*p)\/p)\/p)\/p*p\/p**(-1\/31) assuming p is positive.\nAnswer: p**(-743\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 9 = -6. Let n(m) = m - 6. Let u be n(d). Let w be (1 - (7 + u))*-1. What is the second biggest value in w, -12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.719 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*h - 495479, 14 = -793*h + 795*h. What is p rounded to the nearest one thousand?\nAnswer: -496000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 83, 12, 2, -1, 3, 4 in ascending order.\nAnswer: -1, 2, 3, 4, 12, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*m - 17. Let k(p) = 2*p - 3. Let s = 11 + -7. Let l be k(s). Solve 0 = -3*f - m, -l*f - 15 = a - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/7)\/a)\/(a\/(a*a**(-7)))*(a\/(a**3\/a))\/(a*a**5\/a)*(a*(a*a**(-2\/7)*a*a)\/a*a*a)**(13\/4)\/(a**(1\/7)*a\/a**(2\/3)) assuming a is positive.\nAnswer: a**(95\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**4 - 2*x + 2*x)*(1 - 1 - x) + x**4 + x**5 - x**4 + x**5 - x**5 - 5*x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 5, -1, 4496, -2 in decreasing order.\nAnswer: 4496, 5, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 3*z + 9. Let b be h(-4). Suppose -b*c + 3768 = -c. Is ((-5)\/15)\/((-2)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, y: 1, o: 1, s: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-10) + 6\/15. Suppose 0 = f + m*f + 12. Let v be f\/1*8\/(-16). Solve 3*t - 3 = v*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = -c - 124. Let k be ((-3)\/6)\/(2\/12). Let j be -2*(k - 10\/(-4)). Solve v + c = -j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 - 3 + 3*p**2 - 4*p**2 - p**3 - 2*p. Let b be u(-3). What are the prime factors of 3 - (3\/b - 24)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 241, 9, -1, -0.03, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 101204 - 44465. List the prime factors of y.\nAnswer: 3, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 218 (base 9) to base 8.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 130\/6 - 168\/(-126). Solve -5*m = -4*x - 37, -7 = -x + 21*m - c*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 803\/(-4)*(176\/16 - 7). Let p(o) = -o**3 + 4*o**2 + 4*o + 7. Let k be p(5). Let v be c\/(-33) - k\/6. Solve -2*n - 4*y + v = 0, -5*n = -3*n - 2*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 668903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*2*7\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/6 and 143\/1099458?\nAnswer: 1099458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 2 + 0*n**2 + 2*n**2 + n**2. Suppose -j - 5*q = -22, -2*q - 16 = -4*j - 4*q. Determine r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1135 and 3814735?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 6*p - 3 + 9 = 0, 0 = -8*z + 3*p + 26 - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 673 divide 11909222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -479 + 0.0918?\nAnswer: -478.9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -0.4, 8, -3, -4, -2\/3 in ascending order.\nAnswer: -57, -4, -3, -2\/3, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -455 - -452.332. Round b to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -2. Let k = 10 - p. Let t(c) = c**3 + c**2 + c + 15. Let a be t(0). What is the greatest common divisor of k and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a + 26*a + 4 - 4.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87\/5 - (-300 - -312)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llssl. What is prob of sequence lss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f**2. Let q(y) = 5 + 2*y - 12*y + 3 + 14*y**2 + 2*y. Let c(l) = 3*l - 6*l**2 + 2*l**2 - 3 - l**2. Let k(p) = 8*c(p) + 3*q(p). What is k(s(a))?\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/4 - 1784\/(-16). Suppose 88 = -w*t + 116*t. What is the lowest common multiple of 56 and t?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 4*u + 111603 - 37259, 5*u = -v + 37157. What are the prime factors of v?\nAnswer: 2, 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58616031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 5*d**2 - 2*d - 4. What is the units digit of v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 128069 and 128079 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 73\/3 in -2\/21, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 229663 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*y**5 + 2*y**4 - 33701478*y**3 + 379942*y**2 - 287.\nAnswer: -120*y**2 + 48*y - 202208868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**3 + 7*j**2 - 5*j. Let o(b) = 4 - 8 - 14*b**2 - 5*b**3 + 3 + 10*b. Let z(d) = -7*h(d) - 4*o(d). Calculate z(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-22 - (-16 + 5 + 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 0.027\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*d - 0*d + x, -16 = -4*d + 4*x. Suppose w + 110 = d*w. What is the remainder when 63 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5682 - 5680. Let b = -291\/119 - -962\/17. Let p = -54 + b. Sort p, 0.5, 5\/4, w in increasing order.\nAnswer: p, 0.5, 5\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -8, -11532, 0, 2, -5, -1 in descending order.\nAnswer: 2, 1, 0, -1, -5, -8, -11532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2096, -2037, -1978?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36705439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 108048*j + 4754103. What is r(-44)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 122329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5293 - -9639. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j**2 - 40*j - 23. Is y(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -926*g**2 - 1191*g wrt g?\nAnswer: -1852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 0. Suppose -5*o + d*o + 51 = 0. Suppose -43 - o = -3*z. Calculate the greatest common factor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**2. Suppose -m + 5*m = -8. Let l be m*(-10)\/4 + -4. Let j(h) = l - 11 + 10 - h. Determine j(f(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w + 25, -20*c + 18*c - 1 = w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 9, 168, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*d - 7 - 242 - 23*d - 2 to the form r + v*d and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6621 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58 - 2*i + 130 - 6844*i**2 + 3*i**3 - 72 + 3*i**3.\nAnswer: 6*i**3 - 6844*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (1 - (-3 + 7 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/7 + 4\/(-14). Suppose u = g*o - 116, 5*o - 5*u - 246 - 39 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -119, 11 in decreasing order.\nAnswer: 11, 3, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47118, -47116, -47114, -47112, -47110?\nAnswer: -47108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3925*p**2 + 3932*p**2 - 70 + 70.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*l - 6*l - 3*t - 34, -6 = 2*t. What is the common denominator of ((-372)\/16 + l)\/2 and 1\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35.75 + 46.75. Let v = 0.024 - 4.024. Which is the second smallest value?  (a) g  (b) -5  (c) v  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ujjjununuy. Give prob of sequence jjny.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149203 is divided by 1355?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.67 and -154.7.\nAnswer: -103.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*z + 62*z + 434 = 0. Calculate the smallest common multiple of 341 and z.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136.94 - 13044433324?\nAnswer: -13044433460.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 81*k**2 + 12*k**3 - 10*k**3 - 1 - 33*k**2 - 2*k**3 + 2*k**3 - 2*k**3 + (0*k**2 - 3*k**2 + 10*k**2)*(4*k - 3*k + 0*k).\nAnswer: 7*k**3 + 48*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 347740885 or -1\/2?\nAnswer: 347740885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(432) + -2*sqrt(432) + 3 - sqrt(432)))**2.\nAnswer: 96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxiiexeieeevxevdx. Give prob of picking 1 e, 1 v, and 1 i.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 2:37 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46 by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19557622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17456 and 20208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b + 8. Let u be i(3). Is 0 + (-6037)\/(-5) - 2\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * -233.\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 277356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33512394*s**2*u + 81*s*u + 2*s + 4*u - 1519 wrt s?\nAnswer: 67024788*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8940 divided by -6?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 78*m - 81*m. Solve m*u - 14 = 5*f, 6*f - 3*f = 4*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -27364 - -674?\nAnswer: -26470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26\/22849 - -22667\/159943. Factor -26\/7 - s*h**2 - 27\/7*h.\nAnswer: -(h + 1)*(h + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4731520 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -246 + 656 - 133 + 4916*w + 1032 + 2732 wrt w.\nAnswer: 4916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4920321?\nAnswer: 3, 7, 23, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10556, 64543, 205396, 476549, 921436, 1583491, 2506148, 3732841?\n\"Answer: 7239*p**3 - p**2 + 3317*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 32 = 5*o - 64, 22 = 5*o - 4*s for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97723?\nAnswer: 79, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b - 17*d - 26781 + 26711, -3*d = -4*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence maz when three letters picked without replacement from {z: 1, a: 2, n: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(288) - sqrt(288)*2*1.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36033 is divided by 6004.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -0.5  (b) -0.4  (c) -0.1  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from xlbzzzlbzhlhziibzhz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(192)*-2 - sqrt(192)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, 1\/7, -8\/3, 17, -61?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**3 - 62*i**2 - 174*i - 98. Determine l(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 7*a**2 - a. Let m be k(-7). Let j = -2 + m. Suppose -w - j = -2*w - 2*u, 2*w + u = 7. Solve -v = 2*v - w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 42 - 96 + 120*n.\nAnswer: 120*n - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6934 + -4.6934. Let j = -2.1 + 2.1. What is the closest to 3\/2 in 4, -6, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 2*q**2 - q + 1. Let y be p(-3). Is y - -5 - -1*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 11 = 13*i. Solve 0 = 3*y + 10 - i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, v: 7}. What is prob of picking 3 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i + 9. Suppose 0*h - 2*h + 52 = 5*q, 0 = q - 4*h - 6. Calculate m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2122 + 13101?\nAnswer: 21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(165) - sqrt(165)*-1) + sqrt(165))\/sqrt(5))\/(sqrt(12)\/sqrt(4)*3) + (sqrt(110)\/sqrt(5)*6)\/(sqrt(10)\/(2*sqrt(5))).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + x**2 + 9)*(1 - x**2 - 1) + 14*x - x**4 - 14*x.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*y + 16*y - 32*y - 1 + 1.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.077 and -3.\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + m = 287, -57 = 5*q - 3*m - 780. Let f be (-1 - 3) + q\/38. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.395853 plus -0.1?\nAnswer: 2.295853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 70 * 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89.59 - 90. Let z = 598819.590057 - 598820. Let f = z - u. Round f to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78789 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (164\/(-123))\/((30\/(-9))\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42537 by -3867.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + h + 25 - 65, m + 4*h = 34. Let u = m + -13. Solve -5*k = -3*f - 10, k - 4 = u*f - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 3*t**2 + 38*t + 21. Let o be u(26). Let f = o + 770537\/53. Find the common denominator of f and 71\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/324 and (12 - 2) + 14483\/(-1512)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-7)\/(-6))\/7 + (-1912)\/(-48). Suppose -5*v = 20, r = 6*r + 5*v + c. Let y be (60\/16)\/((-1)\/r). Solve 0 - y = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -1598*b - 6 + 3208*b - 1605*b + b**2. Determine j(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/28 + (-11)\/((-308)\/276). Solve -y = -6*u + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2\/5  (c) 19  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 3*n + 6. Let j = -41 - -43. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138*l + 29*l - 46*l.\nAnswer: -155*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from {q: 1, a: 1, r: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248*s + 248*s + 2*c + 8 = 494*s, 4*s - 12 = 3*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 10 = i + 14, 3*v + 18 = -i. Let m be v\/(-5)*(-50)\/15 - -3. Let p be ((-616)\/(-80) - 8)\/(m\/5). Sort 1, 4, p.\nAnswer: 1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of 0 - 159\/20*y**5 - 23\/4*y**4 + 0*y**2 - 125*y + 0*y**3. What is the third derivative of k(c) wrt c?\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -117610 (base 8) to base 2.\nAnswer: -1001111110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 = t, 5*l + 17 = 2. Let x(c) = c + 1. Let y(w) = 3*w + 1. Let u(f) = t*x(f) - y(f). Let q(n) = 0*n**2 + 4*n**2 - n**2. Calculate q(u(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8829*x + 9416*x = 9392 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 523251415 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (3\/3)\/((-5)\/(-15)*144\/84)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -437 + 637. Let v = -200.00000139 + w. Round v to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/((-25 - (-312)\/16)\/(-11)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 1 - 0. Let q be (1\/(-1) - m) + 5. Suppose 3*u - q = 6. Solve -u = -2*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30\/13*n**2 + 14\/13*n**3 - 2\/13*n**4 + 2*n - 8\/13.\nAnswer: -2*(n - 4)*(n - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60541 - 38306. Let g = -11152 + r. Let j = g - 177383\/16. Calculate the common denominator of -73\/2 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.4 - -1.6. Let p = d + -9.3. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3645467 (base 8) to base 7\nAnswer: 11343100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 9 = 2*n, -n = 2*n - 4*s + 29. Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 84 - 49. Suppose -a + 8 = -c, 5*a - 3*c = a + 36. Calculate the remainder when x is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 - -53. What are the prime factors of (d - 3) + 1*-1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-160))\/((-12)\/5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q**3 - 4*q**2 - 2*q - 12. Let j be y(4). Let d = j + -39. Suppose 0*p = 5*p - 20. Solve 4*o = p*k + 16, -d*o + 17 = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7860554?\nAnswer: 2, 13, 302329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1107\/1722*(-4)\/(-9). Let m be -1 - (14\/(-6) + 2). Is m >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mgm when three letters picked without replacement from {n: 10, i: 1, g: 1, m: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m**3 + 5*m**2 + 9*m - 11. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(1\/5)\/((d\/d**(-1\/2))\/d)*d*(d*d**0*d)\/d*d*d*d**(-1\/9)*d assuming d is positive.\nAnswer: d**(413\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*w**3 - 87125*w**2 - 110*w + w**4 - 2 - 3*w**4 + 87126*w**2 + 3 + 782*w**3 wrt w?\nAnswer: -48*w + 4836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 817*o**2 - 76586*o - 75768.\nAnswer: (o - 902)*(o + 1)*(o + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -9*o + 15. Let f be h(2). Sort -4, -34, f, -5.\nAnswer: -34, -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*s = 46*s - 2106013. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 65*j**3\/3 + j**2 + 316. Let y = 3 - 2. What is the remainder when t(y) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 19 = -4*h, -17 = -3*a + 14*h - 12*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8625*b + 7969*b - 12472*b.\nAnswer: 4122*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 6083*t + 31091. Calculate n(-5).\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 36*v**2 + 90*v + 6301. Determine m(-33).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 = 56. Suppose x - 2 = u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 36.96 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 greater than -35160\/853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5850 and 126945?\nAnswer: 1269450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 223573, 446064, 668555, 891046?\n\"Answer: 222491*d + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 127945 - 127945.4. Let m(k) = -5*k. Let f be m(1). Which is the nearest to -38?  (a) f  (b) -2\/9  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 24*t**3 - 76744*t**2 - 76750*t\/3 - 2132 = 0.\nAnswer: -1\/6, 3198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -4*l**3 + 5*l**2 + 3*l. Let x be 1\/(2 - 3) + (-14)\/7. List the prime factors of u(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/3 or -76?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1946466 and 2637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37070071 less than 12.3?\nAnswer: -37070058.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4635 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -14869632249 - -0.049\nAnswer: -14869632248.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 39999 - (-1 + -2). Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*d + 40 = 31*d. Which is smaller: -196\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 + i + 25. Let t be u(0). What is t rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 1\/2, -11182?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 665\/63 - -12?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -160.8  (b) 126  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + (-185)\/74*81624\/(-9310)?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ew when two letters picked without replacement from wewqyff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 11*l - 13*l + 10 = 0, 5*l = -w + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*z**4 + 91*z - 2*z**3 - 3*z**2 - 3 - 90*z + z**2 in the form b*z + f*z**2 + c*z**4 + n*z**3 + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (v - 9*v + 4*v**2 + 26*v)*(63*v - 63*v + 17*v**2) + (-v**3 + v**3 + v**3)*(5*v + 6*v - 12*v) as h*v + j*v**2 + q*v**3 + p*v**4 + s and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1)**(-12)*(d**(-1\/3))**(2\/69))\/((d**2\/d*d)**(7\/13))**(13\/8) assuming d is positive.\nAnswer: d**(-11393\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 97892.24 millilitres?\nAnswer: 97.89224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 3. Let y = 8 - 13. Let p = -1 - y. What is the remainder when p is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from rrzogrrrz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/61540 and 23\/12240.\nAnswer: 2215440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a - 4*a + 123926 = 0. What are the prime factors of a?\nAnswer: 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 7:14 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-43174)\/(-5))\/(98\/245) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 31 + -5aa?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*u + 566*u**3 - 24*u + 176*u**3.\nAnswer: 742*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7378132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5175553.\nAnswer: 41, 126233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 286\/(-16) + 18 - 286317\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/174 and -38\/102399?\nAnswer: 204798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-36))**(-3\/10))**(-7\/6) assuming g is positive.\nAnswer: g**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 11:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -52, -70, -80, -82, -76, -62?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -777*o - 12 + 113*o + 12 to v + q*o and give q.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a (base 15) in base 8?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f + 19. Let d be o(4). Let g = -10 + d. Suppose g*j - 3 = -3. Solve 5*y + 3*v + 13 = 0, 0 = 5*y - j*y - 3*v + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify b*(b**(-4\/9)*b)\/b*((b*b*b**(-3))\/b)\/b*(b*b**(-1\/11))\/(b\/(b\/(b*b**(1\/4)))*b) assuming b is positive.\nAnswer: b**(-1499\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15011096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*r**2*u + 599*r**2 - 99*u wrt u?\nAnswer: -2*r**2 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 127372 (base 11) in base 5?\nAnswer: 22400332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 98816 = 4*g, -g + 3 - 2 = 0. Suppose -11*r + 542177 + 569483 = 0. Let j = d + r. Round j to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*f**3 - 2*f**3 - f**3)*(4 - 2 - 3 + 4 + 0 - 3 + (5 - 1 - 3)*(-7 + 8 + 3)) to the form u*f**2 + m*f + p*f**3 + t and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 416440897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6739\/4 + -1697. Calculate the common denominator of b and (-6)\/8 + (-119)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -4*q + 50622, -5*q = 407*h - 408*h + 25276. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 611b - ac94?\nAnswer: -4b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -12*t**2 + 5*t - 2. Suppose 2*w - 3 = -1. Let m be q(w). Let b(s) = s**3 + 10*s**2 - 5*s - 7. List the prime factors of b(m).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*b + 5. Suppose 40 = b*o - 3*o. Calculate the remainder when 39 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 18  (b) -0.4  (c) 0.4  (d) -2\/23  (e) 2.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25803 is divided by 12807.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3333 and 64438.\nAnswer: 193314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 3) + 0 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -58. Let g = 0 + -0.1. Which is the nearest to g?  (a) -2\/13  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 2*a + a + 2*d, -5*a + 4*d + 173 = 0. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19863156.\nAnswer: 2, 3, 1655263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**2 - 662*q + 662*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3\/3 - 3092*h**2\/3 + 4*h\/3 + 3092\/3.\nAnswer: -4*(h - 1)*(h + 1)*(h + 773)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {s: 4, e: 1, m: 1, k: 3, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2114\/55 or 38?\nAnswer: 2114\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 588 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f + 15. Let t be v(9). Let n(d) = d**3 + d**2 + 1. Let o(y) = -5*y**3 - 9*y**2 - y - 8. Let s(m) = t*n(m) + o(m). Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/743 at least as big as 6.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 41 and 0.035.\nAnswer: 1.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-88)\/(-8)*-1*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -859 take away 0?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-47304)\/(-81) + (0 - -10) is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10726784 and 107152.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*(-7)\/21 + 28\/6. Suppose -6*v = -v - 30. Is w > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*a = 88 - 7 + 23 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 31061, 62136, 93221, 124322, 155445, 186596, 217781?\n\"Answer: l**3 - l**2 + 31071*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from {i: 2, l: 5, g: 2, m: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 9 = 1. Suppose 3*r - 11 = 5*d - 199, -5*r = -k*d + 153. Suppose -t - a = -12, -a + d = 4*t - 2. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1063 + -28. Let g = v + -360. Suppose -30*q = -35*q + g. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 3. Find the second derivative of t*c**3 - 7*c**3 + 11*c - 5*c**3 wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -0.3, -10\/9, 3, -0.068?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 take away -27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*b**2 - 261*b + 261*b.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1285*f = -12364 - 12051 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 114 + -73. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -305 + 481. Suppose 4*n + 84 = 2*b, -5*b + 8*b = -4*n + j. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 732.8 + 219313.\nAnswer: 220045.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 10. Let v = s + 10. Suppose 0 = 5*l - v. Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 + 777 = 4*o. Let p be (-3)\/((-63)\/(-2406)) + 33\/(-77). Let i = p + o. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1 - 2) + (-4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -3*n - 11, 17 = -9*n - 10*n + 14*n - 4*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + y**2 + 292789*y - 292789*y + 10.\nAnswer: y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + (-273)\/35)*440\/(-1848)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(224)\/(sqrt(4) - (sqrt(4) - sqrt(4)*1)))\/(sqrt(8) + (sqrt(32)\/sqrt(36) - sqrt(8)))*-1*2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 - 8*l**2 - 10*l - 2. Let q be o(-7). Let m(k) = -5*k + 3. Let r be m(-6). Let n = r - q. What is the least common multiple of 22 and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -104 - -101. Let g(r) = 5*r**2 - 4*r + 7. Let l(c) = 6*c**2 - 5*c + 8. What is n*l(h) + 4*g(h)?\nAnswer: 2*h**2 - h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -61875.99 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 3*v**3 + 6*v + 5*v - 8 - 6 - 19*v**2. Is 11 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - (-14 - (-11 + 15))) + -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/888 and -3\/32.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5*q + 36. Let k be u(4). Let g be (-126)\/(-56)*k\/(-6). What is the common denominator of 47\/18 and (((-5)\/g)\/5)\/((-8)\/102)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 978, 1054, 1192, 1392, 1654?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1728223096 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*l = 3*l - 176. Solve u + 9 = 3*c - 3*u, -4*c + l = -5*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 65*n - 126. Let m be k(-63). Solve m = -a + 12 - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -112 by -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (-20)\/((-3)\/(-3)). Let b = w + -16. Suppose l - 26 = b. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 67360 and 8512?\nAnswer: 17917760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8341, -87953, -310089, -746011, -1466981, -2544261, -4049113?\nAnswer: -6052799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 602058559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-8))\/(6\/(-12)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 107904159 divided by 6\nAnswer: 35968053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and (0 - 1\/10) + 41\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 25, 70, 195, 436, 829, 1410, 2215, 3280?\n\"Answer: 6*m**3 + 4*m**2 - 9*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 29 + 5*z**2 - 2*z - z**3 - 10*z**2 - 32. What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1686798 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (-7 - (-4 + 2)). Suppose 3 = 2*d - 5. Suppose 0 = -d*f + h - 3*h + 30, -4*f + w*h = -34. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1002073 (base 8) to base 9\nAnswer: 441064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*y**3 - 14*y - 9*y + 24*y.\nAnswer: 124*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3041*z + 163818 = -167*z for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121 (base 5) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10606 (base 11) in base 9?\nAnswer: -23071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 132 + -159. Let q = l - -30. What is the third biggest value in q, -2\/3, -0.21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (55 - (1 + -3)) + (-9 - (-11 - -1) - 9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and -768.5?\nAnswer: 765.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 11:50 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -574b (base 13) to base 9.\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 26.17. Let n be (10\/25)\/(36\/(-10) + 2). What is the nearest to n in -2\/11, 0.4, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14483579 is divided by 965571.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -29\/2*x**4 + 233\/4*x**3 + 0*x + 0 - x**2 = 0.\nAnswer: 0, 1\/58, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - sqrt(99)*2*-4) - 1*2*sqrt(99))\/(-4*(sqrt(81) + sqrt(81) + -1*sqrt(81)) - sqrt(81)).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 269846791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 0*l - l)*(-20*l + 23 - 23) + ((-2*l - l + 4*l)*(-7*l + 3*l + l) - 3*l**2 - 2*l**2 + 6*l**2)*(-1 + 5 - 6) to y*l**2 + c*l + g and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 9, d: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -0.299993. Round q to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 50*u - 1214. What is the least common multiple of 133 and r(-68)?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -306812218 - -978.67\nAnswer: -306811239.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -10408\/21 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8\/3  (b) -2\/7  (c) 1  (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/1420 and -77\/2910.\nAnswer: 413220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 0.03, -2\/95, -1\/5 in ascending order.\nAnswer: -1\/3, -1\/5, -2\/95, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6738 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of ((-161)\/(-21) - 11)*(-281088)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6727633711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33246 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/8))**(1\/87)\/(w**(-2\/7)*w*(w**(3\/5)\/w)\/w) assuming w is positive.\nAnswer: w**(16669\/24360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25119 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 11. Let y be a(9). Let j be y\/((-6)\/(-3)) + -5. Let c be 0*((-12)\/8 - -2). Put c, -2, j in decreasing order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1951505, 3903075, 5854645?\nAnswer: 7806215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(245) + -2).\nAnswer: -28*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-39)\/4)*(-442)\/(-2788)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -6. What is the least common multiple of r and (-2 - -4)\/((-10)\/(-55))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/5?  (a) 4  (b) -3  (c) -5.9  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(162) + -4*sqrt(162)*6)*1.\nAnswer: -207*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.409 - 0.209. Let i = -2 - -1. What is the biggest value in b, i, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*u - 17*u + 17*u to i*u + d and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 195095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -2. What is the biggest value in b, -1\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4*p**3 - 2*p**2 + 4*p - 3. Let r be x(1). Suppose 0 = 4*z - 4, -3*t = -r*z - 1 + 4. Solve 0 = 4*l - 2*u - 16, t*u + u - 20 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -446 = -9*s - 176. Suppose -15*v = -17*v + s. Calculate the least common multiple of v and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of c**5\/360 - c**4\/18 + 6*c**2. Factor i(z).\nAnswer: z*(z - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2992430 is divided by 80?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 183973053, 367946108, 551919163, 735892218, 919865273, 1103838328?\nAnswer: 1287811383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*k + 29*k = -21*k + 207 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.287 + -0.013. Let o = -0.08 - -6.08. Let l = o - 6.4. What is the nearest to -1 in 5, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4804*y**2 - 2344*y**2 - 2456*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 432624 + -6132624. What is y rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -3*u - 298, -6 = -5*u + 14. Let z = p + 60. Let q(j) = -j**2. What is q(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 22 + 8)*(-q - q - q - 5*q + 2*q + 4*q + (-4*q + q + q)*(1 + 3 - 7) + (-4*q + 6*q - 3*q)*(-3 + 2 + 4)).\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 0) + (52 - 53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - 10*y - 9. Let s be u(-7). Suppose 61 = 4*b - 3*k + s, -5*k = b - 18. Let c = b - -1. Calculate the highest common divisor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363597 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 1498386132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2490792 and 264879?\nAnswer: 4647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -2, -0.21, 0.1, 2\/263, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 38*k - 8. Give b(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 552*f**2 - 1 - 275*f**2 + 4*f**4 + 26*f - 278*f**2 as s*f**3 + y + i*f**2 + k*f**4 + b*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1572395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.45396 centuries to months.\nAnswer: 110944.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 158 + -101. Let g(z) = 247*z - 2712. Let v be g(11). Suppose 5*i - 170 = -3*t, 2*i - v*t + 4*t = c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/11 + 628*h\/11 - 1902\/11.\nAnswer: 2*(h - 3)*(h + 317)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2061)\/(-1145)*(-1)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 659761026?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(1\/8)\/(h**(2\/17)\/h)*(h*h**(3\/4))**(-1\/2) assuming h is positive.\nAnswer: h**(9\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2637\/2 - -1276. Find the common denominator of -22 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9122111?\nAnswer: 1789, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -f**3 - 183*f**2\/2 + 186*f + 612. Factor c(u).\nAnswer: -3*(u - 1)*(u + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 3686 in increasing order.\nAnswer: -3, 0, 3686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5081*p**4 + 2*p**2 - 116*p - 17979672 with respect to p.\nAnswer: 20324*p**3 + 4*p - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 10. Suppose -20 = -8*t + 4*t. Let o = 0.2 + -0.4. Which is the closest to -1?  (a) o  (b) t  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15179 times 4\nAnswer: -60716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -10101110111000100101110?\nAnswer: 10101110111000100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 21 = -a - 5*t, a = -4*t + 7. Suppose 12 = 2*v - 3*h, -1 - 7 = -2*h. Calculate the remainder when v is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(8\/(-96)*-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 3)*(5 + 0 - 3) + 3 - 4 + 2)*(-b - b + 4*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**3 - 27*o**2 + 60*o - 36 = 0. Calculate o.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 21. Let t be o(-5). Let b(w) = t*w - 1 - 14*w - w**2 + 6. Let v be b(-11). Let c(i) = -2*i**2 - 10*i - 6. Calculate c(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-106)\/17)\/(-2) - (-302)\/(-2567). Suppose q*a = -v + 21, -2*v = -0*a + a - 32. Solve u = -2*u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.221 + -0.039. Let h = 0.04 - u. What is the second biggest value in -0.3, 5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49 + -6 - (-418 + 442)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -26, -39, -52, -65?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 100*q**2 + 54399560*q + 7398280320484 = 0. Calculate q.\nAnswer: -1359989\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, m: 11, j: 5}. What is prob of sequence jjj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 149*h**2 - 320*h - 1280. Let q(t) = -54*t**2 + t**3 - 20*t**2 + 92 + 548 + 160*t. Let m(f) = 4*l(f) + 9*q(f). Factor m(a).\nAnswer: 5*(a - 8)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1085)\/(-330) - (-36)\/66 and (291\/28)\/((-12)\/(-8)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -307.88 + 309.88. What is the closest to -11 in -11, c, -0.9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 1. Suppose 5*y - 4*a - 2 = -37, -4*a + 63 = -9*y. Determine z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9445 and 92610114.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-19)\/((-19)\/6) - -16794. What is i rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7488 and 19674?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2002753?\nAnswer: 17, 117809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*r**5 - 17268030*r**3 + 161*r**2 + 396631*r wrt r.\nAnswer: 180*r**2 - 103608180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, j: 1, u: 1, y: 4}. What is prob of picking 1 f and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -9*l + 15. Suppose 0 = b - 2*a - 21, 64 = b + 3*b - 3*a. Let w(t) = -t + 1. Let o(n) = 8*n - 11. Let g(k) = o(k) + 4*w(k). Calculate b*g(q) + 6*u(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2741*12\/(-9)*(209\/(-22) - -8) is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8249783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4994 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-119 + 175 - 47) + 0 + 0 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5529.578 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -0.06, 0.5, -3, 5, -4949?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2275.665 - 2218.6. Let n = g - 57. Let d = 0.165 - n. Put -1, 12, d, 3\/4 in increasing order.\nAnswer: -1, d, 3\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 96*b - 2497. What is x(34)?\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11482 + 11482.2. Which is greater: r or 7.89?\nAnswer: 7.89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 2. Let y be r(-14). Let b = y + 20. Determine j so that 249*j**3 - 81*j**3 - 32*j + 1 - 686*j**b + 136*j**2 - 686*j**5 - 1 = 0.\nAnswer: -1, -4\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4375 divided by 25\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n + 1. Let b be z(-4). Suppose -5*a + 4*t - 5 = 0, -b = -a - 2*t - 0*t. What is l in 2\/3 + 8\/3*l**2 + l**a + 7\/3*l = 0?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 - 6*d - 5. Let w be n(-4). Suppose -229*g + 6 = -226*g. What is the derivative of -2 + 9*x**g + 9 + w wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*s)*(-2*s + 2*s - s)*(-2386*s + 410*s - 409*s).\nAnswer: 4770*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -3*q**2\/4 + 2193*q + 26424 = 0.\nAnswer: -12, 2936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**5\/30 + s**4\/8 - s**3\/3 + 2232*s**2. Let t(m) = m**2 + m - 1. Determine -k(o) + t(o).\nAnswer: -o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*d**5*j - 2*d**5 + 1266*d**3 - 16*d*j - 1381*d + j wrt d?\nAnswer: -80*d**3*j - 40*d**3 + 7596*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7945 at most 7817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 17. What is the nearest to 3 in g, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/17751 - 66287\/83731467. Let z = -175005\/561323 - a. Calculate the common denominator of z and 8\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5\/5 - 1889*t**4\/5 + 22578*t**3\/5 - 101466*t**2\/5 + 202797*t\/5 - 152037\/5.\nAnswer: (t - 1877)*(t - 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 10, 0 = w + w - 3*b + 3. Suppose -3 + 0 = -i. Suppose -3*a + 41 = 4*l + 9, -8 = i*a - 4*l. Sort w, a, 0 in ascending order.\nAnswer: 0, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1032460351 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cocccccococcocccco. What is prob of picking 3 c and 1 o?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 2*a**2 + 4. Let n be r(-3). Let q(m) = m**3 + 7*m**2 + 8*m + 2. Let i(j) = -96*j + 927. Calculate the least common multiple of q(n) and i(9).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/8*4*10\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 54. Suppose 0 = -x + 2*x + 4*w - 272, -2*x - 4*w + 536 = 0. Suppose -4*o + o = -x. What is the greatest common factor of o and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1885*x - 6*x**3 + 1883*x + 122*x**4 - 126*x**4 + 12*x**3 - x**2 + 130*x**3 + 2 as n*x**2 + w*x + r*x**3 + g*x**4 + s and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 + (5 - 2) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -4 + 4 + 6*a**2. Let v be 2\/(0 - 1)*(25 - 26). Let m(z) = z**2 + 9*z - 9. Let t(i) = -i + 1. Let d(n) = v*m(n) + 18*t(n). Determine d(b(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - r**2 - 1)*(-8 - 8 + 3)*(-r**2 - r**2 + r**2).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -470 or 1?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390136063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -9*u**3 + u**2 - u - 1. Give t(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3805547261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(20))\/sqrt(2))\/((2*sqrt(720) - sqrt(720)) + sqrt(720)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 9*j + 10. Suppose 4*u - 4*p = 32, u + 5*p + 7 = -3. Suppose -u*s + 55 = 15. List the prime factors of h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 17.717  (b) -1  (c) 5\/6  (d) 1  (e) 0  (f) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5437879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {z: 1, e: 3, t: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1980*l + 33. Let v(h) = -990*h - 14. What is 3*i(j) + 7*v(j)?\nAnswer: -990*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -0*f. Suppose -3*u - 2*p + 22 = f, -4*p = -4*u + u - 8. What is the lowest common multiple of u and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -10010001111110000001111011?\nAnswer: 10010001111110000001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 786710*b**3 + 1758033*b?\nAnswer: 4720260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4 + 774*h**3 - 206029*h**2 + 21772620*h - 791296900.\nAnswer: -(h - 290)**2*(h - 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*m + 18, 7 = 2*m - 4*n - 11. Let z be 1\/(1*m*3). Which is the third biggest value?  (a) 1  (b) 1\/2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -11.92, 0.2?\nAnswer: -11.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134538507, 134538501, 134538493, 134538483, 134538471, 134538457?\nAnswer: 134538441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 178 - 304. Let q = f - -1343. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -7*d**3 - 5*d**2 + d - 14. Let x be a(6). Round x to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001277 to 7 dps.\nAnswer: -0.0001277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*f**2 + 26*f**2 - 256*f**3 - 15*f**2.\nAnswer: -256*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, 0.25, 0, -5, 1\/7, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*l + 4. Let k be 0\/(-7) + l + (3 - 1). Solve 22 = -k*v + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 16*r**2 + 73*r + 310. Calculate s(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2 + 6*f - 15. Let x(r) = -3*r**2 - 9*r + 22. Let n(q) = 7*p(q) + 5*x(q). Let v be n(-4). Solve 0 = -l - v - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -8 + 38 + 2 + -21 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*1 + sqrt(187)))*-5 - sqrt(187)*-2*-3)\/(sqrt(1331) - (sqrt(1331) - -6*(sqrt(1331) + sqrt(1331)*2))).\nAnswer: sqrt(17)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -127.362458 to 0 decimal places.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 1:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 42201219039 take away -2126?\nAnswer: 42201221165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 4. Let h = 40\/11 + -258\/77. Which is the closest to -1?  (a) f  (b) h  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 61\/305 + ((-59733)\/15 - -2). What is the common denominator of -1 + (-53)\/8 + 2 and 4\/(-14)*1 + p\/(-504)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10201202121210 - 12112?\nAnswer: 10201202102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7  (b) 0  (c) 0.1  (d) 62  (e) -962  (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 + 2*g**2 - 3*g + 1. What is x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 14*x**2 - x. Let j be q(-1). Suppose j = 4*b - 17. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/4 - (-654)\/24. Suppose -3*n + 4 + w = 5*p, 4*n = 5*p - 52. What is the least common multiple of 2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-7) + 48\/(-21). Let i(v) = -v**2 - v. Let f be i(s). Let q be (1 - (-8)\/(-5))\/((-33)\/(-22)). Which is the nearest to 0?  (a) q  (b) -1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f**2 + 9*f + 8. What is the tens digit of n(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 5*y - 37. Let j = -50 + y. Let g(w) = 60*w + 35. Let c(q) = -5*q - 3. Let l(p) = j*c(p) - 3*g(p). Let h(k) = -k**2. Calculate h(l(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3996236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 44\/411  (b) 3  (c) 0.4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g - 2*g + 3*g + (g - g - 5*g)*(-4 + 3 + 3).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-17)\/(17\/(-1698))*(-2)\/(-12). Let n = 1031 - l. Is n a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -297*y**2 + 61*y - 4 wrt y.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 1. Let v(i) = -i + 2. Let q be v(2). Let z be j(q). Calculate the greatest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 4*c + c - 524, 0 = 2*c - 4*k - 200. Is 33 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -421*l - 24822 = 170*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 2, 28, 88, 194, 358?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1, -73, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {b: 2, f: 5, l: 9}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/((x\/(x*x**(-1\/8)*x))\/x))**(-9\/8))**27 assuming x is positive.\nAnswer: x**(-5589\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-15) - 40\/100. Which is the nearest to k?  (a) -6\/11  (b) -2\/5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13*(4224\/(-286) + 15). Let p(b) be the second derivative of 0 + 1\/3*b**2 + 23*b + 1\/72*b**4 + 5\/36*b**i. Factor p(w).\nAnswer: (w + 1)*(w + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -250903247.6153.\nAnswer: -250903247.7153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31752342?\nAnswer: 2, 3, 557, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 19*c**2 - 119*c - 6. Determine h(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18256)\/1630)\/(((-2)\/(-1))\/((-100)\/20))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0*o = 0. Suppose -q = 4*q - 40. Let n = q - 6. Which is the nearest to o?  (a) n  (b) 4\/9  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s - 76. Let k be u(16). Suppose -2*x + 299 = -7*c + 6*c, k = -4*c. List the prime factors of x.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - a = -5*f, 0 = 4*a. Suppose 0 = 2*t + c - 11, 2*c - 6*c + 20 = f. Differentiate 4*x**t - 14 + 0*x**4 - 4*x**3 + 10*x**4 with respect to x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39704957.\nAnswer: 3209, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ksdkkskkskkswksss. Give prob of sequence dskk.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1680*c**3 + 25*c**2 - 20*c + 60. Let a(i) = 560*i**3 + 8*i**2 - 6*i + 18. What is -10*a(u) + 3*o(u)?\nAnswer: -560*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 570 is divided by 12 + -23 - (-88)\/8 - 145\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 100*l**4\/3 - 7*l**3\/6 + 9*l**2 + 191*l - 1. Find the second derivative of t(u) wrt u.\nAnswer: 800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400)\/sqrt(5) + ((sqrt(5) + 1)*1 - sqrt(5)) + sqrt(5) - (sqrt(2420) - (sqrt(2420) + -1))*1) + 5.\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 9. Let y be f(9). Let u = 108 - 49. Let v = u - y. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (152 + -4)*4\/8. Suppose -2*w = -4*f + m, 3*w + 64 = 4*f - 15. Let v(r) = 11*r - 2. Calculate the least common multiple of f and v(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 396117440.7 rounded to the nearest one thousand?\nAnswer: 396117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7068 and 392388.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 2)*(-2679 + 1362 - 3*w + 1067).\nAnswer: -9*w - 750","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/98 and 9\/6*((-650)\/(-66))\/5?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17112)\/558*124\/(-713)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432) - (4 + (0 + sqrt(432) - sqrt(432)))**2.\nAnswer: -16 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d. Let b be 6\/(-9)*3*(-1)\/(-2). Let j(p) be the first derivative of -3*p**2 - 1. Determine b*j(z) + 4*s(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((40\/(-1500))\/(19\/(-10)))\/(31\/(-1550)*20)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7.4?  (a) -103  (b) 4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3470 by 2.\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 8*u - 5. Let c(l) = 39*l - 24. Suppose -b + 12 = 4*m, 6*b - 3*b = 4*m + 4. Suppose m*t + 102 = 4*a, a - 2*a + t = -27. Calculate a*q(y) - 5*c(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -431*d + 8624. Calculate the remainder when 6637 is divided by k(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 - 2*a - 1. Let n be (3\/(-8) - (-2)\/(-16))*0. Let o(z) = z + n*z + 4*z**2 - 3*z**2 - 1 - z. Give h(t) - 3*o(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35736327401 + 15690897717. Let w = c - -20045429774.00000053. Let f = -90 + w. What is f rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*x**2 - 39*x**2 - 31*x**2 + 135*x**2 - 31*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 533833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0*-18406838\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 3*v**3 + 29*v**2 - 27*v - 80. Calculate the remainder when y(-8) is divided by 222.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/2 and 1.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a century in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 5*t - 3. Let b be p(-3). Suppose 6 + 0 = b*q. Solve 33 - 3 = q*c - 4*l, -2*c + 2*l + 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = n + 4*n, 3 = 3*p + 2*n. Are -6\/839 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/(-30)*3\/5*10. Let q(x) = -x**2 - 3*x + 2. Calculate q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = z + 198, -1 = -t + z - 94. Let o = t + 128. Solve 5*g + 4*n = -o, -2*n + 10 = -2*g - 3*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 1  (b) -12  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + 3*u - 2*u)*(0*u - 4*u + 3*u + 4 - 2*u - 4 + (1 + u - 1)*(4 + 0 - 3) - 2*u - 3*u + 3*u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 883401 (base 10) to base 15.\nAnswer: 126b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1786 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**3 + 78*v**2 - 648*v = 0. Calculate v.\nAnswer: 0, 12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15 - 0) + 5 - 5) + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13740 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16330, -15724, -15118, -14512, -13906, -13300?\n\"Answer: 606*x - 16936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 215264743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*m = -31*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 - -0.3. Let a = -8 + 13. Let u = 0 - 0.1. Sort b, u, a in decreasing order.\nAnswer: a, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d - 1. Determine a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 174*u**3 + 207*u**2 + 8*u - 8. What is the ten thousands digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 133917114*c**5 - 21459706*c - 2 wrt c?\nAnswer: 2678342280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 83647 + -14?\nAnswer: 83633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260.59031 hours in weeks?\nAnswer: 7.50351375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 76 = 3*o. Suppose -2*m = 3*m + d - o, -m + 6 = -2*d. Sort 0, 7, m in ascending order.\nAnswer: 0, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -272166666 by -191937.\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -570, -2074 in decreasing order.\nAnswer: -5, -570, -2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 14 = -2*l, h - l - 11 = 2*l. Suppose 5*j = 20 - h. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210.0629kg in milligrams?\nAnswer: 210062900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 74, 19875, 6 in increasing order.\nAnswer: 4, 6, 74, 19875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.09 - -2.91. Let h = 6 - z. Let x = 3.99 - 8.99. What is the second biggest value in x, h, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -2*g - 2*a, -6*g + 117 + 73 = -a. Solve -15*f + 1 = -14*f - m, 4*f - g = -5*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**3\/5 + 109*w**2\/5 - 682*w\/5 + 184 = 0. What is w?\nAnswer: -115, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4 = 24. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**10\/5040 - q**7\/315 + q**4\/6 - 5*q. Let k(x) be the third derivative of b(x). What is the third derivative of k(t) wrt t?\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 15*a - 24. Let q be b(13). Suppose z + 4*z = w - 157, -q*z = -4. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 4912  (c) -5  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mtussunmsuusnmtms. What is prob of sequence tms?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 1327.91um?\nAnswer: 0.00000132791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - -277?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 11*k**2 + 128*k - 34. Calculate p(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c951 (base 15) in base 13?\nAnswer: 50626","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 6*n + 12. Let i be f(4). Suppose -35 = -c - 3*o, o + i = -0*o. Let a = -12 - -28. What is the remainder when c is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((-2)\/21)*60\/126*-309. Solve 3086*n - 24 = p*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2273 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 16 + 11 = 0. Solve 4*c + 3*f + 5 = 0, k*c - c - 3*f - 11 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4*u = -10, -u + 0 = 3*k - 5. Is (k + 15\/(-9))\/((-6)\/6759) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -67629368 divided by -8453671?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 24 = -4*m - 4*c, 20 = 2*m + 4*c. Suppose -3*z - m*n = -19, 2*z - n = -2*n + 6. Is 192 - (2 + (0 - z)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -24\/5  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + -16075653\nAnswer: -16075652.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 53 = 6*z - z, -2*z + 38 = -3*b. Let m = z - 11. Solve m*i - 2*f - 3*f = 31, -f = -i + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87 + (-29 - 70) - (1 + -51 + (0 - 3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.5 - -4.5. Let t = -3075603 + 7704385819\/2505. Let g = 2\/167 + t. Which is the second biggest value?  (a) -0.1  (b) p  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 160\/(-50) + (-14)\/98*0?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/1393 and -173\/55188.\nAnswer: 10982412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 3*y - 18, 2*a - 3*y - 22 + 5 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2323584 rounded to 4 dps?\nAnswer: -0.2324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o**2 + 3*o - 1. Let r(g) = -9*g**2 + 7*g - 3. Let j(y) = 7*m(y) - 3*r(y). Give j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2958)\/2639 - (-52)\/(-169)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + 6*s - 30. Suppose 4*k - s = -g, -g + 2 = -5*k - 3. Solve k*y + 2*j - 6 = -y, 5*y + j - 3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 4*b**2 + b + 5. Let a be i(-4). Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 - 3*n**2 + 6*n + 13*n**2 + 0 = 0 for n.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nunnnunnnunuu. What is prob of sequence nnun?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + (-78 + 25 - 16)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (806\/217)\/(1\/(-14)*(-8)\/4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4\/173 - -366\/865. Let z = 30 - 15. Which is the third smallest value?  (a) j  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719*k = 35470 + 19174 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46640206 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, -1, -3\/8, 4 in descending order.\nAnswer: 31, 4, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and 115829.\nAnswer: 115829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-6)\/36*-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -15*q - 2. Let b(v) = -75*v - 12. What is 2*b(s) - 11*l(s)?\nAnswer: 15*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**3 - 20*x**2 - 13*x + 25. Let h be y(11). Suppose 123*q - h*q + 3 = 0. Sort 0, 88, q.\nAnswer: 0, q, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011 + -12?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -10*b**3 - 3*b**2 - 3*b - 3. Let m be g(-2). Suppose -4*f = -3*p - m, -3*f + 5*p = -4*f - 11. Calculate the highest common factor of f and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*j = -113*j - 269096. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m + 3*m**2 - 6 + 0*m + 2 - 3*m + m**3. Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/v**(-3\/2))\/(v\/(v\/(v\/(v\/(v\/v**9))*v))))**(-49)*(v\/(v*v**0))**39*(v*v**(-1\/2))**(-39) assuming v is positive.\nAnswer: v**(-534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, b: 4, u: 3}. What is prob of picking 2 b and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12\/318953 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -251785018 divided by -1?\nAnswer: 251785018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a - a + 8*a - a**2. Suppose 0 = 3*t + t - 32. Does 20 divide h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1356 and 20?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2 + (sqrt(147)*2)**2 + 2.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (22\/14 - 1)*7. Let d be (1 + 3)\/t + (-1)\/(-1). Suppose -12 = -d*u - 4*u. Solve 2*n = -2*n - 4*i + 12, 0 = u*n + i - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-2)*28\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -205*w. Let g(k) = 3130164*k. Calculate t(g(r)).\nAnswer: -641683620*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 + 1988*q**2 - 215660*q - 8023604.\nAnswer: -4*(q - 263)**2*(q + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 0, -6 in decreasing order.\nAnswer: 4, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00715485 rounded to 5 dps?\nAnswer: 0.00715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -6721?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**3 - 4*x**2 + 2*x + 4. What is the least common multiple of 14 and a(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/4)\/((-12)\/(-32)). Let i = 2 - r. What is the closest to 1 in i, 1\/6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -438.1 - -395. Let p = 1.1 + n. Let k = -42.2 - p. Sort -1\/4, 0.1, k.\nAnswer: -1\/4, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 15, 2355 in ascending order.\nAnswer: -4, 15, 2355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -102 - -188. Let q = g - 85.8. Which is the nearest to 0.2?  (a) 1  (b) q  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*m = 77*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2533786 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78091019.\nAnswer: 41, 383, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, 3, 2\/7, -3\/322, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-15)*-9 + 0. Suppose b*m - 6 = 0, -5*m + 930 = -5*j + 3325. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -155, -20\/49, 2, 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -389828.6161 rounded to the nearest one hundred?\nAnswer: -389800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 30128, 30115, 30102, 30089?\n\"Answer: -13*s + 30141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 56 or -12?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.010622305 rounded to five decimal places?\nAnswer: -0.01062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 14*x + 40. Let i be s(5). What is the remainder when 235 is divided by (-120)\/(-4) + 9 + i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1556, 41, -1, 0, 3 in increasing order.\nAnswer: -3, -1, 0, 3, 41, 1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from {q: 9, d: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -8*n**3 - 10*n**2 + 3*n + 21. Is d(-5) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -169\/2 - -85. Let y = 11.8 + -7.1. Let u = y + -5. What is the biggest value in u, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**5 + w**4 + w**2 + w - 4. Let k(b) = -2248*b**5 + 6*b**4 + 6*b**2 - 7*b - 56. Let g(y) = -k(y) + 6*r(y). Find the second derivative of g(c) wrt c.\nAnswer: 45080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60073015579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5409571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -384 - -4?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s + 3. Let b be t(-3). Let c(u) = -u**2 - 7*u - 1. Let v be c(b). Solve 2*d - 8 = -2*h, -h - 13 = -v*d + h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1388 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of t**4\/72 - 2*t**3\/9 + t**2 + 101*t. Factor l(g).\nAnswer: (g - 6)*(g - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/12)\/((-84)\/98)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v - 11. Give r(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 8:22 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202067 is divided by 18364?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eit when three letters picked without replacement from tteoeeowettffifioofe?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 - 36 + u**2 - 26 + 95.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 246327*c + 329. Let k(t) = -3004*t - 4. Calculate 4*i(p) + 329*k(p).\nAnswer: -3008*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4862570, -4862567, -4862564?\nAnswer: -4862561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - 0 - (-20 - 1). Let m = -13 + r. Let o(u) = 29*u**2 - 5*u + 4. Let d be o(2). Calculate the greatest common factor of d and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 5:13 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 704091209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 4, 2*t + 2*t - 56 = 3*m. Let k = 5052 + -5042. Let c(l) = l**3 + l**2 - l + 2. Let f be c(0). Solve -f*j + t = 3*p, k = 4*j - 3*j + 2*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1573851739 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, g: 2, p: 1, x: 1, q: 3, y: 8}. Give prob of picking 2 k and 1 q.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and ((-18)\/7)\/(19\/(-133))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + 32*w**2 - 19*w**2 - 11*w**2 + 4*w. Let c(q) = 2*q**2. Calculate c(a(x)).\nAnswer: 2*x**4 + 16*x**3 + 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2 + sqrt(80))**2 + sqrt(80) + -2 + 1*sqrt(80) - ((-1 + sqrt(80) + 2 + sqrt(80) + 0)**2 + 3).\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 417, 463, 509?\n\"Answer: 46*n + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2428740507.\nAnswer: 3, 109, 127, 233, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 153 + 49 + -39 + -265\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 1965*o + 485*o + 12 + 13956*o - 2. Let t be x(2). Let i = -18122 + t. Round i to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7085627*y**3 - 14170078*y**3 + 7084444*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 700*t**2*v**3 + 647*t**2 + v**4 wrt v.\nAnswer: 2100*t**2*v**2 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 6*t**2 - 4*t - 3. Let o be d(5). Suppose o*v + 5*j - 27 = 2, -4*v + 16 = -4*j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -8  (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 144649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 6 - (-10 - -12 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189546.\nAnswer: 2, 3, 7, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v + 4. What is t(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -240.0314 + 0.0314. Let j = b - -243.7. Sort 1, j, 3 in decreasing order.\nAnswer: j, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-18)\/(-1104)*444\/(-333).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15*1*(-36)\/(-45). Let y(m) = m**3 - 13*m**2 + 12*m + 1. Let o be y(p). Does 13 divide 3 + 0 + 22\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56433555 divided by 6270395.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 246877454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.8444066 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0385 + 50.8385. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - w + 0*w)*(-75*w - 19*w + 8*w)*(0 + 0 + w**2).\nAnswer: -86*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1937569351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 90\/(-78) + 1 - 115\/13. Let v be 1 - m\/(-6) - (-1)\/4. Which is the third biggest value?  (a) v  (b) -0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 112942*o**2 - 350860 wrt o?\nAnswer: 225884*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2346 + 2367. Calculate the smallest common multiple of 177 and b.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-4092.\nAnswer: -8184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 188287\/442 + -5565\/13. Calculate the common denominator of (-309)\/(-12)*(-2)\/6 and n.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 28*g**2 - 61*g + 28. Calculate y(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -d**5\/5 + d**4\/12 - d**3\/3 - d**2\/2 - 7*d. Is l(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*n - 135*n - 74*n.\nAnswer: -276*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 5*n - 31, 0 = 3*i - 2*n - 23 + 7. Find the second derivative of 5*b**2 + 12*b + 2*b - 19*b**i wrt b.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 934 + 2.2984\nAnswer: 936.2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 29458867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -21) + -2 + 2. What is the units digit of (-4)\/(-14) - (-36)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1559 + -7945e?\nAnswer: -7a9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -24 - -15 - (0 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w - 6056 - 1994 = -17*w. Calculate the greatest common factor of w and 1242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(1 + 1 - 1). Let b = a - -7. Let w(v) = v + 1. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 0.4  (c) 1\/54  (d) 2  (e) 2\/3  (f) -7  (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -300644 by -23.\nAnswer: 300644\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 - 2 = 0. Suppose -3*f = -5*o - 7, l*f - 7 - 15 = -o. Let t be 1\/(-3)*(1 + -4). What is the greatest common divisor of f and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 15*r**2. Let l(f) be the third derivative of f**4\/12 + 58*f**3\/3 - f**2 + 1483. Give y(l(j)).\nAnswer: 60*j**2 + 6960*j + 201840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -42. Suppose -1 = 6*l - f. Suppose -3*j - 7*a = -2*a - 39, -l*j + 39 = -a. What is the highest common factor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -68, 171, 572, 1141, 1884?\n\"Answer: f**3 + 75*f**2 + 7*f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 19*x**2 + 282*x - 57. What is s(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 707.\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 975521160?\nAnswer: 2, 3, 5, 2709781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - (0 + 0)) + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**2 - 8*w + 21. Let n be f(-8). Let l = n + 338. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -4, 3931, 0, 0.138, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -50141 or 79\/4?\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - v**2 + 2*v + 1. Let b be ((-2)\/(-6))\/((-2)\/12). Let k be y(b). Suppose k - 3 = -n. What is the highest common divisor of n and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.095724 + -0.095640571. What is u rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c - z + 307 = 0, 5*z = c + 53. Let n = -76 - c. Suppose 18 - 12 = -n*w. Is 2 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {m: 1, w: 2, r: 1, e: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 11:03 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**5\/7 + 19016*m**4\/7 - 38046*m**3\/7 - 57052*m**2\/7 + 76088*m\/7 + 76080\/7 = 0.\nAnswer: -9510, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/k**(-3)*k**6*k**0\/(k**1\/k))**(-43) assuming k is positive.\nAnswer: k**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v = 185*d - 193*d + 28, 2*d + d = 4*v - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 3*f - 2*t = -6, -5*f + t = 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 169 - 169 + 30*h + (2*h - 4*h + 0*h)*(0 - 3 + 2) + 4*h - h - 5*h + (1 - 3 + 0)*(3*h + 3*h - 5*h) + 3*h + 1 - 1.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 15181173269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.0376  (b) -10\/101  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 4*b + 3*m + 7, -8 = 2*b + 2*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 5*k + 32 = 0, 2*q - 160*k = -162*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3*h - 4. Let w(p) = 3*p**3 - p**2 + 2*p + 1. What is w(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3223264 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00029822 to 6 dps.\nAnswer: 0.000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -11. Let s(r) = r**3 + 11*r**2 - 4*r - 5. Let m be s(-11). Suppose 6*b - m = -7*b. Solve 2*k - 2 = b*p + 7, -3*p = -k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001228898 rounded to six decimal places?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3311*s - 28403. Calculate f(9).\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.04 - 0. Let f = -4.04 - u. Let o be (1\/7)\/(2\/6). Put 0.4, f, o in decreasing order.\nAnswer: o, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - l**2 - l - 1. Let q(p) = 2*p**3 + 3*p**2 + p - 7. Let z(w) = 3*i(w) - q(w). Let m = 12 - 5. Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1547843, 1547838, 1547831, 1547822, 1547811, 1547798, 1547783?\nAnswer: 1547766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**5\/60 + z**4\/18 + z**3\/18 - 20*z**2 - 95. Let w(j) be the second derivative of c(j). Factor w(p).\nAnswer: (p + 1)*(3*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 16*i**5\/25 + 6*i**4 + 41*i**3\/15 - 57*i**2\/5 - 63*i\/5 - 62. What is p in x(p) = 0?\nAnswer: -7, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) - (0 + sqrt(275) + -1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six sevenths of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*y**2 - 10 + 10 to the form n*y**2 + d*y + q and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 0 + 0*o + 1\/6*o**4 - 1\/6*o**3 - 1\/3*o**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 6. Let y = m + 3. What is the nearest to -1 in y, 2\/11, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/((-7)\/(-14)). Sort 4, 3, m, -4 in decreasing order.\nAnswer: 4, 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 229962622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 91 - 636\/7. Let y = 6 - 11. Sort y, 3, c, -27.\nAnswer: -27, y, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -289 - -291. Suppose 30 + g*d**2 + 0*d**2 + 199 + 109 + 52*d = 0. What is d?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.41231878 rounded to two dps?\nAnswer: -22.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 bigger than 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -461 + 249. Let v be (2\/(-4) - 0)*i. Suppose -v = -4*l + 50. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-266)\/(-12)) + (-38)\/(-228).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -11*f**2 - 15*f + 8. Let k(t) = -7*t**2 - 10*t + 5. Let z(j) = 8*k(j) - 5*w(j). Determine z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**3\/3 - 862*h**2\/5 - 152*h\/3 + 602\/5 = 0.\nAnswer: -129, -1, 7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4090991 years in months?\nAnswer: 4.9091892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of r**3\/3 + 4*r**2 + 4*r - 40. Determine u(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 13*t**2 - 7*t + 7. Let k(i) be the first derivative of -3*i**3 - 5*i - 122 + 5\/2*i**2. Give -5*b(u) - 7*k(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 85.590891us?\nAnswer: 0.0000000009906353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 698.\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*(2 - (-3)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -66 and 227818.\nAnswer: -15035988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - -5)\/((-3)\/(-39)). Suppose 34100 = -9*r + s*r. Let p = -575 - r. What is p rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 187\/9 + (-12)\/(-54). Let a be 4\/14 - (-57)\/c. Solve -9 = -a*z + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 610, 1240, 1856, 2452, 3022, 3560, 4060?\nAnswer: 4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - n - 2*n**2 - 1 + 3)*(-1 + 0 - 1).\nAnswer: 4*n**2 - 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -5*g**2 - 2*g - 2. Let l(b) = 9*b**2 + 3*b + 4. Let c be (-2)\/10 + 372\/10. Suppose -5*q + 16*q - 352 = 0. Let a = c - q. Determine a*r(h) + 3*l(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 16*r. Let l(x) = 156*x - 2. What is d(l(w))?\nAnswer: 2496*w - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhaha. What is prob of picking 1 a and 3 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 2:48 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 2, n: 4, a: 1, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -72 - -80. Let f(g) = g**2 - 6*g - 3. Give f(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**7\/1260 - 3*o**4 + 78*o**2. Let k(w) be the second derivative of u(w). Let m(r) = -62*r. What is k(m(h))?\nAnswer: -7688*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -57*a**2 + 119*a**2 - 54*a**2. Let q(x) = -2*x**2. Give b(q(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 15 = -d, 32*d = 2*g + 29*d - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -4, -1, -5 in increasing order.\nAnswer: -5, -4, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 8041?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 5:56 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51877807, -51877809, -51877811, -51877813?\nAnswer: -51877815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -9823, -9847, -9879, -9919, -9967?\n\"Answer: -4*f**2 - 12*f - 9807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - f**2 - 1)*(29 - 16 + 17) + (-1 - 2*f + 1)*(-27 + 20*f + 27).\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-152)\/(-36) - 24\/108. Let d(o) be the third derivative of -9*o**2 - 1\/30*o**5 + 0 + 0*o + 0*o**3 - 1\/6*o**k. Find x such that d(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t - 1. Suppose 0 = -3*c + 5 + 1. Suppose -c*m = -4*f - 34, -5*f - 5*m + 2*m - 26 = 0. Let p(h) = -2*h + 3. Give f*q(u) - 3*p(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -276\/565 - -164363\/323745. What is the common denominator of 97\/18 and g?\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12 - 967f?\nAnswer: -966d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9915.19 millimeters in nanometers?\nAnswer: 9915190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 83226.98m in millimeters?\nAnswer: 83226980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 - (-2 + 9) - (-19578 - -19558).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let f be 1\/2 + (-3)\/q. Solve -f*i - i = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17ca (base 14) in base 4?\nAnswer: 1003012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(220)\/((sqrt(11) - sqrt(396)) + sqrt(11)))\/sqrt(10))**2 - (5 + sqrt(6)\/(sqrt(18)\/sqrt(6)))**2).\nAnswer: -223\/8 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**4\/4 - 14*r**3\/3 + 15*r**2\/2 + 4*r - 55. Let k be n(-15). Solve 0 = k*f + 2 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: -114441303 (base 5) to base 7\nAnswer: -4434105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -8*m**2. Let i(v) be the first derivative of -v**3\/3 + 1. Let k = 884 + -883. Determine k*l(z) - 4*i(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4*s - 1950, 4*f - 5*s - 1968 = 2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -11, 0, 1 in descending order.\nAnswer: 1, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -28903  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 394046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-108)*15)\/(15\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0059 - -0.0174. What is f rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2258*g - 2318*g + 2579 = -601 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h - 26*h + 37 = -f, -3*h - 9 = 2*f. Which is the smallest value?  (a) f  (b) -1\/5  (c) -1\/4  (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 11826922 = j. Suppose 2*i = -3*z + j, -4*z + 2*i + 7884600 = i. Let y = 7571151 - z. What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1073720 divided by 10.\nAnswer: -107372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 308, -8, 2, -12, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 g when four letters picked without replacement from {s: 2, g: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from myvvvvdvvvvodoh. What is prob of sequence ydm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3488, -4792, -1474, 8776, 28268, 59312, 104218, 165296?\n\"Answer: 385*s**3 + s**2 - 4002*s + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -234*d**2 - 17*d + 2 wrt d.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 6) + (0 + 13 - (85 + -56)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**4 + 145791*i**3 - 2657277852*i**2 + 14611492955*i - 15938856300 = 0.\nAnswer: 3\/2, 4, 36445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2884586018.00000135 + -2884585693. Let f = -325 + a. Round f to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -166722, -166686, -166676, -166704, -166782, -166922, -167136?\n\"Answer: -2*h**3 - h**2 + 53*h - 166772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 19 + 3*o - 15 to z + q*o and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 6 = -4*f, -2*v + 2*f = -350. What are the prime factors of v?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u + 0*u - 2*u + u - 2. Let b(i) = -i**2 - 3*i + 3. Let m be b(-5). Give g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -7*g + 3. Let z be (-1 - 0)\/(7\/(-56)). Let k(j) = 20*j - 8. Let a be ((-10)\/(-6))\/((-152)\/38 - 41\/(-9)). What is a*k(u) + z*y(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q. Suppose -s + 26 = s - c, q = 2*s - 3*c - 26. Calculate the remainder when 35 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69*v**2 - 6*v - 33*v**2 - 33*v**2 - 1 to the form b*v + y*v**2 + w and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 7*z**2\/2 + 11*z + 1. Let g be i(11). Let p = 50 - 42. What is the highest common divisor of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8613, 8619, 8627, 8637, 8649?\nAnswer: 8663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(6*1*sqrt(2420) + sqrt(2420))**2.\nAnswer: -592900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-3*-2*sqrt(3400))\/(sqrt(2) - (sqrt(144) - sqrt(16))\/sqrt(8) - ((sqrt(2) - (sqrt(56)\/sqrt(4))\/sqrt(7)) + sqrt(2))))**2.\nAnswer: 244800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14341\/15 - -3392\/3. Suppose 4*r = -3*w - 292 - 410, -5*r - 3*w - 876 = 0. Let g = r + i. Put 4, -4, g in increasing order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -6*2*3\/(-18) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2287, 4570, 6849, 9124, 11395, 13662, 15925?\nAnswer: 18184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*-2*sqrt(66))\/((2*sqrt(600) - sqrt(600)) + sqrt(6)))**2*-3.\nAnswer: -192\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, 0.3, 5, -2\/7, -3, 38\/27?\nAnswer: 38\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 52768410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3171*b**6 - 3*b**4 - b**2 + 4791*b?\nAnswer: 380520*b**3 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 42 - 3 - 29 - 10 + 761*j**2 - j as z*j + n + i*j**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8*(0 + (-9)\/12). Let y = -3 - c. Solve y = 4*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -22*s**3 - s**2 - 2*s - 1. Let c be g(-1). Suppose -c = 3*m - 4*m + 4*h, -2*m = h - 17. Solve m = -3*r - 2*k, -r + 5 = -3*k + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -222411 - 4?\nAnswer: -222420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 828\/5 - 166. Which is the fourth biggest value?  (a) 3\/5  (b) 2.2  (c) -3  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4092 - -4148. What is the highest common factor of t and 2940?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 10:18 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r = -223 + 115 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from psofb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 169171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.279418503 to 3 dps.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6328)\/(-70) - (-2)\/(-5). What is the greatest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65208 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: Let o(z) = -z**3 - 12*z**2 - 10*z + 11. Let a be o(-11). Suppose -3*w + 2*u + 18 = -4, 5*w + 2*u - 10 = a. Solve w*i - 12 = -5*j, 0 = -0*j + j - 5*i + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/3 - 350\/(-534). Let v be 4\/(-8) - 514\/1780. Let z = v + k. Which is the closest to -2?  (a) z  (b) 3\/5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g**2 + 5*g + 2. Let d(z) = -z**2 + 2*z + 1. Calculate -7*d(x) + 2*f(x).\nAnswer: 3*x**2 - 4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 4*r**3 - 4*r**2 - 16*r + 8. Let h(f) = 4*f**3 - 5*f**2 - 17*f + 8. Let g = 22 - 32. Let b = g + 15. Let o(d) = b*j(d) - 4*h(d). Factor o(q).\nAnswer: 4*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 smaller than -8457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/5)*u)**(-1\/29)*u**11*u\/(u*u**15) assuming u is positive.\nAnswer: u**(-589\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p + 135. Let i be 14\/(-98) - (-3)\/21. What is the tens digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217243?\nAnswer: 13, 17, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 1)*(4*r + 57*r + 14*r) to u*r + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 56 in 0, 5, 64000?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -2\/21, 173 in decreasing order.\nAnswer: 173, -2\/21, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (75\/(-9))\/(4\/11520). Let d be (-500)\/(-5)*(0 + z). What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j - 95. Let g be n(-33). Let i be (-207)\/(-46) + 2\/g. Solve 4*a + 7 = -z - i, -2*z + 5*a = -28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/3 - 146*y\/3 + 420.\nAnswer: 2*(y - 63)*(y - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {k: 6, y: 4, m: 3, w: 2, t: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 846*h - 25140. Calculate g(31).\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 5*y + 10 - 2 = -0, 3*m = 3*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 429373136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 91 and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 13336593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5971781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (9 - (22 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -328*m**3 + 1 + 16*m - 59*m**4 + 57*m**4 + 336*m**3 + m**2 in the form k*m**3 + g*m**4 + h*m + w + n*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 5. What is the smallest common multiple of 4 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yroxyxyoyq. Give prob of sequence rxy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, s: 2, g: 5, e: 1, w: 2, q: 1}. Give prob of sequence ww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 10. Suppose 13 = -4*t - 3*b - 7, 15 = -3*t + 5*b. Sort o, t, -4.\nAnswer: t, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-90)\/(-75)*30\/(-9). Which is the closest to 0?  (a) 1  (b) 2.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - -2307323902530\nAnswer: 2307323902530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -116 - -174. Suppose 11*l - 41 = y. Calculate the remainder when l is divided by (-2)\/(1*-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(-4))\/b**(2\/5))**(5\/4))**(6\/11) assuming b is positive.\nAnswer: b**(69\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 0*p**5 + 0*p**3 + 0*p**4 - 1\/15*p**6 + 42*p + 0 + 19\/2*p**2. Differentiate z(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 3*s**2 + 1. Let z be -6*-3*2\/(-12). Let n be w(z). Does 36 divide 153 + -16 - 4*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eweeeeewewewec. Give prob of sequence weew.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000115 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 412819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + (-285)\/45 - (105135\/9)\/(-5). What is the highest common factor of m and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128505225 divided by 3.\nAnswer: 42835075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -665 + 153. Let r = 507 + s. Is r 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 101\/14 and -91\/8113134?\nAnswer: 56791938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 707409 is divided by 1012?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3 - 9. Let d(u) = p*u + 2*u - 5*u. Let b(x) = -x**2. Calculate b(d(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 25 + 11. Suppose -4 - 10 = -5*k + 2*c, -5*c = 3*k - 27. Suppose -n = -5*z + 2*z - 2*g, 3*z - 36 = k*g. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -133387c - 29?\nAnswer: -13338a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -6022.64 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g**(-5\/4)*g)*g\/g**(-1\/3)*g*g)**(4\/3))**(-1\/46))**(27\/7) assuming g is positive.\nAnswer: g**(-165\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -185 + 193. Let i be 40\/(-6) - (25\/3 - z). Let c(n) = n**3 + 6*n**2 - 7*n + 3. Calculate c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2 + 3 - w**2 - w - 6*w. Suppose 2*z + 2 + 10 = 0. List the prime factors of m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-122)\/3 + ((-56)\/12)\/(-7). Let m be (-3)\/((10\/p)\/(2\/3)). Suppose 20 = -2*s + m. Which is bigger: 0.6 or s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n. Let q be b(-1). Suppose 0 = q*s + 5 + 1. Let v be (s\/6)\/(4\/(-12)). Solve 3*o - v = 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 11. Let p be q(4). Solve -p*z = n + 2, 0 = -4*z - 2*n - 2*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 292119134 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13254832 - -1.2?\nAnswer: -13254830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -316.2 and -28691.\nAnswer: 9072094.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 273 and 7856082.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -49. Suppose 0*t + t = r. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/12?  (a) 1\/8  (b) 0.4  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 PM and 4:31 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) - sqrt(363)*-4)*-5 + sqrt(363).\nAnswer: -264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16406 - 75684 = 10*n. Let h be -128 + n - (1 - 4\/(-2)). What is h rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 0. Suppose q*n - 1 = 14. Let m(p) = -p**2 - 4 + 4 - p - 3*p + n. Determine m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -11199 - 261?\nAnswer: -1143a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8790.106 nanoseconds?\nAnswer: 0.008790106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 208913777129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*b**3 + 2 + 20863*b**2 + b - 20819*b**2 - 2*b**3.\nAnswer: -53*b**3 + 44*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**5\/10 + 17*b**4\/12 - 7*b**3\/6 + 9*b**2 - 10*b - 3. Let k be g(-9). Let 2\/11*m**2 + 2\/11*m**3 + 0*m + k = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-50))\/((-2)\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**2 - 5094787 + 3*k + 0*k + 5095039 in the form s + f*k + v*k**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -231 - -4669. Suppose -f = 4*r + a, 5540 = -2*r - 3*r - 5*f. Round r to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 5 + (2 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 3*x + 12 - 21, -3*f + 15 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 30*j + 84. Let c be x(-29). Let h = c - 2149\/19. Put -3, 0.3, h, 29 in decreasing order.\nAnswer: 29, 0.3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/9)\/(-1))\/((-5)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -4. Let f = 0 - y. Let j = -1117 + 12289\/11. Do j and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -68 + 22*l - 11*l - 62 + 16*l + 131 as c*l + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 920 and 1035.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/54 + (-26)\/(-42). Which is smaller: o or 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13950, 13942, 13932, 13920, 13906, 13890, 13872?\n\"Answer: -y**2 - 5*y + 13956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111 + 100000111001?\nAnswer: 100000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17424 = -1955*u + 1889*u. What is the smallest common multiple of 3663 and u?\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 5712.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3346095*c**3*g**2 + 8545400*c**2*g**2 wrt c?\nAnswer: -20076570*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 o when three letters picked without replacement from udoouodndododdoddid?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 315882 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1.1, 5, 0.098, 375, 2\/59.\nAnswer: -1.1, 2\/59, 0.098, 2, 5, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3\/4 + 732*s**2 + 20697*s\/4 - 26541\/2.\nAnswer: -3*(s - 983)*(s - 2)*(s + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p - 3*k = 19*p - 45, 0 = -p - 2*k + 15. Let x be (p - 5)\/(-3 - 87\/(-27)). Solve -4*r = 49 - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 34*c**2 - 1636*c - 10438. Calculate t(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100088, -4, -2 in ascending order.\nAnswer: -100088, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 16) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110264 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*u + 955*u**2 - 949*u**2 - 3*u**4 + 1159*u**6 + 3*u**4 wrt u?\nAnswer: 139080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 9*i - 46. Let k be l(-4). Which is the nearest to 0.1?  (a) 13  (b) k  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, q: 6, x: 3, w: 2, t: 5}. What is prob of picking 1 x, 1 w, and 1 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - s**2 - s. Let q(m) = 5*m**3 + 13*m**2 + 13*m - 3. Let a(b) = -6*k(b) - q(b). What is the remainder when 19 is divided by a(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2131?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -748, -1, -28, -5, 2 in descending order.\nAnswer: 4, 2, 1, -1, -5, -28, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1625414 and 61664404?\nAnswer: 61664404.1625414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2001200022210 (base 3) to base 7\nAnswer: 12213054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18249951 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bccbcccb. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4431 + -301?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 69 = -5. Suppose 4*p = t*p - 8. Find the third derivative of -4*n**p + 107*n**5 + 4*n**6 + n**6 - 107*n**5 wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43054 and 5852.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 50  (b) 3  (c) -4  (d) 1  (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2204470 - 3?\nAnswer: 2204466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 + 331681. Let o(x) = 2*x**2. Calculate b(o(g)).\nAnswer: -4*g**4 + 331681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1307, -1292, -1267, -1226, -1163, -1072?\n\"Answer: g**3 - g**2 + 11*g - 1318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39 - -3 - 8) + 609 + -663?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.35724 rounded to 1 decimal place?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 + 59 - (-3 + 5 + (1 - -3))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 5*h - 25 = 0. Suppose -h*b = -b - 12. Solve -b*r + 4 = -5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/7))**(-14)*k*k\/((k**(2\/7)*k)\/k*k*k)*k**(-4\/5) assuming k is positive.\nAnswer: k**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ceacvccvaeeaacacec. What is prob of picking 1 e and 1 v?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 58386 + 292914. What is d rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 2, 4*z - z = -2*r + 10. Let l(u) = 168*u**3 + u**2 - u + 2. Let t be l(r). Suppose o - 5*d - t = 0, -o + 1926 = -4*d + 579. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137308 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116721 is divided by 38896.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2353525.\nAnswer: 5, 47, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*g + 194 - 149*g - 194)*(g**3 + g**3 + 0*g**3) to the form p + u*g**4 + b*g + a*g**3 + f*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (14\/33)\/((-328)\/(-902))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from krkrkkrkrrrkkrrkkrkk. Give prob of sequence kk.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -3\/58?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123602481 is divided by 41200808?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0, -2\/17, -1, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 7 + 17. Suppose 5*q = -0*b + b - 23, 4*b + x*q = 26. Let o(n) = -n + 1. Let h be o(-7). Calculate the greatest common factor of b and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 1 = -5*q, -5*g - 3*q + 6 = 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1544479343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 7*m - 1. Suppose 3*g - 37 + 49 = 0. Let u be h(g). What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 67 in -2\/11, -0.05, 1, 11, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27831?\nAnswer: 3, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14742 and 6586866.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 1. Let k be n(-1). Let p = -638\/5 + 128. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5619560.71 to the nearest 100.\nAnswer: 5619600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -8*z + 77. What is a(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 45600000 = -4*i, 47904438 - 2304438 = 5*v - 3*i. What is v rounded to the nearest 100000?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3788?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 + 25. What is the tens digit of (-8 - 2)\/((-1)\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 105, 236, 367, 498?\n\"Answer: 131*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = -5*m + 30, 3*m - 213 = 3*v - 225 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13339039, -13339038, -13339037, -13339036?\nAnswer: -13339035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1808.61 + 1800. Let n = 4.39 - l. What is the smallest value in n, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 - 6291. Let c(u) = -223*u - 6. What is t(c(o))?\nAnswer: 99458*o**2 + 5352*o - 6219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 9*s - 6*s. Let y be 2*(-2 + (s - -1)). Is (-129)\/(-21) - 4\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6519, -13030, -19529, -26010, -32467, -38894, -45285, -51634?\nAnswer: -57935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6638 is divided by 1440?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4*f + 4 = -s, 2*f = 3*s + 7. Let d(l) = 1 + 2*l - 3*l - s. Let h(b) = -4*b**2. Calculate d(h(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -110 + 378?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 5, -4 in descending order.\nAnswer: 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1918, -22312, -62694, -119228?\nAnswer: -191914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hhjjnyjhoouh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.3  (b) 1  (c) -4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = -2*o + 6*o - 4, -2 = 3*n - 2*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 69344435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 239. Let f be x(-20). Suppose 2*o - 3*k = f, -339 = 3*o - 6*o + k. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 2 - 1)*(2 + 1 - 2)*(0 - 5 + 3)*(4*j - j - j) in the form z*j + o and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 53*c - 52*c + 299, 5*c = -2*x + 269. Let d = x + -129. What is the greatest common divisor of d and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t = -4*p - 14*t - 22, -3*t = -3*p - 18. Let l(m) be the first derivative of -2*m**2 - 28*m + 5. What is the units digit of l(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 5:41 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4182, -4177, -4172?\n\"Answer: 5*a - 4187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*y + 166 = 81*y. Which is the second smallest value?  (a) 3\/97  (b) -0.3  (c) 5  (d) -3  (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*sqrt(121)*-2)\/((sqrt(44)\/sqrt(16) - sqrt(11)) + sqrt(11)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -3*h**3 + 228*h**2 - 4047*h + 3822 = 0.\nAnswer: 1, 26, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210210102111 + -1?\nAnswer: -210210102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r + 357 + 2953*r**2 + 111 + 2951*r**2 - 5905*r**2 = 0. What is r?\nAnswer: -36, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y**2 + 239*y - 94. Determine w(47).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 4\/5, -2\/5, -3, -749?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - -2. Let v be (0 - l)*1\/(-1). Find the third derivative of -2*z**4 - 2*z**4 - 3*z**2 + v*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03*10.7.\nAnswer: 0.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 19*d = 15*d + 11764, 0 = -2*v - 5*d + 5870. List the prime factors of v.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22.9999963 - -23. Round w to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 36*v. Let y(f) = -899*f. Give -124*n(x) - 5*y(x).\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 101, 401, 901, 1601, 2501, 3601?\nAnswer: 4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6689 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1+-111.8\nAnswer: -112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + (-16)\/2)\/1. Let u(f) = f**3 + 4*f**2 - 5*f + 6. Let w be u(n). Solve -2*k - 10 = -2*c + w*c, k = -4*c - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -121*m + 128. Let h be j(37). Let u = 6152 + h. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (18\/31 + 2)*8\/(-500). Let r = -69209\/106950 + m. Let p = r + 1\/46. Is p less than or equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-85)\/10 + 9)\/((-1)\/(-330)). Let b = 138 + -108. Calculate the greatest common factor of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*x**2 - 5074*x\/3 - 53116\/3.\nAnswer: -2*(x + 271)*(9*x + 98)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 7*y. Let g be i(0). Suppose -5*t + t - 4*q = g, -5*t + 12 = 2*q. Suppose 4*j = 2*h - 260, -3*h - t*j + 0*j + 420 = 0. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -p + 20, -2*p = -5*b - 100 + 62 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 10918, -1, 4 in descending order.\nAnswer: 10918, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {t: 9, a: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 18*t + 92. Let r be h(-5). Suppose -298 - 96 = -r*c. List the prime factors of c.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 4*u + 45, -2*c = -5*u - 1466. What are the prime factors of c?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {o: 1, g: 1, x: 1, q: 2, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -u**5 + 3*u**4 + 652*u**2 - 793*u + 70?\nAnswer: -20*u**3 + 36*u**2 + 1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -407 + -30?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7114460657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) -2\/3  (c) -0.023  (d) -2\/961\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61723289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppxbxprbpb. What is prob of sequence rx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 5*n**2 - 2*n. Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1500165?\nAnswer: 3, 5, 17, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/176562 and 94\/43275?\nAnswer: 4414050","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -259*i - 74*i + 176 + 157 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*x + 18*x - 36*x - 428*x**2 to j*x + d + r*x**2 and give r.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*r + 79*r + 227*r - 139*r.\nAnswer: 470*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2732033 (base 8) in base 14?\nAnswer: 15d73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74 + 76. Find the third derivative of -y*r**2 + 4*r**5 + 21*r**5 + 4*r**2 - 3*r**2 wrt r.\nAnswer: 1500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6727836 and 4.\nAnswer: 6727836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**4 + 0*m**4 - m**4 + (0*m**4 - 3*m**4 + 5*m**4)*(-2 - 1 + 2) + 21*m**4 - 9 + 9 as h*m**2 + g*m + b*m**3 + j*m**4 + p and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -5*v**2 + 53*v + 25. Let p be a(11). Let l(g) = 6*g - 2 + 219*g**p + 225*g**3 + 4*g**2 - 445*g**3. Let s be (-2 - 5\/(-2))*10. Determine l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*y**2 + 0 - 1\/3*y**4 - 31\/3*y - 11*y**3 = 0 for y.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.13511 - -0.1342971. Round g to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6708 + 6707.9. Let w = 148\/5 + -29. Let y be 22\/(-18) + (1 - 0). Which is the closest to h?  (a) -5  (b) w  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zooo when four letters picked without replacement from {z: 2, o: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 192119858 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 23, 48, 75, 104, 135, 168?\n\"Answer: r**2 + 22*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 6. Let v(a) = a**2 - 7*a - 5. Let r be v(7). Let i be q(r). Suppose p = -2*p + 2*d + 16, i = 3*p + d. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7180 = 4*h - 5*w, 5*w + 2965 = h + 1170. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*q = -29*q, g + q - 38 = 3*g - q for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -147 divided by -147?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 + 0 + 20 - 5 + 9261*o to the form x + k*o and give k.\nAnswer: 9261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 154 + -1 + 50 + (-61 - -29 - 40).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2311 + 5736. List the prime factors of f.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 7, 44 = 4*v - 2*w + 6*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1796.1 - 1796. Sort q, 2, 468.\nAnswer: q, 2, 468","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 4*y. Let g be u(-5). Let o be (-1)\/(1 - 0) + (-7 - -9). Solve 5*k = -2*a + o, g*k = -3*a - 5 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**2 + 2*t**2 + 12642898 - 12642899 + 1637*t to b*t + p + c*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 11, o: 6, k: 1, z: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 39390318 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/((l**(-7\/3)\/l)\/l*l*l*l)))\/l**(-34)*l**(-1\/22)\/l*l\/l**(-3\/23) assuming l is positive.\nAnswer: l**(49717\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/17232 and -19\/3791040.\nAnswer: 3791040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -r**5\/3 + 4*r**4\/3 - 12*r**2 + 16. Let q(d) be the second derivative of h(d). Find the second derivative of q(g) wrt g.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6446 or 13?\nAnswer: 6446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 1:45 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6000) - (sqrt(6000)*-1 - sqrt(6000)))\/sqrt(12).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*i - 47*i = -420. Let k(o) = 2*o**3 + 6*o**2 - 9*o + 1. Let p be k(-4). Sort 0, i, p in descending order.\nAnswer: i, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -500 - -542 - (23 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001005100048 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/(-72))\/((-885)\/944*(-6)\/(-15))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6935.65831 rounded to 1 dp?\nAnswer: 6935.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 9:22 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-19)\/38*24\/3. Let d(w) = 30*w**2 - 10*w - 4. Let q(a) = -32*a**2 + 10*a + 4. Let h(b) = c*d(b) - 3*q(b). What is u in h(u) = 0?\nAnswer: -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeeejeeej. Give prob of sequence jj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 6*b + 24. Let g be u(-4). Suppose -h = -2*o + 163 + 233, h = g. What is the remainder when (2\/(-2))\/((-18)\/o) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 6:30 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 926, 927, 928, 929, 930?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d**3 + 375*d**2 + 477*d - 191. Determine t(95).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(12\/18)\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of (-27)\/(-45) - (4 + 41292\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21594?\nAnswer: 2, 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 735 is divided by 234.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 4*v - 1. Suppose -2*k + 5*w + 152 = 0, 4*k - 5*w + 3*w - 336 = 0. Let d = 81 - k. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c + 4. Let u be l(-4). Let j be ((-3)\/15 + u)*-5. Let k(z) = -37000*z**3 - z**2 + z. Let a be k(j). Round a to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-58)\/7*2520\/(-720)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4432845 (base 10) to base 8.\nAnswer: 20721715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/25)\/(78\/260).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y*y*y*y**5)\/y)*y)\/y)\/y*y**(-24)*(y*y\/(y\/(y\/(y*y**12))))\/(y**12*y) assuming y is positive.\nAnswer: y**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (24\/9)\/2*(-1350000)\/5. Round t to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*f**3 + 1067*f**2 + 1061*f**2 + 1071*f**2 - 12*f + 0*f**4 - 6 + 3*f**4 - 3200*f**2 as n*f**3 + v*f**2 + z*f**4 + d + t*f and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1)*q*q)**40*(q\/(q*q**0))**(-46))\/((q*q**(2\/5))\/q**0*(q*q**(2\/7)*q*q)**(-2\/71)) assuming q is positive.\nAnswer: q**(96151\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -f**5\/12 - 17*f**2. Let y(b) = 1 + 10150*b - 10102*b - 1. Determine s(y(w)).\nAnswer: -11520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that z**3 + 5*z**2 - 14*z = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 373438 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 242568 divided by -20214.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2898449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**8\/20160 - c**6\/720 + c**5\/30 + 4*c**2. Let q(b) be the third derivative of o(b). Let q(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u + u + u + 4*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g*g**(-7)*g)*g*g)\/g**(-9))**(-17\/6))**(-19\/6) assuming g is positive.\nAnswer: g**(5491\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3 - 3 + 7 - 3. Let t(x) = x - 5. Let q(w) = 7*d(w) - 3*t(w). What are the prime factors of q(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 565*u + 10. Let n be f(1). Suppose -2*s - 3*s = -n. What is the remainder when s is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 1 - 4 = 0, -3*w = -3*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 2804950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*c*d*h + 14012*c*d + 198*h wrt h.\nAnswer: 8*c*d + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.5. Let u = 3.95 + -3.9. Let q = u + 4.95. Which is the nearest to -0.1?  (a) g  (b) 4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = g, 4*c = 2*g - 0*g - 6. What is the fourth biggest value in -5, c, 1\/7, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 4) + (3 - 1) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50342848 a multiple of 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, b: 7, n: 2, s: 1, g: 1}. What is prob of picking 1 n and 1 s?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35158736.\nAnswer: 2, 2197421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 53266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, o: 3, y: 3, s: 2}. Give prob of picking 1 o and 3 p.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2)*(g - 2 + 2)*(5*g**4 + g**4 - 5*g**4) + (6 - 3 - 2)*(-3*g**5 - 4*g**4 + 4*g**4).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 99984\/7 or 14283?\nAnswer: 99984\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 2*w - 3. Let j be z(2). Let i(t) = t - 14. Let p be i(j). Let c = p - -17. Solve 2*x + 4 = 4*s - 2, 4*x = -c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1656.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-1))\/(138\/92).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r + 6. Let d be o(5). Let v = 23 - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 3*r - 5, -2*p + 0*r = -2*r - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*p**2 + 20*p**2 - 52*p**2 - 177*p**2 - 1 - 101*p**2 + p in the form y + q*p**2 + t*p and give q.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*w + 15 = -11*w. Suppose -5*d + w = -4*d. Suppose k + d = x + 4*k, 63 = 5*x + 3*k. Calculate the remainder when 27 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 5 - 4)*(2*i - 3*i + 0*i) - 1 + i + 1)*(-49 + 15839*i + 35 - 16328*i).\nAnswer: -1467*i**2 - 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + j + 63, -j + 124 = -5*q + 11. Let a = 24 + q. Suppose -5*n = -4*p - 9, a*n + 7 - 33 = -4*p. What is the remainder when 18 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 11*g**2 + g - 13. Let a be k(1). Solve 33*o + a*o = -297 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 8:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/6, 0.5, 2\/11, 173?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 1:08 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(-3*sqrt(4)))**2 + sqrt(153)\/(-2*sqrt(9)).\nAnswer: -sqrt(17)\/2 + 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2466564481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 21 = 144. Calculate the least common multiple of 7 and v.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 510 and 8116310?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.6542829 to two dps.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3)*(-4 + 2*s + 4)*(3*s - 7*s + s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16830057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**(1\/4))\/g*g)\/g)**(-39))**21*(g**(-1))**(-5\/8)*g**4\/(g*g**(-4)) assuming g is positive.\nAnswer: g**(-1577\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*z - 2 = 71*z. What are the prime factors of (z\/6)\/((-5)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**3\/4 - 1083*r**2\/2 - 368403*r\/4 + 2064615 = 0. What is r?\nAnswer: -371, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -73, -38, 65, 260?\n\"Answer: 4*g**3 - 2*g**2 - 31*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-306)\/(-12))\/17*(-16)\/(2 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -16. Suppose -35*m = -59*m + 48. Solve y*n + 8 = -3*x, -m*n - 4 = -4*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4674 * -1458\nAnswer: 6814692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -21*b. Let k(x) = 2990499*x. Determine d(k(w)).\nAnswer: -62800479*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.97 - -0.03. Let k = 2 + -1.84. Let x = 0.06 - k. Which is the second smallest value?  (a) r  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5ad4b - -9?\nAnswer: -5ad42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -436*y + 435*y + 2*l + 4491 = 0, 0 = 2*l - 2. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3907 + 11046. List the prime factors of l.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) -313  (c) -255.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14806523?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 11:51 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -1280  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12416334631 take away 51.3?\nAnswer: 12416334579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 9*c - 4. Let m be h(9). Let f be (-2)\/6*(-10 + 1). Let i(x) = 6*x - x + 0*x + 4 - f*x. Determine i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 97*d**4 - 68?\nAnswer: 388*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 8 = 5*z - 5, -5*z - 5 = 5*w. Let m(f) = 0 + 110*f - 2 - 111*f. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 220 = 5*z - 0*z, 2*q - 220 = 3*z. Suppose a - q = p, 0 = a + a - p - 215. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12069*q + 11630 - 11630.\nAnswer: -12069*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13334029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -151402021 (base 6) in base 4?\nAnswer: -30002313331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -408804, -817624, -1226444, -1635264, -2044084, -2452904?\n\"Answer: -408820*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -154 or -1396\/9?\nAnswer: -1396\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/51 and 37\/357.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.13816823253117 - -0.2.\nAnswer: 0.06183176746883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/26741 and -58\/22627.\nAnswer: 294151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgv when three letters picked without replacement from gwvgjgv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43\/1596313 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -129173 (base 10) in base 6?\nAnswer: -2434005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 10:54 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24*180\/(-17280))\/((-2)\/((-16)\/(-14)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 2*h + 7 + 3, 25 = 5*d - h. Let x(l) = 3*l - 12. Let r be x(5). Suppose k - r*b + 10 = 0, -2*k = 3*k - 2*b - 15. Solve k*n + d + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18531 divided by -3\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.41140775 to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.209 - -266.209. Let d = 106 - y. Let t = -160.67 - d. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t = 11 + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (235\/10)\/((-2)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/1*(-8)\/10. Let x(a) = 2*a - 32. Let t be x(18). Factor -5*u**5 + 14*u**t - 6*u**3 + 2*u**5 - 5*u**h.\nAnswer: -3*u**3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2325 + -271.6325. What is u rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16463 is divided by 232.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - -1*(-1 - -4). Suppose 444 = 26*q - 206. Let b = -6 - -11. Solve 4*f = v + j, -q = -b*v - 0*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63.5981103+21.4\nAnswer: 84.9981103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -130, -245, -360, -475, -590?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 + 12 = -q. Suppose -k + 4*k = -q. Let p be (-4)\/k*9\/24. Which is smaller: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 - 8*t + 8. Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 4*r + 6. Give f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/117072 and -47\/9120.\nAnswer: 22243680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 15*u + 69. Let p be h(-4). Solve -6*j + 3*j = -p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -65  (b) -1\/2  (c) 2  (d) 4  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/59?  (a) 167\/28  (b) -9  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3914 and 4594637.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 5*n**3 - 20 - 15 + 57.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 35734457 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/109606 and 113\/28?\nAnswer: 219212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94795 + 4651 = -16*f. List the prime factors of f.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8932550*c**6*x + 8*c**2*x - 7126*c**2 + 4*c wrt c.\nAnswer: 1071906000*c**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 2*f - 156. Calculate the greatest common divisor of f and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 474509581*i - 229534005 wrt i?\nAnswer: 474509581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32445*x + 7 = -5*y + 32446*x, x = -3*y - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of c**4\/3 + 8*c**3\/3 + 6*c**2 + 33*c. Factor r(v).\nAnswer: 4*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.08 - -0.02. Let k = 0.3 - f. Let c(l) = l**2 + 5*l + 2. Let m be c(-5). Sort -2\/7, k, m in decreasing order.\nAnswer: m, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**4 - 42*a**3 - 2*a + 31*a**3 + a + 8*a as j*a + o*a**2 + x*a**3 + t*a**4 + i and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/24107931 and 16\/73455.\nAnswer: 120539655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -4570 and -27419\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -84 + 3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2882 - 367.88.\nAnswer: -3249.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -8*y - 97. Sort -5, 2, 1, y in decreasing order.\nAnswer: 2, 1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 12, j: 1}. Give prob of picking 2 v.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + -0.045.\nAnswer: -32.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, f: 2, j: 2, k: 1}. Give prob of sequence sj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -827*k - 1686849 - 1686852 + 3373701.\nAnswer: -827*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*t**2 + 24 + 38*t**2 + 35*t**2 + 24 - 102*t**2 - 38.\nAnswer: 9*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -i**3 + 3*i**2 + 8*i + 1862. Let q(u) = u**2 - u - 1. Suppose -12 = -0*k - 2*k. Calculate k*q(z) + g(z).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.07 - -0.27. Which is the nearest to 1\/7?  (a) -5  (b) x  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*g**3 + 2*g**3 + 5*g**3 + (0*g + g - 4*g)*(1 + 2 - 1)*(-1 + 2*g**2 + 1).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4516060283?\nAnswer: 7, 47, 257, 53411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 9712*a + 126283. Determine g(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhpihhhihihhihii. What is prob of sequence hi?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i + 89*n + 86, -17*n - 60*n = i - 75*n + 2 + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + sqrt(425)*-1 - (sqrt(68)\/sqrt(4)*2)**2) + (sqrt(102) - (sqrt(102) + sqrt(102)*-2 + sqrt(102))*2 - sqrt(102))\/sqrt(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1035460 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-3)*4\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 791265627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 47 = 6*n - 2*n, -3*h = -5*n - 43. Let w = 573 + -532. Calculate the remainder when w is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of -2055*o**4\/8 - 6275*o**3\/6 + 6786*o**2. What is the derivative of h(q) wrt q?\nAnswer: -6165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of b**4\/4 - 11*b**3\/3 + 7*b**2 - 6*b - 2. Is c(10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a - 4*a + 4*a + (3*a - a + 0*a)*(4 - 3 - 2) - 10*a + 0 + 0 - 3*a + 2 - 2.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -12*o - 9. Let c be p(-2). Suppose -3*g + 2*u + c = -u, 2*g - 3*u - 10 = 0. Find the third derivative of 28*t**2 - 3 + 3 - 84*t**5 + 60*t**g wrt t.\nAnswer: -1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/6 + 2)\/((-2)\/12). Is (38545\/x)\/(-5) + (-4)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 10*m**2 - 11*m - 4. Give l(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, -7, 7, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(18)\/sqrt(36))*-6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307146193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3995 + -1842. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -217842050*j**3 + 318729520 wrt j.\nAnswer: -653526150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35bc (base 13) to base 10.\nAnswer: -7591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1328\/7425 - -2\/675. Let p = 789 - 793. Which is the closest to -1?  (a) p  (b) -2\/7  (c) 1  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-1\/22))**(7\/4))**(1\/44))**30 assuming h is positive.\nAnswer: h**(-105\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14\/9  (b) 3\/10  (c) 0.1  (d) -7  (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47\/4 + -1. Let r be 7\/(-2)*(-434)\/(-4). Let p = r + 386. Calculate the common denominator of p and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2140 = -10*j + 47260. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (2\/(-2) + (29 - 19)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7008 - -70139\/10. Find the common denominator of ((-2)\/(-44))\/((-1)\/(-42)) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o - o + 21*o - 127092 = 0. Is o a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/(-8)*4\/(-3). Let m be q\/(5*(-8)\/(-20)). Let d be (-1)\/(-1*m\/79). What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2002*l = 4*y + 2006*l + 144, 68 = -3*y + 5*l for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -672, 27, -1, 3, -3 in descending order.\nAnswer: 27, 3, 0, -1, -3, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4138.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 185 - -135. Let f = 89 + c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 51*l**3 - 31*l**3 + 43*l**3 + (-2*l + 9*l - 2*l)*(-2*l**2 - 4*l**2 + 2*l**2).\nAnswer: 43*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a199064 + 10?\nAnswer: 2a199074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 17531870 a multiple of 3482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277*b - 279*b + m + 59 = 0, -3*b + 71 = 2*m. Solve -77 = b*o - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/364 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*h + 8*h. Let n = h + 21. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-8) + (-567)\/(-108). Solve 3*k - x*l - 12 = 7, -4*k + 2*l = -16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -16*b + 191. Let t be (-132)\/3*-2*(-6)\/(-48). Let z be w(t). Solve -3*i - a = z, -4*a + 1 - 13 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*x**2 - 4*x**3 + 9*x**2 - 2 + 10*x**2 - 32*x**2 to j*x**2 + s*x + k + m*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 10:50 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 262 and 304.\nAnswer: 39824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4599002975?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + v + 56, -4*c - v = -2*c - 28. Suppose 13 = 5*h + 2*w, -3*h - 3*w = 2*w - 4. Let j be 4*(9\/c)\/h. Solve 2*i + j = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 53. Let j be p(0). Let f be (-2)\/(90\/(-88) + 1). Let q = f + j. What is the common denominator of q and 48\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = -10*n - 296. Let t = -76 + 172. Let p = t + n. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -7*p**3\/3 + 14. Let z(x) = 2*x. Give z(a(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {x: 4, m: 4, f: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -6*r**2 + 608*r + 499. Let d(u) = -11*u**2 + 1214*u + 998. Let p(q) = 4*d(q) - 7*s(q). Differentiate p(n) wrt n.\nAnswer: -4*n + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201918 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/12233001 and 67\/118767.\nAnswer: 12233001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2562 divided by 14?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u**2. Let j(n) be the third derivative of -19*n**4\/24 - 7*n**2. Determine j(z(v)).\nAnswer: -76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.11 + -0.1. Let l = o - 0.21. Which is the second biggest value?  (a) -0.1  (b) -1\/9  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/7931*2)\/(7\/((-77)\/(-1)))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m**2 + 4. Let i(b) = 4*b**2 - 2. Let v(r) = -5*i(r) - 2*u(r). Let x(w) = 7*w**2 - 3. Let q(y) = -4*v(y) - 3*x(y). Differentiate q(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**2 - 2*a + 1. Let t(m) = -m**2 + 44*m - 83. Let q be t(42). Calculate l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6582, -11223, -13952, -14775, -13698, -10727, -5868, 873?\nAnswer: 9490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98, -122, -928, -2614, -5474, -9802, -15892, -24038?\nAnswer: -34534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*r - 16*r - 8. Let b be -20*(r\/(-6) + 130\/(-75)). Which is smaller: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3790378349 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-30)*-12*5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -440  (b) 0.5  (c) -4  (d) 2\/17  (e) -0.0697  (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*m + 5 = 0, 0 = g - m - 4*m + 20. Suppose -2*h = 7 - 23. Solve -2*k - h = -g*r, 2*r - 3 - 2 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4231 + 25?\nAnswer: -4206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 6:58 AM?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 16 = 4*v. Which is greater: -1\/25 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + t + 3*t - 82 = 0, -14*t = 3*k + 32. Calculate the greatest common divisor of 1738 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*r - 10, -3*h - 4*r - 10 = 14. Let k be 165\/35 + -2 + h\/(-14). Suppose -4*u = -2*u + k*u. Solve -g + 2*g - 1 = u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-6*(sqrt(55)\/(-6*(sqrt(5) + sqrt(35)\/sqrt(7)) - sqrt(5)) + sqrt(33)\/(sqrt(6)\/sqrt(98))) + 1).\nAnswer: -1620*sqrt(11)\/13 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -5*y**2\/2 - 19*y + 6. Let t be z(-4). Solve -t = u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -o - 6. Suppose 0 = -19*r + 551 + 57. Calculate the remainder when r is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1902.9 - -1912.283. What is z rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 2*l - 37365, -2*s + l + 13937 = -1018. What are the prime factors of s?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1076868118, -2153736235, -3230604352, -4307472469?\n\"Answer: -1076868117*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.65 in -1, 1, 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/30 - (-62)\/(-15). Let b be (-592)\/(-72) - d\/(-18). Is (-3)\/(-12) - (-3254)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 143933 - 143932.9894909. Round t to 4 decimal places.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) -3\/40  (c) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -196*r**3 - 19*r**2 + 128*r + 147. Calculate y(-1).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -512, -3.8, 0, -5, 4\/9, 2\/7 in increasing order.\nAnswer: -512, -5, -3.8, 0, 2\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1297, 1298, 1299?\n\"Answer: s + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-118)\/2 - 3*-1. Let x be -1*2 + u\/(-10). Factor -4\/5 - x*i - 14\/5*i**2.\nAnswer: -2*(i + 1)*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 361185, 360998, 360811, 360624, 360437, 360250?\nAnswer: 360063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 3*p**2 - p**2 - 12 + 19*p**2.\nAnswer: 21*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 7*l**2 - 3*l + 9. Determine q(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a + 1. Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/((-315)\/(-150))*2\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1735645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 212945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert f673 (base 16) to base 6.\nAnswer: 1204031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -99, -4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -13 + z**2 + 11 + 5*z - 7*z. Let i(p) = -p - 1. What is 2*c(y) - 5*i(y)?\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(2) + 0)*-4.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7201, -7199, -7195, -7189, -7181, -7171?\nAnswer: -7159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*i - 60, 5*g + 0*g + 75 = 5*i. Let f = -11 - g. Suppose 5*j = -4*a - a - 45, 5*j - 5*a = -5. What is the nearest to j in f, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(21\/318248*-4). Suppose 31867 - l = -19*n. What is n rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4\/41 - 217\/123. Let z = 1.99 - -0.01. Let u = 2\/29 - -36\/319. Which is the second smallest value?  (a) j  (b) z  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11698 is divided by 1799.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + 0. Suppose -2*q = -m + 2*m - 7, -q - z = -2*m. Suppose 0 = -m*x + 4*s + 6, 0 = 2*x - 0*x + 5*s - 4. Solve x*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (4 + (sqrt(17) + 1)*-4)**2.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from unuoznc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -3*t + 5*v + 46, -1253412*v + 1253407*v = 2*t + 14 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.182728 litres?\nAnswer: 8182.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1834 a factor of 44502241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 6*b + 1. Suppose 3*w - 22 = 2*i, i + 2*i + w + 11 = 0. Let p(u) = u**2 + 4*u + 5. Calculate the remainder when d(3) is divided by p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 divided by -16?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3852?  (a) 0.6698  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - -40451?\nAnswer: 40460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.09  (b) 5  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21)\/14*6\/9 + 1. Which is the closest to 5?  (a) -9\/7  (b) q  (c) -2  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 312379 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22022202222 + -11?\nAnswer: 22022202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 19 = -7. Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of 5 - 5*r - 7\/3*r**3 - 1\/4*r**4 - 7\/2*r**2. Determine x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 28*1 - (-3 + 4). Let x = z + -14. What is the highest common factor of 91 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - x + 8 = x, -2*x + 0 = -5 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-27))\/(82\/2214).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34770?\nAnswer: 2, 3, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1312.0000018968 - 1312. Round o to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-6))\/(1\/(-68)). Let q = s - -37. Solve q*x - 4*i - 1 = 0, -4*x - 26 = 2*i + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -84598 equal to -85295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7306512mm to kilometers.\nAnswer: 0.0000007306512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-5*((sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))) + 2 - sqrt(2448) - sqrt(2448))*-6.\nAnswer: -1080*sqrt(17) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 6. Suppose -5*d + 4*c - 371 = 0, -4*d - m*c - 221 - 81 = 0. Let q be (-4)\/6*d\/10. Solve -q*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3583692.514841474861 + 0.514825474861. Let r = 3583657 + o. Let f = r - -35. What is f rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -1 + c**2 + 3 - 6*c + 3. Suppose 30 = 4*o + o. What is the units digit of g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 578760748 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-51)\/12 - -4)*-12. Solve 4*q + 22 = -2*c, -2*q = -c - w*q - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 28*u**2 + 128*u + 746. Let f(d) = -4*d**3 - 63*d**2 + 256*d + 1491. Let z(q) = 4*f(q) - 9*n(q). Differentiate z(v) with respect to v.\nAnswer: -21*v**2 - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = j + 8. Let v(b) be the first derivative of b**4\/4 + 4*b**3\/3 - b**2 - 6*b + 1. Let m be v(-4). Solve 2*n - 3*s - 14 = 0, m*n - s - j = -3*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 9*y**5\/10 + 4*y**3\/3 + 11*y. Find the second derivative of l(s) wrt s.\nAnswer: 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3484, 3489, 3508, 3547, 3612, 3709, 3844, 4023?\n\"Answer: o**3 + o**2 - 5*o + 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-232)\/(-319)*(-33)\/(-18))\/(12\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 + o**2 - 6*o - 2*o**2 + 11*o.\nAnswer: -4*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 4*a = -113, 0 = 3*z + 1551606*a - 1551603*a + 120 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2393*r**2 + 2351*r**2 - 7153*r**2 + 2314*r**2.\nAnswer: -95*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppappa. Give prob of picking 1 p and 1 a.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 200.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69 - 275 - 240)*(h + 0 + 0).\nAnswer: -584*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-1) - 6\/(-1). Suppose w - 66 = 2*n, -6*n + 4*n = -d*w + 234. Suppose 0 = -v - v + w. Solve g = 5*k + v, -4*k = g + 8 + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.3 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 17\/((2\/(-4))\/((-12)\/24)). Let a = 7 - 6. Suppose 0 = 2*w - a - 11. Solve 3*s = 5*v - 9, j = w*v - v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 5087*s - 184433. What is a(36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 7*i**2 + 4*i + 14. Determine h(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 968 and 14090384?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 319658 and 3878.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -606 - -609. Which is the third biggest value?  (a) -2  (b) h  (c) -0.01  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - (-174)\/4)*14\/7. Suppose k = 103*q - 102*q. What is the remainder when 141 is divided by q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3749*p = -49277 - 14598 - 138571 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6\/13*f**4 + 0 - 2\/13*f**2 + 2\/13*f**5 + 6\/13*f**3 + 0*f.\nAnswer: 2*f**2*(f - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xdvx when four letters picked without replacement from {t: 6, x: 4, v: 3, d: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of i**5\/60 - 5*i**4\/24 + i**3\/3 + 3*i**2. What are the prime factors of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2767*k**2 - 1102?\nAnswer: 5534*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 118*m**3 - 2*m**2 + 1. What is the hundreds digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of 4249*m**6\/120 + 3*m**5\/10 - m**4\/8 - 22*m**3\/3 + 704*m**2. Find the third derivative of l(j) wrt j.\nAnswer: 25494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**5\/480 + v**4\/16 + 5*v**3\/12 + 70*v**2 - 3. Determine u so that f(u) = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20300 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - 14. Let j(b) be the second derivative of s*b + 1\/12*b**4 + 0*b**3 - 2*b**2 + 0. Give j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(13 + (-1032)\/80).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -5 + -1*sqrt(200))*5)**2 + sqrt(200) + (6*sqrt(200)*-2 - sqrt(200) - sqrt(200))**2 + 2 + (-2*sqrt(200))**2 + 4.\nAnswer: 2010*sqrt(2) + 45406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 11 + 19. Let i be (-4)\/(-300)*5*-3. Sort 7, i, a, -2 in decreasing order.\nAnswer: 7, a, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-9)*198\/(-165).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 11*g + 18 - 28 - 45*g**4 + 82*g**4 - g**2 - 42*g**4 to t*g**3 + s*g**2 + w*g**4 + q + m*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 0.4, -0.5, -1\/64?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-7)*(-4)\/12*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*v - 4*v + 0*v)*(-5 + 4 + 0)*(2*v + 2*v - v) + (2 - 2 + 4*v)*(2*v + 1 - 1) - 29*v**2 - v**2 + 3*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29247432 by -14623716.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223 a factor of 77400001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1236.511856 - -0.42.\nAnswer: -1236.091856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -425 = -5*l - 155. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.4697 - 4.4696894804. What is l rounded to seven dps?\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*l = 12*l - 70 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 30*z**2 - z - 2. Let r be v(2). Suppose 6*j + 3*a - 79 = 5*j, -3*a = -3*j + 201. Let x = r - j. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 93258384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 16 = 0, 3*a - 2*n + 37 + 37 = 93 - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 68*v**2 - 427*v - 469. Determine d(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -182.9 + 3.9. Let g = h - -211. Which is the second biggest value?  (a) -3\/8  (b) 3  (c) g  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 80.78 + -80. Let s = 1.22 + f. Is s not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5175639 to the nearest integer?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-693))\/((-68)\/(-476))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.16 + -2.16. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-126)*-4)\/((-55)\/6 + 9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, r: 2, s: 1, l: 7}. Give prob of sequence sli.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 319612 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -11201021212000 (base 3) to base 2\nAnswer: -1001100011101011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**4 - 4*z**3 + 4*z**2 + 4*z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -101 + p - p**3 + 109 - 2*p**4 - 2*p**2 - p**3 to z*p**4 + y + s*p**3 + d*p**2 + u*p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (-2 + -34 + 40).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -4)\/(2\/(-257)*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 PM and 8:16 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24)\/(-10) + (-96)\/240. Suppose -3*s = x - 14, -n*x = 5*s + 2*x - 14. Solve 4*u + s - 26 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 79484853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -346*r - 734 = -734. Which is the nearest to r?  (a) -2\/7  (b) -2  (c) -34  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 4*s = n + 9, 8 = -2*n - 5*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 11661027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5035+-22751\nAnswer: -17716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -143307?\nAnswer: -1\/47769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**4 + b**2 - 112*b - 357*b + 26*b**2 + 5*b**4 + 216*b**2 wrt b.\nAnswer: 36*b**2 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4 = 2*n. What is the second derivative of 41*i**5 + 3*i**4 - 11*i**5 - 22*i**5 + 0*i**n - 22*i wrt i?\nAnswer: 160*i**3 + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*j = 34*j + 780. Solve 0*z**3 - 16\/3*z**4 + j*z + 44\/3*z**2 + 8\/3 = 0 for z.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 12:25 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34200)\/(-56430)*11\/28.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.271 - 18.19.\nAnswer: -15.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*p + 8694 = 75*p. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-110 - -138 - 27) + (52 - -1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -115 + 119. Solve -f + m = 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 22 = 9*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.6 and -641.6?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 - 17. Let d = 4.8 - -55.2. Let q = d - 59. Which is the closest to q?  (a) s  (b) -4  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/6 + 1 + 6\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3093 - 1122. List the prime factors of t.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -90 - -147. Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(0 + (sqrt(80) + -2 - sqrt(80)) + -2*(sqrt(80) + -1*sqrt(80)))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5479855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-2)*2\/(-4). Suppose k = -0*q + 4*q - 32. Suppose -m - t = -255 + 257, 0 = 4*t + 8. Solve -z - z + q = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 - -50. Suppose -2*z - 76 = -2*y, a*y - 108 = 2*y + z. Solve 4*t + 5*p = -0*t + y, 3*p - 24 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.02 - -0.02. Let s = 5 + p. Let k be 2\/(-4)*(-4)\/2. Put -0.3, k, s in decreasing order.\nAnswer: k, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 25*s**2 + 21*s + 35. Let k be r(23). Let d be 3\/(9\/800)*k\/(-8). What is d rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (21 - 27 - (1 + 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**2\/4 - 169*a\/4 + 435\/2 = 0.\nAnswer: -174, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - 4*r**2 + r - 10. Let c(d) = -d**3 - d**2 + d. Give -4*c(t) + u(t).\nAnswer: 2*t**3 - 3*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*b + 8*b - 14*b + (-9 + 9 + 12*b)*(7 - 2 - 4) to the form k + i*b and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -403*s**2*v*z - 9*s**2*z**2 + 4*s**2*z + 94*s*v*z**2 - s*z**2 + 6*z**2 wrt v.\nAnswer: -403*s**2*z + 94*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13305156559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b + 42 - 4*b**2 - 25 - 23 + 4*b + 2*b**3 as f + n*b**3 + h*b**2 + w*b and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 54566792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g - 82147. Let l(r) = -2*r. Calculate l(u(a)).\nAnswer: -4*a + 164294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -3.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -280, -99, 726, 2615, 5988, 11265?\n\"Answer: 70*w**3 - 98*w**2 - 15*w - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of -5*p**4\/16 + 17*p**3\/12 + 7*p**2\/4 - 2*p - 1589. Let q(y) = 0. What is y?\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 455 - 455 + 56*o + (2 + 1 + 0)*(-o + 2*o - 2*o).\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 45\/10*(-14)\/147 + (-3978)\/(-21). Calculate the highest common divisor of m and 1215.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5251*z - 1692*z - 1783*z - 1777*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33775 - -33792. Let h be 138 - ((-5 - -2) + 1). Let n = h - 97. What is the remainder when n is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3850 divided by -6\nAnswer: -1925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3938 - 126. Suppose 5*q - x = -123. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from lwwmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164993467.\nAnswer: 23, 7173629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -2*a - 15. Suppose -20 = -2*z - 2*z - 2*y, 0 = -z + 4*y - 4. Solve 0 = -0*x - 5*x + 3*b + 12, -z*b = a*x - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -61 - -54. What is the common denominator of y\/(-2)*2\/(-19) and -26\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 95*f - 95*f + 5 + f**3 + (2*f - 5*f - f)*(4*f - f**2 - 4*f) + 2*f**3 + 0*f**2 + 0*f**2.\nAnswer: 7*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -549*-430970.\nAnswer: 236602530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 29*o**2 - 4*o + 2. Let w be l(1). Suppose 4*b = w + 13. Suppose 2189 = i + b*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 77 and 8701?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3050  (b) 1\/2  (c) 0  (d) 2  (e) 0.03  (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*q - 19*q + 4*q - 16*q.\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 48717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-21)\/(-4) + (-81)\/(-12) + -6. Is (-29)\/58 - y\/(-4)*23 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33653728?\nAnswer: 2, 53, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 621 and 8193?\nAnswer: 1695951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -232 in 4, -5, 1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1023 + -199. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 127776 and 32.\nAnswer: 127776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 6:15 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 82 = x, 4*z = 2*x + z - 167. Suppose 5*f + 3*m + x = 0, -3*m + 0*m + 19 = -2*f. Is f <= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**9*z)*z)\/z**10)\/((((z**(-1\/5)\/z)\/z)\/z*z)\/((z\/(z*z**(-13)))\/z)) assuming z is positive.\nAnswer: z**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**3\/6 + 3*l. Let s(c) = 2*c. What is y(s(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -g**5\/30 + 7*g**4\/24 - g**2 - 3*g. Let c(q) be the first derivative of a(q). What is the second derivative of c(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 53 - 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/3 - -2)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2855200, 2855202, 2855204, 2855206?\n\"Answer: 2*b + 2855198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**4\/12 + 5*g**2 + 11*g - 2. Let k be j(-3). Solve -5*i = k - 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3321 is divided by 256.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -2. Suppose 0 = -5*u + 4736 - 4646. Let h be (9 + -8)\/(n\/u*2). Solve o + 4*a = 8, -17 = -5*o + h*a - 0*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4262\/5)\/(161\/105). Let h = 518 + 38. Let i = b - h. What is the biggest value in -2\/7, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**4 + w**4 + 6*w**4 + (2*w**3 + 0*w + 0*w)*(3*w + w - 5*w) - 25*w - w**4 + 25*w + w**4 + w**4 + w**4.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from izznznzirzzgvvz. Give prob of picking 1 v and 1 n.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(1\/13)*m\/(m*m**29*m))**(-5))**(-13\/4))**(2\/7) assuming m is positive.\nAnswer: m**(-1945\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04599131 to five dps.\nAnswer: -0.04599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -7405\nAnswer: -7400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 57\/(6\/2) - -1. Suppose -3*p = 2*p - i. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 555?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 10*g - 7. Let h be b(-11). Let y(t) = 3*t - h*t + 24*t**3 - 65*t**2 + 63*t**2 + 4. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*w = -12 + 28, 3*g - 5*w = -19. Let l(h) = -4*h - 2547 - h**g + 0*h + 2552. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1227.1 + -1320. Round j to the nearest integer.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.01, 10, 3, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16627*g**2 + 1026*g**2 - 1005*g**2.\nAnswer: -16606*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -214.2544 rounded to one decimal place?\nAnswer: -214.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 870 = -5*w, 66 = w - 4*i - 117. Suppose -9*a - 3*o - w = -11*a, 0 = -4*a - o + 335. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, g: 9}. Give prob of picking 4 p.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**2 + 4*a**5 + 2*a**2 + (2*a**2 - 2 + 2)*(-4*a**3 + 3*a**3 + 2*a**3) + 38 - 2*a**5 - 38 - 4*a**5 - 2*a**5 + 24*a**5.\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -549 + a6?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 38. Is 9566\/(w\/(-7))*2\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 4:39 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 - -31. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 7273 = -12*k. Let h = -544 + k. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -6*i + 3. Let p be n(-4). Suppose -p*l + 3423 = -24*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17550 = -885*x + 183*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/(-4) - (-80 + 0). Suppose -5*x + v = -38. Calculate the remainder when (0 - -2) + -4 + 46 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1016059 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150140.\nAnswer: 2, 5, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -70422, -140844, -211266, -281688, -352110, -422532?\n\"Answer: -70422*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 0*t - 200. Suppose 4*j - n + 13 = 0, 3*j - 2*n + 6 + 10 = 0. Let x be (-18)\/j + (-3)\/18*-6. Calculate the greatest common factor of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 121 + 3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -153\/4 - -38. What is the closest to o in -3\/7, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 13 = 3*c - 30, 0 = -3*c + 2*a + 13. Let s(f) = -5*f - 110. Let l be s(-22). Solve -2*k - k - 2*b - c = 0, l = 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1519984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7506727\/210 - -35746. Calculate the common denominator of -107\/240 and g.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ttkztztz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11 + 3 + (-6 - -3). Let s(p) = 3*p + 3*p - c*p + 6 + 2*p. What is s(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7302*k**3 - 2*k**2 - 94*k + 480161 with respect to k.\nAnswer: -21906*k**2 - 4*k - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39683, 0, 4 in decreasing order.\nAnswer: 4, 0, -39683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 0.124\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 24565.88 litres?\nAnswer: 24565880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103584960 divided by 6.\nAnswer: 17264160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -7. Let z be (k\/3)\/(-1)*30. Find the common denominator of -20 and z\/15*2\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19954 less than or equal to -2468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 646.65ns in hours?\nAnswer: 0.000000000179625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 23*t**2 - 2111*t - 198. What is a(92)?\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25858 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q - 3. Let i be f(3). Solve -12 = i*v - 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -778\/7 + 52140\/469. Let i = p - -61\/201. Solve 0 + 5*s**3 + 7\/3*s**2 + i*s + 13\/3*s**4 + 4\/3*s**5 = 0 for s.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 15*w**3 + w**2 - 3*w + 1. What is the tens digit of n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**3 + 14*r**2 - 34*r - 162. Give o(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 5:09 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -111928 equal to -117865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-12))**(4\/13)\/(a**(-10)*a**4) assuming a is positive.\nAnswer: a**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, c: 3}. Give prob of picking 1 c and 1 r.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 3*v**2\/2 + 20*v - 11. Let k be w(-10). Let n(m) = -7*m. Is n(k) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2*k = -17, -a + 2*a - 5 = -2*k. Let w be (-77)\/(-5) + (-2)\/5. Solve a*v + 0 = -w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence axr when three letters picked without replacement from {m: 1, x: 1, r: 2, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-840)*-48)\/(4 + (-534)\/84)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -445*w + 2492. Give g(6).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - -0.171?\nAnswer: -14.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5\/((f*f\/(f*f**7*f))\/f))**(-47)*((f**(-2\/7)*f*f)**(-22\/9))**(-12) assuming f is positive.\nAnswer: f**(-3925\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -103*q - 273. What is the closest to 0 in 103, -1\/6, -5, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*f + 25, 2*f - 20 + 3 = -s. Let p(b) = -2*b**2 - 72*b + 86. Let t be p(-37). Solve n = t - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -517588 at most -517589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/10*(-200)\/30. Suppose -26 = -j*w + 6. Let u = -3 + 4. What is the closest to u in 0.05, 0, w?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i - 34 - 11 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 119508475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1*6\/75*(-170)\/(-136)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 11 + 7 - (5 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1 + 34 - ((-3 - -25) + (-30 - -12))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 1 + 31716*d**3 + 4*d - 4*d - 31751*d**3. Give p(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 7, 1, -248, -2, -9, 53 in descending order.\nAnswer: 53, 7, 5, 1, -2, -9, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u*w**3 + 250*u + 154*w**6 - 2*w**2 wrt w?\nAnswer: 6*u + 18480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/91 - -3\/455. Let w = 0.0617 - -0.0383. Is w bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1755 + 12381. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011311321 (base 4) to base 7.\nAnswer: -2301014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 + (-11 - -11) + -4 + (0 - -6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vffv when four letters picked without replacement from fffvvvvvffffvv.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 5*q**2 - 3*q - 3. Let m be p(4). Let a = 4 - 0. What is the closest to m in 3, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a + 8. Let p(c) = 2*c + 8. What is -3*p(q) + 2*u(q)?\nAnswer: -2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 44\/(-10) - (-3)\/(-5). Let p(g) = -g - 5. Let s be p(b). Let a be (-4)\/(-14) + (-33)\/(-7). Put a, -3, s in decreasing order.\nAnswer: a, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2351*j - 2805 = -2516*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)*2)\/(sqrt(75)*-2 - sqrt(3)) - (1 + (-1 + sqrt(343))**2*1).\nAnswer: -345 + 142*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 816 + -802 + -2 + -79?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 208187515 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -35  (b) 1  (c) -4696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0409999422 rounded to six decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -358 + 602. What is the highest common factor of 61 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -75245 in 0.4, 471, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 409703221 a multiple of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6196 * -0.3.\nAnswer: -1858.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 149 - 145. Let m = 4.8 + 0.2. Put m, b, 3 in decreasing order.\nAnswer: m, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -44\/13 - -510\/143. Let w = 0.28 - 0.78. Suppose 8 = -2*y - 0. Put w, y, h in ascending order.\nAnswer: y, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 214230020 (base 5) to base 2\nAnswer: 11100011000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28363725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and ((-15)\/(-25))\/(2\/300).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -27669c1 + -2?\nAnswer: -27669c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -176632761*l*o**2 + 3779352*o**2 + 4*o wrt l.\nAnswer: -176632761*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.192, -22854, 1\/8 in descending order.\nAnswer: 1\/8, -6.192, -22854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55 - 445314508.\nAnswer: -445314563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1233a (base 16) to base 13\nAnswer: 27c1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18503159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 40 = -3*y. Let s be 155\/124 + 3\/4. Let m(g) = -y*g**2 - g**s + 13*g**2. Let i(v) = 61*v**2. Calculate i(m(z)).\nAnswer: 244*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1310 - 927. Let g = -142 + n. What are the prime factors of g?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y - 3*y + 0*y)*((0 - 1 - 1)*(1 - 4 + 2) + 12 + 6 - 6) to the form j + i*y and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/11 - 480*b\/11 + 28800\/11.\nAnswer: 2*(b - 120)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of 0*t + 25*t**2 + 0 + 11\/120*t**6 + 0*t**3 - 1\/3*t**5 + 0*t**4. What is the third derivative of j(v) wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/9, 3, 8484\/113, 0.2, 0.05 in decreasing order.\nAnswer: 8484\/113, 3, 0.2, 0.05, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4668.986555 - 4669. Round p to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 138 and 560004?\nAnswer: 560004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*d - 3*d + 7*d)*(2 - 1 - 2)*(-2*d**2 + 0*d**2 + d**2) + (d - d + 2*d**2)*(0*d + d + d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + p**2 - p + 1. Let n(i) = 3*i**3 + i**2 + 11*i - 1. Let m(f) = 4*k(f) + n(f). Let v be m(6). Let s = v - 5. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8369 - 2214. Let w = -4998 - a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 1:32 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Suppose -72 = -6*n + o*n. Calculate the least common multiple of 10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5637579 to the nearest integer?\nAnswer: 2374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1393 (base 14) to base 5\nAnswer: 102321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-18)*7257\/(-236)*(-8)\/(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*((r*r**1*r*r)\/r)\/r))\/(r\/(r*(r\/(r**1\/r*r))\/r)))\/(r*r*r\/(r*r*r*r**(-1\/13)*r)*r*r**(-3\/2)) assuming r is positive.\nAnswer: r**(-41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 36942*a*l**2 + 35*a*l - 43*a + 677252029*l**2 wrt a?\nAnswer: 36942*l**2 + 35*l - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 49. Suppose -14590 + 14942 = 11*c. Are s and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 v, and 1 l when four letters picked without replacement from leqveq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38005023 to the nearest integer?\nAnswer: 6165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -5401  (b) 1\/3  (c) -0.3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (-2 - 3) + (3 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-3))\/(20\/(-8) - -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 186*r**2 + 120*r - 228. What is the hundreds digit of n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3*sqrt(60)\/sqrt(4))\/(sqrt(605)*-2).\nAnswer: -3*sqrt(3)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51957 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125452?\nAnswer: 2, 79, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1532, 2934, 4336, 5738, 7140, 8542?\n\"Answer: 1402*u + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 2*n - 3*f - 81, 4*n = 3*f + 107. Suppose 0 = n*j - 21*j - 45. Which is smaller: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 57 = 6*a + 63 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5333530 to the power of 1\/2, to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-0.054\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 0\/(-2) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27422644 or -27422638?\nAnswer: -27422638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -538, -1918, -4204, -7384, -11446?\nAnswer: -16378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 + a2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + (3*((sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7)) - sqrt(7))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(156)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51.0964103 + -11.\nAnswer: -62.0964103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*w - 429 = 171. Suppose 9*x - 10 = -10. Sort -1, 4, x, w.\nAnswer: -1, x, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 416*t**3 + 18*t**2 + 3*t + 18. Suppose 0 = -5*s + 4*g - 90, -3*s = -7*s + 4*g - 76. Let i be m(s). Round i to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - -97. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-139 + 22*w + 139)*(-3 - 6 + 4)*(18*w - 15*w - 8*w) to the form z*w + s + b*w**2 and give b.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*y**4 + 2 - 2 + (-3*y**3 + 5*y**3 + 2*y**3)*(77*y + 99*y - 39*y) to n*y + g*y**4 + f*y**3 + u*y**2 + t and give g.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21210200012 - 11?\nAnswer: 21210200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**3 - 4*c**2 - 5 - c**3 - 5*c + 0*c. Let g(o) = -o**2 - 12*o + 12. Let p be g(-10). Let x = -27 + p. Calculate b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -18*((-14)\/3 - -4). Let j(x) = x**3 - 11*x**2 - 11*x + 2. What is the remainder when j(b) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 19\/4  (b) -4  (c) 2  (d) -812  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 60b + 85809?\nAnswer: 85e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (350\/15 - 11)\/(5\/((-90)\/6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**25)*t)\/t*t\/(t\/((t*t**(2\/41))\/t)))**(-3\/14) assuming t is positive.\nAnswer: t**(3069\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -66 less than or equal to -564667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 570 and 10545.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 114511 in 5, -8, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -l**3\/7 + 44*l**2\/7 - 415*l\/7 + 372\/7 = 0.\nAnswer: 1, 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 6\/25  (c) -0.01  (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 + -30. Suppose 0 = -v*r - 0*r. Suppose 20*t - 22*t + 26 = r. Solve -15 = -5*j + 5*q, -j = -4*j - q + t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/7)\/t*t)\/t**(-2\/7))**(-2\/37))**(-6\/29) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5163587?\nAnswer: 11, 13, 36109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 342\/158779 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -151 or -149?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 1. Let v be w(5). What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of 2*g**7\/105 - 13*g**6\/30 - g**5\/15 + 13*g**4\/6 - 103*g**2 + 1. Factor t(u).\nAnswer: 4*u*(u - 13)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -2, -19, -1062?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5123306805 less than -146.3?\nAnswer: -5123306951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -30*s**3 + 7*s**2 - 74*s + 47. Let q(l) = -10*l**3 + 3*l**2 - 25*l + 15. Let b(g) = 4*h(g) - 11*q(g). Is b(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33415 is divided by 1520?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 = 5*g - 11, 4*l + 5*g - 65 = 0. Let h be (2 + -1)\/(-1 - l\/(-8)). Suppose 0 = h*m + n - 210 - 499, 0 = -5*m + n + 893. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776 + 2045 = 13*t + 204*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24849754, -49699518, -74549282?\n\"Answer: -24849764*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-26)*p)\/(p\/p**7))\/((p*p\/p**(-10)*p)\/(p*p**8)) assuming p is positive.\nAnswer: p**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m**3 + 7*m**2 + 9*m + 11. Let h(f) = -5*f**3 + 6*f**2 + 9*f + 12. Let p(x) = -2*h(x) + 3*o(x). Determine p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.88, -5.3, -4 in decreasing order.\nAnswer: 2.88, -4, -5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 144*i + 235. Is m(41) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -5*v**5 - 2530*v**4 - 352910*v**3 - 8181220*v**2 - 22111085*v - 14280250 = 0?\nAnswer: -239, -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 + 2*a**2 - 1. Calculate the least common multiple of d(-1) and 4\/(3\/(2 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 36*f**2. Let a(t) = 219265*t**2. What is a(n(r))?\nAnswer: 284167440*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.05413 - 0.89718. What is v rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3, -53, -105, -153, -197, -237?\n\"Answer: 2*k**2 - 62*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 74404 and 30719062?\nAnswer: 1167324356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 0. Let z = 0.3 + h. Let n(j) = j**2 + j - 26. Let w be n(-6). What is the closest to -1 in z, -4, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30010 (base 4) to base 10\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-5 + (10 - 8 - (0 - -1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, s: 1}. What is prob of sequence ers?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 18*a**2 - 43*a + 445. Let v be w(17). Let u = -160 - -165. Solve 0 = 2*n - u*b - 14, v*n - 8*b = -3*b + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 + 3528100*d - 14112480.\nAnswer: 5*(d - 4)*(d + 705624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1942977*t - 19294388 wrt t.\nAnswer: 1942977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -5045?\nAnswer: 1\/5045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (288\/(-90) - -3)\/((-1)\/3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 9:16 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 + 0.62304\nAnswer: 0.58304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(264)\/sqrt(8))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 0.3, -2\/7, 0.4 in ascending order.\nAnswer: -2\/7, 0.3, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 199, 1884, 4699, 8650, 13743, 19984, 27379?\nAnswer: 35934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*s**3 + 20*s**3 - 23*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5267707673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -x**4\/3 + 7*x**3\/3 + 7*x**2 + 23*x. Let d(t) be the first derivative of y(t). What is the first derivative of d(m) wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -15 + 32 + -28 + 8 + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5090357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 82*(-21)\/252*(-48 - -54)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away 13918?\nAnswer: -13917.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -553?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9149\/8 - -868683\/760. Calculate the common denominator of -54\/125 and w.\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 300150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 81, 1, -99241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(((-4)\/2)\/142). Let d = 45 + -41. Suppose d*p + 19 - x = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-114885)\/2664 + (-1)\/(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**3*m*w + 64*j**3*m - j**3*w - 9895*j**3 + 49*j**2*m*w - 1171*j**2 - 8*j*m*w wrt j?\nAnswer: 6*m*w + 384*m - 6*w - 59370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -3753*a + 18679. Let t be n(5). Suppose -s + k - 1 = 4*k, -2*s + k - 2 = 0. Sort 0, 4, s, t in decreasing order.\nAnswer: 4, 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.9 - -0.7. Let p = c - 0.1. What is the closest to -2\/7 in 2\/9, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {u: 8, g: 8, o: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-57748)\/(-13) + ((-3)\/13*-47 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 7*u**3 + u**2 - u + 1. Determine p(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2. Let s(o) be the third derivative of 7*o**5\/30 + 4*o**2. Give s(q(f)).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 36 = -u - 3*u, -k + 5*u - 3 = 0. Suppose 2*r - 135 = -k*r. Calculate the lowest common multiple of 45 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(6\/7)\/x**20*x**(7\/6)*x*x**4 assuming x is positive.\nAnswer: x**(-545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 3. Let g = -2 + j. Let m(w) = 18001*w**2 - w. Let x be m(g). Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 420164999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - n + 15 = 4*n, 5*n = 5*y + 15. Let w(z) = -z - 10. Determine w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 73 - 37 - 36 + 107*k to the form d + o*k and give o.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(4\/(-4 - 0)). Let n = -47 + 51. Sort -5, t, n, 1.\nAnswer: -5, t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f + 33 + 167. Let o = f + 154. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-33)*231\/(-7)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 20 = 3*a, 87*a - 8 = 83*a + 4*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 8:26 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(3\/13))**(12\/17)*(i\/(i*(i\/(i*i\/i**1))\/i))\/i**12 assuming i is positive.\nAnswer: i**(-2395\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/17?  (a) -1\/2  (b) 1  (c) 2  (d) -54\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*l - 3*j - 1802, -2*j + 370 = l. Let k(u) = l - 362 + u. Let d(t) = 28*t. Determine k(d(s)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = f - 129, -5*f + 656 = -3*u - 74. What is the remainder when f is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*w = 4*w + 8, 4*w = n - 8. Suppose n*x = 3*x + 15. Suppose -3*c - d - 11 = 0, 2*d - 14 = 2*c + c. Sort c, x, -3 in decreasing order.\nAnswer: x, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shhshhhhsss. What is prob of sequence ss?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k*(k*k*(k**(-4)\/k)\/k)\/k)\/k)**(-22)\/(k**(-40)\/(k\/(k*k**(-2)))) assuming k is positive.\nAnswer: k**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, t: 1, z: 12, v: 1}. Give prob of sequence vtlz.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -3 + ((-492947)\/364)\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -756909, 5, -4 in descending order.\nAnswer: 5, -4, -756909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1\/2  (b) 0.3  (c) 13  (d) 2\/15  (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 586\/(-7) + 10\/(-105)*3. Is (q\/(-35))\/((-3)\/(-10)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -928*b = -1853*b + 923*b + 42 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 89*u = -90*u + 31083, 12 = 4*u. Round i to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -0.5  (c) -11047  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 5 + 1 + (-1 + 2 - 3)*(4 + 1 - 4) - 3 + 4 + 1)*(4*w**4 + 2*w**4 - w**4)*(1 - 2 + 0) in the form z*w + y*w**3 + d*w**4 + q + m*w**2 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 63 = -3*u - 51, 5*u = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 0*v**3 - 8\/15*v**4 - 137*v**2 + 0 + 0*v - 1\/75*v**5. Let u(q) = 0. What is q?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v - 4*v + v)*(1 - 2*v - 1)*(3 - 37 - 17) as h*v**2 + n + f*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 310*-6*1\/4. Let y = g - -778. List the prime factors of y.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (38\/(-4))\/((-6)\/60).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 3637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 5*x + 3. Let l = 19 - 12. Calculate the remainder when a(l) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 22.4, -6, 2, 9, -3801?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of 5*s**3\/3 - 12*s**2 - 8*s - 1. Let y(g) = g**3 - 6*g**2 + 12*g - 3. What is the smallest common multiple of y(5) and k(6)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.0085 - 0.0752.\nAnswer: 5.9333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -3694*(36\/(-8) + -1 + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 - (2 + 2 - (25 - 14) - (4 - 9))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -53 - (-8 + (-2 - -21))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, v: 3, g: 12}. What is prob of sequence vgvg?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13210001 + -2?\nAnswer: 13203333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(3\/5)\/h**(-3\/14))\/(h\/(h*h**(-1\/8)\/h*h)*h)**(-1\/2) assuming h is positive.\nAnswer: h**(771\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/3*(8 + (-18430)\/2299)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12241 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -0.1  (c) 2\/645  (d) -18.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*j**5*m - j**5 - 88*j**3 + 1136*j**2*m wrt j.\nAnswer: 240*j**2*m - 60*j**2 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4278 - 39*f**2 + 2139 + 2139.\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -7*p + 74. Let k be q(11). Let n = -7 + 5. What is the nearest to n in 2\/17, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6*w**8*w**(-2\/3)\/w**(-2\/7))\/((w**(-2\/5))**(-8)\/(w\/w**(-2))**3) assuming w is positive.\nAnswer: w**(2039\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 393.41547 minutes to days.\nAnswer: 0.2732051875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432)*2 - sqrt(3)) + -5*(sqrt(3) + 2))**2.\nAnswer: -360*sqrt(3) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -0.2. Let o be (-1 + 4 - 5)\/17. Let b = 0.6 - 0.1. Sort o, b, t.\nAnswer: o, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 - 306*c**2 - 14094*c - 179550.\nAnswer: -2*(c + 21)*(c + 57)*(c + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 13747\/2 + -6872. Let x(t) be the second derivative of -p*t**2 + 17*t - 11\/6*t**3 + 0. Differentiate x(k) wrt k.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130775617 minus -8?\nAnswer: 130775625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -o. Let v(a) be the second derivative of 0 + 0*a**2 + 2*a + 1\/6*a**4 + o*a**3. Let i(c) = c. Give i(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/59587995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2, -5, -7, 22 in descending order.\nAnswer: 22, 2, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 166 and 2739?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*d + 20, d - x + 0*x - 24 = 0. Calculate the remainder when 34 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*sqrt(228))\/((1*sqrt(72))\/sqrt(6)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 + 5. Let o(c) = -7. Let q(w) = 1. Let j(r) = o(r) + 6*q(r). Let d(z) = -10*j(z) - 2*n(z). Find h such that d(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 2. Let h be v(2). Let c = 18 - h. Solve 0*p - c = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 599*l - 24 = 603*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 22*x**2 - 66*x - 8. Give z(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**2 + 16*h - 2. What are the prime factors of f(-7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*q**3 - 59161*q**2 + 3158994*q.\nAnswer: 42*q - 118322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15827 and 3230?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2*u - 5, 14 = -4*d - 4*u + 46. Let q(g) = 4*g + g - 1 - 2*g - 1. Let s be q(1). Calculate the greatest common divisor of d and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -5*a**2 + 0*a**3 + 0 + 1\/12*a**4 + 0*a. Let f(c) = -10*c**2. Determine f(z(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 217008 and 2235429?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -586*g + 5. Let m(z) = -2342*z + 23. Determine -9*a(j) + 2*m(j).\nAnswer: 590*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3042037, -3042013, -3041989, -3041965, -3041941?\n\"Answer: 24*h - 3042061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 4*o - 80. Let v be l(-10). Let t = 32 + v. Solve 4*h - t = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/9)\/(z\/z**11) assuming z is positive.\nAnswer: z**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 62\/3 of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -510 + 120. Suppose 19 = 2*p - p + 3*r, d = 5*p - 2*r. Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z - 4. Let i(b) = -b - 3. Let d(j) = -8*i(j) + 5*t(j). What is d(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3076\/360 - (2\/(-14) + 22\/252).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -5*k - 2*l, 2*k - 3*k + 4*l + 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**3 + 1101*s**2 - 8088*s - 87516 = 0. What is s?\nAnswer: -374, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13.55 + -15.55. Are g and 0.425 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34109162 a multiple of 3079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5862031*d**4 - 233*d**2 - 1093*d - 1 wrt d.\nAnswer: 140688744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 63 - 9 = 0. Find the common denominator of 47\/8 and -2 + ((-3)\/(-4))\/(r\/34).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o = -9064 - 452. What are the prime factors of o?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1296 + -1256. What is the lowest common multiple of 88 and b?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 271361\/12 or 22614?\nAnswer: 271361\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - b = -2*g + 15, -g + 3 = 5*b. Let u(m) = 2*m + g*m - 3*m. Let a(w) be the third derivative of 3*w**5\/20 - 1843*w**2 + 1. Determine u(a(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*x - x + 3*x - 2*x)*(-x**2 + 2*x**2 + 0*x**2) as p*x**3 + y*x**2 + t*x + u and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from tottotohonfnn?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -472 = 14*p - 16*p + 2*d, 3*p + 3*d = 732. Calculate the greatest common factor of 312 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 143 - 76 + 15*s**3 + 97*s - 65 in the form z*s + f*s**2 + v + x*s**3 and give z.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - i. Let q be t(0). Let c be (-34)\/(-1) - q\/3. Suppose 0 = -l + c - 0. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -661937*w + 661867*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9768768.\nAnswer: 2, 3, 83, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3*k - 5, -5*h + 0*h + 3*k + 7 = 0. Let q be 30\/h*48\/18. Suppose 6*i - q = 32. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, x: 1, b: 5, p: 10}. Give prob of sequence byb.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 11. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 6*t + 6. Let c be k(4). Let a be 6\/c + 1 - 2. Find the common denominator of 6\/a*(-28)\/21 and 37\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 83 + -3. Let a = x + -76. Suppose -3*l = -5*l - 2, -a*o - 22402 = 2*l. Round o to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -314*m + 12. Let h(f) = -313*f + 10. Calculate 5*d(w) - 6*h(w).\nAnswer: 308*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-264)\/(-154))\/((-9372)\/(-154))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.0975 + -3.0975. Is v greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (-5)\/(1155\/(-474)))\/(118\/413)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = 5*p - 83, 32*q - 11*q = 4*p - 175 + 149 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21827\/6 - -3630. What is the common denominator of z and 71\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2919.2 - -9.6.\nAnswer: -2909.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -610\/57851 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5567\/3 - 1856. Let r be (((-40)\/(-2))\/4)\/1. What is the fourth smallest value in f, r, 1.8, -2\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 5*k = -k - 124, 4*k = 3*t - 58. Suppose i = -3*u + 193, -8*u = -4*u - 2*i - 264. What is the highest common divisor of t and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 229*j**2\/4 - 241*j\/4 + 3.\nAnswer: (j - 1)*(229*j - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 46*n - 5 - 99*n + 10*n**2 + 48*n = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 2:35 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5686.904 grams to nanograms.\nAnswer: 5686904000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -31*i + 116. Give w(-4).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, t: 4, h: 3, i: 6}. Give prob of sequence tht.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002450458 rounded to six dps?\nAnswer: 0.00245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66178?\nAnswer: 2, 7, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 238*d - 3. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = g + 50. Suppose -g - 22 = -4*n. Calculate the smallest common multiple of 6 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -30.19, 3, -77 in decreasing order.\nAnswer: 3, -2\/3, -30.19, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {t: 1, k: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 76, -5, 0 in descending order.\nAnswer: 76, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40150, -40097, -40040, -39973, -39890?\nAnswer: -39785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 5. Suppose 18 - 3 = l*u. What is the units digit of u + -1 + (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -13*s + 14. Let z(k) = -15*k + 17. Let p(d) = -5*m(d) + 4*z(d). Let x(n) = 23*n - 8. Let h(q) = -9*p(q) + 2*x(q). Give h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -89, -74, -43, 10, 91, 206?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 19, 6, 0.25, -6\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbobbbbobb. Give prob of picking 1 o and 1 b.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 5*r = 2*m + 9, 2*r = -m. Let n be (-12)\/(-30) - 26\/(-10). Let d(q) = 5*q**2 - n*q + 6*q - q + 2 + 2*q + q**3. Give d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183082 is divided by 579.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -66, -2\/7, 2.9?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -31*t**2 - 24*t**2 + 45*t**2. Let y(v) = -13*v**2. Give j(y(d)).\nAnswer: -1690*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 8:38 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -91639630, -183279260, -274918890, -366558520, -458198150, -549837780?\n\"Answer: -91639630*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/1260*-27 + 0\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**3 + 42*r**2 - 213*r + 57. Give b(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 5*d + 14 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42906208 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10311 + 10?\nAnswer: -10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2\/9, 0.4, -2\/5, 28 in increasing order.\nAnswer: -2\/5, -0.2, 2\/9, 0.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, h: 7, f: 3, g: 5, m: 2}. Give prob of picking 2 g and 2 l.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -212 or 1004.37?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(4\/9)*(a\/(a\/a**(2\/7)))\/a)\/(a**(-1))**(-2\/29))\/((a*(a*a**(1\/2))\/a)**(-24))**(-1\/9) assuming a is positive.\nAnswer: a**(-7927\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 7:33 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = x - 2, x + 4*l - 3 = 4. Let c(h) = h**2 + 7*h + 15. Let n be c(-3). Let f be x + -9 + n + 10. Solve -g - 4*j - f = 0, -j + 4 = 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*c = -41 - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.27522 rounded to 2 decimal places?\nAnswer: -8.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55900217.\nAnswer: 61, 71, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 5*z = 0, 2*n + 8*z = 5*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2611732 or 2611731?\nAnswer: 2611732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 62485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.4  (c) 0.369  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011 (base 2) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 r, and 2 c when four letters picked without replacement from cufccccccccrc.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2082*m - 2082*m - 16*m**2 - 63*m**2.\nAnswer: -79*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - -0.2. Let i(y) = y**2 - 12*y + 1. Let m be i(12). Let u = 127\/4 + -32. Put m, u, n in increasing order.\nAnswer: u, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*8\/(-9)*(-75)\/(-50). What is the greatest common divisor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 0, 3*l - 2*a - 43 = 23. Let p be (9 + -41)\/8 - -3. Let j be p - -5 - 7519\/(-103). Calculate the highest common divisor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -108*y**2 - 32*y + 35. Give p(5).\nAnswer: -2825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 1\/3  (b) 1  (c) -1\/4  (d) -0.04  (e) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0535 + -4.9465. What is the second smallest value in 3\/5, 2\/15, w, 31?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 600 = -5*k, -2 - 10 = 4*k. Is -4 - 6\/(-3) - q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3143 + 0.1143. Sort -9\/16, s, -2\/19 in ascending order.\nAnswer: -9\/16, s, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**2 + 3*i + 11. Let g be f(3). Suppose -2*n = 3*d - 226, d + g*d = -n + 107. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 5 + -1 + -3. Let d(k) = k - 1. Let r(g) = 0*g - 6*g + 5*g. Let n(y) = d(y) + 2*r(y). What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -8.9. Which is the third smallest value?  (a) 0.17  (b) 3  (c) -3\/8  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 - (33 + (-35 - 0)) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-1675)\/1474)*(-4)\/9*1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -4*f - 36, 2*x + 7*f - 5*f = 12. Solve j + x = -j, 5*s + 10 = -j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 75*v - 1221880*v**2 + 610914*v**2 + 610938*v**2 to m*v + d*v**2 + a and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 73458643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l + 6. Let n(w) = 3*w + 5. Let a(r) = -6*n(r) + 5*y(r). Suppose x + 4 - 5 = 0. Let p(c) = -x - 2 - 9*c**2 + 3. Determine p(a(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c + 24*c + 26*c.\nAnswer: 47*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 556211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkukukuujukkuuuiuj. What is prob of sequence uju?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -38  (c) -17\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1366319?\nAnswer: 599, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.707 rounded to 2 decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s + 16. Let z be v(-12). Let p(q) = -6*q + 7*q + 0*q - z*q. Let f(d) = 32*d. Calculate p(f(b)).\nAnswer: -96*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 6*w**3 + 173*w + 822. Calculate h(-5).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3361578 * 4\nAnswer: 13446312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -451 + 20230012?\nAnswer: 20225121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (0 - -50) + (3 + 11 - 8) + -7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*a + a + 6*a)*(-1 + 0 + 4) + (-14*a + 3*a + 5*a)*(0 + 10 - 5) to the form t*a + l and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -216 or -573.763?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/530 and -19\/8.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*y**3 + 81627*y + 2*y**3 - 27 + 11 - 81627*y + 15.\nAnswer: -7*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1706, 3456, 5316, 7340, 9582, 12096, 14936, 18156?\nAnswer: 21810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -622 + 29?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 - 1297*c + 57465. What is a(46)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3653846202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 15*p**3 + 5*p**2 + 5*p + 11. Let d(j) = -8*j**3 - 3*j**2 - 3*j - 6. Let n(r) = -5*d(r) - 3*g(r). Find the first derivative of n(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-34)\/153 - ((-3936)\/(-27) - 2). Let a be (-60)\/f*(-2)\/((-1280)\/6). Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**4\/108 + m**3\/18 + m**2\/9 - 8*m + 4. Let t(v) be the first derivative of j(v). Factor t(d).\nAnswer: (d + 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41301*a**4 - 917*a**2 - 26*a.\nAnswer: 991224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8779*u**2 + 87490*u**2 - 3 + 3.\nAnswer: 78711*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*s + 20*s + 17*s**2 - 38*s to the form y*s + j + i*s**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00205963 rounded to five dps?\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7460067\/280 + -26643. Calculate the common denominator of 79\/10 and b.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9936*g**3 - g - 28919 with respect to g.\nAnswer: -29808*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/6 + 1105*q**2\/6 + 18707*q\/3 - 6420.\nAnswer: (q - 1)*(q + 36)*(q + 1070)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 - 947212189.4.\nAnswer: -947212175.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c\/c**1)*c)**(-5))**(-7\/8)\/(((c**(1\/14)\/c)\/(c\/(c\/(c*c**0\/c))*c))\/(c**(-7)\/c*c**(-3\/8))) assuming c is positive.\nAnswer: c**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*x - 953*x + 96*x.\nAnswer: -912*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101000220111 + 12?\nAnswer: 101000220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a\/a**(-2\/5))**(1\/17)\/(a\/(a**(-6)*a)*a*a**3) assuming a is positive.\nAnswer: a**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41217096623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -6223226\/5 >= -1244646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -56*j. Let m(u) = 19*u. Let n(l) = -l**3 + 6*l**2 + 4*l - 35. Let g be n(6). Let r(c) = g*m(c) - 4*w(c). Let v(t) = -2*t**2. Give r(v(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(-21) - 2\/6. Suppose c*u + u + 2 = n, 5*u = -n + 14. Solve -3*w + u - 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000004534977 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from szlrzzrvsdvz. Give prob of sequence sdl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13314 = a + 53686. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5980.91453 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 17, m: 2}. What is prob of picking 1 v and 1 m?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 3*o**3 + 2 + 11)*(-1 - 3*o + o**2 + 3*o).\nAnswer: -3*o**5 + 3*o**3 + 6*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c**3 + 99*c**2 - 64*c + 63. Determine y(32).\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59*d**6*p**2 - 2*d**3*p**3 + 2*d**2*p**3 - 101*d**2 wrt d.\nAnswer: -7080*d**3*p**2 - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3938 + -3938.31. Which is the nearest to 3\/4?  (a) 2\/11  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 0*v**3 + 0*v**2 - 3\/10*v**5 - 1\/12*v**4 + 0 + v. What is the third derivative of i(d) wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/2, -96, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 - -1359?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13090 - 7293. Let h = n + 301383. Round h to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + -4*(2*sqrt(70) + sqrt(70)) - sqrt(70))\/(sqrt(160)*4)*-5.\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**5 - 5*x**2 + 5*x**2 + (4 + 5*x - 4)*(-x**4 + 0*x**4 + 0*x**4).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - ((-2 - -12) + -2). Let f = 11 + h. Suppose f*o - 12 = -o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1231356.121 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -30.59 and -9145.4.\nAnswer: -9175.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -c - 481, -2396 = -10*z + 5*z - 4*c. Suppose 4*a = -2*y + z, -3*a = a - 2*y - 464. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence woon when four letters picked without replacement from {l: 1, n: 2, o: 4, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7408 divided by 2\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 68993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l. Let q be (-6)\/21 + (-33)\/(3696\/(-2272)). Let f(y) be the first derivative of 0*y + q + 0*y**2 + 19\/3*y**3. Give f(j(m)).\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(7 + 0 + -3). Let i = u + 26. Let a = 24 - i. What is the smallest common multiple of 12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 930 - 38 = -81*w + 1 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccz when four letters picked without replacement from {c: 10, z: 4}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**2 - 8*g - 1. Let c be j(4). Let y(b) = -b + 34. Let t be y(c). Solve -t*r - 1 = -16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k*n**3 - 70*k - 7240*n**3 - 89*n wrt n.\nAnswer: -6*k*n - 43440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4\/303 + 182\/1515. Let g = -15 + 16.5. Let h = -6.5 + g. What is the closest to 2\/3 in -0.1, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 11444 + 2160 = 0. Let y be (20\/4)\/((-45)\/(-18)). Let h(t) = s - t**y - 3401. Let l(k) = 2*k**2. Determine h(l(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18\/4246753, 0.08, 4.\nAnswer: -18\/4246753, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5820 and 1746?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((14\/(-3))\/(124\/(-186)))\/(1 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 515 (base 6) in base 15?\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2662) + 3*sqrt(2662))\/sqrt(2) + ((sqrt(1100)*1 + sqrt(1100))*6 - (3 + (sqrt(1100) - (sqrt(1100) + 1 + sqrt(1100)) - sqrt(1100))))**2.\nAnswer: -340*sqrt(11) + 215604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of 119*x - 48. Let h(r) = r + 1. Let i(q) = -2*h(q) - t(q). Let o(d) = 2*d. Determine o(i(s)).\nAnswer: -4*s - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1602 greater than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + l**2 - 1. Let a(x) = 30*x**3 - 4*x**2 + x + 3. Let f(p) = a(p) + 5*w(p). Let d be f(2). Let n = -121 + d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 880*b**2 - 595*b. Let x(m) = -147*m**2 + 99*m. Let r(a) = 6*q(a) + 35*x(a). What is the second derivative of r(p) wrt p?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b**3 + 4*b**2 + 5*b + 4. Let q(l) = l**2 - 90*l - 1005. Let v be q(-10). Let f(k) = -6*k**3 + 3*k**2 + 4*k + 3. Give v*f(d) + 4*o(d).\nAnswer: 2*d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -190 + 1328\/7. Let v(o) = -o**3 - 40*o**2 - 345*o - 285. Let f be v(-11). Which is the closest to 1?  (a) f  (b) -0.2  (c) -13  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 11*w + 5. Let u be n(-7). Suppose u*f - 35*f + 4 = 0. Solve -f = -3*j - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77 - -88. Is h <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -5*o + 27. Suppose 3*n - 2*v - 19 = 0, 0 = 2*n - 2*v - 5 - 9. Let c be a(n). Solve c*u - 9 = -3*f - 2*f, 0 = 5*u + 4*f - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y = 59334 + 48263. List the prime factors of y.\nAnswer: 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1472*t**3 - 1479*t**3 + 35 - 130 + 38 + 57.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -862*f**3*p**2 - f**2*p + 2*f**2 + 23*p**2 wrt f?\nAnswer: -5172*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 + 3*u - 37. Give p(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.048 + -0.048. Let v = -6883.4 + 6883. Let t = 84 + -32. Which is the smallest value?  (a) v  (b) q  (c) t  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.0898, 2, 4\/11, -1, -0.4, -0.3, -2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 - q**2 + 0*q**2 + (2*q**2 - 4*q**2 + 3*q**2)*(-2 + 1 + 2) + 0*q**2 + 6*q**2 + 6*q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 19*r + 21. Let o be i(-20). Let j(y) = 90*y**2 - y - 4. Let a(c) = -90*c**2 + c + 5. Let x(z) = 4*a(z) + 5*j(z). Is x(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 30. Suppose 4*k + 0*k = l. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 318.7 - 319. Let y be 32\/(-18) + 4 + -2. Let g = -92 + 1010\/11. Which is the fourth biggest value?  (a) g  (b) y  (c) -5  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 3. Let y = -10.627 - -10.927. Sort -1.8, q, -2, y in descending order.\nAnswer: y, -1.8, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25504.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/3))**(3\/22))**(-11\/4) assuming c is positive.\nAnswer: c**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**4\/7 - 1488*w**3\/7 + 732*w**2\/7 + 273032*w\/7 + 38688 = 0 for w.\nAnswer: -372, -13, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23030286.\nAnswer: 2, 3, 3838381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000 (base 2) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -10. Let t(i) = 3*i**2 + 4*i - 5. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-202)\/(-22) - 0 - (-98)\/(-539). Let r(t) = -15 - 15*t**2 + 6 + v. Let q(f) = 3*f. Calculate r(q(p)).\nAnswer: -135*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10, 72, 234, 544, 1050, 1800, 2842?\n\"Answer: 8*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**7\/42 - j**3\/6 + 7*j**2. Differentiate r(x) wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 45, -2, 7, 2.\nAnswer: -2, 2, 5, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 115*m. Let q be p(-1). Let x = q + 577\/5. Let g = -1 - 0. Which is the nearest to 0.1?  (a) g  (b) 1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3673 and 2416723810?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*n + 1079374 = -5415526. Round n to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -6*m + 5. What is the tens digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/(-54)*2 - (-6640)\/9?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 6:32 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-138)*(-44)\/(-33). What is the second smallest value in -1.9, -4, x, 4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*5\/(-2 - 3). Let x(s) = -15 + 57 - 8*s**2 + 33 - 7*s**l. Let j(b) = 1. Let d(p) = 75*j(p) - x(p). Let a(r) = 2*r. Determine a(d(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -24386 to the nearest one hundred.\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/12 + 246\/(-4). What is the units digit of h\/(-4) + 0 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 211340?\nAnswer: 211344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence na when two letters picked without replacement from {y: 3, a: 1, e: 1, n: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 1855.938, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -342 + 1123. What is the greatest common divisor of 142 and x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*l + 2735 - 6575 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1592352 >= 1592355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d - 3*i - 48, -3*d + 2*i = 3062 - 3094 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -23946\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8150, -8140, -8132, -8126, -8122, -8120?\n\"Answer: -b**2 + 13*b - 8162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -4, 5, -35 in increasing order.\nAnswer: -35, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m + 9. Suppose -3*x - 5*v + 3 = -4*x, -v - 33 = -5*x. Let h be w(x). Suppose -h = -y + 1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22662, -45326, -67990?\nAnswer: -90654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*x**5 + 654*x**2 - 120*x**5 - 18*x**5 - 2*x**4 + 0*x**5 - 122*x**5 wrt x?\nAnswer: -16620*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23694 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -4 - (-2 - -3) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 63, 2.582, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = a + 6. Let w(i) = -i**2 + i - 1. Let y(u) = u**3 + 13*u**2 + u + 14. Let k(l) = a*w(l) - y(l). Calculate k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53.50498 litres?\nAnswer: 53504.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83284 is divided by 41639.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141 and 57105?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 22*q + 7)*(706*q - 704*q + 13 + 32) to the form n*q**2 + k + f*q and give f.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 969071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1329.25 - 1325.15041. Let a = n - 4.1. What is a rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**6\/120 + q**5\/120 + q**4\/24 + q**3\/3 + 8. Let v(b) be the third derivative of h(b). Calculate v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 156 in -7, -1\/276, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -10*l + 261. Give o(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3556\/40 + (-1620)\/1800\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/2)*v)**38*v**(4\/3)\/v**(2\/3))\/((v**(1\/2))**0\/(v**(1\/4))**(-29)) assuming v is positive.\nAnswer: v**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - -2 - (-346 - 1). Suppose 0*m = -4*m + w. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -8. Let w = 26\/9 + -32\/9. Let v = 11.7 + -11. Which is the nearest to v?  (a) n  (b) w  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2. Let y(h) be the first derivative of h**6\/36 - 8*h**3\/3 + 3. Let i(n) be the third derivative of y(n). What is g(i(q))?\nAnswer: 200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3 = -5*j + 3, -j = -3*k - 6. Suppose -m - 2*m - 3 = j. Let q(c) = -3*c**3. What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 3  (c) 1096  (d) 0.01  (e) 0.3  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3742, -3, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2155, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -245874*o*w**2 + o*w - 132472889*o - 29*w**2 - 2*w wrt w?\nAnswer: -491748*o*w + o - 58*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20497419 at least as big as 20497424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (p + 0*p - 7*p + (-p - 1 + 1)*(0 - 1 + 0))*(1390 - 736 - 914)*(p + 2*p - p) in the form f*p + z + v*p**2 and give v.\nAnswer: 2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 134.2492 millilitres?\nAnswer: 0.1342492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 107 = -111 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3)\/(-6))\/((-2 - -1)\/(-166))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 - 1)*(3 - 5 + 1) + 3 - 4 + 13 - 12 + 16 + 15 - 4 + 3 - 3)*(7*d - 4*d - 4*d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6838 divided by 6838\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8284, -16556, -24828, -33100?\n\"Answer: -8272*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 50 = -10. Let i = b + 44. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1 - -2)*-1)\/1. Let y be -7 - (3 - (1 - z)). Let p = y + 13. Solve p*f - 1 = -4*m, 3*m - f + 2 = -2*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 10*p**2 - 19*p + 23. Give k(7).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210 = 4*x + 2*g, 0 = 1107*x - 1112*x - 5*g + 250 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -242 - 14*q**2 + 242 + 25*q**2 - 20*q**2. Let a(n) = -8*n - 9. What is a(g(y))?\nAnswer: 72*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 265\/50)*300\/(-330)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 148 - 116. Suppose -38*l + 36 = -s*l. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/3*12\/(-10). Let n(p) = p**2 - p - 4. Let j be n(w). Let u = -3 + j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 0.294, -926, -10\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) -2  (c) 8  (d) 27  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + a = -3*z - 9, 0 = 5*a - 15. Let q = z - -3. Find the first derivative of -2 + p**q - 2 - 5 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*i - 8. Suppose 4*c + 2*w = 41 - i, 0 = -c - 2*w + 16. Suppose -9 = -c*b + 3*b. Solve 2*j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11274, -12997, -14718, -16437, -18154?\nAnswer: -19869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 471837107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, -5, -3, 4, 6\/11, 1.\nAnswer: -5, -3, -0.03, 6\/11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*g - 2751855 + 2762877 = 0 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -0.11, 0, 30, 4, 6?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 365745 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, r: 11}. What is prob of picking 1 t and 2 r?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1156 - -6)\/(-7) + 1. Let a = -156 - s. Calculate the smallest common multiple of 7 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/(-11) - (-2 + -281). Suppose 0 = -40*a - 1 + r. Solve a*o = 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 665 + -7309\/11. Let f = -0.1 + 0. What is the closest to f in 1, 0.18, r?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -6*i**2 + 0*i + 0*i. Let x(s) = -2*s**2 + 5*s - 5. Let o(m) = m**2 - 3*m + 3. Let c(z) = -10*o(z) - 6*x(z). Determine n(c(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -34 + -205237?\nAnswer: -205272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.38 - 2.98. Suppose 0 = -3*o - 2*o + 20. Sort -2\/21, i, o in increasing order.\nAnswer: -2\/21, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**2 + c - 1. Suppose 2*i - 7 - 1 = 0. Let p be (-915)\/(-90) + 2\/(-12)*1. Let n(y) = -p*y + 3 + 3*y + 3*y + 2*y - 5*y**2. What is i*n(j) + 11*x(j)?\nAnswer: 2*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 26700.15 millilitres?\nAnswer: 26.70015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 12:19 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -13265722 - 2784228. Let u = -14 + 18. Suppose -3*s + q = u*q - 3209994, 3*s = -5*q + r. What is s rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -5*p - 166, j + 4*p - 9*p = 49. Let f = -255 - -387. Suppose -42*q + f = -j*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p**2 - 3*p + 3. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38049 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.032 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4 - 2*m - 4. Let v(x) = -420*x**2 - 5*x - 48. Let k(p) = -140*p**2 - 2*p - 18. Let w(g) = 8*k(g) - 3*v(g). Give w(n(y)).\nAnswer: 560*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1241 - -1245. Sort -2, 0, k, 3 in decreasing order.\nAnswer: k, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1213 + -10915\/9. Let f = 125 + -60. Which is the second biggest value?  (a) 0.3  (b) f  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -67*i**3*w + 2*i**3 + 2*i**2*w - 28*i**2 + 2*w wrt i?\nAnswer: -402*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -1337*r + 16042. Give d(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -13*z**2 - 3*z - 24. Let f(k) = -13*k**2 - 2*k - 23. Let x = 40 - 42. Let b(m) = x*v(m) + 3*f(m). What is the derivative of b(s) wrt s?\nAnswer: -26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/9, -4\/3, 0.01, -7, 0 in descending order.\nAnswer: 5, 0.01, 0, -2\/9, -4\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -301*o**3 - 2*o**2 + 2*o + 8614 wrt o?\nAnswer: -903*o**2 - 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/13 less than 20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -7*s + 40. Let c(f) = -f**3 + 6*f**2 - 7*f - 2. Let d(z) = -z**3 + 7*z**2 - 6*z - 2. Let m(u) = -2*c(u) + 3*d(u). What is the tens digit of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = k + 498, 0 = -5*k - d + 2*d - 2498. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**4\/7 + 4*j**3\/7 - 48*j**2\/7 - 320*j\/7 - 512\/7 = 0?\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 14*f + 21. Let j = -1756 - -1769. What is u(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4247 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {t: 3, y: 4, v: 11}.\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 7. What is the least common multiple of i and (-1)\/1 - (-3 - 6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -1\/1620613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1879  (b) -2  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -204.42 - -3.42. Let m = j - -179.8. Let v = m + 21. Which is the closest to 0?  (a) 11  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppddopdddppeddod. Give prob of picking 2 p and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -2 + 18. Let o = t + -2. Let g(c) = -3*c**2 + o*c**2 + 0*c**2. Let r(z) = -z**2. Give r(g(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-3)*8 + (-52)\/(-156). Solve 2*b - 5*b - 15 = -h*v, -5*b + 4*v = 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*2*sqrt(385))\/sqrt(7))\/((sqrt(150)\/sqrt(80))\/sqrt(6))*6*3)**2.\nAnswer: 3649536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 2 - (-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -79*m. Let c(a) be the first derivative of 17*a**3 + 3317. Determine c(g(u)).\nAnswer: 318291*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 6*v**3 - 5*v + 118. Let l(t) = -9*t**3 + 7*t - 178. Calculate 7*a(j) + 5*l(j).\nAnswer: -3*j**3 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/5 + 23*s**2\/5 - 32*s + 60.\nAnswer: -(s - 10)**2*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 76  (b) -0.2  (c) -2\/7  (d) -2\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1110 = -36*u + 69*u. Calculate the least common multiple of u and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/2)*k*k**(-17))\/(k\/(k**(2\/11)*k)*k*(k\/(k**4*k))\/k) assuming k is positive.\nAnswer: k**(-271\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -q**6\/10 - 21*q**5\/25 - 12*q**4\/5 - 8*q**3\/5 + 24*q**2\/5 + 48*q\/5 + 61. Factor h(p).\nAnswer: -3*(p - 1)*(p + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 7*a + 9*a - 7*a + 5. Let x(r) = -414*r - 1247. Let s be x(-3). Calculate i(s).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) -4  (c) 1045  (d) -3  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -376 + 801*i**4 + 146 - 84 - 641 wrt i?\nAnswer: 3204*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 849, 853, 857, 861?\n\"Answer: 4*a + 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 3*c - 69, 8*c + 907 - 1070 = i for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3952, 4, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 372533329, 372533330, 372533333, 372533338, 372533345?\n\"Answer: g**2 - 2*g + 372533330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9\/70154 + 581331085\/280616. Let w = x - 2076. Calculate the common denominator of 29\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d - 14 = -4*d - 58. Sort 0, -3, -1, -5, d.\nAnswer: -5, -3, d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 + -22. Sort 19, n, -1, 3 in descending order.\nAnswer: 19, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1068 a factor of 5041549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(42) - sqrt(252)\/sqrt(6))\/sqrt(7) - (sqrt(6) - (-2*sqrt(12))\/sqrt(2)))\/(2*sqrt(21)\/sqrt(7) - (sqrt(3) - sqrt(384)\/sqrt(8))))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 - 30. What is the remainder when 74 is divided by 26 - (-2)\/(-6)*g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 906 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2438, -2440, -2444, -2450, -2458, -2468, -2480?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p - 10. Let k be f(-5). Let n = 0 - k. Let l(g) = -g**3 - 5*g**2 + 4. Let t be l(n). Solve 0 = -2*y + 2*o + 1 + 5, 0 = -y - t*o - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*y + 893, 0 = -2*y + 1566*i - 1571*i + 873. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 229039, 458737, 688435, 918133, 1147831, 1377529?\n\"Answer: 229698*f - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5273868 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -75  (c) 87337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2 - 229444*u + 10316880.\nAnswer: 4*(u - 57316)*(u - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/2*-1104*(-96)\/4608\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 141566587 - -5?\nAnswer: 141566603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-2)*(1 + -3). Let c = 2 + g. Let m be (-1)\/3*(c - 2). Put 4, m, 0 in ascending order.\nAnswer: 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - n = -5*n - 1431876, -715946 = -2*j + 4*n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (9 + -17 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1340*p - 44 - 41 + 85.\nAnswer: -1340*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005315 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + 1)*-3 + 0 + (sqrt(76) + 1 + sqrt(76))**2 + ((-2*sqrt(76)*1 - sqrt(76))*1)**2 + -1.\nAnswer: 2*sqrt(19) + 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2\/4 - 105*k\/2 + 108.\nAnswer: -3*(k - 2)*(k + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 32*h + 305. Let o be a(38). What is the highest common divisor of 33 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -597*c**4 + 1755*c**3 + 3690*c**2 - 4560*c - 288 = 0.\nAnswer: -2, -12\/199, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (10 - 3)) + (-5 - 4 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 + 3*y + 1. Suppose 6 - 2 = -2*w. Let v be d(w). Let n(s) = s**2 - s + 2. What are the prime factors of n(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -203, -404, -597, -776, -935?\n\"Answer: j**3 - 2*j**2 - 202*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 10\/(-4))*(-5200)\/(-78). Calculate the highest common divisor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 1 = -2. Suppose 2*f = 2*x - 0*x + 8, -x + 12 = 3*f. Let u be 1\/(-3) + 22\/(-6). Sort z, u, x in descending order.\nAnswer: x, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327797779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 474229.\nAnswer: -8\/474229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 382, 756, 1132, 1510, 1890, 2272, 2656?\nAnswer: 3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 256896 and 29952.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3552956 a multiple of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/11, 0.2, -87\/2, 2\/23, 4, 2, -2\/67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 32*v + 14*v**4 - 32*v + 118*v**4 - 413 + 159 wrt v?\nAnswer: 528*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 4*k - 2*k)*(-2 + k**3 + 0 + k + 9*k).\nAnswer: -k**4 - 10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -49465 divided by 31?\nAnswer: -49465\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.92516 litres to millilitres.\nAnswer: 61925.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - 17*b - 75. Determine t(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 189 * 0.016.\nAnswer: 3.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1218723539 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 9611*g**3 - 3*g**2 + 6*g - 18. Let m(l) = -941876*l**3 + 295*l**2 - 590*l + 1770. What is -6*m(z) - 590*s(z)?\nAnswer: -19234*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 879\/1615?\nAnswer: 879\/1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 9*f + 3*f. Let r = -64\/93 - -2\/93. Let m = -0.06 - -2.06. Which is the closest to r?  (a) f  (b) m  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214*k - 1843 = 4363. What is the highest common divisor of k and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.22 - -0.02. What is the nearest to 1 in 2, b, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/8  (b) -10.2  (c) -8  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -460151553*j*o**2 - 397263*o**2 + 254*o wrt j?\nAnswer: -460151553*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -31364000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 5*d**3 - 12*d**2 - 75*d + 743. What is y(8)?\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 + 0 + 2 - 4) + -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 243 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 147 = z - 153, -3*z + 13 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6893 (base 12) to base 11\nAnswer: 8814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(240)\/sqrt(4))\/(-1*sqrt(588) - sqrt(588)) - (sqrt(90)\/sqrt(2)*4)\/(-3*sqrt(27)\/sqrt(3))) + 3.\nAnswer: 22*sqrt(5)\/21 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in 17, -1\/19, 1\/35?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 2:24 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 17*a + 13*a - 143, 5*a = 5. Suppose -35 = -g - 3*d, 2*d = -4*g + 5*d + 65. Calculate the smallest common multiple of 9\/6 - j\/(-6) and g.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 364, 365, 366?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 - -1503?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - 0) + (-60)\/15. Let k = -2 + -6. What is the biggest value in 2, -5, k, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) 21.9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 276, 213, 156, 105, 60?\n\"Answer: 3*f**2 - 72*f + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 13*p - 19. Let d be w(-13). Let n = d - -21. Let o(i) = -2*i + 4*i**3 + i**2 - 2*i**2 + i + n*i**2. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -100\/7?\nAnswer: -100\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -446*w + 1163?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/4)\/(6\/88). What is the remainder when 31 is divided by y*(1\/2 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -4631*u + 1890. Is y(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 4*w + 2. Let a(t) = 3*t - 1. Let h be a(2). Let y be r(h). Calculate the least common multiple of y*((-8)\/6 - -1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (7 + -2)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -1) + -275 + 242?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5\/14, -3, 95, 0.5?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 + 21*a + 61. Give p(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/13*x**3 + 30\/13*x + 50\/13 - 18\/13*x**2 = 0 for x.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1310 and 40?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*h + 39*h = 2 + 649 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 64\/(-40) + (-2)\/(-1). What is the second biggest value in f, 15, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25379.\nAnswer: 41, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*n + 4*b + 2, 4*b - 31 = 3*n. Let h(p) = p**2 - p - 2. Let x be h(3). Let s = x - n. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 5*a - 13350, 0 = 4*a + 19*d - 15*d - 10640. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 (base 6) in base 11?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3730 and 1250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2261194021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 53*u**2 - 405*u - 1080. What is d(43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 12:08 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 29785088 divided by 1861568\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -464?\nAnswer: 1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of v**4\/3 + 5*v**3\/6 - 3*v**2. Find the first derivative of m(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-256)\/(-18) - 6\/27. Let q = -9 + y. Suppose -l + 0*b + 10 = 2*b, 5*b = 20. Solve -g + q*i = -l*g + 18, -g - 2*i = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 147*a + 152*a + 147*a + 125*a**2 + 2 - 451*a to c*a**2 + r*a + z and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 7*p**3 + 10 - 9.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 672 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/1*(39\/(-6))\/13. Does 8 divide 3 + 305 - t\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - f + 1 = -2*v, 4*f - 4 = 0. Let w(p) = -4 + p + 4 - p**2 + 2 + 0*p. Give w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 2:41 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*s**3 - 202*s**3 + 2785606*s - 2785606*s.\nAnswer: -218*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 - 20269*k**2 + 54 - 20.\nAnswer: -20269*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2010947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k + 0 + 0)*(0*k - 4*k + 2*k) - 61*k**2 - 15*k**2 + k**2 + 0*k**2 - 6*k**2 + 3*k**2 in the form l*k + c*k**2 + j and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 7:16 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 6*r - 18. What is g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*r - 12 = 0, -36*d + 41*d - 132 = 4*r. Calculate the remainder when 260 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 9, f: 3}. Give prob of picking 3 l.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 465.99999659 - 466. What is v rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 14 = 5*r. Let s be (117 - 1)\/((-4)\/r). Let a = s + -50. Solve w = -w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.004697171 to four dps.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 2 - 3*c**2 - c**2 + 6*c**2 as v*c**2 + n*c + h and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -303*f**5*k**3 - f**5 + 41*f*k**3 - 2*f - 3*k**3 wrt f.\nAnswer: -6060*f**3*k**3 - 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 93946093, 93946097, 93946103, 93946111, 93946121, 93946133, 93946147?\n\"Answer: f**2 + f + 93946091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19944, 39893, 59842?\nAnswer: 79791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3870\/1161)\/(4\/(-10)*(-15)\/(-81)*1)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 2:35 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -205, -201, -181, -145, -93?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173539?\nAnswer: 173539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x + 1. Let q be r(1). Let j = q + -3. Let k(p) = p**2 + 78*p - 1960. Let o be k(-98). Solve o = -t - 0*t - j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 110502548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2 = 2*k, -6*k + 2*k + 4 = -5*g. Factor 1\/2*y**2 - 1\/4*y**5 + 1\/4*y + 0 - 1\/2*y**4 + g*y**3.\nAnswer: -y*(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17670 <= -18617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*2*((sqrt(1573)*-2 + 4 - 6*-2*sqrt(1573))**2 + -2).\nAnswer: -943884 - 5280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9075, -9073, -9071?\n\"Answer: 2*y - 9077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19623 and 134943?\nAnswer: 28472973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 12*m - 73. Calculate the remainder when 24 is divided by v(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n**3 + 23*n**2 + 3*n - 19. Determine m(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-325 - 96*h + 325)*(0 + 4 - 2)*(-3 + 1 + 0)*(3*h - 3*h + 2*h) to t + c*h**2 + u*h and give c.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 216 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 623*z**6\/6 + 3*z**2\/2 + 22*z - 482. Find the second derivative of i(k) wrt k.\nAnswer: 12460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 304645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1938 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(176) - (sqrt(176) + sqrt(176)*1*-1 + sqrt(176) + sqrt(176))).\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/6)\/((-14)\/(-84)). Let n = -16 + 15.7. What is the closest to 9 in 4\/5, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 7, -3\/8, 15, -2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*u + 7. What is the third derivative of -14*l**u - 10*l**3 - 3*l**4 + 10*l**3 - l**2 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3885*n + 3884*n = -3*p + 17, 0 = -5*p - n + 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 455 or 9995\/22?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/214 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 30515\/(-122876) + 2\/8. Let j = -92178\/12649 + h. Which is bigger: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 286*r - 51651. What is g(171)?\nAnswer: -2745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17065, -17051, -17027, -16993, -16949, -16895?\nAnswer: -16831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6317 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 198, 388, 566, 726, 862?\n\"Answer: -g**3 + 197*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 810 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 9*v. Let p(s) = -11*s. Suppose 2*y - 152 = -146. Let k(r) = y*p(r) + 4*x(r). Let f(a) = -8*a. Calculate f(k(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34 + 13 + 30 - 4 + 23)*(3*o**3 + 2*o**3 - 16*o**3).\nAnswer: -1056*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - 5*w + 6. Let s = -19 - -14. Calculate x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/8 in 3, -29\/10, -5?\nAnswer: -29\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 minus -788034021?\nAnswer: 788033967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (286\/508508)\/((-62)\/(-868))?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3169*b**3*q - 31436*b**3 - 2*q**2 with respect to q.\nAnswer: -3169*b**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -59*i**6\/6 + 37*i**2\/2 + 24. What is the second derivative of v(x) wrt x?\nAnswer: -1180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010110 + -1?\nAnswer: 101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61517 by -4.\nAnswer: -61517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/sqrt(112) - (sqrt(77) + sqrt(77) + sqrt(77)*1)\/sqrt(7) - (5*sqrt(132)*-2)\/sqrt(12))**2.\nAnswer: 9251\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -56 + 58. Suppose 0 = z - a*o - 1, -3*o + 17 = 5*z - o. Solve 8 = -z*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 2\/69399045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -29*d - 1198. What is y(-41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 20 = 5*u. Let r = -14 + u. Let j(k) = -k**2 + 8*k - 9. Let a be j(r). Put 0.7, a, -4 in ascending order.\nAnswer: -4, 0.7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 1013*q**2 + 3*q - 4. Let g be f(-3). Let d = 832568\/27 - 12906371\/594. Let z = g - d. What is the common denominator of z and 75\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/440)\/(2\/(-11))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 3, -2, 63 in increasing order.\nAnswer: -4, -2, 3, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9 - 13 - -22)\/(5\/((-120)\/(-9))). Calculate the greatest common divisor of 276 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - n + 3*n = -14, 4*r + 3*n + 20 = 0. Sort -4, r, 5.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**5 + 7*q**4 - 6*q**3 + 3*q**2 - 5*q. Let s(o) = -o**5 - 8*o**4 + 7*o**3 - 4*o**2 + 6*o. Let u(a) = 6*r(a) + 5*s(a). Factor u(v).\nAnswer: v**2*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2\/7, 3.1627, 1 in increasing order.\nAnswer: -2\/7, 0.1, 1, 3.1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {i: 1, m: 6, w: 1, h: 1, q: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/85)\/(3 + 68\/(-20)). Let j = 0 - 1. Are u and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1737.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 = 1637\/622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32358 is divided by 261.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*h*p**4 + 18*h*p + 3*p**5 + 177*p**2 + 402*p wrt p?\nAnswer: -108*h*p**2 + 60*p**3 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6*4\/(-6))\/2)\/((-676)\/(-3042)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/744 and 161\/1860.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -1149b3?\nAnswer: 1149b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12.1 and 187.678.\nAnswer: 2270.9038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -416.410023 + -3\nAnswer: -419.410023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 122893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyeyyyeyy. What is prob of picking 1 y and 1 e?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 35380?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 12) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4*q + 120, h = -4*q + 5*q + 36. Let t = -101\/3 - q. Let n = 2 + -7. What is the nearest to 0.1 in n, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1217 - -1187. Which is the closest to 0?  (a) 3\/7  (b) -2\/9  (c) m  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 547954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 - 8*p**3 + 4*p**2.\nAnswer: 4*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*o**3 - 2*o - 21*o**3 + 2*o**3 + 0 - 3 + 9*o to z*o**2 + h*o + x*o**3 + k and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -224212413 (base 5) to base 2.\nAnswer: -11110101111010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**2 + m**5 - 4*m**2 + (0*m**4 - m**4 - 2*m**4)*(-3*m + 3*m + 2*m) + (-2*m**2 + m**2 - m**2)*(-130*m - 2 + 130*m - 34*m**2)*(m - m + 3*m).\nAnswer: 199*m**5 + 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0, -11, -0.07?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1311 divided by -1462.\nAnswer: -1311\/1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -208300850 and 0.02456.\nAnswer: -208300849.97544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23877 + 26014. Calculate the remainder when o is divided by 163.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*s + 34753 + 127457 = 0. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -10*q**3\/17 - 8*q**2\/17 + 62*q\/17 - 12\/17 = 0?\nAnswer: -3, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4901 + -4899. Solve -6 = 5*p - z*f, -51*f - 6 = p - 53*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (9 - 5) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -8*m - 41. Let c(a) = 3*a + 14. Suppose -y + 11 = -2*y. Let l(r) = y*c(r) - 4*j(r). Calculate the smallest common multiple of 10 and l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1, 3, -13\/106, 0.1, 4, -111, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1128.5 times -0.4\nAnswer: 451.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2 - 6)\/(-8) - 147\/(-2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egp when three letters picked without replacement from peeepppegpegegp.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*s - 6358 = 44*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 + (51 - 99) + -65.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, -4, -3\/20, -2 in ascending order.\nAnswer: -52, -4, -2, -3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**2 - 6*a. Let p(x) = -x**2 - 6*x. Let b(w) = 2*k(w) - 3*p(w). Let z be b(6). Solve z = -r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/8 and 91\/15094.\nAnswer: 60376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 0. Put 4, 0, c in descending order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*r - r - 90 = 0, -5*r + 160 = -5*x. Let w = 53 + x. Is -2*2\/w - (-2952)\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 142*k - 6960. What is v(49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4867921502.\nAnswer: 2, 37, 139, 473257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70720 = -27*h + 44*h. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -89, -30, 31, 94, 159?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from czgcbquucuz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (87\/(-232))\/((-6)\/144).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1249.999997982 - 1250. What is a rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 72*d - d - 7*d + d - 2 + 2 + (2 - 1 - 2)*(-2*d + 2*d + d) + 3*d - 5*d - 9*d - 2*d - 1 + 1 + d - 2*d + 2*d.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1976 - 1960 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.122 * 9025.\nAnswer: -217701.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 2*t + 2*t, -44*t - 5*k - 3 = -20*t - 20*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 68, 49, 12, -49, -140, -267, -436?\n\"Answer: -w**3 - 3*w**2 - 3*w + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 + 10495*z**2 - 6481400*z + 1247382000.\nAnswer: -5*(z - 1179)*(z - 460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -3561096?\nAnswer: 3561092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2406337433487.05 and 6?\nAnswer: 2406337433493.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -1.578?\nAnswer: -0.1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**2 - l + 1. Let o be w(1). Suppose -5*i + 5*z + 11 = 1, -i + o*z - 8 = 0. Suppose 5*f - i*k = -2*k + 480, f + k - 98 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-2)\/3 - (-1)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -1  (b) 10594  (c) -1323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25184913 > 25184913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1164 by -563.\nAnswer: 1164\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j. Let l(o) = 273760*o**2. Calculate c(l(d)).\nAnswer: 1368800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/7 + (-397)\/7. Let d = -967\/60 - -47\/3. Calculate the common denominator of d and (r\/(-4) + -3)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-546)\/24)\/((-2)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 801515550 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*k**5 - 3*k**4 - 10*k**3 - 44683*k**2 wrt k.\nAnswer: -660*k**2 - 72*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2578414165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -60393*m**3 - 154640 wrt m.\nAnswer: -181179*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 29463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from qppyqqqqpqqypq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 9*i + 7567 = 4*z, 0 = 2*z - 4*i - 3778. Let l = z + -22711\/12. Find the common denominator of 226\/360 - 4\/(-18) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 263 is divided by 170.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - sqrt(66)\/(sqrt(6) + sqrt(6) + sqrt(216))) + sqrt(11) + ((sqrt(77) + sqrt(77) + sqrt(77)*-1)\/sqrt(7))**2 + (sqrt(396)*-2)\/(2*sqrt(400)).\nAnswer: 63*sqrt(11)\/40 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 991 a factor of 98375579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/3)\/(2\/3). Suppose 11 = i + s. What is the remainder when 0 - (-26 + -2 + -1) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + z - 63 = 3*d, 4*z + 4*d - 116 = 0. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w + 3. Let m(q) = q**3 + 4*q**2 + 2*q. Let n be m(w). Suppose 0 = -0*o + n*o - 30. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/18)\/((-6)\/(-27)). Let n be 8\/(-10)*(-9 - 6). Let p(o) = 33 - 11 - 11 - n - 5*o. Calculate p(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28163*a**2 + 1462*a + 28127*a**2 - 56291*a**2 - 1)*(-a - 3*a + 5*a).\nAnswer: -a**3 + 1462*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3\/7 - 15186*m**2\/7 + 19504*m - 121344\/7.\nAnswer: 2*(m - 7584)*(m - 8)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -355*s + 17. Let y(z) = -1509*z + 68. Let q(a) = -17*r(a) + 4*y(a). Suppose 5*o + 50 = 2*t, -2*t + 26 = -4*o - 12. Give q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v + 1. Let h(q) = 5*q - 2*q + 2 + 3*q + 4*q. Let l(g) = -4*c(g) + h(g). What is l(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -5. Suppose -3 - 37 = -d*q. Suppose -4*s + 4 + q = 0. Sort s, -4, -11 in decreasing order.\nAnswer: s, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 642 is divided by 74.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42498 divided by -15.\nAnswer: -14166\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - c + 78 = -86, -6 = -3*c. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/3))**(-27))**(-13\/6)*j**0*j*j**3*(((j\/((j**(2\/3)*j*j*j*j)\/j))\/j)\/j)**(-2\/61) assuming j is positive.\nAnswer: j**(7897\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 544934 by 1.\nAnswer: 544934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -229?  (a) 0.7  (b) -3\/2  (c) -1  (d) 3\/7  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**4*r)**14)**(3\/5)*((r\/r**(2\/5))**(-17))**(3\/7) assuming r is positive.\nAnswer: r**(1317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4206 + 809 = 295*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*y = 0, -5*y - y + 3*y + 4 + 4 = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32 - 32. Let l(a) = a**2 + a - 165. Let j be l(q). Let f be (-1)\/3 - (-11)\/j. What is the third smallest value in 2, 1.1, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14107801.\nAnswer: 14107801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2. Let b(a) be the third derivative of -65*a**4\/24 + a**3\/6 - a**2 - 47*a. Calculate b(c(n)).\nAnswer: -65*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 164182.741 - 164468. Let b = -285 - c. Round b to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 + 5 + -7)*(-1 + 1). Let n(b) be the first derivative of 1\/11*b**4 - 5 + 2\/33*b**3 + 0*b + 2\/55*b**5 + l*b**2. Factor n(u).\nAnswer: 2*u**2*(u + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + t + 4. Let k(j) = j**3 - 2*j**2 - 44*j - 34. Let o be k(8). Determine z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 710.7 - 711. What is the second biggest value in f, -15, -4\/3, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x*x**(-5\/6)*x*x)*x*x*x**(1\/6)*x**10*x**(-4\/5))**25 assuming x is positive.\nAnswer: x**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 305 (base 6) to base 15.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9 + (2 - 4)\/1. Solve 2*v = 4*q - v + m, -3*q = -2*v + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*w**4*x + 4*w**3*x + 13*w**2*x - 3*w*x - 3*w + 23*x wrt w?\nAnswer: 96*w**2*x + 24*w*x + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzzzzzzzzzzzzppzzz. Give prob of picking 2 p and 1 z.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of c**3\/3 - 11*c**2\/2 + 975*c. Let t(g) = -6*g**2. Give w(t(z)).\nAnswer: -12*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65223 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (224\/98)\/(12\/(-42)). Which is the third smallest value?  (a) 4  (b) -5  (c) w  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/((24\/40)\/((-2)\/(-20))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/6)\/((-5)\/345). Let f = -19 - b. Suppose 2*j - 4*u - 18 = 0, -3*j + f*u = -26 - 3. What is the common denominator of j and 26\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*w + 1. Suppose -p = -3*p - 12. Let b = w - p. Solve x - 4*r + b*r - 4 = 0, x + 5*r + 20 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -144\/7, 0.1, 5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 7 = -2, -f = -2*p - 9. Let w = f - -20. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 31*s + 262 = -612 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.779 * -0.1\nAnswer: 0.0779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -97798*o - 1075782. Give b(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 583 + -553. Calculate the greatest common divisor of u and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16\/7 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-948)\/16)\/((-9)\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26955459 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -0*u + 3*l - 42, u + 23 = -2*l. Let f be (u + -1)*(-1)\/3. Is 712\/6 - 4\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5670 - 5668. Sort 0, 7, -11, 1, m.\nAnswer: -11, 0, 1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8*4\/((-16)\/(-5)). Let o be 2\/g + (-30)\/25. Which is greater: o or -1\/66?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 - 292*a**2 + 2705*a - 1231. Determine m(-301).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k**3 + 9*k**2 + 7. Suppose -4 = -2*h + h. Let n(m) = -3 + 3 - h*m**2 + m**3 + 1 - 4. What is -3*f(o) - 7*n(o)?\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 3*a - 4*a)*(0 + 2 + 1) - a - 966 + 1649 - 990.\nAnswer: 2*a - 307","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 16. Suppose 0 = 4*z - i*z - 9. Let u(p) = p**2 + 3*p + 4. Let k be u(z). Solve -2*r + 0*r = -k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -5*o, 27*b - 34*b - 2*o - 2 - 34 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 11:33 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8319 - 8319. Which is smaller: b or 1602?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 6. Suppose -2*u + 5 = -j. What is the biggest value in 3\/7, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + g**2 + 0*g**2. Let a(z) = -8*z**2. Let q(m) = 2*a(m) + 7*h(m). Let l(x) = 4*x**2 - 2*x**2 - x**2. Determine q(l(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.85 + -2.85. Let s = 3.3 - 1.3. Which is the third smallest value?  (a) -11  (b) -0.3  (c) y  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -9*r**3 - 6*r**2 + 6*r + 4. Let x(p) = -p**3 - p**2 + p. Give u(d) - 6*x(d).\nAnswer: -3*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + sqrt(5) + sqrt(45) - (3 + (-5*sqrt(5)*-2)**2).\nAnswer: -501 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 88893381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - 2\/5*(-9)\/(153\/340).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*a = 4*n - 10, -4*a + 55 = n. Solve -5*f = a - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((1 - -1) + -2)\/1. Let t(w) = -5*w**2 + 95*w + 18. Let r be t(16). Suppose 4*n = -4*x + 352, -3*x + r = -z*x + n. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-24)*12)\/(26\/((-1820)\/1302))\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -64*b + 63*b - 0. Solve -4*c + 1 - 4 = -h, 5*c + 25 = -b*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 644 divided by 4\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/1625102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69472 and 14696?\nAnswer: 764192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o + 20 = -9*o, 0*o - 29 = -17*f + 13*f + 7*o for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 591.2742 rounded to 1 dp?\nAnswer: 591.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*x + 33 = 0, 5*x + 61 = 6*p - 2*p. Suppose 0 = -3*o + p - 0. Factor 10\/9*g**4 + 10\/9*g + 20\/9*g**2 + 20\/9*g**o + 2\/9 + 2\/9*g**5.\nAnswer: 2*(g + 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1742417140.\nAnswer: 2, 5, 127, 685991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 166 + 4?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 198722.7m to nanometers.\nAnswer: 198722700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 + l - l + (-5*l**4 - l**4 + 3*l**4)*(-2*l + l - l) + (l + 2*l**2 - l)*(l**3 - 4*l**3 + 4*l**3) - 4*l**5 - 3*l**5 - 9*l**5.\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t**2 + 2*t - 5. Let h(l) = l. Let u(d) = 4*h(d) - 2*z(d). Find the first derivative of u(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -341525.11409 + 0.0416?\nAnswer: -341525.07249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b**3 - 15*b**2 - 24*b. Let f(r) = -7*r**3 - 30*r**2 - 49*r - 1. Let o(g) = 3*f(g) - 5*x(g). List the prime factors of o(-15).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - -1)*(9 + -212). Let k = 318 - x. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 13*u**2 + 2*u**3 - 1 + 12 - 3*u**3. Suppose -2*g = 5*c - 8 - 7, 0 = -c + 5*g + 30. What is the smallest common multiple of c and n(13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1eca + -8?\nAnswer: -1ed2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/6  (b) 13\/3  (c) -33  (d) 4  (e) -2  (f) 2\/5  (g) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.053 - 9.053. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*n**2 + 637*n - 637*n in the form k*n**2 + q + g*n and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 3*w**2 - 2*w - 3. Let x be q(4). Suppose 5*g = 5*h + 10, -4*g + 2 = -x*g - h. Suppose -6*s + g*s + 1716 = 0. Is s a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588 is divided by 203.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11311 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -6. Let t = -16 + v. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 4)*(-s + 3 - 3) - 30*s + 41*s - 25*s to the form b + t*s and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.020391*-8.16\nAnswer: 0.16639056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 45 = 8*n. Suppose 32 = 4*w - 3*u, u - n = -w + 2*u. Suppose -w*y + 10*y = 70. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13336960.796 - 13336892.03996659. Let t = a - -7.24396039. Let g = 76 - t. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5 - 2*p**3 + p**3 - p**3 - 43*p**2 + 44*p**2 + 2*p. Let j be w(0). Put j, 4, 0, -2 in decreasing order.\nAnswer: j, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 8, q: 5, o: 2}. What is prob of sequence qoq?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 957949 greater than 957950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0)**(-1\/6)\/(l**(-2\/5)\/l*(l\/(l\/(l**(2\/15)*l)))\/l) assuming l is positive.\nAnswer: l**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kmkm when four letters picked without replacement from {m: 2, f: 15, k: 3}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**5 + 32*l**4 + 56*l**3 - 32*l**2 - 60*l = 0.\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 2:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131517.\nAnswer: 3, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*h = 33*h + 12. Let t be -3*h\/(-6)*(-2)\/(-12). Factor -1\/8*g**4 - 1\/8 - 3\/4*g**2 + 1\/2*g**3 + t*g.\nAnswer: -(g - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -96699 - 0.4?\nAnswer: -96699.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1857723 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 11:02 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 2*t = 2*t + 3, -5*f = 3*t + 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -0.0271, -1\/5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x. Let n be (5 - 3)*15\/(-6). Let o(r) = -3*r. Calculate n*o(d) + 6*l(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21977*i**3 - 77*i + 161*i - 84*i + 21995*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 107, 857, 2905, 6905, 13511?\n\"Answer: 109*n**3 - 5*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -100147.\nAnswer: -22\/100147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(9\/6 - -3). Put j, 18, -7\/4 in increasing order.\nAnswer: -7\/4, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33981377*f**5*x**2 + f**2*x**3 - 3*f*x**3 + 29*f*x**2 + 290*f*x + 2*f + 7*x wrt f.\nAnswer: 679627540*f**3*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -13259874*13\nAnswer: -172378362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + r - 30. Let y be c(0). Let w be 20\/(-2)*(-15)\/y. Sort w, 0, 2.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 48 = -2. Let n = 17 + w. Calculate the smallest common multiple of 4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 761*x - 22023 - 1568 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/160 and 53\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k - 12. Let v be i(-12). Let g(l) = 2*l - 4. Let o be g(v). Let j = o - -23. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3425 = -5*z + 5*h, 5*h - 709 = z - 2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 34 = 5*x. What is the remainder when 67 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 2*w - 14, 4*n - 22 = 4*w + 2. Let a(x) be the first derivative of -10*x**3\/3 + x + 4828. Calculate a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, -1, -3126.\nAnswer: -3126, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + -1*(6 - 3). Let g = 1 - a. Solve 2*j + 5 = -g*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199451?\nAnswer: 7, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (28\/1)\/2 + 1. Suppose 0 = -5*d + 3*h + 15, -5*d = -4*h - 0*h - y. Suppose 2*w - 3 = d. Solve 0 = w*f + 8 + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*v - 4*v. Let k = 331\/6 - 55. What is the biggest value in 0.4, k, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43302028 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b. Let q(y) = 188059*y. Determine c(q(u)).\nAnswer: 376118*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4253 - -0.3\nAnswer: 4253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 20615*y**3 - 4658935*y**2 + 263220505*y + 702295 = 0.\nAnswer: -11\/4123, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1771*i**2\/3 - 161167*i\/3 - 182.\nAnswer: -(i + 91)*(1771*i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h**4 + 19 + h + 21 - 38 to s*h**4 + m*h + l*h**2 + b*h**3 + v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2033491309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**3\/5 + 8478*l**2\/5 - 2387616*l + 1117237240 = 0.\nAnswer: 1330, 1579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -116*p + 120*p. Suppose 5*m - 23 = -p*d, 13*m = 12*m - 3*d + 9. Solve 0 = u - 3*i + 7, m*u + i - 5*i = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -651558*r**5 - 12*r**2 + 4820*r?\nAnswer: -39093480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 - -108. Determine s so that -14 - s**h + 2*s**2 + 6*s + 6 + s**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 952 - -35b?\nAnswer: 10b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 883, 1764, 2631, 3478, 4299?\n\"Answer: -w**3 - w**2 + 891*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*g - 35 - 6, -17 = -d - 4*g. Suppose 4*y + 3*r - 89 = 0, 14*y - 4*r - 27 = 13*y. Let b = d - y. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -0.0188006, 5 in descending order.\nAnswer: 5, 2\/9, -0.0188006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 4*c**2 + 2*c - 3. Let m = 9 + -10. Let a = 5 + m. Calculate z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + 14*j - 2*j**2 - 39 + 6*j**2 - 3*j**2. Let v be t(3). Solve -5*w = -0*w - 4*k + v, -w = -5*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -16*b + 1289. Let q be s(79). Solve 12 - q = -p + 2*j, -2*p = 5*j + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/7 in -1.2, 0.5, -0.2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6291220577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.056154173 rounded to three dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61259553.74000067 + -61259554. Let a = 0.26 + c. What is a rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Suppose -4*h + p*h + 6 = -4*f, f - 3 = 2*h. Sort -5, h, -4.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -5) + 148*1. Suppose 5*a = -o + s, a + 2*o + 60 = 3*a. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**2\/5 - 1446*d\/5 + 266463 = 0.\nAnswer: -2085, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 744*z**2. Let m(r) be the first derivative of r**3\/3 - 1190. Calculate p(m(y)).\nAnswer: 744*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/25)\/(258\/(-430))*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.5 and 668.\nAnswer: 668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*k + 3528 = -18744. Let w = k + -648. What is the remainder when 186 is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*l**3*n*q - l**3*n + 193*l**3*q - 5*l**3 - 4*l*n - 2*n*q wrt q.\nAnswer: -2*l**3*n + 193*l**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -1a681b5?\nAnswer: -1a681b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 271*s - 107*s - 78*s - 81*s. Let g(h) = -4*h**2 - 174*h. Give u(g(j)).\nAnswer: -20*j**2 - 870*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -322*o - 1412 + 14765 + 4211 = -6264 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (14 - (-2 + 7 - 11 - 26))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -134?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c. Suppose 5*x + 3*u = 2*u + 122, -4*x = 2*u - 100. Let a be x\/(-32) + 46\/8. Let n(p) = -a*p**2 + 13 - 13. Give j(n(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h + 1. Let c(k) = -k**3 + 6*k**2 - 4*k - 2. Let y be c(5). Let u = 9 - y. Let g = u + -4. Give m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 8. Suppose 4*p + q = 17. Suppose 4*d = -4 - p. Put -6, 5, d in descending order.\nAnswer: 5, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11528)\/1498 - (-367038)\/47579.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9299668904 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/406*87\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 22*w**2 + 20*w + 22. Let u be x(21). Let d be (-32 + 3)*(0 - u). Suppose 109 = y + d. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.65155 millennia in months?\nAnswer: 631818.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369 a factor of 2947457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhghvhhaghgg. Give prob of sequence ah.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 3131?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*4 + 2)*-3 - (sqrt(133)\/sqrt(7)*3*4)**2.\nAnswer: -2742 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 119*u - 718. What is p(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 3, 8.58, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 4*c - 8, 2*c - 6*c = 4*d + 24. Let s be -4 - d - 1*22. Let g be (-4)\/s - (-489)\/33. Calculate the highest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 7*b + 6. Suppose 3*m = 5 + 13. Let n be i(m). Let w = 6 + -3. Solve n*t = w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 + 13*s - 5. Let g(u) be the second derivative of u**4\/4 + 10*u**3\/3 - 7*u**2\/2 - 66*u - 11. Calculate 5*g(t) - 8*i(t).\nAnswer: -t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.175 - 0.54885.\nAnswer: -0.37385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 781706 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 72?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.03334829 and -5.\nAnswer: -5.03334829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from {q: 2, l: 4, p: 2, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**2\/19 - 16*b\/19 - 14\/19 = 0. Calculate b.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**5 + 2*g**5 - 3*g**5 + (2*g**3 + 1 - 1)*(3*g**2 - 3*g**2 + 9*g**2) - 5*g**5 + 4*g**5 - g**5.\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17629295621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u**2 - 4*u**2 - u**2 + 27*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*l = 14. Let y(o) = 2*o**2 + 3*o - 3. Let k be y(1). Suppose -l*t = -k*t - 25. Solve 12 = t*d + 3*w, d = -w + 6 - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eepeepeee. Give prob of sequence peee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 996 + -714. Let n(s) = -17*s - 15. What is the remainder when v is divided by n(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7000762, -4, 5 in increasing order.\nAnswer: -4, 5, 7000762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5825736)\/(-1792)*(-11)\/(-6). Let n = x - 5961. Calculate the common denominator of n and -91\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -455*y**3 + 4554*y**2 - 11415*y + 100 = 0. Calculate y.\nAnswer: 4\/455, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 91376.4 kilometers?\nAnswer: 9137640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -4*t + 817, 21 = j + 28. Solve -2*s + 236 = -3*p + t, 1 = -p - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -3  (b) 2  (c) -519  (d) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2211?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 860437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 11*t + 10. Let w be l(-7). Suppose 29 - 317 = -4*c - v, -2*v - w = -4*c. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 10\/7  (b) -2  (c) -1\/8  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14241008*t**5 + 2*t**2 - 2998834*t.\nAnswer: 854460480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1298152, -1298131, -1298110, -1298089?\nAnswer: -1298068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 101*j**2 - 29*j**2 + 108*j**2 in the form m*j**2 + n*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15181938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 - 4*f. Let m be 16 - 13 - (7 - 1). Is t(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 108 - 66. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -s**3\/3 - 13*s**2\/2 - 12*s + 6. Let k = 4 + -15. Is 10 a factor of d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/(sqrt(6)\/sqrt(108)))\/(3*sqrt(108)*-2 - sqrt(108)).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10632*d**2*o**2 - 3*d**2*o + 4686*d**2 + 74*d*o**2 + 46*d*o wrt o.\nAnswer: -21264*d**2 + 148*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i - 5. Let r be z(4). Suppose -r*g = 2*g - 15. Suppose g*s - 39 = 2*t + t, -4*s = 3*t - 45. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*i + 64 = -i, -96 = -4*h - 4*i. Let t(x) = -x**2 + 7*x - 3. Calculate the remainder when (h\/6)\/(2\/6) is divided by t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6298 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13719.\nAnswer: 3, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31716 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 35, 0, -3, -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (25\/(-1))\/(-1) + 99 + -103. Solve -6*g = h - 9*g - 7, -4*g - d = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -4. Let i be k*((-6)\/(-2))\/(-3). Solve 0 = -x + 4*u - i, -3*x + 4*u - 33 = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jczicqaij. Give prob of picking 1 a and 2 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 47760\nAnswer: -23880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 1, o: 2, w: 1, s: 1, u: 2, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5. Let z(y) = 3. Let f(u) = 4*s(u) - 7*z(u). Let q(t) = 19*t**2 - 25*t - 6. Let h(k) = 6*f(k) - q(k). What is the second derivative of h(a) wrt a?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t + 595 = -917. Suppose -3*z = -4*v + t, 3*z = v - 0*z - 36. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 11*o + 3. Let g be x(15). Let t = 33 + g. What is the common denominator of (-285)\/90*14\/t and 127\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0*h + h**2 + 1 + 2*h to the form p*h + j + r*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 2, -5984, -0.3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2123 * 255\nAnswer: -541365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2583 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*u = -14. Solve -2 + 10 = -u*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 1 - 17. Sort x, 3, 2.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7855, 15716, 23581, 31450, 39323?\n\"Answer: 2*z**2 + 7855*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((10409184\/(-64))\/(-47))\/(1*1\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-9)*(-243)\/(-135)*(-1250)\/2. Solve -226 = -8*g - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65864?\nAnswer: 2, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 223190130 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3434 - -3438. Let c(m) = -m**3 + m**2 + m + 44. Let v be c(0). Calculate the greatest common factor of s and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3954801 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71027 + 71029 + 71040 + 23*l**2 - l**2 - 213096.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from momao. What is prob of sequence ao?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1444913 at least as big as -12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(187)*-1*3)\/(sqrt(539) + 5*(1*sqrt(539) + sqrt(539))).\nAnswer: 9*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 680 - 678 = -4*y, -2 = -2*y - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 22 in descending order.\nAnswer: 22, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*h*i*s**3 - 2*h*i*s**2 - 1009*h*i*s + 471*h*s**2 - 33*i*s**3 + 181*i*s**2 - 1797*s**3 wrt s?\nAnswer: -90*h*i - 198*i - 10782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-18\/5)\/a*a)\/a)\/(a**(-8)\/a))\/(a*a**(-5\/2)\/a)**38 assuming a is positive.\nAnswer: a**(497\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 14 + 2 - 2369834*n + 2369860*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218900 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -11\/5  (b) 1\/7  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12555.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-450)\/180*((-504)\/6)\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 727787 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001671612146 to 7 decimal places.\nAnswer: -0.0016716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a5 - 6278?\nAnswer: -6461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5276862 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllkllnkkklgkklkl. Give prob of sequence nkgl.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 31*s - 27. Let i(c) = 6*c**2 - 158*c + 136. Let d(k) = 3*i(k) + 16*r(k). Find o, given that d(o) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.15 - -1. Let n = 0.05 + r. Which is the closest to n?  (a) -0.1  (b) 3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1083024 is divided by 361008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27286 and 27391246.\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32828 is divided by 369?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 74966*m + 3517.\nAnswer: 74966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**3 + 3*n**2 + 2*n + 12. Let l be s(-3). Let g = 84 - l. What is the closest to 1\/2 in -5, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -2*t - 7*j + 124, -119 = -2*t + j. Let o(v) = 2*v**2 - 9*v + 19. Let l be o(5). What is the greatest common divisor of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 358951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -159*f*l - 534*f - 3*l wrt l.\nAnswer: -159*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6030783, 5, 1 in decreasing order.\nAnswer: 5, 1, -3, -6030783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 379*k = 364*k + 73, 0 = 3*r + 3*k - 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 393 and 335439.\nAnswer: 43942509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 305 divided by -5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10032\/5 - 38883\/20. Let j = 61 - o. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161397 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 271364585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**5*k + 27*h**3*k - 107*h**3 - h**2*k - 160730*h**2 + h - k - 1 wrt h?\nAnswer: 60*h**2*k + 162*k - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -4, -2, -31, -199 in decreasing order.\nAnswer: -1, -2, -3, -4, -31, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 518*v + 86*v - 124*v = 6374 + 7066 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 237643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from heehehhheheeeeeeee.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 29*r**3\/3 - r**2\/2 + r + 5. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 30, -5.\nAnswer: -5, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 0*v + 0*v**5 + 0*v**4 - 3 + 1\/2*v**6 + 0*v**2 - v**3. Find the third derivative of w(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.31396kg to nanograms.\nAnswer: 78313960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2880)*-2 - sqrt(2880))\/(sqrt(81)\/sqrt(81)).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2779 + -1.4779. Sort 872, -2\/9, o in decreasing order.\nAnswer: 872, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1001.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 4*s**2 - 14*s + 12. Let o be z(6). Solve 3*k - 14 = 5*k - 4*a, -5*k + 2*a - 11 = o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 11*t + 8. Give b(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14232 - 14235. Let y be -12*3\/(-4 - 2). Sort 4, o, y.\nAnswer: o, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 5*t + 2. Let c be w(-5). Suppose -c*v + 292 = -12. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - ((330\/54 - 2) + 4 + -9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49.35059 micrograms to kilograms.\nAnswer: 0.00000004935059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - 16 - (-2926)\/209. Let o = 6 - 2. Sort 8, -1, o, y.\nAnswer: y, -1, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 6. Solve -2*i + 3 = j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*w**2 + 3*w - 2*w**2 + w - 2*w**2 to c*w + t*w**2 + h and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1734, -3458, -5182, -6906, -8630, -10354?\nAnswer: -12078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 + 281 = 21*s. Let h be s\/(-77)*(-7)\/(-4). Let r = -1 + 0. What is the biggest value in h, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9425 is divided by 725.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -413 + 63. Let b = -216 - g. Suppose -r + 663 = -b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 4*c**2 + 5*c + 2. Let i be d(-3). Let w(y) = -2*y**2 - 10*y - 1. What is the units digit of w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000502 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 12*b + 1. Let u(k) = -6 + 2*k + 11*k + 0 + 4. What is the remainder when u(3) is divided by x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*j**2 - 503*j**2 + 126 - 57 - 69.\nAnswer: -664*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*z - 6 = f, -4*f + 8 = 4*z. Suppose 3*h - 3*d = 393, 11*d - 6*d + 259 = z*h. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (76\/8)\/((-1)\/(-2)). Let l = 36 - h. Suppose 0*t = t - l. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/8 and -25\/128021?\nAnswer: 1024168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5470260730 - -5.\nAnswer: 5470260735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-210)\/168)\/((-2)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, -1\/3003, 3\/46?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 35*a + 114. Let u be z(15). Suppose -1540 - u = -l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.6096 + 711180.8?\nAnswer: 711188.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 3)*((-2 + 0 + 1)*(3*p - 3*p + 3*p) + (2 - 7*p - 2)*(-4 - 4 + 6)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 2:17 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 9, 32, 75, 144, 245?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12477079 by 35957.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -772633 - -774120.991. Let p = 3317 - 4804. Let z = p + g. Round z to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 17*m + 31. Let g be 16*1 + 3*(-3)\/9. Suppose 0 = 5*d - 2*d + 3*p - 6, 5 = 2*d + 3*p. Calculate the remainder when b(g) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132504328 + 8*s**2 - 5*s**2 + 132504312.\nAnswer: 3*s**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 8. Suppose -d + 12 = 5*g, 3*d - 13 = -r*g + 3. Let i = d - 1. What is the smallest common multiple of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**4*o*o*o**4*o)\/(o**(-1\/2))**19)**(-8) assuming o is positive.\nAnswer: o**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(2\/27))\/h)\/(h\/(h\/(h**(-1\/2)*h*h*h)))*h**(2\/5)*h**7\/h assuming h is positive.\nAnswer: h**(1033\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (76\/2128)\/(1\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60321 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7335158029 - -4?\nAnswer: 7335158033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5042 (base 10) to base 6\nAnswer: 35202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (10 - -3)) + 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -17. Let c(w) be the second derivative of w**4\/12 - 7*w**3\/6 - 7*w**2\/2 - 2*w. Is c(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/11?  (a) 0.5  (b) 2585  (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 12709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39951334?\nAnswer: 2, 109, 183263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 2*k**7\/7 + 16*k**6\/3 + 88*k**3\/3 + k + 451. What is the third derivative of b(p) wrt p?\nAnswer: 240*p**3 + 1920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6876 + 643*j + 6876 + 12123*j to the form t + k*j and give k.\nAnswer: 12766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from gzgyeemsy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 178, -4, -368, 0?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 718, 697, 688, 697, 730, 793, 892?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -196\/23 + 3223\/138. Let n be 7*2*(-18)\/(-14). What is the common denominator of (-3)\/n - (-1 - -1) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 59689514259*a**2 + 59689514241*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 646*u - 643*u + 4*n - 25, -u = -5*n + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (73\/(-146))\/(1\/((-2)\/1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 AM and 5:04 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 2*v = -5*v. Let i(n) = 2*n + 10. Let b be i(-7). Put v, b, -3 in decreasing order.\nAnswer: v, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4 - 2. Let a = -3 + 9. Calculate the least common multiple of d and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from qqbq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 minus -0.4?\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 58*s**3 - 3*s - 175*s**3 + 237 + 63*s**3 + 56*s**3. Is 13 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.1 and 0.07.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1162 = 7*x - 42. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35777282 divided by 25?\nAnswer: -35777282\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -228.835 - -1760.287. Let f = v - 1529. What is f rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21194380+0.4\nAnswer: -21194379.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/5  (b) 0.05  (c) 0.01  (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1003021320 (base 4) to base 2\nAnswer: 1000011001001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h**3 + 7*h + 7. Let f(l) = -l**3 - 5*l**2 + 5*l + 1. Let m = 33 - 39. Let q be f(m). Let x(o) = -2*o**3 - 5*o - 5. Determine q*x(d) + 5*p(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 257437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2155650*l**4 + 6*l + 2155648*l**4 + 19*l**2 + 6*l**3 - 3 + 3 in the form u*l**3 + w*l**2 + h*l + t*l**4 + z and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w - 15362 - 38782 = 0. Suppose j = 5*j - w. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11839 is divided by 11582.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -566 and -571 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 3. Let t be l(-4). Let u be 10\/(-2) - (-30 - (6 - 13)). Let d = t - u. Which is the third smallest value?  (a) d  (b) 0.03  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -400, -878, -1416, -2014?\n\"Answer: -30*w**2 - 388*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-4\/3))**(-13)*(y\/(y**1*y*y))\/(y**(-7)\/y*y*y) assuming y is positive.\nAnswer: y**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1696)\/(-672) - (-12)\/(-14)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 20 = 0, -a + 5*f = -3*a - 14. Solve -11 = h - 2*z, -3*h + 24 = -6*h + a*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1757, 4, -116, -1 in descending order.\nAnswer: 1757, 4, -1, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/25*15\/(-24)*(-14)\/(-112)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -66*x**2 + x + 14. What is w(2)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -27 + 12*x - 80*x + 95*x + 113*x + 108*x. What is the tens digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 2:02 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3 + 9. Let g(c) = c + 14. Let k be g(-6). Let q = k - m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5\/6)\/o)\/(o*o**3*o) assuming o is positive.\nAnswer: o**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/135 + (-3506)\/90 + 22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1182.9 - 1185. Which is smaller: 25 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -199\/3 + 67. Factor -m - 1\/3*k**2 + k.\nAnswer: -(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 20*f - 738. What is h(38)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9, -1, 5, 9, 11, 11, 9?\n\"Answer: -j**2 + 11*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849987?\nAnswer: 3, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-980)\/(-560))\/(2\/864) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.7278 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 2*r + 6*r)*(-53 + 141 - 65)*(-2 + 3 - 2).\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.082 and 24.\nAnswer: -49.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/((sqrt(11) + sqrt(11)*-3)*-5) - (sqrt(8) + 2 + 1)**2.\nAnswer: -17 - 119*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3467, 6825, 10183, 13541, 16899?\nAnswer: 20257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 5*i - 6*j + 266, 2*i = j - 107. Let o be ((-16)\/48)\/(1\/i). Let w = 3 + o. Calculate the least common multiple of w and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - (-721)\/105)\/(6\/140). Is 43 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*1*(-3)\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 714568519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16809, 15629, 13661, 10905, 7361?\n\"Answer: -394*d**2 + 2*d + 17201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.2 and -17.\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1050*v = 1075*v - 180275. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2. Let k be c(1). Let u(q) = -2*q + 5. Let z be u(3). Let b = z - k. Solve b = 4*o + 14 + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2221231200 - 1303?\nAnswer: 2221223231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -12, -4, -3, 13359 in decreasing order.\nAnswer: 13359, 4, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 12512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + 997. Let w = -16725\/16 + t. Find the common denominator of -89\/136 and w.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2058)\/264 - -5 - (-12)\/3 and -39\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 33872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2 = -8. Suppose c*m - 70 = -5*p, 3*p - m + 29 = 5*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 - j. Let q(u) = u**2 + 2*u. Let w be (-15)\/(-35) - 10\/7. Let v(p) = w*q(p) - 2*l(p). What is v(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/16 and -11\/332.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 + -0.4. Let u = -60.77 + -0.63. Let q = -61 - u. What is the nearest to j in 3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -227891\/16 - -14248. What is the common denominator of i and 43\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 1076.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 7. Suppose -3*r - 104 = -2*o, 0 = -3*r - 3 + 21. What is the remainder when o is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 2:14 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -637.9 - -638. What is the second smallest value in 0.19, 2, x?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2622 and 8322?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + sqrt(12)\/sqrt(4) - ((sqrt(432) - (sqrt(432) + -1)) + sqrt(432)))**2.\nAnswer: -364 - 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 0 - 8 - (1476 + -1477).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 20949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 633 - 3*c**3 - 1143 + 510.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11678366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - g - 36 = -4*q, 3*q + 5*g - 16 = 0. Suppose 0 = 5*u - 4*y - 82 - 10, -2*u = y - 42. What is the least common multiple of u and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 204\/8*(1 - (-2)\/6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of 11*p**3\/6 - 4*p**2 - 1170*p. Give d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t\/((t*((t*(t\/(t*t\/((t*t**(-14)\/t*t)\/t))*t)\/t)\/t)\/t)\/t)*t\/(t**12*t)*(t**(-1)\/t)**(-2\/19) assuming t is positive.\nAnswer: t**(118\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4989 + 5055. Solve s*o - 27*o = 234 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 33545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (1*(3 + sqrt(405)) - (-4 + sqrt(405)*1) - (((0 + sqrt(405) + sqrt(405))*6 - sqrt(405)) + -2 + 0)))**2.\nAnswer: -1386*sqrt(5) + 49054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 121866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(20\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 528 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(((j**(-2)*j)\/j)\/j*j)*j**(-1\/3)\/j*j)**(2\/97)*(j\/(j*j**(-1\/2)))**32*((j**4\/j*j)\/j)\/j*j\/((j\/(j\/(j*j**(-1))))\/j)*j assuming j is positive.\nAnswer: j**(6127\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3849777?\nAnswer: 3, 41, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.746 - 1.7. Let s = u + -41.046. Let y = 36.7 + s. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 133 and 8512.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4471, -17668, -39661, -70450, -110035, -158416?\n\"Answer: -4398*h**2 - 3*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 170 = 5*v, 7*w - 2*w = -4*v - 170. Let u = 29 + w. Which is the biggest value?  (a) u  (b) -1\/3  (c) -3  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16634, 133203, 449658, 1065947, 2082018, 3597819, 5713298, 8528403?\nAnswer: 12143082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -265?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 183.1 + -183. Suppose -6*v + v = 25. What is the third smallest value in -1\/4, 2, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of a**3\/21 + a**2 - 29. Determine r, given that p(r) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -85, -271, -463, -661, -865?\n\"Answer: -3*v**2 - 177*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 7 + 1 + -1 + -1 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (35\/5)\/(1\/2). Suppose -p + o + 2 = 0. What is the greatest common divisor of p and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 + 5)\/(0 + 1). Let i = -9 - -10. Which is the closest to d?  (a) i  (b) -9  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from qqkanya?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 5)*(-2*l**4 + 2*l**4 + 2*l**4 + (0 + 2*l**2 + 0)*(-4*l**2 - 2*l**2 + 4*l**2)) + (l**3 + 3*l**2 - 3*l**2)*(-243*l - 167*l + 137*l).\nAnswer: -269*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 2*x - 4*x - x**2)*(2*x**2 + 0*x**2 - x**2).\nAnswer: -x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 17 + 35 + 12 + -38.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -129.71 * -4\nAnswer: 518.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 947531 or 947551?\nAnswer: 947531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-482*r + 113*r - 183*r + 3 - 3)*(4*r**2 - 4*r**2 - 6*r**2).\nAnswer: 3312*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of -n**3\/6 + 8186*n. Let s(u) = -22*u - 199. Give s(y(h)).\nAnswer: 22*h - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 - 9*z - 5. Let s be d(-6). Suppose -318*y = -3168 + 624. Calculate the remainder when s\/(2 + -1 - 2) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jcjzozj. What is prob of picking 1 j and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000043019441 to six dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 225942532*i**2 + 21193559?\nAnswer: 451885064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92929 is divided by 1513?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 712, 713, 714, 715, 716?\n\"Answer: i + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1064 and 266.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 79531.3 millimeters?\nAnswer: 7953.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -3*n + 26. Determine p(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {s: 1, h: 2, o: 1, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 33, 3\/5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 6*x**2 - 109*x - 927. Calculate v(-9).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*t + t + 71 = 0, -j = 2*t - 67. Let n be ((-5)\/1)\/((-1)\/j). Suppose 4*l = 3*p + 2*l - 177, -2*l = 5*p - n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 0 + (-5 - -2) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.1, -7, 3\/2, 0, 46, 0.2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.00600034 + -0.006. What is q rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 5, 7, -0.03, -46567?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(2299) + -1*sqrt(2299) + -4 - (5 + -1 + sqrt(2299))) + (sqrt(2299) + 3 + 5)*-3))**2.\nAnswer: 45056*sqrt(19) + 604928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 104641475*t**3*z**3 + 2073*t**3 + 409*t**2 - 4*t - 1 with respect to z.\nAnswer: 313924425*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 162416466 (base 7) in base 12?\nAnswer: 3831520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 189*l**2 - 3*l + 49. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100002 (base 4) to base 7.\nAnswer: -2664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 5*f - 4. Let l be k(-4). Let h = 20 + -19. What is the units digit of (-6)\/h*(l + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 324 = 4*n + 8*n. Solve 22*l = n*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1. Let j(c) = -c + 6. Let b(u) = j(u) - 6*m(u). Let l(y) = 21*y**2 + 24*y**2 - 43*y**2. Calculate l(b(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -309790 by -23830.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p**(-6)*p))\/(p*p\/(p*p**(-2))*p*p))**(-1\/6) assuming p is positive.\nAnswer: p**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -845646, -845790, -845934, -846078?\n\"Answer: -144*x - 845502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 1 - 2 - x**2 + 2. Let o(m) = -5*m**2 + 8. Let y = 2 - 0. Suppose -c + y*i = -0*c - 16, -4*i - 20 = 0. Calculate c*k(f) - o(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -422 - -640. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-20)\/(-4))*(-7482)\/(-258).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1243 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 1377 = 4*h - 1405, -7 = x - 2*h. What is the closest to 20 in x, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4*s = -51. Let x(a) be the second derivative of a**4\/2 - 11*a**3\/6 + 3*a**2\/2 + 37*a. Let k(w) = -2*w**2 + 4*w - 1. Calculate s*k(q) - 6*x(q).\nAnswer: -2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -0 - 1. Calculate the lowest common multiple of 20 and 7*(-6)\/(y*3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 317, 284, 251, 218?\n\"Answer: -33*r + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2)*((-770)\/231)\/(5\/28)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -132, -167, -218, -279, -344, -407, -462, -503?\n\"Answer: f**3 - 14*f**2 - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 3*v - 13, 3*v = -2*m + 19 - 2. Suppose 3*a + 68 = -4*r + v*a, 0 = 4*a. Let f = r - -106. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 1356*a = 1333*a + 371, 8*x + 2*a - 40 = -0*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(52)\/sqrt(4) - sqrt(13)) + 1)**2*5 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 47, -6, 5 in ascending order.\nAnswer: -6, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*h + 177*h + 134*h - 16*h - 3*h**2 in the form a + d*h + f*h**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (-6 + 3 - 1) + 22188\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23115, -46215, -69311, -92403?\n\"Answer: 2*q**2 - 23106*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + ((-3)\/11)\/(6\/(-236)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (1 + -1)) + 3 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*f - 29, 0 = f - 3*w + 12 - 5. Suppose -3*i = 2*i. Let n be f\/4*(-4 + i). Sort -1, 0, n.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 514814 or 514861?\nAnswer: 514814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2441536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -2*i - 42, -5213*j - 5*i + 1325 = -5346*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1480*o + 2229*o + 355*o to the form k + m*o and give m.\nAnswer: 4064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {g: 4, f: 1, w: 1, b: 4, x: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1339211\/9 - 148958. Let b = k + 157. What is the third smallest value in 2, 6\/11, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -16*a - 5. Let p(x) = 3*x + 1. Let v(m) = k(m) + 5*p(m). Let s(f) = 3*f**2 + 14. Calculate s(v(w)).\nAnswer: 3*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9*4\/144)\/(2\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 + 24354*u**2 - 1665933*u - 1690290.\nAnswer: -3*(u - 8049)*(u - 70)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*z**4 - 456*z**3 + 1884*z**2 + 576*z.\nAnswer: 3*z*(z - 16)*(z - 6)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2 + 21*l + 14. Let h be r(-10). Suppose -h*v + 39 = -41. Suppose -v - 19 = -m. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 338057265?\nAnswer: 3, 5, 7, 13, 167, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 223, 328, 613, 1168, 2083, 3448, 5353, 7888?\nAnswer: 11143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/10*(-110)\/(-4). Suppose -3*y = -5*h - m, -2*y + 18 = 2*h - 7*h. Suppose -3*j + y*j - 45 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*b - 25*b = -17*c - 77, c + 13 = -3*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m**3 - 65*m**2 + 98*m - 54. Calculate v(-23).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1773\/27 + 40\/(-24). Suppose -36 = -5*f + 4*j, -4*f = -3*f - 5*j - 3. What is the greatest common divisor of y and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.86642 rounded to one decimal place?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19791134 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2061*x. Let v(k) = k. What is m(v(c))?\nAnswer: 2061*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 82976853 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f**4\/f)\/f))\/(f*f\/f**(-11)) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2. Let g(o) be the second derivative of 0 - 2*o + 0*o**3 + 0*o**2 + 1\/4*o**4. What is w(g(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/7)*l*l*l**16*l**16\/l**(-24))**14 assuming l is positive.\nAnswer: l**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 4, g: 5}. Give prob of picking 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*a = 38*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b - 5*y = 1, -3*y - 2236 + 2254 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 581217 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3187*m**3 - 1601*m**3 - 13*m - 1622*m**3.\nAnswer: -36*m**3 - 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/15)\/((-21)\/10). What is the second smallest value in h, 11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.4 and 1.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -4*d**2 + 8*d + 10. Let l(h) = -9*h**2 + 18*h + 22. Let w(f) = -3*l(f) + 7*s(f). Determine w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 12, -9, -10, -2, 9 in decreasing order.\nAnswer: 12, 9, -2, -4, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q + 22. Let i be v(12). Let c(t) = -t**3 + 9*t**2 + 11*t - 11. Let j be c(10). Sort j, -11, 2, i in increasing order.\nAnswer: -11, i, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((61 + 24 + 30)*(2*c - 4*c + c) + 2*c + c + 3 - 4)*(-4*c + 6*c + 0*c)*(-6 + 18 + 6).\nAnswer: -4032*c**2 - 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 2*i + 5. Let y(g) = 7*g**3 - 4*g**2 + g - 1. Let w(v) = v**3 + v - 1. Let r(m) = -6*w(m) + y(m). Give r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**3 - 3*k**2 - 2*k + 2. Let c be x(-2). Suppose -21*b = -23*b + c. Solve 4*m - 3 = b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -497.\nAnswer: 2\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 1221\/4, 3 in descending order.\nAnswer: 1221\/4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -2\/7, 28\/5, -5\/14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -368 - -368.00193. What is q rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77375519293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 9, u: 2}. What is prob of sequence lllu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 287.6 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 949 + -2?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 50743225283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 39590023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1736291224 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*a**2 - 41*a**2 + 172*a**2 - 36*a**2 - 48*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -8*l - 203. Let s(x) = -x**3 + 3*x**2 + 5*x + 3. What is the remainder when o(-32) is divided by s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2614003700 to the nearest integer?\nAnswer: 51127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5082\/924 - (-2*(-6)\/8 + 0). Let a(k) = -k**2 - 4*k - 4. Let g be a(-3). Sort r, g, 0, 1 in increasing order.\nAnswer: g, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7*(-3)\/(9\/(-3)). Is -6 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54182 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -963*q**3 + 82*q**2 - 166*q - 98869183.\nAnswer: -2889*q**2 + 164*q - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(102)\/((sqrt(66)*1)\/sqrt(11)) + -2 + (-6*(sqrt(136) + (2*sqrt(136) - sqrt(136))))\/(sqrt(8)*-1*-5).\nAnswer: -7*sqrt(17)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1646, -3293, -4942, -6593?\n\"Answer: -z**2 - 1644*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 5*l + 3*w, -5*l + 3760*w + 44 = 3769*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 5*m**2 + 1. Let z(l) = -2*l + 12. Let t be z(9). Calculate f(t).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603972064.\nAnswer: 2, 79, 173, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6532170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h**2 + h - 4. Let x be i(-5). Let s = 9 - -20. Let l = s + x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 59873085 and 1050405?\nAnswer: 59873085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of w**4\/4 + 10*w**3 - 63*w**2\/2 + 216*w - 1. Factor m(t).\nAnswer: 3*(t - 1)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 56*p + 437. Let v be j(-7). Put 143, v, 2 in descending order.\nAnswer: 143, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 41, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**(-8)\/q)\/q)**(4\/13))**(-2\/79) assuming q is positive.\nAnswer: q**(72\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -184*w**2 + 26*w**3 + 28*w**3 - 81*w**3 + 191*w**2 + 23*w**3.\nAnswer: -4*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60179*m + 20 = -60184*m + 5*f, -2*f = 5*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 41, 6 in decreasing order.\nAnswer: 41, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 64*c - 947. Let s(r) = 83*r - 1263. Give 13*k(j) - 10*s(j).\nAnswer: 2*j + 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 12*r - 16. Suppose -3*y + 29 = -2*q, 50 = 5*y - q - 2*q. Is 20 a factor of h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188571900.\nAnswer: 2, 3, 5, 11, 57143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/10*(-110)\/44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4 = 4*w + 2*d, 0 = -2*w + 5*d - 17. Let a be (30\/9)\/(-10) + (-650)\/w. Suppose 9*r = 6*r + a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 s, 1 g, and 1 d when four letters picked without replacement from vgvgvdssdvvvvsvd?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 1  (c) 149  (d) 16  (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2387 + -1867. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3601288 and 2?\nAnswer: -7202576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10*(1\/(-1 - 154))\/((-1822)\/5466)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -9*a**3 - 62*a**2 + a + 3. What is the remainder when 4588 is divided by y(-7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u - 18. What is o(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 400 (base 14) to base 5\nAnswer: 11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 110000111111100?\nAnswer: -110000111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2703, 10816, 24345, 43290, 67651, 97428?\nAnswer: 132621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5499 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: Let g(y) = 2*y + 7. Let m(q) = q - 1. Let l(p) = 4*g(p) - 4*m(p). Let h be l(-6). Let b(j) = 2 - 2*j + 3*j - 11. What is b(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11.3 + 12. Let m = 0.3 + t. Let p be ((-1)\/20)\/(15\/(-40)). What is the second smallest value in -3, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/3 - 987446*f\/3 + 2633168.\nAnswer: (f - 987438)*(f - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 93\/33 + 2\/11. Let v be (-24)\/4*(-20)\/u. Calculate the common denominator of 858\/v + 4\/(-20) and 91\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 2:04 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 294 != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -218 + 223. Suppose h*j + 267 = 277. Solve f = b - j, 2*b + 0*b - 3*f - 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 4*t + t - 29, 3*v - 5 = t. Suppose 6 + 16 = k. Find the second derivative of -v*c**4 - 4*c**4 - k*c + 13*c**3 - 13*c**3 wrt c.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*(q\/((q**10\/q)\/q)*q)\/q*(q\/(q*q\/(q\/q**(-4)*q)*q*q))\/q*q*q**(-12)*q*q\/((q\/(q\/(q*q**17\/q)*q))\/q) assuming q is positive.\nAnswer: q**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhhfsvwl. Give prob of picking 1 h and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 2 - (4 + -12 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -169 + 739. Is 30 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.8981948 kilometers?\nAnswer: 898194800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-414)\/8 + (-2)\/8. Let b be 48 + 1 + -145 + 155. Let w = b + h. Let u(t) = -6*t**2 - 3*t - 1. Let y(x) = -11*x**2 - 6*x - 2. What is w*u(c) - 4*y(c)?\nAnswer: 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**2 - 3284*w + 16470 = 0?\nAnswer: -1647, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 54 (base 13) to base 7\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1492285614?\nAnswer: 2, 3, 167, 353, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.05  (b) -1  (c) 6\/11  (d) 2\/5  (e) -12  (f) -2\/71  (g) -10\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 36062.6 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29505046 to the power of 1\/2, to the nearest integer?\nAnswer: 5432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -8, -25, -17, 5, 4 in decreasing order.\nAnswer: 5, 4, -3, -8, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i - 2*i - 5*i**2)*(28*i**2 + 7*i**2 - 18*i + 17*i) to c*i**4 + l*i**3 + q*i + h + m*i**2 and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10, 2 in descending order.\nAnswer: 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*s - 7*s - 39 + 3*s + 4*s + 15 in the form p + m*s and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -287 - -273 - (-3 + (-1 - -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 318636 or 318637?\nAnswer: 318637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 21*w + 72 = 0. Let a be (6\/w)\/(3\/(-684)*2). Suppose -4*y + a = -3*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (55 - 38) + -14 + 25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2*a + 1. Suppose 0 = -4*i - v + 5, 6 = -4*i - 5*v - 1. What is the closest to a in i, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y - 6. Let k(q) = -369*q - 18. Let v(i) = 3*j(i) - k(i). Let d(a) = 2*a. Give d(v(u)).\nAnswer: 714*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of 2381*t**9\/504 - t**5\/4 - 11*t**4\/8 + 13*t**2 - 87. Find the third derivative of l(s) wrt s.\nAnswer: 285720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3235355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*p = -642, s + p = -30 + 353. Let k be (-1*1)\/(14336\/1592 + -9). Let o = s + k. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 31695 from -2484483.\nAnswer: -2516178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*b*h**2*l**3 - b*h**2*o + 8*b*h*l**3*o + 6*b*h*l**3 + 7*h**2*l + l**2*o wrt h.\nAnswer: -14*b*l**3 - 2*b*o + 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h - 4. Let r(d) = -16*d + 22. Determine 10*i(l) + r(l).\nAnswer: -6*l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/11, -341.18, 3 in descending order.\nAnswer: 3, -5\/11, -341.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 8:54 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 59*d**3 - 3*d + 2. Let c be x(1). Suppose -3*m = -r - 63, 0 = 4*m - 3*r - 21 - c. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (sqrt(200) - (1*sqrt(200) + sqrt(200))*-5))**2 - ((4 + sqrt(2) + -3)**2 + (sqrt(50) - sqrt(2))*-4).\nAnswer: 14*sqrt(2) + 19997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 137, -0.01, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 14) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 193143, 193142, 193141?\n\"Answer: -w + 193144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 20527664?\nAnswer: 20527663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 407714 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/5265 and -173\/4050.\nAnswer: 52650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 274 = -272. Let w = 1741 + -1671. What is the greatest common divisor of w and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*m + 15 = 147*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 341*p - 22310 = 331*p. List the prime factors of p.\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -10, -9, -2, 8 in decreasing order.\nAnswer: 8, 0, -2, -5, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or -47\/6?\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 2:12 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25974803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-77)\/(-15) - (2 + 140\/(-75))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**3 - 103*w**2 - 164*w - 84. Determine i(35).\nAnswer: -3374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4417*r**6 + 816*r**4 + 8424215*r**2 wrt r.\nAnswer: 530040*r**3 + 19584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 3*i**2 + 3*i. Let s(b) = -4*b**2 - 5*b + 3. Let m(o) = -18*o**2 - 24*o + 14. Let g(n) = 3*m(n) - 14*s(n). Calculate 6*g(u) + 4*x(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 25637853811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11 - 4\/(12\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -4*x**2 + 6166350*x - 6166328*x + 0*x**2. Let r(f) = -2*f**2. Determine y(r(h)).\nAnswer: -16*h**4 - 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*((-13)\/5 + (-8)\/20). Calculate the remainder when 113 is divided by (-384)\/(-12) - 1*c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f. Let g(q) = 159*q - 5*q**2 + 12 - 86*q - 73*q. Give r(g(x)).\nAnswer: 5*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.105 - -0.005. Let l(g) be the third derivative of -g**5\/60 - g**3\/3 + 3*g**2. Let y be l(0). Sort y, r, -0.4 in descending order.\nAnswer: r, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**4\/4 + n**2\/2 + 11467*n - 161. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*-1*(-4)\/(-4). Let m(h) = 3*h**2 - 2*h - 2. Let s be m(w). Let i be (-10)\/(-2) + -2 + 2 + -3. Solve s*k = 3*l + 15, i*k - 7*k + 22 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -q**3\/3 + q**2 - 17*q - 1213. Give g(9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 4*a + 348 + 231 = 0, -2*a - 230 = -2*u. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**3 + 1. Let p(w) = 7*w**3 + 20*w**2 + w - 24. Let c(g) = 12*i(g) + 3*p(g). Factor c(h).\nAnswer: -3*(h - 20)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ukdrk. Give prob of picking 1 r and 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/2*(1\/(-23) + 2552\/(-2668)). Sort -1\/6, 41, -4, o, -0.07 in descending order.\nAnswer: 41, o, -0.07, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -338*f = -330*f - 304. Solve 3*v - 2 - f = 5*b, 0 = -4*b - 4*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 9) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 818 and 161258066?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 69.34029 weeks?\nAnswer: 41937007.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2197*s - s**3 + 5*s**2 - 2*s**2 - 3*s**2.\nAnswer: -s**3 - 2197*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 338546566 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*n + 30. Suppose -2 = j - n. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3682500 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 34 = 3*s. Let g(h) = 4*h + 95. Calculate the remainder when g(-16) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 7:32 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -81 + 73. What is the remainder when 12*(1 + 4\/t) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 545, 1131, 1751, 2411, 3117, 3875?\nAnswer: 4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/576 and -11\/162.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {d: 3, r: 4, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00041498368 to 7 dps.\nAnswer: -0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.1 + 3. Let c = 362 + -360.11. Let d = c + 0.11. What is the smallest value in d, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/11000 and -59\/33.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 497 divide 905989749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1312*x + 650. What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n + 28*n + 5*s + 7 = 0, -5*s = 3*n + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 2*u - 18, 2*u + 3 = -2*h + 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**2 + 31*o + 7. What is n(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1360472*d*x**4 - 2*d*x**3 + 38*d*x**2 + 34346*d wrt x?\nAnswer: 32651328*d*x - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6 + 0 + 8*f**2 + 3 - 2*f - 4 - 7*f**2. Determine b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18328587 is divided by 2115?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z*z\/(z*z**(-1\/5))))**(-3\/34)\/(z**4\/z)**(1\/27))**(6\/17) assuming z is positive.\nAnswer: z**(-278\/4335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 2)*(3*a**5 + 0*a**5 - 2*a**5) + a**5 - 13*a**2 + 13*a**2 - 2*a**5 + 0*a + a**5 + 2*a.\nAnswer: 2*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/20*15\/9*81\/495?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - r**2 + 2*r**2 + 0 + 0 + 2*r**2 + (3 - r - 3)*(-2*r + 2 - 2) - 1 + 1 - r**2 + 4*r + 3*r**2 + r**2 - 3*r)*(0*r**3 + 2*r**3 - r**3).\nAnswer: 6*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 26*c + 10. Does 10 divide k(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 12:20 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 223031377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 376360*c**5 + 5201678*c**2?\nAnswer: 22581600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2397 - -2374. Let k = 45.5 - 21.4. Let c = o + k. Is c at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 4 - 4)*(2*r**2 - 2*r**2 - r**2)*(108*r + 96019 - 96019).\nAnswer: -216*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 13*l**2. What is the units digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 125584 and 7425154.\nAnswer: 59401232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 12*c + 302. What is k(10)?\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4533 - 10441. Suppose 0 = 63*d - 10*d + 191224. Let o = f - d. Round o to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6251 is divided by 216.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i*i**(-1\/6)))\/i)\/(i\/i**16))\/(i**(-10\/3)*i*i**(-5\/2)) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*s = -9, 11 = 4*v + 4*s + 127. Let y be 5178\/(-9) + 16\/v. What is the units digit of y\/8*(-6)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/48*-4*4*-2. Let j = -67 - -336\/5. What is the third smallest value in -2\/5, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/576 and 127\/162.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n - 2. Let j be y(-13). Let p be 4 + (250\/j)\/(-5). Let m = 0.25 - -0.05. Which is the closest to 2\/7?  (a) 4  (b) m  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 - -33.941. Let m = -87.941 + j. Let w = -87.99999939 - m. Round w to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-5*1404\/(-126360)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 5:33 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 484\/6*(-9)\/(-6). Suppose 5*h - 274 = 4*r, -r - r + 4*h = 140. Let o = r + s. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -522 + 521.99466. Round n to 4 decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4*p. Let b(u) = -412*u**2. What is b(n(d))?\nAnswer: -6592*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (-12 + -3 - (13 + -10) - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -616717 and -3.\nAnswer: -616720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.060775 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 6:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*i - 70*i + 1945 = 0. Does i = 1943\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3374565 and 15120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/3 and -179\/1554?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*c - 344*c - 785 = 2267 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4156 - -8058. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -4*i - 5*x, 2*i = -2*i + 2*x + 2. Let a be 1*i\/2 - -15. Let d = a - 7. What is the highest common factor of d and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (40 - -5) + (-3 - (-1 + -3))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3*q - 7*q + 19, -2*v + 12 = 2*q. Suppose -19 = -2*g + q*z, 19*g = 18*g - 2*z - 4. Suppose 0 + 2\/7*h**4 + 12\/7*h**3 - g*h**2 + 0*h = 0. Calculate h.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -211\/7 - -30. Let r be 9*1 - (-3)\/((-2312)\/119 - -19). Which is the closest to r?  (a) 1  (b) -6  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 - (-1 + (7 - 15)) - -46.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -381 + 22*r**2 - 398*r**2 + 960*r + 64*r**3 + 182 - 4*r**4 - 701.\nAnswer: -4*(r - 5)**2*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 9, a: 5}. Give prob of picking 2 e.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 1.644?\nAnswer: 1.644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**4 - 4*o**3 + 4*o**3 + (-3 + 3 - 4*o**3)*(-4*o - o - 3*o) - 2*o**4 + 0*o**4 + 0*o**4 + (-2*o**3 + 2*o**3 - 2*o**3)*(1 - 1 + o).\nAnswer: 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 355*o**3 + 5766*o**2 - 11*o - 286213.\nAnswer: 2130*o + 11532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2952662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 23095968?\nAnswer: 23095968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 26. What is the least common multiple of m and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 71*i + 4256. What is the tens digit of d(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.02 from -14458875740933.\nAnswer: -14458875740932.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1771 - -1899. Let s = -9 + 25. What is the greatest common factor of s and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, n: 1, j: 2}. Give prob of sequence jc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 27 = 3*h, 5*h + 3*m = -77 + 35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67\/1925 + 1\/1100. Let z(j) be the first derivative of -7 + 2\/21*j**3 - 1\/14*j**2 - f*j**4 + 0*j. What is a in z(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420.3 - 0.5?\nAnswer: 419.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8657, -36670, -83353, -148700, -232705, -335362?\nAnswer: -456665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + 11. Let u = 51 + -12. What is the remainder when u is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 2. Let l(s) = -29*s - 21*s + 22*s - 136. Let u be l(-5). What is the third smallest value in n, 0.2, u, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5222 and 23604?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -10603 to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 10 = 8. Is w at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2800\/(-147))\/10 + 2. Let p be (-4)\/10 - (-9)\/(-15). Is g at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, z: 12, t: 2}. Give prob of sequence tz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -50, -23, -1\/3, 1, 0.31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 9\/2*i**2 - 49*i + 0 + 4\/3*i**3. Is 2 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/21868868 and -43\/4284?\nAnswer: 196819812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -159 divided by 51\nAnswer: -53\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -90*n**5 + 8687991*n**4 - 10715067*n**3 + 1447974*n**2 + 579192*n = 0.\nAnswer: -1\/6, 0, 2\/5, 1, 96532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 8) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*k - 1076 - 784 = 0. Which is greater: k or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (-1 + 0)\/((-14)\/(-22)). Let h = -5.7 + 0.7. Sort q, h, 2\/13 in descending order.\nAnswer: q, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h - 5. Give d(12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 = 21*f - 2*v + 14, -4*f - 3*v + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 5:44 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 46*c**2 - 4341416*c - 4341462.\nAnswer: 2*(c + 1)*(23*c - 2170731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/10 + 1472\/320.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (-4 + (6 - -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d**2*w**2 - d**2 - 2990*d*w**2 + 165*d wrt w.\nAnswer: -4*d**2*w - 5980*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5686 - 5650. Calculate the remainder when l is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 24465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 62673.13kg?\nAnswer: 62.67313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**8\/20160 - m**7\/5040 + m**6\/720 - m**5\/60 - m**2. Let j(q) be the third derivative of h(q). What is j(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, c: 7, b: 3, j: 1, a: 7}. Give prob of sequence byca.\nAnswer: 49\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + -1 - (-10)\/3. Let a(g) be the first derivative of r*g**3 - 2 + 1\/8*g**4 + 1\/4*g**2 + 0*g. Determine c, given that a(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(720) + 3 - sqrt(720)) + sqrt(720) + 1)**2 + ((sqrt(720) + 1)*-5)**2 + 5*(sqrt(720) - sqrt(720)*-2).\nAnswer: 684*sqrt(5) + 18761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5*k - 5 + 24 - 6. Let r be c(0). What is the greatest common divisor of 208 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**4 - 12*g**3 + 14*g**2 + 72*g - 72 = 0.\nAnswer: -6, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 e when three letters picked without replacement from {s: 2, q: 7, e: 1, p: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 2*q - 3*q)*(-q**3 - 5*q**3 + 4*q**3) - 4*q**4 + q**4 + 4*q**4 + q**4 - 5*q**4 + 0*q**4.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 6 - (0 - -1)) + -23 + 76\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53736 + -53736.027873. What is g rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 10*s - 2. Let w be c(11). Let h be (-1)\/((-2)\/w) + 1\/2. Suppose -5*b = -5*d - 507 - 448, h*d = -5*b + 1005. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*j**3 - 62*j**3 + 34*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 2*t + 3*t)*(t + 6*t + 0*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of 19*o**3\/3 - 7*o**2\/2 + 10*o. Calculate the remainder when b(2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2. Let j(y) = 4*y. Let b(k) = 6*k - 32*k + 11*k. Let f be (-16)\/(-2) - (2 - 0). Let v(m) = f*b(m) + 25*j(m). What is v(p(c))?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 84488*f**2*i**3 - 529*f**2 - f + 15 wrt i?\nAnswer: 253464*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 - 10. Let x = d + -3. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -50 + 94. Let x be (55\/h)\/((-2)\/(-8)). What is i in 1\/3*i**x + 0*i + 0 - 2\/3*i**2 + 0*i**4 - i**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = -12*c - 10. Let t(b) = 4*b + 8. Determine t(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -7*q**2 - 264*q. Let w(d) = -6*d**2 - 228*d. Let h(j) = -19*s(j) + 22*w(j). Let m(l) be the third derivative of -109*l**4\/24 - l**2. What is h(m(z))?\nAnswer: 11881*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/2 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w = -82*w + 1536. Let n = -9 + 14. Solve 9 = -5*s + 5*m - w, -n*s + 3*m - 23 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 4, -1\/10, -2.2484, -2\/11?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 196 + -366. Let c = x + 224. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1343100.\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**(-1\/5))**(1\/4))**(-4) assuming b is positive.\nAnswer: b**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 (base 5) in base 14?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 41\/8 + -5 + 123\/24. Factor -12*o**3 + d*o**4 - 3\/2*o + 33\/4*o**2 + 0.\nAnswer: 3*o*(o - 1)**2*(7*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0.7  (b) 2\/3  (c) -4\/3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28452757 to the nearest integer?\nAnswer: 5334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 6*p**2 + 4*p + 11. What is o(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (7 + 2)) + 4 + (-8 - 15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.97189 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - -4.2. Let d = -4 - -3.8. Which is the closest to 2?  (a) -0.5  (b) d  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*(-7)\/28*(-2)\/(-3). Let x = -379\/124 - -87\/31. Let b = 1 + -0.9. Sort b, k, x, 0.4.\nAnswer: x, b, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 8*u - 168. Let s be v(24). Suppose 21*m + 159 = s*m. Solve 0 = -4*b + 41 - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 626 is divided by 136.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 579 + -581. What is the closest to -21 in 5, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 17 = 4*l, 3*x = -l - 8 + 2. Sort 5, -5, l, -16.\nAnswer: -16, -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 323\/152 - 3\/24. Suppose -5 + 1 = -y, -4*b + 108 = -w*y. Calculate the remainder when 57 is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*y + 48*y = 230400. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tcmctmtc. Give prob of picking 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 2 + -7 - -25 - (1 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 870*v + 1142. What are the prime factors of h(22)?\nAnswer: 2, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(456)*-2)\/sqrt(12))\/((sqrt(32)\/sqrt(4))\/sqrt(4)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2525 (base 11) in base 12?\nAnswer: 1aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 - 9*k. Let x(y) = -y**2 - 17*y. Give 10*l(c) - 4*x(c).\nAnswer: -6*c**2 - 22*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 3  (b) -1  (c) 1  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (40\/14)\/(88\/23716).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3661 or -40.76?\nAnswer: -40.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 - 19 - 4*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7\/11 + 47\/22. Let r = 211\/9 + -1459\/63. What is the nearest to m in -2, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*n = -96*n - l, 0 = -2*n - 3*l. Which is the closest to n?  (a) -5  (b) 0.1  (c) -1184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from akwkwfkfwwa?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -y**2\/2 + 6*y - 2. Let u be q(11). Let g = -8 - -4. Which is the second biggest value?  (a) g  (b) -3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -319, -7, 3, 7, -143 in descending order.\nAnswer: 7, 3, -7, -143, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 p when three letters picked without replacement from wpupp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/1853 in -33\/140, 2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6))\/((-10)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110\/41 + 1329\/205. Which is the second biggest value?  (a) 5  (b) f  (c) 0  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 2*z. Solve z = -4*j - 8, 3*b + b + 5*j = -14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372\/(-9)*(342\/24 + -14 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 1, -0.1, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66520?\nAnswer: 2, 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*c - 42*c = 100 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -17. Let s(i) = i**3 - 4*i**2 + 2*i. Let f be s(4). Solve -2*k + n*k = -f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, o: 14}. Give prob of picking 3 v.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -18. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1552*c**3 + 256*c**2 - 7*c + 45042132?\nAnswer: -4656*c**2 + 512*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8386*d**4 - 24160 wrt d.\nAnswer: -33544*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, o: 3, k: 1, m: 1}. What is prob of picking 1 o, 1 m, and 1 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 378a3949?\nAnswer: -378a3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 209 = -2*w, 4*w = -0*w + 5*y + 493. What is the remainder when w is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -695\/18 - 44\/9. Find the common denominator of (-631)\/126 + 4\/18 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -5*n - 3, -g + 4*n - n + 6 = 0. Sort g, -1, 4, 0.3 in decreasing order.\nAnswer: 4, 0.3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -8208 - 177*i + 4103 + 4106 - 5*i**3. Let k(d) = 2*d**2. Calculate l(k(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 418993079.\nAnswer: 61, 6868739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of -a**6\/420 - a**5\/42 + a**4\/84 + 5*a**3\/21 - 10*a**2 + 3. Factor r(t).\nAnswer: -2*(t - 1)*(t + 1)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.557552 nanometers in kilometers?\nAnswer: 0.000000000001557552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1368 + 1186 = -7*g. Calculate the greatest common factor of g and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {a: 3, y: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22172 - 2458 = p. Let h = p - -320460\/13. Let m = h + -4616\/221. Put m, 1, -2 in decreasing order.\nAnswer: 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -26, -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 3*u + 11. Give d(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -j**7\/1400 + j**6\/100 - j**5\/25 - 4*j**3 + 155. Let q(i) be the third derivative of r(i). Find t, given that q(t) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*h = 17*h - 42*h + 354510. Calculate the remainder when h is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**2\/2 + 5*k - 53. Let d be b(0). Suppose -n = 4*n. Solve d*r + 5 + 0 = n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -4  (c) 0.2  (d) -0.5  (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + 0 + 0 + 1. Suppose 3*b - 4*b = -m. Let j(c) = -c**3 + 6*c**2 + 9*c. Is j(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = -4*i + 22, 5*s - 1 = -i - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -2*l + 14, -3*h - 24 = 2*l - 6*l. Solve l*t = -13 + 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 328924665 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1248449469.\nAnswer: 3, 416149823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -384693331 bigger than -384693330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-39))\/((-60)\/(-195)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 1664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -4. Let x(a) = 11*a - 3. Let n be x(p). Let u = n + -11. What is the remainder when 14 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39 - 2985)\/(-56) + -80.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 5:17 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -17*g**6\/3 - 35*g**2\/2 - 15. Find the second derivative of k(z) wrt z.\nAnswer: -680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*u + 274 = 50 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -448*u - 179. Calculate the remainder when n(-1) is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9255.962 millilitres in litres?\nAnswer: 9.255962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 3*t - 2*j + 4, 2*j = -4*t + 8. Let u be 2*(6 + t + -3). Let h be -1 + (3\/1)\/3. Solve h = -q + 4, -3*m = -4*m + q - u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 1  (c) -2\/9  (d) -3  (e) 0.304  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.058 + -0.042. What is the closest to -1 in p, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 + (-8 - 80) + 18\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 12*o**2 - 13*o + 5. Let b be r(-13). Suppose 2*x = b*j - 469, 4*x = j - 4*j + 271. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0372007 take away 1.37?\nAnswer: -1.3327993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/64 and 157\/10745868.\nAnswer: 171933888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(-15))\/((-1)\/18). Suppose 22 = 2*z + o. Let r(b) = 3*b + 2. Let g be r(2). Calculate the greatest common factor of z and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (21*c - 12*c + 6*c)*(-3 - 2 + 6)*(0 + 1 + 1) as m*c + o and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4941, -19771, -44487, -79089, -123577, -177951, -242211?\n\"Answer: -4943*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2319, 4558, 6655, 8544, 10159, 11434?\nAnswer: 12303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291*y + 377*y - 462*y + 378*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 8, 0, 5 in ascending order.\nAnswer: -3, 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**10\/((i*i**3)\/i))**(-30) assuming i is positive.\nAnswer: i**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -35.74 * 16.81\nAnswer: -600.7894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 6:24 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 22*i**2 - i. Let f(r) = 10*r**3 + r**2 - 1. Let c be f(1). Let s(v) = v**3 - 10*v**2 + v + 1. What is the remainder when a(1) is divided by s(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 522336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 158, 657, 1490, 2657, 4158, 5993?\nAnswer: 8162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -5. Suppose 2*s = -s + 12. Suppose 0 = -p + 5*p + 4*d - 36, s*p = -3*d + 36. Solve p = -q*f + 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) - ((-4 + sqrt(1100))*1 - sqrt(1100))) + (sqrt(11) - (sqrt(1331) - -4*sqrt(1331)) - sqrt(11)) + 0.\nAnswer: -45*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2326 is divided by 572?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 671 + -716. What is the units digit of h\/2*-86*(-5)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 603489207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 430 divide 1035870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4760 and 1220056.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, o: 2, m: 1, u: 1, x: 1}. What is prob of picking 2 o and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((2 + -6 - 2)*-1)\/2. Let c(j) = j**2 - 8*j + 8. Let o be c(6). Let z(p) = 2*p**2 - p + 6. Let w(k) = 2*k**2 - k + 5. What is o*w(f) + y*z(f)?\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 3*x**2\/5 - 28689*x\/5 + 42666246\/5 = 0.\nAnswer: 1842, 7721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 27 + 16 + 6 - (-19 + 7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q + 40 + 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) 4  (b) 0.4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -15.2. Let q be (1\/4)\/(14\/88). Let u = q - 26\/21. Which is the nearest to u?  (a) 0  (b) -2\/5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001753762 to six decimal places.\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23775 - 12308. List the prime factors of c.\nAnswer: 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126267*t + 126267*t + 2 - 2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*h - 2 = 0. What is the least common multiple of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 1 - 13 = -2*j, 0 = -2*j - 4*p - 12. Suppose -3*t + 1914 = w, 5*w = -j*t - 1361 + 10892. What are the prime factors of w?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 4*o = -22, 2*o + o = -12. Let v(r) = r. Let h(q) = 13*q - 4. Let j(m) = -h(m) + 2*v(m). Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -305880 divided by 10?\nAnswer: -30588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45164*l + 60252*l - 206551*l.\nAnswer: -191463*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/495545 at least as big as -0.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -17. Suppose z = 4*z - 120. Calculate the greatest common divisor of z and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*u + 12*u + 1368 = 73*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2792 - 1075 - 1291)*(-i + 6*i - 3*i) in the form a*i + x and give a.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1*-4)\/(24\/(-5844)). Suppose 0 = -10*c + 366 + y. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*c - 1 + 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 224359*l**3 + 2*l**4 + 3*l + 2*l**2 - 224357*l**3 + 0*l**4 to g*l**2 + w*l**4 + z + k*l + t*l**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of -5*x**2 + 12*x - 4. What is the derivative of r(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -211*g**5\/6 - 3731*g**3\/6 + 3483*g**2. What is the derivative of i(j) wrt j?\nAnswer: -4220*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 6) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of 0*m**4 + 0*m**2 - 5\/6*m**6 + 0*m**5 - 19\/3*m**3 + 0*m + 6. What is the third derivative of i(p) wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.2, -1311.677, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5269*p - 104496 - 6153 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.27888843 rounded to two decimal places?\nAnswer: -8.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*(o\/(o**(-4)\/o*o*o))\/o*o**(-10)*o*o)\/(o**(2\/9)\/(o\/((((o*o\/((o*o*o**(1\/2))\/o))\/o)\/o)\/o))) assuming o is positive.\nAnswer: o**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 18 + 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.78 + 0.28. Let r = 3 + -2.8. Let n = -0.4 + r. Sort 0, x, n.\nAnswer: x, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -7 - 3. Let i be (198\/110)\/(2\/m). What is the common denominator of -87\/4 and (-93)\/i*3\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (38\/(-4))\/((-2)\/4). Let d = -12 + h. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/4*4 - 4. Suppose k + 2 = s + 3, -s = o*k + 11. Let t(l) = -l + 1. Let g(r) = r**3 + r**2 - 4*r + 2. Let i(u) = g(u) - 2*t(u). Determine i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 0 + (1*sqrt(891)*-6)**2 + 2*sqrt(891)*-1.\nAnswer: -18*sqrt(11) + 32074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-11)\/(-99))\/((-2)\/(-6))*15. Solve v*n + z = -9, 3*n - 5*z - 1 = 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - w = 24, 31 = 5*d - 2*d - 4*w. Suppose 0 = -5*k + 2*a + 75, d*k + 5*a = k + 60. What is the remainder when 72 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/5450 and 72\/3815.\nAnswer: 38150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 4*n - 1. Let k be h(-3). Suppose -4*b + 34 = -2*l, 3*b = 3*l + k*l + 43. Calculate the highest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2513 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.17 + -9.83. Let h = x - -10.03. Let w = 33 - 33.5. Which is the biggest value?  (a) w  (b) 1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1111 + 1110.9997004. Round c to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**5\/7 - 22*l**4\/7 + 16*l**3\/7 + 40*l**2\/7 = 0. Calculate l.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13, 19, 5, -41, -131, -277, -491, -785?\n\"Answer: -2*l**3 + 2*l**2 + 14*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222001010 - -20?\nAnswer: 222001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*f**2 + 1962*f + 9644?\nAnswer: -4*f + 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0.07, 1\/3, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/8)*((f\/(f\/(f*f\/(f*f\/(f*f**6)*f*f)*f)))\/f)\/f*(f**(3\/20)\/f)\/((f*f**(-1\/22)*f)\/f) assuming f is positive.\nAnswer: f**(911\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/((-110)\/12))\/(12\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1659, -2\/21, -6 in descending order.\nAnswer: 1659, -2\/21, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000439705 to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 0 = -2. Let d be 2 - (1 + h)*2. Suppose -28*j + 4*j + 83 = 11. Solve -q = j*q - d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 129590256*r**2 - 240265459*r wrt r?\nAnswer: 259180512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0251827 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13386 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.8 + -1.8044. What is o rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*l + 3*l + 9002. Calculate the remainder when l is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4212, 4211, 4210, 4209, 4208?\nAnswer: 4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000447193 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2457, -4899, -7341, -9783, -12225?\nAnswer: -14667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*o - 431 = -5131 - 3913 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + -21 - (-14 - 11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + t - 263643997 = 0, -3*m + 41*t - 36*t = 197732985. Round m to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k = -9 - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/4 - 1*157\/(-4). Suppose 24 - v = 3*d. Let p = -411\/65 + 90\/13. Which is the biggest value?  (a) 0.4  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjd when three letters picked without replacement from {j: 2, d: 4, r: 4, t: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**4 + 13*c**3 + 4*c**2 - 14*c - 18. Let n(a) = -2*a**4 + 12*a**3 + 4*a**2 - 16*a - 18. Let v(z) = 5*n(z) - 4*y(z). Factor v(u).\nAnswer: -2*(u - 3)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -58648*a*q**2*v - 2*a*q**2 - 1120*a*q*r - 3*a*q + 79*a*v + a + q**2*r*v - q*r + 103*q - 5*r wrt v.\nAnswer: -58648*a*q**2 + 79*a + q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14519801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1409.356184 + -63.8.\nAnswer: 1345.556184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u**2 + 7*u + 5. Let c = -1 + 3. Let n(f) = 7*f**2 + 14*f + 10. Let o(g) = c*n(g) - 5*h(g). Calculate o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 14471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*a**4*g - 73*a**4 - 9*a**3*g - a**2*g - a*g - 2144*a wrt a.\nAnswer: -192*a*g - 1752*a - 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3175*75*(-160)\/(-3). Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -11, -1, 3, -99 in descending order.\nAnswer: 3, 2, -1, -11, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 155932007.5 to the nearest ten thousand.\nAnswer: 155930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.83511ml to litres.\nAnswer: 0.00983511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(sqrt(90) + -3*sqrt(90)) + -2 + (-1 + 1*sqrt(1700) - sqrt(1700) - sqrt(1700) - sqrt(1700)*-2*5)**2.\nAnswer: -1081*sqrt(17)\/6 + 137699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 132199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 4*u**2 + 8*u + 4. Let f(m) = -3*m**3 + 11*m**2 - 23*m - 11. Determine 11*c(v) + 4*f(v).\nAnswer: -v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 1. Let l = -4 + 10. Suppose -5*i - 1 + l = 0. Let z be n(i). Solve 2*r = -4*d + 5*d - 1, z*r + 3*d - 11 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1205089*x**5 - 69*x + 5246.\nAnswer: 24101780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 + 4*v**3 - 2*v**3 + 0*v**3 - 2*v**3 + 3*v**3 + (3*v + 2*v**2 - 3*v)*(2*v + 2*v - 2*v) + (0 + 0 - 2*v)*(-220*v + 16*v**2 + 220*v).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1173240*d**4 - d**3 + 140*d**2 - 7171.\nAnswer: -28157760*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/5 - 354*w\/5.\nAnswer: -3*w*(w + 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6683 + 4036 = 2*k + 5*u, -5*u = -3*k + 16116. What are the prime factors of k?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 0  (b) -17  (c) 2  (d) 3  (e) 9  (f) -4  (g) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 320 = 5*m. Suppose t = -3*x + 96, m + 158 = 2*t + 4*x. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33 + 1223.98.\nAnswer: 1190.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 10 = 215. Let p = s + 50. What is the least common multiple of 11 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -151 - 161. Let a = q - -331. Solve a = -3*d - k, 5 = -2*d - k - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149923 is divided by 1304?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -7 + 3 + (-6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 139 - 138.5. Let l = 245.5 + -244.5. Sort 3\/10, a, l in increasing order.\nAnswer: 3\/10, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**3\/19 + 102*d**2\/19 + 1084*d\/19 + 1776\/19 = 0.\nAnswer: -37, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 4*d + 61 = 5, 3*r - 57 = 2*d. Calculate the remainder when 558 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 323\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 4. Solve -u*t + 3*h = -29, 0 = -0*t + 2*t - 5*h - 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 325 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of g**3\/3 + 2*g - 170. Let z be u(2). Solve -20 = 16*d - z*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*y - 6 = 7, a + 3*y = 17. Let j be (-1)\/a - (-143)\/65. Differentiate 3*l - 2 + 10 + j wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12, -31, -40, -21, 44?\n\"Answer: 3*n**3 - 13*n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 1.4  (c) -3\/5  (d) 4\/7  (e) -0.2  (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11753 and 26507?\nAnswer: -311536771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -974*b**3 - 37*b**2 - b - 68379.\nAnswer: -2922*b**2 - 74*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/3340 and -125\/6?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 332572212*k - 332572212*k - 26*k**3.\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/21  (b) -415973  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 129*m**2 - 615*m - 680. Calculate j(124).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 m when four letters picked without replacement from mtgmtggdmtgdggggmsg?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 + 69. Suppose 28*r = x*r + 98. Does 34 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -274*n**2 - 10*n - 30. Let r(y) = -91*y**2 - 3*y - 9. Let w(s) = 3*d(s) - 10*r(s). Let z(k) = -24*k**2. What is z(w(x))?\nAnswer: -185856*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 17*s**3\/3 + s**2 + s - 20. Suppose q = 3*q + 4. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/4*17917\/(-9430).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**6\/15 - u**5\/2 + 19*u. What is r in n(r) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*n + 8. Suppose 0 = -117*t + 189*t + 197*t + 1345. Sort 0, t, -3, n in decreasing order.\nAnswer: n, 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((-7)\/((-56)\/(-12)))*1. Let p(y) = 275*y + 17. List the prime factors of p(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - c + 4 = 2*m, 0 = 2*m + 6. Let v be ((31 - 1)\/c)\/(2\/3). Suppose 0 = q + 2*x + 3, 0 = -0*q - 3*q + 3*x + v. Solve -q - 1 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 19.2793 and -8.9.\nAnswer: 10.3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1378 divided by -689?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8438062 or -8438063?\nAnswer: -8438063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 98 - 55. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 196\/42 + (-2)\/3. Factor -18\/7*b**5 - 8\/7*b**2 + 0*b - 6*b**p + 0 - 32\/7*b**3.\nAnswer: -2*b**2*(b + 1)*(3*b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 0*h - h)*(-4*h + 2*h + 0*h)*(116*h - 773 + 773).\nAnswer: 464*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.9535 - 0.0465. Let j(q) = -q**2 + 3*q + 5. Let u be j(5). What is the fourth smallest value in u, -1\/9, v, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from nllxlxlxl?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 7*x**2 + 6*x - 13. Let q(c) = c**3 + 12*c**2 + 11*c - 9. Let y be q(-11). Is z(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12682.8 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26.87168261 - 0.35.\nAnswer: -27.22168261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3592*g - 569. Is s(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508927 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: Collect the terms in -46*l**2 - 128*l**3 + 80*l**2 - 34*l**2.\nAnswer: -128*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*v + 2*k = 73*v - 10, -5*v + 17 = -3*k. Solve -17*w + 2*z = -18*w + 3, v*w + z - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 255 + -255. Is 2\/237 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (60 + 24*g - 60)*(-11*g - 2*g + 14*g)*((-4 + 2 + 1)*(4*g - 3*g - 2*g) - g + 2*g + 0*g - g + g + 4*g + (-g - 2*g - 2*g)*(0 + 1 + 0)).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4495 - -0.0505. Sort -1\/6, y, 28 in descending order.\nAnswer: 28, y, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - h + 3*h = 19, 2*j - h = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 6 = 3*a, 3*f - 2 + 6 = -2*a. Let x(c) = -2*c**3 + 5*c - 2. Let t be x(a). Solve t*j = -16 + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/3 - 1319482*h\/3 + 1319488.\nAnswer: -2*(h - 3)*(h + 659744)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 7. Suppose 0 = 5*u - 3*u + 10. What is the tens digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kdrrwfddkd. What is prob of sequence dddd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/619 + -625\/1857. What is the second biggest value in a, 0.1, -10, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + 37 + (-2 - -11) - (-6 - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3931 + 3918. Let c(b) = 4*b + 20. Give c(g).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/191?  (a) 0.01  (b) -0.05  (c) 2\/9  (d) -9  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-33)\/44 - 1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -9*h + 532. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.27 - -0.27. Let y = -16 - x. Let n(b) = -b**2 - 3*b - 3. Let c be n(-3). Sort y, c, 0.05.\nAnswer: c, 0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318141613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 452fd + 6?\nAnswer: 45303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3790.\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ec + -8375?\nAnswer: -8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2 = 2*v + 7, -10 = 2*v. Suppose 12 = 2*o - 0*o. Let q(x) = -6*x + 15*x**2 - o*x**2 - 1 - 5*x**2 - 5*x**2. Determine q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(1377) - sqrt(1377)*4)*4 + 3 - (-1*sqrt(1377) + -3 - (-4 + sqrt(1377)*1 + sqrt(1377)))))**2.\nAnswer: -11664*sqrt(17) + 4015476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 119948637007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -10*r**3 - 16. Let s(u) = 10*u**3 + 17. Let g be 1\/8 + 78\/16. Let i(l) = g*x(l) + 4*s(l). Differentiate i(j) wrt j.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -37625, -75253, -112881, -150509, -188137, -225765?\n\"Answer: -37628*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1, -0.1, 32, -16, 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-38)\/12 + (-9)\/(-3). Let g = 0.2 + -0.1. What is the nearest to g in 5, k, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - z + 14. What is t(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 0 - (-18 + 24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 41*y**2 - 3567*y - 11. Give j(87).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 18 = -s, -2*s = -184*t + 189*t - 51 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*b**3 - 30*b**3 - 85*b + 22 + 85*b in the form n*b**3 + x*b**2 + c*b + p and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 11:32 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/4)\/(-1))\/(25\/(-50))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -3*x + 8, -1 = 4*x + 2*s + 3*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 3258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*d - d + 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/163394 and 43\/441.\nAnswer: 10293822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 11*n**2 - 15. Let f(u) = 5*u**2 - 8. What is 9*f(x) - 4*r(x)?\nAnswer: x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, k: 14}. What is prob of sequence kfkk?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4296\/(-1611))\/((-1)\/((-6)\/7)) + 4\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.084 + -0.08441. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2))\/(11\/220). Suppose 6*i + q = 100. Suppose -6*y + 11*y + i = 0. Put 2, y, -5 in descending order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 54\/(-12)*56\/(-18). Solve -11*y = -u*y + 6, 2*t + 12 = 4*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i - 4. Suppose -5*y + 40 = 5*w, 0 = -2*w + y - 0*y + 13. Let k be b(w). Suppose k*r - 27 = -0*v + v, 0 = v - 3. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -587, -89, -5 in descending order.\nAnswer: -5, -89, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 27 = 4*i + 5*t, 2*t - 1 = 3*i. Suppose 3*a + 3*j = 9, 2*a - a = 3*j + i. Solve 0 = -s + a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-6 - 2 - 3) - 13\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 20*z - 1\/3*z**3 + 1\/4*z**4 + 1 + 1\/2*z**2. Let d be u(0). What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86 + 12*t**2 + 21 + 44 to g*t + y + k*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.0132 + 0.9462. Let i = 0.067 + r. What is the closest to 2\/7 in 0.27, i, -3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -0.078, -4 in descending order.\nAnswer: 1, -0.078, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3035801*v. Let k(g) = 2*g. Determine r(k(b)).\nAnswer: -6071602*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -p*u**3*z - 2629*p*u**3 - 10*p*u**2*z - 7*p*u**2 - p*u*z - 51*p*u - 2*p - 37*u**3*z + 14*u**2*z wrt u?\nAnswer: -6*p*z - 15774*p - 222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -716 + 795.75. Let y = s + -1.35. Let c = y + -78. What is the closest to c in 0.1, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + (-48)\/(-22) + 11226\/(-33). Let k = s + 347. What is the smallest common multiple of k and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/(-6) + 0 + -2. Let y(w) be the first derivative of -4\/3*w**3 + 0*w - w**2 + 1 + x*w**4 - 8\/5*w**5. Factor y(h).\nAnswer: -2*h*(h - 1)**2*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -3 - (8 + 1 + (-3 - 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 8*w. Let y(b) = 26*b + 5638. Determine h(y(r)).\nAnswer: 208*r + 45104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44*o + 905 + 6 - 31 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 261 and 5253.\nAnswer: 457011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-196)\/(-12))\/((-1)\/(-3)). Suppose 0 = 4*k + 4*l - 32 + 4, 3*k - 4*l = n. What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*v + 6*v - 2*y + 9, 2*y = 3*v - 67. Suppose 0 = -4*q, t = -q - q + v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 521538*q - 286551 wrt q?\nAnswer: 521538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 961*j**2 - 102*j + 7 wrt j?\nAnswer: 1922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from jpjjjjjpppjpjj?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239268 is divided by 5839.\nAnswer: 5708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191 + 315 = -24*j - 476 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59450 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 2*n - 60. Let i = n - -20. Calculate the remainder when 9 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 6536917\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 575 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 89193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.4 - 2.9. Let k = 5 - 0. Which is the closest to -4?  (a) k  (b) p  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1663 = -627. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*3 + sqrt(448))*1*-5 + (sqrt(7056) + 1*sqrt(7056) + sqrt(7056) + sqrt(49))\/(sqrt(63)\/(2*sqrt(9)) + sqrt(7)) + 1)**2.\nAnswer: -1052*sqrt(7)\/3 + 1936741\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 + 591. What are the prime factors of g?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12275646 (base 8) to base 13\nAnswer: 742575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (-3 - 190\/(-70)) + 4708\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 106?  (a) -1  (b) -1\/3  (c) -2  (d) 2\/3  (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6 * -11.76\nAnswer: -70.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-28) + 193\/7. List the prime factors of 5\/((-52)\/w - -2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 6) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 5*r + 0*r - 2*r. Let t(s) be the third derivative of 5*s**4\/24 + 141*s**2. Determine o(t(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 73207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*1271\nAnswer: 381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7851701 kilograms in nanograms?\nAnswer: 785170100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0917 and -2.5.\nAnswer: -2.4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -11110111010010010?\nAnswer: -11110111010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 442497617 divided by -45139.\nAnswer: -9803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18118\/15 + 1208. Let r = -1\/51 + 56\/255. What is the nearest to m in -1\/5, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 6*d - 3*t - 56, -4*d + 184 = -4*t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -153 - 0.75?\nAnswer: -153.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 11*b + 12. Give s(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 81891 and 5055?\nAnswer: 409455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -106916053, -213832110, -320748167, -427664224, -534580281?\n\"Answer: -106916057*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -6. Suppose -g + y = -2. Suppose 38 = 5*b + 2*l, -g*b + 2*l + l = -35. What is the highest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77858*i - 56 - 54 + 166 + 77721*i - 57.\nAnswer: -137*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-6))\/(1\/(-6)). Let w be 4\/(-3)*(-225)\/(-10). Let v = -28 - w. Solve v*k + 0*k + a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 + 23. Let q = y - -10.1. Which is smaller: q or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-177*g**5 + 268*g**5 - 145*g**5)*(-1 - 4 + 4 + (-2 - 2 + 3)*(5 - 6 + 5)).\nAnswer: 270*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22220010 + 2?\nAnswer: 22220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/448 and 71\/4.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 75*u**2 + 56*u + 500. Let a be d(-16). Calculate the greatest common divisor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -42?  (a) -1  (b) -4  (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23301 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -8. Let h = 62840 + -62840.1. What is the nearest to -1 in h, -5, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85\/76 + -7\/19. Sort -30, d, -3, -5\/2.\nAnswer: -30, -3, -5\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 0.4, -2, 14.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 981\/155 + -4\/31. Find the common denominator of m and -35\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -95\/14 - -13\/2. Let w = 123.45 - 120. Let b = 3.4 - w. Sort b, d, -3 in decreasing order.\nAnswer: b, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 407724288676 take away 0.5?\nAnswer: 407724288675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8889722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 4:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/18543 and -22\/3.\nAnswer: 18543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*m - 13*m - 23*m - 34*m + 69*m - 31*m.\nAnswer: -56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 7*i = -10*i - 5, 3*r - 57 = -5*i. What is the smallest common multiple of r and 3244?\nAnswer: 22708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1062980 or 1062977?\nAnswer: 1062977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6 take away -0.3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5956?\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19049 and 8135252?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - (27 - (22 - -5)) - -14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1051108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.611559908 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 33. What is the greatest common factor of a and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 1, -0.9, 70, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 10b6b?\nAnswer: -10b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (11284\/(-16))\/(3\/(-108)*1). What is the second derivative of -11*p**3 + 25389 + 36*p + 3*p**2 - j wrt p?\nAnswer: -66*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, n: 1, j: 1}. What is prob of sequence niji?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*f**3 + 2*f + 0*f + 18*f**3 - 3 + 29*f**3 + 2 to z*f**3 + o + x*f**2 + k*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 808, 642, 476, 310, 144?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 4*k - 5. Let v be 1\/4 - 3\/12*1. Sort -4, k, v in ascending order.\nAnswer: -4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2771817104.\nAnswer: 2, 7, 47, 75223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from bkkhkkbhhkhbk.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -17*k + 128. Let j(s) = -s**3 + 9*s**2 + s + 13. Determine j(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1926400 (base 10) to base 2.\nAnswer: -111010110010100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 4*k**4 + 224*k**3 + 4320*k**2 + 31104*k + 46656 = 0?\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (26\/(-6) + 3)*(-5)\/(-20). Which is the fourth smallest value?  (a) 5  (b) 16  (c) -0.1  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -2\/15, 5, -81, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*d**5*r + 20*d**4 - 756*d + 2*r wrt d.\nAnswer: -440*d**3*r + 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (18 - 20)\/(2\/(-38)). Suppose 245 = l*b - 211. What is the greatest common divisor of b and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -126*t**2 + 53*t + 90. Calculate z(-2).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**4 - 1393719*g**3 + 4181175*g**2 - 4181181*g + 1393728 = 0.\nAnswer: -464576, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-40)\/(-18) + (-2)\/9. Suppose -y*q = -4*q + 18. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 762095 is divided by 823.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = p + 3*z - 0*z, -2*z + 20 = 4*p. Let c(x) = -x**2 + 2*x - 3. Let w be c(p). Let f = w + 14. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28299113.\nAnswer: 19, 827, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 253571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -311 + 311 - 342593*a**2.\nAnswer: -342593*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from elsllessleesele. What is prob of picking 1 l, 2 e, and 1 s?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4.1 times 0.04\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 36 = -4*w, -2*r - 5*w - 11 = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*a**2 + 6*a**4 - 10*a**4 - 10*a**4 wrt a.\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 236 = 24*r - 26*r, 0 = -6*r - p + 653. Let s = 141 + -86. Calculate the remainder when r is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 4*m = -8, 0*m + 13 = -2*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4297.862 decades?\nAnswer: 42.97862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*c, -4*f + 5*c - 4 = -154. Let p = f - -35. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110421 (base 5) in base 11?\nAnswer: -29a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 504 and 4664.\nAnswer: 293832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2554393111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 - -23?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (550\/(-528))\/((-15)\/12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, -3\/2, -2\/41, 107, -3.47?\nAnswer: -3.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*d**4*z**2 + d**2 - 2*d*z**2 + 555*z**2 with respect to d.\nAnswer: 40*d**3*z**2 + 2*d - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, -0.02, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/15*1*-5. Suppose n*i = -2*i + 10. Let w be (9\/30)\/(i\/(-4)). Is 0.1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -3*sqrt(85)\/sqrt(5) + -5.\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - 36*f**2 - 302*f + 23. What is v(43)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 5*x + 13 - 4*x**3.\nAnswer: -4*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 + 0.56. Let i = -0.06 - 0.24. Let q = 4.7 - i. What is the third smallest value in -2\/11, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1731095 by 115.\nAnswer: -15053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -9566965801 to the nearest 1000000.\nAnswer: -9567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) -0.4  (b) 0.1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -695004, -1389995, -2084986, -2779977, -3474968, -4169959?\nAnswer: -4864950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 13*t**2. Let m(c) = -7*c**2 + 8*c**2 - 2*c**2. Calculate b(m(v)).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-6*sqrt(34)*3 + sqrt(136)*5)\/((-3*sqrt(32) + sqrt(32))*5*-1))**2.\nAnswer: 142\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0)**(-1\/55)*g**(8\/7)*g*g**(-13)*g assuming g is positive.\nAnswer: g**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.1, -0.8, 2, -50?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f + 1. Let c(u) = -3*u - 6. Let g(q) = -c(q) + 4*z(q). What is the remainder when 19 is divided by g(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + -20a?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8704\/13  (b) -4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62\/39 - 12\/13. Let j = 680 - 680. What is the nearest to j in u, -19, -5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -137205 divided by 9?\nAnswer: -15245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 2. Let v be (-4)\/18 + 77\/63. Which is the nearest to v?  (a) i  (b) -5  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/20 and -77\/14836?\nAnswer: 74180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151, -271, -377, -463, -523?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.49 and 34.67?\nAnswer: -190.3383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 22027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12*-0.138\nAnswer: -1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*k = 3*k - 16, -k + 16 = -2*l. Let d = l - -7. Is 1097*(d + (-2)\/2 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 3*j + 20, -4*j + 0 = z + 5. Factor j*q**2 - 2\/3*q**3 + 2\/3*q + 0.\nAnswer: -2*q*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.733 + -0.097. Let z = 2.7 + k. What is z rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -22. What is the lowest common multiple of 16\/7 + (-4)\/14 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -9*k**2 + 7*k + 11. Suppose -13*n + 47 = -31. Let y(q) = 5*q**2 - 4*q - 6. Calculate n*f(u) + 11*y(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 * -5242.\nAnswer: -110082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h + 2*z - 16, -2*z + 428 = -4*h + 412. What is the nearest to -5 in 3, -0.3, 23\/11, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3*f + 25707, y + f + 17139 = 3*y. Let a = -4861 + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1860 and 38130?\nAnswer: 76260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(2\/23)*m)**(1\/39)*(m**(-2\/7)\/m)**25 assuming m is positive.\nAnswer: m**(-67163\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 463841 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 326a?\nAnswer: -326e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 29*x**3\/3 + 2. Let p(l) be the first derivative of -9 + 2\/3*l**3 + 0*l**2 + 0*l. Determine p(r(d)).\nAnswer: 1682*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -73959250 less than 160?\nAnswer: 73959410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/5*y**4 + 0*y**2 - 6\/5*y**3 + 0 + 0*y = 0. What is y?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4296354265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -1, 0 = 5*w - 5*m + 6 - 1. Let d(v) = v**2 - 6*v - 24. Let l be d(9). Suppose -5*q - g = -8, 8 + 2 = l*q - 2*g. Solve -r - q*r + 6 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 410147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 3. Let n = 0.3 + p. Let z = 83\/3 - 28. What is the closest to 1 in n, 0, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6973 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -16*f + 16. Let w(u) = 27 + 92 - 210 + 90. Give -l(g) - 16*w(g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -7323?\nAnswer: -7324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t - 327 + 16953390375*t**3 + 29 - 16953390376*t**3.\nAnswer: -t**3 - 4*t - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1971118 divided by -1971118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 174 + -174. Find the common denominator of 50 and b\/(-2) - 106\/(-20)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00056654599 rounded to five dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145742822 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in -3, 15229, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 18. Determine u(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -63722+460\nAnswer: -63262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-126)\/20)\/3*((-23808)\/(-288))\/124.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - 1)\/((6\/1206)\/(-1)).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -237405 and 2.421 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 2*h + 4*h)*(-51*h - 8*h + 170*h).\nAnswer: -111*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + 420984115.\nAnswer: 420984111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.047  (b) 0  (c) -47  (d) 3  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 4, 7 in increasing order.\nAnswer: -2, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 683*x**4\/12 - x**3\/6 - 8*x. Let z be d(1). Let h = z + -471. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -433, 23, 9 in descending order.\nAnswer: 23, 9, -3, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/(-21) - (-1)\/((-8)\/26)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 108 = -4*c. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n + 1. Let m(k) = -10*k - 43. Let y(r) = 3*h(r) + m(r). List the prime factors of y(-18).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 38176016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 8:18 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.02 and -181986 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237037*b - 381866*b + 90021*b - 57577*b.\nAnswer: -586459*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 50  (b) 273  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 + 18 - 60 = -26*c. Let x(q) be the first derivative of -14\/27*q**c + 11 - 23\/9*q**2 - 4\/3*q. Factor x(v).\nAnswer: -2*(v + 3)*(7*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211111 - -200?\nAnswer: 212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m = 464 - 434 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45299914 divided by 2384206.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-7\/5)\/(k*k**6\/k*k))\/(k**(-3)\/(k*k*k\/((k\/(k*k**(-3\/2)))\/k)*k)))\/((k\/k**3)\/k*k*k\/(k*k**(-1\/2))*(k*k*k*k**(-4\/3)*k*k)\/k**3) assuming k is positive.\nAnswer: k**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f**2. Let s(c) = 28*c + 6523 - 6523. Give j(s(d)).\nAnswer: -2352*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1366, 1, -2, 0 in ascending order.\nAnswer: -1366, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -53*v**7\/70 - 157*v**3\/3 - 31*v**2. Differentiate u(a) wrt a.\nAnswer: -636*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1994, 3981, 5968, 7955, 9942, 11929?\n\"Answer: 1987*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 4. Let n = 0.056 + -1.056. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 422350677617661 + 0.\nAnswer: 422350677617661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-4) + 0\/(-2). Let n(c) = 2*c + 2 - 1 - 3*c. Let a(d) be the second derivative of d**3\/3 + 2*d**2 + 36*d - 4. Determine f*n(z) + a(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 14 = -x - 23, -35 = 2*x + 3*a. Find the common denominator of (-12)\/x + (-2482)\/396 and -71\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 1:37 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21313796.\nAnswer: 2, 7, 761207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3\/4, -3, 11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -257155, -257192, -257281, -257446, -257711, -258100, -258637, -259346?\nAnswer: -260251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Sort -167, -0.02, 5\/3.\nAnswer: -167, -0.02, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/180*-20)\/(16\/(-3)). Sort -13\/6, -3, 3, 7, m.\nAnswer: -3, -13\/6, m, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20826653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -42 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-10 + 0 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 926 is divided by 611.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9407, -9397, -9387, -9377, -9367?\n\"Answer: 10*y - 9417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 - 5*u - 2. Let c be k(-4). Let h = 11 + -10. Suppose 2*a - 4*w = -10, w + h + 1 = 5*a. Put -3, c, a in decreasing order.\nAnswer: c, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -17867325 = -17867325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(-21) - 36\/27.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5 + sqrt(19))**2 + 1*sqrt(931) + -3.\nAnswer: 46 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = w + 3*b + 6, 0 = -4*w - 3*b - 3. Let v(d) = -2*d - 4. Let s be v(w). Solve 13 = -3*m - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -56*o - 7. Let v be d(-5). Let w = v + -114. Suppose 33 + w = 4*r. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 18. Let x = j - -7. Let f = x - -17. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12355283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131 + 96 + 103 + 51*n - 532 + 99 + 105.\nAnswer: 51*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 3*h**2 - 3*h - 2. Let i be b(3). Let o = 16 + i. Suppose -o*g + 48 = -g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1776, -3583, -5410, -7251, -9100, -10951?\nAnswer: -12798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of 7*o**4\/12 + 3*o. Let v(q) be the third derivative of -q**4\/6 + 26*q**2. What is v(w(f))?\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5412 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 213521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + i**3 + (3*i**2 - 2 + 2)*(5946*i - 12344*i + 7696*i).\nAnswer: 3895*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 1. Let t be i(-1). Let d = 28 - 26. Suppose 4*c - 9 = s, 0 = d*c + c + 3*s - 18. Solve -t*l - c*l = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1517.3 + 1569.844. Let c = s + -0.044. What is c rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -183?  (a) -1\/11  (b) -3  (c) -5\/87  (d) 2\/11  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/9))**(-2\/17))**(-14\/9)*(z**(1\/4)*z*z\/(z\/((z*z*z**(-3\/5))\/z)))**(-2\/13) assuming z is positive.\nAnswer: z**(-38161\/179010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6188099.\nAnswer: 499, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t**2 + 16*t + 2. Determine h(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 14 + 320*x**2 + 10.\nAnswer: 320*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 919226*i**4*w + i**3*w + 36*i*w - 3*i + 225*w + 13 wrt i.\nAnswer: 11030712*i**2*w + 6*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9860937225 and -53.\nAnswer: -9860937278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3052 + -3051.8. Which is the biggest value?  (a) -2  (b) -85  (c) -0.3  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 0*z + 336 = 0. Suppose 25 = -z*w + 33*w. Let f = 0.8 - -2.2. Sort -3, f, w in descending order.\nAnswer: w, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 11, g: 9}. What is prob of picking 1 c and 1 g?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18458\/5 - -3598. Let a = p - -94. Let h = -2.675 + -2.325. What is the nearest to 1 in a, h, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 11:43 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2882 - 51991\/18. Let k = 104125\/18 + -5783. Calculate the common denominator of i and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2994 - 2996. Which is the closest to 0.1?  (a) 4  (b) y  (c) -4\/3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -80 + 3. Let m = y - -37. Let z = 41 + m. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (486\/(-3))\/(-2*(-4 + 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -767605, -1535109, -2302613, -3070117?\n\"Answer: -767504*s - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23 + 68. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 170\/1927519 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + (-1 - -4))\/(12*(-1771)\/2772)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -5*o - 3. Let c be r(-3). Suppose z = -z + c. What is the smallest common multiple of z and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, -0.5, 0.5, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 33495293357 - -0.901\nAnswer: 33495293357.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -z**4\/6 + 3*z**3\/2 + 2*z**2 - 13*z + 8. Give j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94 + 94 - 2*m**2 + 13*m**3 to the form i + x*m**2 + n*m**3 + d*m and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rywr. What is prob of picking 1 y, 1 r, and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + (-6 - 1))*1. Let y(q) = -5*q - 8. Is 5 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/29 - 77\/145. Put 1\/4, m, -0.3 in ascending order.\nAnswer: m, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.03 and 577 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 11:16 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -104, 5, 6, 153, -1.\nAnswer: -104, -5, -2, -1, 5, 6, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-6*(sqrt(119) + (sqrt(119) - ((2*sqrt(119) - sqrt(119)) + sqrt(119)))))\/(sqrt(63)\/(sqrt(9) - -1*sqrt(9))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -185 - 95. Is u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1507 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1448933 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by -36.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 + 1195*k**3 - 350283*k**2 - 4072059*k + 21816540.\nAnswer: -(k - 603)**2*(k - 4)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 19\/10*x**5 + 0*x**2 + 0*x**3 + 0 - 23\/6*x**4 - 11*x. Find the third derivative of a(c) wrt c.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1593061374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 4. Let o be (-4)\/(12\/(-15)) - i. Is (1328\/24)\/(4\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -337 + 1136. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/36*63*308\/(-12397)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26775 and 18615.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 - 15532815?\nAnswer: -15532785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**2 + 2*n + 1. Give s(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d - 13*d = 56. Put 3, 4, d, -3 in descending order.\nAnswer: 4, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by (-5)\/((-34)\/12 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 15*p + 12. Let x(k) = 6*k + 5. Let q(f) = -5*r(f) + 12*x(f). Let j(v) = -14*v. Determine q(j(z)).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 + 2)*(37*j + 10*j - 10*j) as i + r*j and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11290100 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -11 + (2 - 20) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -6*p - 3*c, -3*c - 261 = 3*p - 255 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 337789\/8684620 + 5\/6052. Find the common denominator of k and -1\/1025.\nAnswer: 7175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o + 6. Let u be v(-9). Are u and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -1\/2. Let f = -22941 + 22942. What is the biggest value in f, h, -23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 5*o = 441 - 446, -21 = -3*q + 5*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2246 + 2249. Sort 7, n, 0, 5 in descending order.\nAnswer: 7, 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 18*q + 92. Let d be u(4). Solve 0 = -4*p - 4*c + d, -27*c = -3*p - 32*c + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(-21)*h))\/(h*h**(-5)\/h*h)*(h*((h*h**(-20)*h*h)\/h*h)\/h)\/h*h**(3\/10) assuming h is positive.\nAnswer: h**(-357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, b: 2, a: 2, i: 1, j: 1, c: 2}. What is prob of sequence ai?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 2*s + 6. Let w(a) = -4*a**2 + 7*a + 16. Let x(f) = -7*g(f) + 2*w(f). Let q(b) = -b**2 - 4*b. Let u be q(-4). Give x(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 7:57 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*n + 25, -2*i + 5 = n - 30. Calculate the remainder when 433 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 6*k - 12. Let j be f(9). Suppose 2*z - z = 4*p + j, 4*p = 5*z - 27. Solve -3*y = -z*l, -y - 4*l = 4*y - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16383253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 59809, 119886, 179963, 240040, 300117, 360194?\n\"Answer: 60077*z - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -15 - (27 - (38 - 38)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 67060.24 centuries?\nAnswer: 670602.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 110311301330 (base 4) in base 11?\nAnswer: 30a1613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 111.64 + -112. Let h = 10.84 - a. Let u = 8.2 - h. What is the third smallest value in u, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.8 + 1. Let y = 31 - 31.4. What is the third smallest value in y, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (3*sqrt(72)*-3)**2 + -4.\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + m = 5*h + 27, h = -m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**5\/60 - o**4\/24 + o**2. Let s be r(0). Let w be (-15)\/9*(-3 + s). Put w, 2, -3 in descending order.\nAnswer: w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*c = 4*o + 32, c - o = 9. Suppose -5*x = b - 6, -c*b = -0*b + x + 52. Let q be (b\/8 - -2)*(-8 - -16). Solve -q*k + 6*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.123618359 take away 3?\nAnswer: -2.876381641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 348 and 30972?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - k - 9, 0 = 4*x - 5*k - 151. Let m(l) = -23*l**3 + 2*l + 1. Let g be m(-1). Let y = g + -13. What is the remainder when x is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(2\/5)*k*k)\/k*k**(-5)*k)\/(k\/((k*(k*k\/(k\/(k**6*k)))\/k)\/k))**(1\/37) assuming k is positive.\nAnswer: k**(-266\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 8 = 4*a - 5*l, 5*a + 5*l + 20 = 0. Let j be ((0\/1)\/a)\/1. Suppose 0 = -j*b + b. Let u(h) = -h**3 - 8. What is u(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 77760555 and 77760555 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d + 15. Let s be i(10). Suppose k = s*k - 20. Suppose -9*r = -k*r. Solve -5*z - 2*j + 13 = r, -1 - 8 = -z - 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s**3 - 46*s**2 - 29*s - 19. Let b(x) = -x**3 + x**2 - x. Let v(w) = 2*b(w) + k(w). What is the tens digit of v(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 114 = -110. What is the hundreds digit of 3\/(j\/8 + (-11258)\/(-43784))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12658, -25296, -37946, -50614, -63306, -76028, -88786?\nAnswer: -101586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 81.\nAnswer: -4, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 2*u**3\/3 + 3*u**2\/2 + 3*u + 2. Let q be a(-3). Suppose -3*w + q = -21. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140621, 140617, 140611, 140603, 140593, 140581, 140567?\nAnswer: 140551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2546.97 - -2547. Suppose 9 + 29 = -5*d + u, -8 = -d - 5*u. Do v and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 2.112763\nAnswer: -6.338289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 57. Let q be (-798)\/(-16) + 74\/592. Is t not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9*(-12)\/(-54))\/((-2)\/3). Suppose -3*p + p = 0. Put -2\/9, -3\/7, p, r in increasing order.\nAnswer: r, -3\/7, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f + 3*l - 5, -4*f + 5*l + 28 = 39 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 2162.\nAnswer: 2\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15845, 15702, 15559, 15416, 15273, 15130?\n\"Answer: -143*r + 15988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + (-6)\/(-60)*36. Sort -1, 7, p in descending order.\nAnswer: 7, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, b: 1, k: 5, a: 1, f: 3, d: 1}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bnrvnbkxrvrrvrbvrnv. What is prob of sequence xn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16794 (base 12) to base 7.\nAnswer: 162643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - -1*1*sqrt(153) - sqrt(153)*-2*6)*2)\/(((-2*sqrt(90) - sqrt(90))*-1)\/(-2*sqrt(10)*-3)).\nAnswer: 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17)*-2 + -5)**2 - ((sqrt(544)\/sqrt(2))**2 - sqrt(17)) - (-4*sqrt(204)*-1 - sqrt(204))\/sqrt(12).\nAnswer: -179 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 513*d - 1712. What is r(3)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 2. Let b = 2561\/555 - 52\/185. Are z and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.636*-22.3.\nAnswer: 58.7828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eddede. What is prob of picking 1 e and 2 d?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*((k*k*k\/(k\/k**(2\/7))*k)\/k)\/k*k)*k)**(-34)*k*k**7*((k\/(k**(-1\/2)\/k*k))\/k*k)\/k assuming k is positive.\nAnswer: k**(731\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 577 + -429. Let x = m + -229. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 611 by 6.\nAnswer: 611\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -70 * -17\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13783, 13686, 13585, 13480, 13371, 13258, 13141?\nAnswer: 13020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = -4*a - 3. Let y be a - -3 - (-10)\/(-5). Is 14 a factor of (y + 2)*(-168)\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78111*x - 138*x**3 - 78111*x.\nAnswer: -138*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 3 = o. Let w be o + -15 + (2 - 2). Let t = -5680 + 5682. Which is the closest to w?  (a) t  (b) 4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1023 + -1024.116. What is s rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 12:52 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**3 - g**2 - 4087 + 4087 + g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = -37 + 34 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4989856, -9979712, -14969568, -19959424?\nAnswer: -24949280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 10*l + 7. Let u be x(11). Let q be -2*(-30)\/u + 6\/9. What is the third derivative of 27*r**2 + 21*r**5 + 26*r**q - 26*r**4 wrt r?\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 314584.\nAnswer: 1258336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (15*552\/(-3105))\/((-56)\/(-27) + -2)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10264*l**4 + 16*l**3 + 910668*l**2?\nAnswer: -246336*l + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -1422 + 908. Let v(r) = i - 3*r + 3*r - 509 + 2*r. Give v(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248\/(-31)*4\/800*-2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1313554 (base 6) to base 7\nAnswer: 420220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6837, -6425, -5727, -4737, -3449?\n\"Answer: b**3 + 137*b**2 - 6*b - 6969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6*g = 3*g - 24, -5*n - 4*g - 37 = 0. Let x = 1 - n. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 85.723 - 86. Let s = h + -0.223. What is the third smallest value in 5, s, 7, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttk when three letters picked without replacement from {k: 12, t: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 2*t + 14*q - 15*q, -4*t + 4*q = 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - a = 3*a + 12, 0 = 4*g - 3*a - 23. Is 17 a factor of ((-51)\/g)\/3*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61988 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4 = -2*d, -d - 16 = -64*l + 69*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-20))\/((41\/164)\/(10\/8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44816841317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 3*n - 8 = 0, 5 + 2 = 3*c + 5*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 2*f + 4. Let x = f - -6. Let y be (-371 - 1 - 0) + x. Round y to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16 + -2004?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 15) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 72 + 200. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5c14 (base 15) to base 2\nAnswer: -100110010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 10 - (-2 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*a - 484*a**2 + 1 - 13*a - 3.\nAnswer: -484*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3119 - -69?\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -529.550772 rounded to 1 dp?\nAnswer: -529.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 6) to base 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.824 - -2.176. Let u = -1 - -3. Let i be u + (-20)\/14 + 0. What is the second biggest value in -0.3, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 2*q**2 + 2*q. Let y be c(0). Suppose -3*p - 15 + 39 = y. What is the smallest common multiple of 5 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42050 divided by -10?\nAnswer: 4205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -225 + 420. List the prime factors of d.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*u + 223*u - 98*u + 273 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l + 9. Let h be v(5). Suppose 7*c - 10 = h. List the prime factors of (1 + 274\/(-10))\/(c\/(-35)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -234, -1848, -6232, -14772, -28854, -49864?\nAnswer: -79188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-4))**26\/(z**(-21)\/((z\/z**(6\/11))\/z)))**(-5\/3) assuming z is positive.\nAnswer: z**(4595\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from toototooooootoooto?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46551 is divided by 9277?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r + 1. Let v be s(2). Let u be (-10)\/v + (-4)\/(-18). Put 0.3, -0.3, u in descending order.\nAnswer: u, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**4 - 153*z + 6*z**2 + 6*z**2 + 155*z to a*z**4 + c + h*z + g*z**3 + q*z**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d + 2. Let g be c(-14). Solve 3*r + g = 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/66 and -97\/978.\nAnswer: 10758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i**2 + 5*i + 1. Let c be o(-2). Suppose -c*y = -8*y + 2. Let k = 28.5 + -28.2. What is the closest to 1\/11 in y, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*t - 84*t + 52*t.\nAnswer: -118*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 92025559*q**2 + 133251692*q wrt q?\nAnswer: 184051118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33141 + -35041?\nAnswer: -112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2\/49, -1, 0.1, 1?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -582.98877 to the nearest integer.\nAnswer: -583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7726 is divided by 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2392\/897)\/(20\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74662, 74656, 74648, 74638, 74626, 74612?\nAnswer: 74596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 8 = 4*x. Suppose x*c = -c + 25. Let r be (-1 - 1) + (2 - -3). Solve l - 4 = c*a - 13, 2*a = -r*l + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/14 and 312\/1088 - (-2 - -2).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**33\/(g*g\/g**15) assuming g is positive.\nAnswer: g**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -1002*m**3\/5 + 208488*m**2\/5 + 1271592*m\/5 - 92448\/5 = 0.\nAnswer: -6, 12\/167, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 6) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.309874 centuries to months.\nAnswer: 11171.8488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0126900936 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y + 2092 + 3992. Let k be 1\/(21\/y) + 4\/(-14). Let x = k + -44. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17 and -221327?\nAnswer: -3762559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5*12\/(-75) + (-11)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -21*a + 17. Let l(t) = -11*t + 9. Determine -7*l(c) + 4*r(c).\nAnswer: -7*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 54*c**2*f**3 - c**2 + 71300*c*f**5 - 1791*c*f + 400*c wrt f?\nAnswer: 324*c**2*f + 1426000*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.864 + -1.064. Let x be (-3)\/(15\/4) - -1. Which is the nearest to o?  (a) x  (b) 3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4587*c = -9151*c + 4580*c - 672 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j. Let l(o) = o**3 + 5*o**2 - 6. Let q be l(-5). Is y(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*z - 5*z + 214 = 0, 3*z = -9. Let k = l - -737. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2772 divided by 2\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-13191)\/(-24264) + (-7)\/14. Let y = 2\/1011 - l. Suppose 2*w = 4*k + 4*w - 4, 3*w = 6. Is k at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6461 divide 1391285896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4392833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 115.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2065294852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-45)\/3)\/(-45).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(2\/9)\/h))**(19\/3)*(h\/h**13)\/h*h**(1\/2) assuming h is positive.\nAnswer: h**(-67\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2920 + 0\/(-5) + 3. Suppose -4571 - q = -6*j. Suppose -j = -3*t + 752. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -3. Let i = 27 - 18. Determine c so that -9*c**3 + 0*c**4 + 6 - 3*c**4 + 0 - 6*c**2 + i*c + g*c**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 10*k**2 + 13*k - 12. Give m(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (26 + -23) - ((7 + -6 - -2) + -2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.21 + -0.03. Let z = y - 0.48. What is the smallest value in 3, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 20*s**2 + 45*s + 25. Let k be o(-22). Let p(q) = -2156 + k*q**2 + 2156. Let c(a) = -17*a**2. Calculate p(c(f)).\nAnswer: 867*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)*-3 + sqrt(225) + sqrt(225)*-3 + sqrt(225) + sqrt(225))\/(-2*(sqrt(240)*-3)\/sqrt(5)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + 4*l. Let c(i) = -12*i + 5. Let d(q) = -2*q + 1. Let r(f) = -c(f) + 5*d(f). Calculate r(w(p)).\nAnswer: 4*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + (sqrt(3) - (-2 + sqrt(3) + 0))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1537 is divided by ((-115)\/50 - -2) + 1626\/20?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 86755 and 0.1.\nAnswer: 86755.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*p - 13*p - 91*p - 78*p as b + z*p and give z.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/2*(-18)\/(-342)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from redas?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(((b\/b**(-24))\/b*b)\/b)\/b)\/b**(5\/7) assuming b is positive.\nAnswer: b**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, c: 1, u: 1, o: 1, b: 1}. What is prob of sequence ud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 62 = 3*u - 61, 0 = -30*u - 2*o - 82 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + j = -4*v + 3*j, -12 = 3*v - 2*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m*m**(-6)*m)**(-1\/5))**(-3\/5) assuming m is positive.\nAnswer: m**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271835.\nAnswer: 5, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 - -16. Let g be 2\/6 - 34\/t. Let l(h) = -15*h + 5. Let q(k) = 22*k - 5. Let v(w) = -3*l(w) - 2*q(w). What is v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(832)*-1*-2 - (-4 + (sqrt(832) + 2 + sqrt(832))**2 + 3)) + 3.\nAnswer: -3326 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 76469150 to the power of 1\/2, to the nearest integer?\nAnswer: 8745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/8)\/((-21)\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-7) - (40\/28 - -2). What are the prime factors of (s - (4 + -3)) + (74 - -1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 14, 16, 24, 44, 82?\n\"Answer: m**3 - 3*m**2 + 4*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 44079 (base 12) in base 8?\nAnswer: 257535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -2. Let f(o) = o**2 - 19*o + 85. Let c be f(6). What is the greatest common divisor of c and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - 30. Let j be 1 - (-2)\/(-3)*-3. Is 2\/j + o\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3216 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: Factor 5*w**4 - 5*w**3 - 65*w**2 + 125*w - 60.\nAnswer: 5*(w - 3)*(w - 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4108.67 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -2\/107, 1984, -0.3, -3, -25?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 77140 + -36273. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -245*k + 23 + 243*k - 14 + 10 + 5.\nAnswer: -2*k + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3\/3 - 6*b**2.\nAnswer: -2*b**2*(b + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -484, -2071, -5296, -10627, -18532?\nAnswer: -29479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 13*t**5\/12 + 7*t**2\/2 - 5*t + 31. Let i(y) be the second derivative of v(y). Let a(n) = 2*n**2. Calculate a(i(q)).\nAnswer: 8450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93 by 424295.\nAnswer: 93\/424295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0, 1\/2, -5, -17 in decreasing order.\nAnswer: 1\/2, 0, -0.1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -462 + 464. What is the third derivative of -178*r**5 + 14*r**2 + 46*r**k + 4 - 8 + 2 wrt r?\nAnswer: -10680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -577232, -1154064, -1730900, -2307740?\n\"Answer: -2*s**2 - 576826*s - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 178053630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 349437.8 to the nearest one thousand.\nAnswer: 349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 18 - 34)*(2*u**3 - 2*u**3 + 2*u**3).\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 474\/19 or -26?\nAnswer: 474\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -442 + (-3)\/(-2) + -2. Let o = q - -433. Calculate the common denominator of o and 97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6736 (base 10) in base 15?\nAnswer: -1ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 5:44 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 11:58 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/63*(-6)\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7333458 and 888904?\nAnswer: 29333832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -318*z - 4790. Let x be d(-15). Let i(r) = r**2 + r. Let l(k) = -60*k**2 - 20*k. Give x*i(n) - l(n).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**2 - 4*d + 4\/3*d**3 + 1\/2*d**4 - 199. Factor s(x).\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 6*l + 7. Let v be s(-6). Let b = v + -5. Let q = 14247 + -99731\/7. What is the biggest value in q, 6, b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2498*g - 39968. Determine n(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7 - 45\/6)*2\/(-4). Do 0.5 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20394 and 123835767.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54243?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j**5 + 18*j**4 + 3*j**3 - 3*j**2 - 9*j - 6. Let v(q) = 2*q**5 - 9*q**4 - q**3 + q**2 + 4*q + 3. Let a(r) = 5*c(r) + 9*v(r). Factor a(i).\nAnswer: 3*(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + -27.9. Let w = -28.005 - g. Let z = w + 1.005. Which is the nearest to z?  (a) 0  (b) 0.06  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*s = 129, 163*s - 158*s = 0. Let h = 43 - 24. What is the remainder when c is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3*k. Suppose 5*y = 3 + 7. Let b(l) = 0*l**2 - y*l**2 + 0*l + 0*l. Give u(b(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 - 3*o**2 + o**2 - o**2 - 1 + 1 + (-4*o - 2*o + 4*o)*(4 - 4 + 2*o) + 3*o**2 - 4*o**2 + 3*o**2 + 21*o**2 + 2*o**2 - 3*o**2 + 0*o**2 + 2*o**2 + o**2.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -29037883.9 rounded to the nearest one thousand?\nAnswer: -29038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**2 - 61*g. Let o(q) be the first derivative of -q**2 + 1151. Give o(j(m)).\nAnswer: -6*m**2 + 122*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -99*s + 32. Let j(b) = 100*b - 30. Let n(t) = -4*i(t) - 5*j(t). Let l be n(-2). Let h = l - 138. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -91*b**3 + 2*b + 1. Let x be f(-2). Suppose x = 3*q + 2*q. Suppose 0 = -5*z - 2*j + 136, -2*j = 5*z + 3*j - q. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b - 6. Let w be x(5). Suppose 225 = w*s - 3*s. Suppose 3*q - j = 2*j + s, -5*q + 367 = 3*j. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventy-nine halves of a microsecond?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -17*s - 4255. Determine i(4).\nAnswer: -4323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.07, -5, -1, -15\/22?\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 114c46 - -5?\nAnswer: 114c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**2 + 7*g - 11. Let d(r) = r**2 - 2*r + 3. Calculate -4*d(w) - q(w).\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2276 (base 14) to base 2\nAnswer: -1011101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 173283, 173286, 173289, 173292?\n\"Answer: 3*t + 173280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**2 + 445322*y - 445323 = 0.\nAnswer: -445323, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -3.5  (b) -41\/115  (c) -4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14014.339408 - 114\nAnswer: -14128.339408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 70 - 52 = 0. Suppose -s*x**4 - 2*x**5 + 57*x**4 - 3*x**5 + 2*x**3 + 7*x**5 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/5 + 43948*a\/5 - 3940647.\nAnswer: -(a - 43495)*(a - 453)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 0 + 0 + 3*c - 3*c - 2*c + (-4*c + 4*c - c)*(-2 + 3 + 0) - 3*c + c + c)*(3 - 2 + 0)*(-2 - c + 2).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -67 - -62. Let c(u) = -u**2 - 10*u - 3. Calculate the remainder when 82 is divided by c(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + ((sqrt(153) + -1*sqrt(153) - sqrt(153))*2 - sqrt(153)))\/(sqrt(90)\/(sqrt(20)\/sqrt(2))) - (-6*sqrt(102)\/sqrt(6)*-2 + -5).\nAnswer: -14*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 255*t**2 - 5343*t + 5343*t.\nAnswer: 255*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12231 + -10120223?\nAnswer: -10133120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2412 + 3542155?\nAnswer: 3536443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-0.008.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (10 - 19\/2)*341254 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 + 205*g**2 + 1995*g - 2205.\nAnswer: 5*(g - 1)*(g + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.862 times 2.91?\nAnswer: 11.23842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3\/8)\/((w**(1\/8)*w)\/w*w) assuming w is positive.\nAnswer: w**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.0501  (b) -3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -11*v**2 + 5*v + 1. Let n(j) = -4*j**2 + j. Suppose 50*i - 29*i + 21 = 0. Let f(m) = i*y(m) + 3*n(m). Give f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -136212 + 5?\nAnswer: -136206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38.6 + 2.6. Let p = 36 + w. Is 2\/15 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*b = 2, -2*s - b - 3 = 2*b. Suppose -21*l + 8511 + 2346 = s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 119*y + 1904. Let j be o(-16). Suppose j*c + 0 + 1\/9*c**3 - 2\/9*c**2 = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 224 and 2087195936?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*m - 29*y + 33*y, -39 = 13*y for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 531 - 510. Calculate the remainder when 104 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99015 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 286.29 + -285.8. Let n = 0.004 - 0.394. Let b = n + t. What is the third smallest value in -5\/6, b, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 300 - 265. Solve 0 = v + 2*a + 14, -v + 6*v = -3*a - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 202 - 108. Let g = i - 59. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2601 (base 9) to base 12\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26155421.\nAnswer: 26155421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 51928169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62943 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y - 10. Let z be h(-6). Suppose -b + 12 - z = 0. Find the common denominator of 181\/b + (-6)\/(-15) and 7\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 392, 344, 218, -22, -412, -988?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 212\/1 - 30\/5. Is a less than 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.528 - 0.472. Let w = -1 + 1.2. Suppose 0 = -2*u + 3 + 3. What is the nearest to x in w, u, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u**(-1)*u)\/u)**(-4\/9)\/(u**(-1\/4))**(-32) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53, -42, -27, -8, 15, 42, 73?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 7. Suppose 4*l = 5*x + 13, 0 = -2*l + l - 4*x - 2. Let g(z) = 4 - l + 3*z - 5*z + z. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 4*l**2 + 5*l - 10. Let y = 217 - 222. Determine t(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-20)\/(-15))\/((-4)\/(-6)). Suppose 0 = -t*c + 3*c - 24. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/2)\/((-9)\/336). Suppose -3*j - 5*w = -8*j - 110, 0 = 4*j + 4*w + c. What is the units digit of 366\/4*(-12)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of -l**4\/12 + 3*l**3\/2 - 2*l**2 - 3*l. Let p be c(8). Suppose -p*y + 9*y = 20. Put y, -4, -2 in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**3 + 172*w - 15*w**2 - 172*w + 2 as s*w**2 + r*w**3 + i + k*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 147 (base 12) to base 2\nAnswer: 11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 4*o - 4. Let p be n(4). Let b be 4*(1 - (4 + p)). Let r be (-19)\/(-4) - 81\/108. Solve 0 = -2*j - r - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1.1  (b) 4517579  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 9:27 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 101011110110 (base 2) to base 3\nAnswer: 10211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2769, 5862, 8951, 12036?\n\"Answer: -2*m**2 + 3099*m - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) -0.166  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 + -35. Let k(j) = -2*j**3 - 9*j**2 - 10*j + 8. Is k(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5679 (base 12) to base 10\nAnswer: 9597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2100)\/(-15)*(0 - -1). What is the highest common factor of t and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - w - 3*w - 25, w = 4*k - 25. Suppose -9 = -k*o + 106. What is the remainder when 67 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -126 - -181. Let t = u - 50. Solve t*q + k = 11 - 0, 4*q = 4*k + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 176 and 4224?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 308 + -306. Suppose -a + 0*h + 122 = w*h, -5*a + 610 = h. List the prime factors of a.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 73, -0.01, -28, 0.1, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -33500 + -2?\nAnswer: -33502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khgk when four letters picked without replacement from {g: 8, k: 4, p: 1, h: 7}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.226 minus -220898?\nAnswer: 220897.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2845310, -5690621, -8535932, -11381243?\nAnswer: -14226554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -438 - -483. Calculate the least common multiple of 50 and o.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/(sqrt(27)\/sqrt(3)))\/sqrt(4))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.5  (b) -0.4  (c) 1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*(1*sqrt(76))**2 + sqrt(76) + sqrt(38)\/(3*sqrt(6)\/sqrt(3) + sqrt(2)).\nAnswer: -375 + 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*s + 219 - 192 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4116880 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3278, 7455, 11632, 15809, 19986?\nAnswer: 24163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**2 - 5132*s - 5128 = 0.\nAnswer: -1282, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 53 = -82. Let k be 2\/(-1 - h\/21). Suppose k*i - 4*i = 6. Solve 0 = f + 2*f - 4*t - 1, f - i = 3*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 2*d. Solve s = v + 3*v, -3*v + s - 1 = d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5810, -46185, -155672, -368813, -720150, -1244225, -1975580?\nAnswer: -2948757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12493 take away 0.074438?\nAnswer: -12493.074438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-120)\/(-1980))\/(15\/(-55)))\/(3\/(-1107)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 divided by 12?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 3*y - 9 = 11*g, 0 = -5*y + 15. Let h(c) = 2*c**2 + 5. Determine h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l**2 - 84*l + 19. Calculate i(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -907305*g + 907151*g = 3850 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 14 = -26. Suppose 5032 = 5*k + j*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 7. Suppose -45*l - 8 = -43*l. What is the closest to l in -4, u, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-9) - 200\/(-12). Let k be 4 + -3*i\/12. Solve k = -4*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13964 less than 13987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -20413203?\nAnswer: -20413204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*v = 11*v + 276. What is the remainder when v is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 37*a**2 - 1 - 28*a**2 + 7*a + 4*a**2. Let k be b(-1). Let h(d) = -d**2 + 9*d - 7. Let o be h(6). Solve 14 + o = k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1267218 and 285968862.\nAnswer: 857906586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 130.7 and -33.9.\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 372 - -1524838278.68.\nAnswer: 1524838650.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 3*k = 370. Let n(w) = 3*w + 3*w - 36 + k. Calculate n(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + 124 + -2 + 4. Let z = i + -295. Let g = -54 - z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 123 - 123 + 19*h + (-5 + 3 + 4)*(h + h + h) + 2*h + 0 + 0 + (1 - 1 + h)*(1 + 0 + 1) + 2*h + 0 + 0 to t*h + w and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 8*z**2 + 6*z + 9. Let s be g(7). What is the third derivative of 552*i**3 - 104*i**s + 55*i**4 - 552*i**3 wrt i?\nAnswer: 1320*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + (3\/(-3) - (-2 + -12)). Suppose 0 = -3*y + o - 1. Suppose 4*v - 2*v - 54 = -a, 108 = y*v - 3*a. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 + (-5)\/(5\/2). Solve h*c = 3*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, d: 13}. Give prob of picking 1 d and 2 t.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -457507*a - 140. Let k be r(-20). Round k to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 3*y**2 + 5*y - 4. Let t be z(4). Suppose -6*s + 18 = -t*s. Let l be s\/2*(-4)\/(-6). Which is smaller: l or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1399 is divided by ((-20)\/(-32))\/(-5) - (-633795)\/1240.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1101 + -1078. Solve 2*z = 31 - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 166\/235 - 5\/47. Let m = -2 + 11. Let z be -1 - 1 - m\/(-5). What is the smallest value in o, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46007 - -77926. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/(m*m*m*m**1*m))\/m)\/m)**40\/(m\/((m\/m**6)\/m)*m*m*m**(-2\/19)\/m))**(-1\/68) assuming m is positive.\nAnswer: m**(2355\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o - 12. Suppose -9*w = -7*w - 14. Let y be j(w). List the prime factors of y\/(-12) + (-337)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215*k + k**3 - 215*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2 + 26*l + 17. Let q(s) = -s**2 - 16*s - 41. Let n be q(-14). Let g be f(n). Calculate the highest common divisor of 153 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (1 + 0) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/12 - (-27)\/144*46388?\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 2\/15  (c) -3  (d) 214  (e) 23  (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -13, -998, -1979, -2950, -3905?\n\"Answer: i**3 - 4*i**2 - 980*i + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15979066 to the nearest integer?\nAnswer: 3997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122032.\nAnswer: 2, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.4 in -2, 388, -0.3, 1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20683028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 364 = -3*u + 3*i, -334 = 3*u + 4*i. Let w = -7420 + 7306. Let p = w - u. Solve 4*h + 8 = 0, m - p*m - h = 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11.1?  (a) 2\/7  (b) -3\/7  (c) -0.26  (d) -10\/19  (e) 0  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 9*z**2. Let l(q) = -652*q**2 + 1312*q**2 - 18 - 658*q**2. Calculate l(h(d)).\nAnswer: 162*d**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/3*((-121)\/88*-2 + -2). Solve 0 = -p*d - 4*x - 15, x + 10 = 4*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 556719932 to the nearest integer?\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + i - 2*i)*(3 - 4*i**3 - 3 - 1 - i**3 + 1 + (-2*i**2 + 3*i**2 + i**2)*(-3 - i + 3)).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t*t\/(t\/(t\/(t*t*t*t**(-45))))*t*t))\/t**(-1\/3))\/(((t*t**(5\/2))\/t*t*t)\/(((t**41*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15140972*a**2 + 197*a - 197*a.\nAnswer: 15140972*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 1:28 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l + 8*l + 12*l + 16.\nAnswer: 13*l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5910 + -5909.9999993643. What is w rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4423 is divided by 1472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2375913487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25151364 by 153.\nAnswer: 164388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v - 125 = 3*z, 16*z + 27*z - 42*z - 2*v = 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -165128975?\nAnswer: 165128980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 649 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 1761.\nAnswer: -1\/1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 176.84 - -3.16. Which is smaller: h or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -r + 2 - 4, 4*o = -4*r + 72. Solve -23 = 2*a + 5*w, -2*w = -2*a - 4*w - r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -16*u - 13*u - u. Does 30 divide b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21569*q - 60 = 21549*q. Let r = 0.2 + 0. Let k = 0.7 - r. What is the second smallest value in q, -7, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.633 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -457*g**3 + 2*g - 5*g + 2*g**4 + 182*g**3 + 53*g**2 + 140*g**3 wrt g.\nAnswer: 48*g - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -4, 1599 in increasing order.\nAnswer: -57, -4, 1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 9  (b) -2  (c) -1  (d) 5  (e) -14504  (f) 0.129  (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 1, -4 = -5*g + 2*f - 2. Suppose -2*i + g = -4. Suppose -6 = -i*w + 8. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*z - 31*z - 5*g - 25 = 0, -5*z + 11 = 7*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55\/39 - -2849\/195. Is 14 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -635 (base 10) to base 6\nAnswer: -2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (70\/(-21))\/(4\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8*9\/720*(-12)\/11)\/(6\/75).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.75  (b) 0  (c) -1\/3  (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8342 is divided by 994?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r + 9. Let s(i) = i - 9. Let p(j) = 7*b(j) + 6*s(j). Let n be p(10). Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -851 divided by 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 912182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4264\/33 + -781\/6. Calculate the common denominator of b and 31\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + -27)*(-26)\/52. Let y be (-4)\/p + (-90)\/(-21). Suppose 160 = 2*j + 2*j. What is the greatest common factor of y and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 6 + 54. Let p be 5*1 - 12\/l. Suppose p*t = 3*t + 4. What is the lowest common multiple of 14 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 1.392535863138.\nAnswer: 0.607464136862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/66*129\/430*-5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3. Let f(t) = -t**2 + 5. Let q = -15 - -5. Let p(j) = q*l(j) + 6*f(j). Let b(s) = -2 - 80*s + 82*s + 2. Calculate p(b(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**2 + 0 - 2*n - 1\/6*n**3. Let d(b) = -4*b + 7. Let k(h) = 8*h - 14. Let g(q) = 7*d(q) + 4*k(q). Give 4*g(p) + 14*j(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from pptlhlbf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65688 divided by 6.\nAnswer: -10948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300*r**2 + 1057*r**2 - 3 + 3.\nAnswer: 1357*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = s + 8, -5*s - 10 = 3*a - 8*a. Suppose -126 = 3*t + 3*q, 11*q = 6*q + 20. Let y = 49 + t. What is the remainder when y is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2523530?\nAnswer: 2, 5, 409, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**5)\/(k**(-7)*k))\/((((k*k\/(k**(-4\/9)*k))\/k)\/k)\/k*k*k*k*k\/(k*k**(-12)*k)*k) assuming k is positive.\nAnswer: k**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204 - 678 = 67*s + 12*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 815742443.\nAnswer: 757, 1077599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-3) + (-1)\/(-3). Suppose p = -4*z - 5*u + 83, 0 = 2*z - z + 2*u - 20. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 274 + -78. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -411*c**3 + 2953*c**2 - 1 - 2954*c**2 - 479*c**3 + 298*c**3 to i*c**3 + y*c + t + f*c**2 and give i.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 11, -2\/3, 5, -1\/650, 0.0256, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + 1)**2 + -2*sqrt(243).\nAnswer: 2*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3 + -163)\/(4\/(-10)).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -43342 and 67595662.6.\nAnswer: 67552320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1247, -3, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-396)\/(-330)*4395\/9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, r: 5, l: 1, i: 1, d: 1, h: 5}. What is prob of picking 2 i and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 67.2324 and 0.1.\nAnswer: 6.72324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - -2)*(-4)\/10. Let o be (-11)\/55 - 6\/10. Is p at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3251 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: Suppose -v - 3*j + 6*j = -2, 0 = 2*v + 5*j - 4. Let g(l) be the first derivative of -2 + 1\/2*l**v + 0*l + 1\/6*l**3. Factor g(k).\nAnswer: k*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/36*-16*48420\/(-2152).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 AM and 11:51 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 220219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2 = 0, r + 3*r + 3*i = 7257. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.8?  (a) -2  (b) 0  (c) -4  (d) 0.3  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1229 - 9734 = -63*c. What is the remainder when 390 is divided by c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1755444 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -3*r - 4, 3*r - 2*d = r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - t - 1491 = 0, 254 = n + 2*t - 479. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrorrrrrrrrrrrrr. Give prob of picking 1 o and 2 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(336)\/sqrt(8) - sqrt(42))*4)\/(sqrt(600) - (sqrt(600) + sqrt(600)*3) - sqrt(6)) - ((-5 + sqrt(252)*1)*-5 + -3).\nAnswer: -22 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**5 + 1268*g**4 - 7848*g**3 - 31112*g**2 - 33628*g - 11628 = 0.\nAnswer: -323, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2537 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368*o + 2486 + 2298 = -1840 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2071*m**2 + 6603*m**2 + 3603*m**2 + 523*m**2 - 1800*m**2 as f*m**2 + i*m + w and give f.\nAnswer: 11000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(5 + -2) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 132.5 - 132. Let a be -11*1\/(-6) - 3. Let u = 61\/42 + a. Sort 3, t, u, 2\/13 in descending order.\nAnswer: 3, t, u, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92437?\nAnswer: 23, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 + v + 3. Let f be t(0). Solve -2*z - a = f, z - 35 = 6*z - 3*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + b**2 - b - 1. Let i(o) be the third derivative of 0*o + 3*o**2 + 1\/30*o**6 + 5\/24*o**4 + 0 - 1\/12*o**5 + 1\/2*o**3. Give i(s) + 5*l(s).\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 193\/36708 and -107\/3990.\nAnswer: 183540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + 1)\/(11\/(-132)) - 1. Let x(d) = d**2 + 13*d + 8. Let c be x(j). Differentiate c + 16 - 12*k - 5 + 4*k wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 252514656.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4510098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1361 - -937. Let r = v - -426. Which is smaller: r or 64?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -b**5\/30 + b**4\/8 - b**3\/6 - 21*b**2. Let a(u) = -u**2 + u - 1. Suppose 4 = 2*v + 2. Determine v*z(i) - a(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 + 20*k - 16.\nAnswer: -4*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8581\/321 + 7\/107. Let v = 27 + a. Let t = 0.3 + 0.7. What is the second biggest value in -3\/2, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/4 + 0. Calculate the common denominator of -1\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -417 + 409. Let j be 125\/500 + (2\/o - 0). Solve -6*v + 9*v - 3 = j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003304816 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8729 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -120*v - 198. Let a be l(5). Let j = -786 - a. Solve j*m - 8 = 8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -0.061?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2*f + 3 + 0 + 1.\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 54, 204, 454, 804, 1254?\n\"Answer: 50*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13434.9 hours to milliseconds.\nAnswer: 48365640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54*j - 957 + 957 + (-2*j + 5*j + 2*j)*(-11 + 11 + 37) to m + q*j and give q.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 2\/(-4)*-26. Find the second derivative of q*b + 39 - 39 - 3*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.758287 minus 0.2?\nAnswer: 62.558287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -199\/287070 and 109\/41010?\nAnswer: 287070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 281941 - 130329 + 296979 + 620701.\nAnswer: -2*v + 1069292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 3123063*h + 1561505*h + 1561559*h.\nAnswer: h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -7 + (-7 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 2*x**2 + 3*x + 4. What is l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*g + 26. Suppose -3*y + 1 = 25. Let v = g - y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 + 6*c + 1. Let j(k) = -k - 1. Let z be j(-6). Suppose 2*w - 7 = z. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418 - 576 = -46*t + 570 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -313 + 475. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1392863361 * -4.\nAnswer: 5571453444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2 + 2514*v + 1580049 = 0. Calculate v.\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/6, 0.4, 0, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -88*q - 420. Let l(b) = -17*b - 82. Determine -3*i(t) + 16*l(t).\nAnswer: -8*t - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 104, 154, 202?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -310, -605, -878, -1117, -1310, -1445?\n\"Answer: 2*b**3 - b**2 - 306*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -30*y**2 + 2*y - 1. Let x be m(2). Let w be (-4)\/18 + x\/(-648). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, w: 5}. What is prob of sequence qq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2*1\/(-8))\/(8\/706). Let o = h + 22. Put 0, -0.3, o in descending order.\nAnswer: 0, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l - 1 + 1)*(32*l**2 - 31*l**2 - 2 - 5 + (0*l + 2*l - 3*l)*(3*l - 2*l - 2*l)) to the form v*l**3 + w + k*l + y*l**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 305913 - -49544. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140071643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*c*o**2 - 454*c - 89262*o**2 with respect to c.\nAnswer: 38*o**2 - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4114)*-3)\/sqrt(2)*5 - (1*sqrt(51)*-1)\/((sqrt(6) + sqrt(30)\/sqrt(5))\/sqrt(2)))**2.\nAnswer: 1840097\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12098 - 11949. Solve -22*x + c = 39 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52557105.719999515 - -52557106. Let d = f + -0.28. What is d rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8947 is divided by 8945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16198*i**2*n**3 + 100*i**2*n**2 + 4*i*n - 5*n**2 wrt n?\nAnswer: 97188*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(68)\/sqrt(36) + -4 + 2)**2 + (sqrt(119)\/sqrt(7)*-2 - sqrt(17) - (sqrt(833)*1)**2).\nAnswer: -7189\/9 - 25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11\/(-44) - 20022\/8. Let c = k + 22576\/9. Find the common denominator of (-4)\/(-26) + 92\/(-416)*-66 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1395 - -5537. List the prime factors of c.\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1013 divide 10848217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 630\/(-189) + -2 + 10\/3. Suppose 4*h = 3*h - 3. Is x at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29301106.\nAnswer: 2, 61, 240173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 3*a + 12 = 0, 4*i - i + 3*a = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 30 = 5*h - 30, 4*n = -3*h + 22. Suppose 2*y = t - 4, 3*y + 3 = -5*t + h. Suppose -u = -t*u + 187. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 22 = -n - 5*t, -13 = -5*n - t. Suppose d = -4*y + 23, d - 3*y + 2*y = n. Suppose 265 = d*j - 2*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14546)\/(-24) + (-105)\/1260. Sort 0, f, 1.\nAnswer: 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2267424 (base 8) to base 10.\nAnswer: 618260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1139, 1396, 1951, 2954, 4555, 6904, 10151, 14446?\n\"Answer: 25*g**3 - g**2 + 85*g + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (2\/7 + (-253)\/77). Find the second derivative of -9*i**4 + i**x - 12*i - 28*i**4 + 19*i wrt i.\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187) + (2*sqrt(187) + sqrt(187))*1 - sqrt(187))\/((sqrt(77) + 2*sqrt(77))\/sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16024*d = 16146*d + 3*y - 372, 4 = 4*d - 4*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuitzzl. What is prob of picking 1 l and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -20\/27, -4\/3, 3, -11\/2, -1, 6.9?\nAnswer: -20\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 = 22*c - 125. Solve -14*v + 2 = -c*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/18)\/((-6)\/(-27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-173700.\nAnswer: 521100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8, -27, -50, -77, -108, -143, -182?\n\"Answer: -2*d**2 - 13*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1*195.28\nAnswer: -195.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 6:41 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41\/2 - 20. Let l = -0.72281 - 1.27719. What is the fourth smallest value in i, -5, 0.21, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - -0.1. Let d = 0.01000015 - y. Round d to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 1:13 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -6*x**2 + 12*x. Let n(s) = -s**2 + s + 1. Let z(l) = c(l) - 5*n(l). Let u be z(6). Does 11 divide (-208)\/(-12) - u\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-9))\/((-2990)\/148005)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 - 268*d + 5830. Let o be g(19). What is the greatest common factor of 49664 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i + 1. Let b be a(-1). Let y(c) be the first derivative of -c**2\/2 - 6*c - 2490. What is y(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-6)*(7 - 2)\/5. Solve u*h - h = p - 5, -4*p = -h + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -227.4 times 0.1?\nAnswer: -22.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.26 + -0.42. Let v = 0.159974 + w. What is v rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 10*i - 2. Let u(j) = -j. What is q(f) + 12*u(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of (-20)\/(240\/(-389748)) - 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-64)\/6*(-9)\/6. Solve r + 3*r = -w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 92 - (8 - -26) - (8 - 7)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 535 and 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 331792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 616667 is divided by 9324?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (21\/42)\/(5*-1). Which is the fourth biggest value?  (a) 0.5  (b) 3  (c) n  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7145 + -7027. Solve 18*d = l + 26 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5088, -5085, -5082, -5079?\nAnswer: -5076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of -q**5\/270 + q**4\/108 + 7*q**2. Factor x(y).\nAnswer: -2*y*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -47*a**8\/56 - a**6\/5 + 5*a**4\/12 - 5*a**2 + 392*a - 1. Find the third derivative of m(o) wrt o.\nAnswer: -5640*o**3 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521395807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + -42\/5. Let n(l) be the second derivative of -l**4\/12 + 8*l**3\/3 - 6*l**2 - l. Let h be n(15). What is the closest to 0 in -0.3, h, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 592 divided by -148.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 59*f - 4. Let t be w(3). Let k = t - 164. Solve -4*c + 7*c = -k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*z = -2*z + 10, -z - 7 = -2*l. Let c be (11 - -1)\/2 - (-98 - -91). Suppose -l*y + c = -3. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6590)\/4*8\/5. Let z = 23779\/9 + g. Find the common denominator of z and -56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152304 (base 7) to base 9\nAnswer: -44603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 3. Let p = -3 + y. Let s = -1 - p. What is the third smallest value in -2, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 x, 1 g, and 1 h when four letters picked without replacement from asxhg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 392690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4.58, -0.5, -2\/3, 3\/2, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (10 + -1 - 3) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 12. What is the second derivative of -l*p**2 + 8*p**2 - p - 4*p**2 + 7*p**5 wrt p?\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4\/7  (b) 0.02  (c) 1\/9  (d) -2\/9  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 92 - 44 = 0. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2. Let l(t) = -208*t**2 - 2*t - 2. Let f(y) = 69662*y**2 + 671*y + 671. Let p(m) = -6*f(m) - 2013*l(m). What is g(p(o))?\nAnswer: -1071648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-174)\/14 + 3\/7. Let s = 14 + w. Let o(q) be the second derivative of q**4\/4 - q**3\/2 - 51*q. Give o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 98 + 26b4?\nAnswer: 276c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21715277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 432 = -11*c. Suppose -9*k + c = -5*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*-2*sqrt(196))\/(sqrt(128) + sqrt(128) + sqrt(128) + (-6*(1*sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(128))*-5)**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 33\/7, 2\/7, 149, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 409 - 260. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 933785372 divided by 3123028.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1848)\/40)\/(5\/(-75)). Let i = 696 - b. Solve -f - 8 = -i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of 0*t**4 + 0*t**3 - 6*t**2 + 1\/20*t**5 + 0*t + 0. Let a(d) be the third derivative of -d**4\/8 - 3*d**2. Calculate a(c(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4039, -16192, -36441, -64780, -101203, -145704, -198277?\n\"Answer: v**3 - 4054*v**2 + 2*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 706, 672, 616, 538, 438, 316, 172?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5388334 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 10 = -0. Let a(x) = 3*x**3 - 2*x**2 - 3*x + 3. Suppose 2*u + u = 5*y - 19, 0 = -u + 2*y - 8. Let i be a(u). Solve 5*p + r = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u - 30. Let t be w(16). Let z(q) = -q**3 + 22*q**2 - 74*q + 40. Let f be z(t). Solve -2*b - v = 0, b - f*v = v - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, 6, 14\/9, 0.012, 11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24220271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -5*l + 5*k, 3*l + 2*k - 45 = 67 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/4)*m)**27*m**(-2\/5)\/m**(-3))**(-5\/6) assuming m is positive.\nAnswer: m**(-727\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -305 + 305. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 325*j = -6059 - 10841 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i + 13. Suppose 21 = -2*y - 5*p - 7, -5*y + 3*p - 39 = 0. Calculate the remainder when 9 is divided by r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 2 b, and 1 k when four letters picked without replacement from bkwbw.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18619772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1399392 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - c - 9 = -4*c, 3 = -5*k + c. Suppose -m - 3*m + 24 = k. Suppose 4*y - 76 = 2*s, y - 5*s - 1 = -0*y. What is the remainder when y is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1124109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -123 - 3550?\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -292 + 635. Suppose 1097 = 3*r - z. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -353 - -616. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16107869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x + 6*x + 2 - 5. Let l be i(7). Let u = -2 + 2. Solve 4*p - 3*q + 2 = 0, l*p + q - 5*q = u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -49 and -84?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-4650)\/240)\/155)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1020668325?\nAnswer: 3, 5, 13608911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 381*a**2 + 780*a + 127. Is h(38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**5\/13 + 152868*r**4\/13 - 2920772428*r**3\/13 - 11684771312*r**2\/13 - 14606613858*r\/13 - 5842767844\/13 = 0. Calculate r.\nAnswer: -2, -1, 38219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 6*j - 4. Let h(f) = -8*f + 1. Calculate the lowest common multiple of h(-1) and c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -25*a**7\/42 - 3*a**5\/2 - 264*a**3 - 8*a + 45. Find the second derivative of w(m) wrt m.\nAnswer: -500*m**3 - 180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 4:19 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 2*t + 76. Suppose t = v - 2*z, v + 0*z + z - 70 = 0. Suppose -5*h + v = -h. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*f*u**2*w - 103*f*w - 2763*u**3*w**3 - 183*w**3 wrt u.\nAnswer: 10*f*u*w - 8289*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3 + ((sqrt(7) - sqrt(7)*-3) + sqrt(7))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 837291?\nAnswer: 837291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 + -12.7. What is k rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147830.7 kilograms in micrograms?\nAnswer: 147830700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 - -6. Are -8 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12053?\nAnswer: 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*i**4 + 1 - 84*i**3 + 83*i**3 + 2*i**2 - 2*i**4 as p*i**4 + q + a*i**3 + u*i + g*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -50 - 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = k + 61, 7*k + 21*k = 3*o - 1434 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 433*i**2 - 3981. Let o(y) = y - 21. Determine o(w(m)).\nAnswer: 433*m**2 - 4002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 569 divide 4595890953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxccxxxzxcxccczxcxxx. Give prob of sequence xc.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -28*r**4 + 7*r**3 - 24*r**2 - 7. Let n(z) = 9*z**4 - 2*z**3 + 8*z**2 + 2. Let h(i) = -2*a(i) - 7*n(i). Find the third derivative of h(g) wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(2736)).\nAnswer: -60*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 14 = -2*k, -2*k + 2*u = 6*u - 24. Solve 20 = -4*h + k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 10359 - 11043. Calculate the lowest common multiple of l and 9.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + i - 3 = -3*m, -5*m + 6 = -4*i. Let s be (4\/(-12))\/(6\/m). What is the second biggest value in s, 3\/8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5933.565 centuries to decades.\nAnswer: 59335.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1458  (b) -2\/11  (c) 0.4  (d) -4  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2181*s**3 - 1896*s**3 - 2043*s**3)*(2 - 2 + 2*s) to the form a*s**3 + h*s**2 + j*s**4 + o + y*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a + 39 + 19 - 4*a + 33.\nAnswer: 2*a + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 + 4*w**2 - 2*w**2)*(-4*w**3 + w**3 + w**3 + (-3*w**2 + 1 - 1)*(0*w + w + 2*w) + 11*w**3 + w**3 + 3*w**3).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {u: 5, l: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8301, 16613, 24927, 33243, 41561, 49881?\nAnswer: 58203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 507048?\nAnswer: 2, 3, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2736 - 990*r**5 - 2736 + (-1 + 2 + 0)*(4*r**5 - 8*r**5 - 2*r**5).\nAnswer: -996*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 13. Suppose 0 = 2*v - m*v. Let n be 10\/115 + (-1017)\/(-207). Solve -3*u - n = 4*h + 12, -4*h + 2*u - 22 = v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 2*a + 1. Let h(t) = -88*t**2 - 31*t - 37. Let x(y) = h(y) + 2*v(y). Let d(n) = -10*n**2 - 4*n - 4. Calculate -35*d(f) + 4*x(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w + 12. Let v be x(12). Suppose -3*c + v*c = 6, -5*c = 4*b - 90. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 23. Determine y(16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15355?\nAnswer: 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -467*i**4\/24 - 22*i**3 - 681*i**2. Find the first derivative of j(v) wrt v.\nAnswer: -467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 8, h: 8, t: 4}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/6*-1 - 1\/(-2). Suppose 0 = 3*l + 3*p - 24, z*l + 0*l + p - 12 = 0. Let k(x) = x**2 - 5*x + 6. What is k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/9)\/((-64)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqq when three letters picked without replacement from {z: 2, q: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -36669106*0.2\nAnswer: -7333821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 1.02, 4\/9, -1\/3, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*g = 74*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 86  (b) 22.843  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2859 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tktk when four letters picked without replacement from ttktttktttttttkt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -130*h + 19. Let k be u(1). Let w(c) = -c**2 - c - 58. Let d be w(0). Let l = d - k. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 12158543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 25. Let h(r) = -r**2 + 9*r - 1. Let d be h(y). Let s be 3\/1 + -3 - d. Calculate the greatest common factor of 11 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (2 - 13 - (2 + (-20 - -16))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -i**5\/10 - 50*i**4 + 201*i**3 - 302*i**2 + 540*i + 2. Let z(t) = 0. Calculate t.\nAnswer: -302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3 - 21. Let u be (-5)\/(-20) + (-261)\/4. Let w(d) = 5*d**3 + d**2 - 6. Let s(y) = 55*y**3 + 10*y**2 - 65. Let r(g) = n*s(g) + u*w(g). Factor r(x).\nAnswer: 5*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 3\/7  (c) 6  (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**5\/60 - z**4\/3 - z**3\/3 - z**2. What is the units digit of b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/2  (b) 5  (c) -29  (d) 3\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r. Let a(k) = -5*k - 1. Let y(x) = -a(x) + 6*h(x). What is the derivative of y(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26729 + 31230. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 253725 and 18.\nAnswer: 1522350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*y + 24 = -268*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 79*g + 1111. Let h be d(-14). What is the nearest to -1 in 2, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/2 - 9\/(-6). Let q(a) = -2*a**2 + 9*a + 2. Let y(d) = 1. Let c(o) = f*q(o) - 5*y(o). Is c(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(20)\/(sqrt(28)\/(sqrt(252) + sqrt(7))) + -2 + sqrt(320) + 1)**2.\nAnswer: -30*sqrt(5) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 504 - 499. Factor 138*l**3 + 3*l**s - 46*l**4 - 26*l**4 + 30*l**4 - 30 - 12*l - 192*l**2 + 135*l.\nAnswer: 3*(l - 10)*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 11*z - 2*z - 20 + 2*z**2 + 1 - z**2. Let l be b(4). Let o = 7 + l. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3263 or 3334?\nAnswer: 3263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13746 and 2262?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 101933761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -5.2. Let k = q + 0.6. Let l = 0.9 + 0.1. What is the closest to l in k, -0.3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*t = 0, 3*t = -3*p + 17 + 4. Let r be p - 5 - -3 - 0. Let o be -9 + 11 + 1 + r. Solve -2*h + 3 = -o*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -36aa2 - 2?\nAnswer: -36aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-63) - (-2)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1657 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 130 - 30. Calculate the highest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8833 and 0.2?\nAnswer: 1766.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {i: 1, n: 4, b: 4, s: 1, t: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, d: 2, g: 1, x: 1, r: 2}. Give prob of sequence krr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 305953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 13880172?\nAnswer: 69400860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - u - 1. Suppose 0 = 6*p - 654 + 144. Let r = 92 + -1. Let b = p - r. Let t(w) = -8*w**2 - 6*w - 6. Calculate b*a(k) + t(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*d + 19*d - 41*d - 92*d**4 + 1 + 12*d to the form a*d + v*d**3 + w*d**2 + u + h*d**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124277, -124278, -124279, -124280, -124281?\nAnswer: -124282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-356)\/4005)\/(1\/10*1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -21. Let n be 2\/u - 178\/(-14). Suppose 0*c - 5*k + 26 = c, 0 = -3*c - 2*k + n. Which is smaller: 3\/10 or c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 40.\nAnswer: -7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -221, 1, -3, -4, 5, 0 in ascending order.\nAnswer: -221, -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/10*55\/22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 82 - 39. What is the remainder when t is divided by 1\/1 + 20 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - g + 715 = 4*n, 2*n - 308 = 4*g. Suppose n = -4*f + f. Let j = f - -55. What is the remainder when 24 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrppprrrppp. What is prob of sequence rp?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-72) - 2\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3 + 0 + 101*u + 65*u + 88*u. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6371 + -4239. Suppose -4*a - t = 9*a. Let w = a + 392. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001762 rounded to five dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9860816?\nAnswer: 2, 7, 17, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 250906796*q - 216888122 with respect to q.\nAnswer: 250906796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p + 4. Let n be s(5). Let t be 1 - -156 - (2 - n). Suppose 0*k + t = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 20 = 3*v. What is the units digit of ((-2)\/v)\/(2\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 5*v**2 + 7*v - 8. Let m be t(6). Let k be ((-6)\/(-4))\/(15\/70). Suppose -c - k = -3. Sort c, m, 5.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7 or 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((16 - 2) + -2 + (2 - -5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10020 is divided by 3336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.6, 0.01, 155, -0.4, 3, 1\/37?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11, 5 in ascending order.\nAnswer: -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*4\/(-224))\/(-89*128\/(-1184768)).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**2 + 405*i + 5292 = 0. What is i?\nAnswer: -12, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -12 - 18. Solve -b*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -214*z - 672004 + 3240432. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.284 - 0.016. What is the closest to 53 in f, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 3 - 3 + 0*t - 2*t**2 + 0*t + (1 - 1 - 2*t)*(t - 3 + 3))*(-8*t + 4*t - 2*t + (2 + 3 - 2)*(-t + 3*t - 3*t)).\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -931108 times 547?\nAnswer: -509316076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1908*s**2 + 832 - 340 - 492.\nAnswer: -1908*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3028.692 days in microseconds?\nAnswer: 261678988800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 260354190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2426934?\nAnswer: 2, 3, 404489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/88 and 23\/2672.\nAnswer: 29392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 - 0.2. Let o = -46516 - -46519. Let y = -2.2 - -3. What is the biggest value in c, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 9 + -17 - -4 - (-6 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 294861 and 12350?\nAnswer: 191659650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m**2 + 2*m**2 + 21*m**2 + (-2 + 1 + 7)*(-35 + 24*m**2 + 35) as z + f*m**2 + b*m and give f.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*m - 70 = 301*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 70*c**3\/3 - 9*c**2\/2 + 13*c - 19. Is h(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**4\/24 + u**3 - u**2. Let f(q) be the first derivative of -q**2\/2 - 5*q - 12. Give -5*f(z) - 4*r(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {f: 17, v: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 773*d**4 - 21782*d**2 - 894666*d + 17?\nAnswer: 9276*d**2 - 43564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**5\/4 - 39*a**4\/2 + 73*a**3\/4 + 78*a**2 - 77*a = 0.\nAnswer: -2, 0, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 11*c + 21. Let d be j(-9). Let v = 97 - 95. What is the closest to v in d, 4, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 - -357984243.\nAnswer: 357984298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v + 2. Let i(n) = 2*n - 2 - 5 - 1 - 5*n. Let k(m) = 2*i(m) + 9*q(m). What is the derivative of k(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-65)\/(-25) + (-2)\/(-5). Let s be f\/(6\/(-388)) + 0. List the prime factors of 2\/(-6) - s\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -576\/7 + 128\/7*u**2 + 4\/7*u**4 - 48\/7*u**3 + 192\/7*u = 0. What is u?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 487107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 13 = 3*o. Let s = -257 + 278. Calculate the highest common factor of s and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31787*f**5 + f**4*g**2 - 2*f**2 + 86*f*g**2 - 4*f*g wrt f.\nAnswer: -1907220*f**2 + 24*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*v**5 + 8*v**5 + 0*v**5 + (-3*v + 3*v + 2*v**2)*(-v**3 + 3*v**3 + 0*v**3) + 0*v**5 + 2*v**5 - 4*v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-6))\/((-10)\/(-135)*9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 4498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 2\/19  (c) -114  (d) 0.1  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 5*j - 39322 = -39349, -4*k + j = 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1*sqrt(600) + sqrt(600))*-1)\/(sqrt(8) + 3*sqrt(8)*4 - sqrt(96)\/(sqrt(12) + sqrt(768))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 5. Suppose -f = -4*d + 29, 5*f - 33 + 10 = -4*d. Let y(h) = 4*h + 14. What is d*z(c) - 2*y(c)?\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 594536232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(13) - sqrt(26)\/sqrt(32)))**2 + (-2*sqrt(65))\/sqrt(5).\nAnswer: -2*sqrt(13) + 637\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77658508 divided by 19.\nAnswer: 77658508\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -12001133?\nAnswer: 12001128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14392732 - 14392731.23163714. Let z = -57.76844186 + f. Let n = -57 - z. What is n rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -7, 4 in decreasing order.\nAnswer: 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1853219713?\nAnswer: 6469, 286477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -205 + 201. What is the nearest to 1\/3 in k, 2\/3, 7, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**3 - 3*t**2 + t - 2. Let z = -10 - -14. Suppose -z*o + 4 = -4. Determine x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15*30\/(-375))\/(54\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 7*p - 10. Let l be ((-12)\/9)\/(2\/(-3)). Let s(t) = 20*t**2 - 23*t**2 + 13*t - 8 + 29. Let q(u) = l*s(u) + 5*d(u). Give q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 26  (c) -677  (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 510 (base 6) to base 13.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 679543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 469831 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59, -66, -73?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**7\/840 - 3*u**4\/2 - 14*u. Let n(z) be the third derivative of p(z). Let q(i) = -5*i. Calculate q(n(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 43*h + 34. Suppose 9*w + 27 = -18. Let c(x) = 43*x + 34. Let b(d) = w*n(d) + 6*c(d). Differentiate b(t) with respect to t.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18*s - 7*s + s + (s + 2 - 2)*(3 - 4 - 1) + s + s - s + (7 + 1 + 12)*(5*s - 4*s + 2*s))*(-s - 2*s + s) to the form m*s**2 + w + v*s and give m.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (9 + 19 + -12 + -10)) + 21.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61 - 119 + 58 + 35*p**2 + 30*p**2.\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2*((-26)\/117 + 50\/(-18))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2903 + 2894. Let r(j) = 3*j**3 - 2*j**3 - 8*j + 7 + 8*j**2 + 3. Calculate r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1.4  (b) -1\/2  (c) -8  (d) -305  (e) -3  (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from {u: 2, k: 10, y: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -479610*r**3 + 847968*r**2 - 1874048*r\/5 = 0.\nAnswer: 0, 968\/1095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 - 2)*(0*p**2 + 0*p**2 - p**4) - 2*p**2 + 31 - 31 - 2*p**3 - p**4.\nAnswer: -2*p**4 - 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1713837 (base 9) in base 15?\nAnswer: 13cae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -i + 5. Let p = -13 - -133. Suppose 8*b - p = -2*b. Calculate the smallest common multiple of i and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*b + 667882 = -76954. List the prime factors of b.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 5*l - 4. Suppose -20*h = -24*h + 156. Calculate the remainder when h is divided by w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4\/9  (b) 2\/5  (c) -2\/3  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -304a (base 12) to base 16.\nAnswer: -147a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -10189.193 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 less than 2392669.0717?\nAnswer: 2392669.0017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 33228325 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -0.171\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3648027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14616967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (6 - ((23 - 15) + (-5 - (5 + -12))))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.17416143332 + 6.\nAnswer: 4.82583856668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j - 2. Let x(l) be the second derivative of 0 + 2*l + 0*l**2 + 1\/6*l**3. Give a(h) - 5*x(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/10 + (-32)\/(-5). Solve -4*x - 4*g - 6 = q, -3*g - 17 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -3*n**2 - 5*n + 14. Let v(j) = 2*j**2 + 3*j - 9. Let u(f) = -5*a(f) - 8*v(f). Let k be u(-2). Let x(g) = -g**2 - 2*g + 3. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4 + (1*sqrt(228))\/sqrt(12) + (sqrt(1539)*2)**2 - ((sqrt(190)\/(sqrt(70)\/(sqrt(7)*1)))**2*-4 + -1)).\nAnswer: sqrt(19) + 6225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81 and 126?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 10527080 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2221 (base 3) to base 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4 + 110*d**3 - 1338*d**2 - 4814*d - 3364.\nAnswer: -2*(d - 29)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 5:24 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -c + 17 + 28, 2*a + 70 = 2*c. Let i(p) = -17*p - 54. Let b be i(-6). Calculate the highest common divisor of c and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(7\/5))**5)**(-42))**5)**(-8\/9) assuming k is positive.\nAnswer: k**(3920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 9*t + 18 = 0. Suppose 0 = 5*x + t - 13. Let u(j) = -1 + 0*j**2 - 1 + j - 2 + x*j**2. Let s(i) = -2*i**2 - 2*i + 5. Give -3*s(r) - 4*u(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 58 and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 2385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((22\/12)\/11)\/((-322)\/(-184))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10157.\nAnswer: 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 3.5021?\nAnswer: 0.70042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-1) - (-34)\/(7956\/1898))\/(56\/18)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 955401133.\nAnswer: 43, 22218631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1344 (base 15) to base 7\nAnswer: -14665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3008, -11932, -26800, -47612, -74368, -107068, -145712?\nAnswer: -190300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 494 (base 11) in base 8?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.47, -1, 0.2, 0 in increasing order.\nAnswer: -2.47, -1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 9:50 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d + 5. Let s(i) = -i**3 + 11*i**2 + 22*i + 48. Let p be s(13). Give t(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 90*i**2 + 123 + 778*i**3 + 90*i**2 - 184*i**2 wrt i.\nAnswer: 4668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9013 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1) + -4 + (-1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (18\/4)\/(285\/190). Solve 3*c + 2*r + 7 = -5, -3*c + u*r + 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 + 1915*k + 24623. What is v(-13)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1476*b = -8368 + 55921 + 64623 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.07 - -1.1. Let n = a - 0.2. Let t = -0.15 + n. Round t to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f + 8. Let b be -1 - (5 + -3 - -7). Let l be (-5)\/b - (-1)\/(-2). What is u(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 268313411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*a + 72*a = -204 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4\/9)\/q**(-1\/4))\/(q\/q**(2\/15)*(q\/q**0)\/q))\/((q**(2\/5)\/q*q)**(-23\/2)*(q**(-1)\/q)**44) assuming q is positive.\nAnswer: q**(16477\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/5 - (-6 + (-226)\/(-40))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105937469 divided by 52679?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 992*p - 188314. Calculate a(190).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 162381 + -162388. Let n be ((-10)\/(-8))\/(6\/(-8)). What is the second biggest value in -5, n, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -2) + (75 - 41 - (25 + -6) - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -1000?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 116 - 472 + 117 + 117 + 123 - 43*j. Let v(a) = a - 2. Let u(k) = -3*k + 5. Let t(i) = 2*u(i) + 5*v(i). Calculate t(p(g)).\nAnswer: 43*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20.89 - -20.39. Let s = -536 + 3746\/7. Put s, 1\/4, z in descending order.\nAnswer: 1\/4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 3. Let z be k(-3). Which is the second smallest value?  (a) z  (b) -1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1991076?\nAnswer: 2, 3, 277, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1459 - -1484. Solve -2*w + 7 = -g, -10*w + 15*w - 5*g = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13374 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 517288.\nAnswer: 3\/258644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c\/(c\/(c*c**11))*c)\/c*c*c**(-8)*c)**(-20))**2 assuming c is positive.\nAnswer: c**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 8 + 36. Solve 5*n = j - 22, n = -0*j - 2*j - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15*1*18*38\/(-16416)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -25.8 and -570.\nAnswer: -595.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*p - 72*p + 1, o - 6*p = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -780 by 4.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 5*o + 2. Let h be s(5). Is 17 a factor of (2\/(-2))\/(h\/(-92))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0, 0.376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/2)*g)\/g**11*g**(-10)*g**(-1\/5) assuming g is positive.\nAnswer: g**(-207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 - 30.4. What is the smallest value in 0.2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 4413?\nAnswer: 4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = -4*u. Let z(j) = -8*j**2 + 0*j**2 - j**u + 0*j**2. Let l(t) be the first derivative of t**2\/2 + 1. Give l(z(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -142704615600 to the nearest one million.\nAnswer: -142705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 2080 = 5*q - 2695, -15 = -3*b. Let r be (q\/(-35))\/(0 - -2). Let z = r + 2194\/161. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 8*s + 3. Let j be w(-8). Let h = 2319 - 2316. Solve 2*k + h*a + 11 = 3*k, 9 = -j*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 165 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 6*q - 15. Let u be i(8). Sort -2\/9, 0.047, u, 0.2 in descending order.\nAnswer: u, 0.2, 0.047, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 - -89. Let d be (-2)\/(-4)*(3 + a). What is the greatest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 347, 680, 1013?\n\"Answer: 333*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 286 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 177606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*y**3 + 19 - 19.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -202.19185 and 50706.7.\nAnswer: 50504.50815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -2*p. Let v be -2 - (-1 + p) - -2. Let i(z) = -5*z - 2 + v + 0. Give i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*(6\/2 - 2). Let m be (-2 + s)*(4 + 1). Let u(g) = 4*g**3 - 2*g - 2. Let p(h) = -56*h - 3 + 10*h**3 + 52*h - 3*h**3. What is m*u(v) + 3*p(v)?\nAnswer: v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59665 is divided by 6628?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(4\/5) - 1. Let f = -4 - x. Let n = 23 - f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**2*l**2 + 39*f**2*n**3 + 2*f**2*n - 2*f*n**3 + 156*l**2*n**3 wrt f?\nAnswer: 4*l**2 + 78*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*s**2 + 8848 - 4468 - 4380.\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - o - 6. Let u be -5*(-3 - (-8)\/4). Suppose -u*m = 2*t - 4*m - 9, 4 = t + m. Calculate p(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2135  (b) -0.2  (c) 1  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 2*v + v)*(2 + 0 + 1)*((1 - 3 + 0)*(-5 + 6 - 2) - 3 + 2 - 10 - 1 + 1 - 1 + (-2 + 2 + 1)*(5 + 1 - 4) - 1 + 4 - 2 + 5 - 3 - 4).\nAnswer: -81*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7472801 and 6304.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rlmm when four letters picked without replacement from {l: 4, r: 1, m: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = m + 6, -2*y + 2 = -3*m - 5. Let i be ((-18)\/(-27))\/(y\/(-3)). Suppose -2*k + 17 = 5*x - i, -3*k + 4*x + 86 = 0. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32801089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2941558029 a multiple of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3800112 is divided by 25850?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, z: 6, l: 6, y: 3, p: 1}. What is prob of sequence zys?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 + 2)\/((-2)\/(-4)). Let j be d - -4*10\/18. Suppose 26 - 21 = 5*n. Is n equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 913*i - 690. Give m(0).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194500 is divided by 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -149.3 + 148.8. Which is the second smallest value?  (a) -10  (b) t  (c) 6  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (0 - -1) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -1\/7  (b) -1\/5  (c) 4  (d) 1\/5  (e) -306  (f) 10  (g) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -4. Let s be g\/4*(-6)\/4. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28993049999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -420 divided by 21\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 198229329 to the power of 1\/2, to the nearest integer?\nAnswer: 14079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 159*q**3 + 164*q**3 - 2 - 7552195*q + 7552194*q to w*q**2 + x*q**3 + s*q + h and give x.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*c + 160 + 116 = 67 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -387 < -389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*i**6 + i**3 + 499*i**2 wrt i?\nAnswer: 3600*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 11:39 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x**2 - x**2 - x**2)*(1 - 1 - 3) + 1605*x**2 + 68*x + 245 - 244 - 1602*x**2 in the form y*x**2 + g + h*x and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -60\/161 and 6\/5?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 522*r**2 - 63*r + 157. List the prime factors of k(5).\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*b - 207 = 63*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1460988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 11, t: 3}. Give prob of sequence tu.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.4, 1\/5, -1255.4, -1\/5 in descending order.\nAnswer: 2.4, 1\/5, -1\/5, -1255.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88873*z = 89118*z + 4410 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -2*l - 478, 0 - 2 = 2*l. Let j = y - -156. Calculate the remainder when 220 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 8:38 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 219*s - 227*s + 0 - 1.\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 2*i**2 + i - 4*i + 0*i**2 - 3*i**4 as h*i**4 + v*i**3 + w*i + o*i**2 + j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -470 + 1182. Let g = 2140\/3 - l. Find h such that g - 4\/3*h**2 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 124 - 37. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1952)\/(-366) - (0 + 0 - -1). Let o = f + -241\/57. Let z = 2.6 - 3. Which is the nearest to 1\/3?  (a) 1\/4  (b) z  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 10:10 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(-2*sqrt(160) - sqrt(160)) + 4*(sqrt(160) + (sqrt(160) - (sqrt(160)*1 - sqrt(160)))))\/((sqrt(2420)*-1)\/(sqrt(576)*-1)))**2.\nAnswer: 1331712\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.3 * 38.55889.\nAnswer: 88.685447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 94240 = 100*c - 104*c, 3*h = -5*c + 141365. List the prime factors of h.\nAnswer: 2, 3, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.124, 16, 0, -257 in descending order.\nAnswer: 16, 0, -0.124, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/11, -0.49, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j - j - 170. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w + 5*w + 21*b = 11*b + 6*b - 31 - 21, -4*w = 5*b + 34 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3627297 is divided by 9647.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8.67 * -0.07\nAnswer: 0.6069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(384)*-1)\/sqrt(8) + -2)**2 - (-6*(-1 + sqrt(147)) - (sqrt(147) - sqrt(147)*-1*-6))**2.\nAnswer: -131 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 602887.20202 + -33.1.\nAnswer: 602854.10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (196\/189)\/(-14)*3*1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 992 (base 15) in base 16?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 8527*k + 256750. What is l(-30)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/106 and 1\/(-72)*4*125.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 119609 times 7\nAnswer: 837263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8342 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 5*z + 250. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.63 + 273.37. Let q = 252.42 - v. Let s = q - -22. What is s rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 257.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -24403357007 and 0.069?\nAnswer: 24403357007.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -3629694 to the nearest one thousand.\nAnswer: -3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*t - 12. Suppose -3*m - t*m + 42 = 0. Which is the third biggest value?  (a) -5  (b) -2\/9  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 200867957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/27, -2\/5, 0.2, 0.05 in descending order.\nAnswer: 0.2, 0.05, -2\/27, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**4 - 11*w + 25*w - 2 + w**2 + 0 - 15*w + w**3 to the form q*w**2 + k*w + x*w**3 + z*w**4 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/924 and -163\/37632?\nAnswer: 413952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1\/9, 26785, 1\/69, -5 in descending order.\nAnswer: 26785, 0.2, 1\/69, -1\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/9 + 3917144*j\/9 - 7834280\/9.\nAnswer: -2*(j - 1958570)*(j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69394.06 tonnes to milligrams.\nAnswer: 69394060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110839, 221679, 332519, 443359, 554199, 665039?\nAnswer: 775879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 22 - 1304038?\nAnswer: -1304016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -aa (base 12) in base 6?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 - 41.9. What is the smallest value in 2\/15, -0.5, 0, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70725376 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2590*q**3 - 5947*q**2 + 1531*q + 6.\nAnswer: (q - 2)*(10*q - 3)*(259*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 148 = 112. Suppose 4*m - s = -0*m. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -2*i**5\/25 + 8*i**4\/5 - 64*i**3\/5 + 256*i**2\/5 - 512*i\/5 - 1996. Let j(u) = 0. What is u?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -480 + 30. Calculate the highest common divisor of 30 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 250 = -4*h, -2*h = 4*u - 160 + 310 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 6*i**3 + i**2 + 1. Let b be v(-1). Let k be (b\/16)\/(-2*1\/40). Factor 36\/7*w**3 + 6\/7 + 2*w**4 + 26\/7*w + 2\/7*w**k + 44\/7*w**2.\nAnswer: 2*(w + 1)**4*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)*1*1 + sqrt(156))\/(3*(sqrt(12) + sqrt(12) + sqrt(12)*3)).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -7. Let c(l) = -l + 1. What is 2*c(o) - 2*n(o)?\nAnswer: -2*o + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-72)\/(-5) + (-4)\/10. Let j(v) = -3*v**2 + 4*v**2 - 7 - v**3 + s. Let u be j(0). Solve 4*i - 3*t = -32, t - u = 3*i + 3*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -9 and -171994.\nAnswer: -172003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2588046 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 61001 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 1757.\nAnswer: 3\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p - 2*p - p + (4 + 1 - 4)*(-5*p + 3*p + p) - 5*p - 2*p + 6*p - 2*p - 1 + 1 + (-1 - 6 + 0)*(12 - 6*p - 12).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 16 = -7*c + 3*c, 2*o = -4*c + 16. Factor -1 + 5\/2*l + o*l**2 + 9\/2*l**3.\nAnswer: (l + 1)**2*(9*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -0.189358.\nAnswer: 0.378716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (169\/(-91)*-16 - 20) + 12 + -19?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5424 + 5417 - 1478*n**4 - 10841)*(0 + 1 + 0).\nAnswer: -1478*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1168 and 69788.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 96 = 4*i, -141 = -4*x + i + 96. Let y be x\/(-252) - (-4)\/14. Let w be 4\/(-10) - (-6)\/15. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i - 136. Let w(r) = -r + 27. Let b(o) = -2*k(o) - 11*w(o). Let c = 32 + -20. Let n be b(c). Is 10 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 20.91. Let n = -13.1 + 12.51. Let y = n + q. Which is the third biggest value?  (a) y  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 312*h + 3241 + 1439 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-6)*-4 + -3)*-3. Solve -2*p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 30 = 4*x - 13, k - 2*x - 13 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34821762?\nAnswer: 2, 3, 379, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -p**4 + 2649*p**2 + 584*p + 3 wrt p.\nAnswer: -12*p**2 + 5298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6584521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c8 (base 13) to base 9.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 124*k - 953 - 5495 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2223442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x - 4*x - 15. Suppose 3*z - 17 = -2*y, -2*z = -z + x*y + 3. Suppose -10 = z*s + 396. Do s and -58 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 7*z - 3. Let q(l) = l**3 + 7*l**2 - 8*l + 1. Let w be q(-8). Let n be j(w). Solve t + 10 = -5*d - 8, -12 = 2*t + n*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2622*3.\nAnswer: -7866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 5 = 4*u, -u + 2584*w + 1 = 2583*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 64*b**5 + 6496*b**4 + 125764*b**3 - 2071144*b**2 + 1011584*b - 125440 = 0.\nAnswer: -56, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-999)\/(-18))\/(-37)*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -2, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -305, -605, -903, -1199, -1493, -1785?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*f**2 + 185*f + 130.\nAnswer: -5*(f - 13)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10666 is divided by 10103.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 579.341 to the nearest integer.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 353374, 5, -229 in decreasing order.\nAnswer: 353374, 5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 713238 and 0.4.\nAnswer: 713238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 350202?\nAnswer: 350201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 44*d**3 + 11*d**2 + 15*d + 4. Give h(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 14252672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*m + 151 = 49 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p - 6. Let g be v(8). Let q = 10 + g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 - (-2 - 0\/1). Let g = -0.1 - -0.1. Which is the nearest to 2\/11?  (a) j  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102102111121011 (base 3) to base 14.\nAnswer: b40d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpozdzdzdzzzdzzzpzz. What is prob of sequence pz?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/(3\/(-36)). Suppose -2*r - r - 81 = 0. Is r\/b*2\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6342656383*u + 69*u**3 - 6342656383*u.\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a + 3*a + 50318 - 50318 + 0*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5446, 4314, 3182, 2050?\n\"Answer: -1132*a + 6578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7585456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2678783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -24\/17 in 3.46, -2\/7, -2\/17, -5\/6, 28?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2101*x**3 - 3116*x**2 - 15412720*x.\nAnswer: 12606*x - 6232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23 + -25. Let a(f) = -f**3 - 2*f**2 - f + 2. Give a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66 (base 8) to base 12\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**2 + 8*f - 43. Let y be b(-9). Suppose 0 = -5*n + 5*h + 130, n - y = -4*n + 4*h. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by -1145150?\nAnswer: -12\/572575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4*s + 318. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 113*f**9\/504 - f**8\/112 - 19*f**5\/10 + 488*f**2. What is the third derivative of t(b) wrt b?\nAnswer: 13560*b**3 - 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*s + 4*s - 34 + 5084*s**2 - 5086*s**2 as r*s**2 + d*s + c and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t\/((t\/(t*t*t**4))\/t)))\/t)**(-23))**(-2\/111) assuming t is positive.\nAnswer: t**(-322\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 25519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 17.7. Let b = 1.1 - z. Which is smaller: b or -0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p = 8*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2603.328 milligrams in micrograms?\nAnswer: 2603328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11429, -22615, -33799, -44981?\nAnswer: -56161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -14 - 8 - (-37 - (0 + -7)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -1  (c) -0.06  (d) 1  (e) 2.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -39164021.\nAnswer: -15665608.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24676317 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 207010565 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 1 = -19. Calculate the remainder when 9\/l + (-66)\/(-4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3866 is divided by 64.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1507510?\nAnswer: 2, 5, 233, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 + -39.5. Let x = q + 1.2. Let y be (-2)\/95*(-1 - 4). What is the second biggest value in -5, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, s: 1, q: 2}. Give prob of picking 2 j and 1 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12563940 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1804*b**3 + 3639*b**3 + 4801*b**2 - 1837*b**3 + 2*b.\nAnswer: -2*b**3 + 4801*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (64\/40)\/(2\/10). Solve 0 = 4*x + 2*r + 12, -x - 2*r - 5 = -k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 390355, 1561392, 3513119, 6245536, 9758643, 14052440?\n\"Answer: 390345*t**2 + 2*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -98*i**2 + 1490*i - 20. Give l(15).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhphhhhhhhhhphhph. What is prob of sequence hph?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27196638 is divided by 650.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 94176 take away -0.29?\nAnswer: 94176.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 855\/(-665)*-3*1\/18?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3*b**3 - b**2 + 4*b. Suppose 39*l - 37*l = -6. What is the lowest common multiple of x(-2) and l*1*-4*249\/332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-41 - (-66 + 79)) + 44\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, 3, 138, 347, 642, 1035, 1538, 2163?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-36)\/((-162)\/(-28) - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1062, 1080, 1108, 1146, 1194, 1252?\n\"Answer: 5*o**2 + 3*o + 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 4*m + 3*m + 5*m - 2*m to p + q*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4367, 4374, 4381, 4388?\nAnswer: 4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*c - 1 = 0, 16*l = 19*l - 4*c + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362744 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -604 - -611. Suppose 8*g = o*g - 3*g. Let -1\/3*k**4 + 0 + g*k + 1\/3*k**2 + 1\/3*k**5 - 1\/3*k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.75 + -0.75. Let a = 19 + -39. Let w = a - -16. Is w >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16045 + -14631?\nAnswer: -34006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (11 + -2)*(47\/3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4868944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38644, 77225, 115806, 154387, 192968, 231549?\nAnswer: 270130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 5 + 4 + 0 - 2 + 5*w. Let g be m(2). Find u such that 32*u**2 + 41*u - 4*u**3 + 0*u**g + 40 + 35*u = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**5\/9 - 97474*q**4\/9 + 177350596*q**3 - 8983712852744*q**2\/9 + 3304883104213264*q\/9 + 368207601479872 = 0. What is q?\nAnswer: -1, 396, 16114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1386 = -8*z + 1338. Which is the nearest to z?  (a) 1  (b) 2\/5  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5539789139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 - -166. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-1*sqrt(28))**2)*2 - (-3 + sqrt(28) + -1)**2*-2.\nAnswer: -32*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31057 != 20\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 26107270, 26107263, 26107252, 26107237, 26107218?\n\"Answer: -2*b**2 - b + 26107273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*h**2 - 3*h**2 - 4*h**2)*(0*h - 2*h + 0*h) + (347*h**2 - 57*h**2 + 25*h**2)*(-3 - h + 3) in the form l + s*h + i*h**3 + x*h**2 and give i.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13744433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -12*j + 78. Let p be i(10). Let q be 47\/p + 52\/182. Let t = -2.82 + -0.18. Which is the fourth biggest value?  (a) -0.3  (b) t  (c) -2\/15  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66616 divided by 5?\nAnswer: -66616\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 100 = -4*k. Let w = 22 - k. Solve -w*q + 7*q - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2139*o - 524*o - 77 + 77 - 2241*o to the form u*o + x and give u.\nAnswer: -4904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**2 - i + 2. Let q be x(1). Calculate the greatest common factor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63909 divided by -4?\nAnswer: -63909\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/9 + 3\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 151.3 and -0.2.\nAnswer: -30.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 1338.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 3*v. Let a be x(-3). Suppose 5*j - 1 = 4*g, 0 = -g - a*g - j + 11. List the prime factors of (4\/(-2))\/(1\/(g\/(-2))).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 232 - 112. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2112020 + -1111121012?\nAnswer: -1121010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -101 - -103. Let c be (14\/21)\/(l\/(-12)) + 4. What is the smallest value in c, 1\/4, 1.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 49*o + 15*o to the form q*o + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 16*a + 44. Let v be o(-13). Suppose -j + 0*j = 0. Solve n - v*t - 5 = -0*n, -3*t = j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -4*n + 36, 3*z + 4 = z + 3*n. Solve -s + z = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*j**3 - 37*j**3 - 41*j**3 + 154*j**3 - 37*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -10. Let o(f) = -9*f + 39. Let x be o(k). Let b(v) = -7*v - 5. Let q(d) = 6 + 2*d - 3*d + 9*d. What is x*q(h) + 4*b(h)?\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3061.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0953019857 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 570\/9*4004\/(-152152)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 99 - 159. What is the remainder when 39 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2182*q**4 + q**3 - 49481*q**2 - 633294844 wrt q?\nAnswer: -8728*q**3 + 3*q**2 - 98962*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 247 - -3?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 681 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -603 - -601. Sort 661, n, 5 in decreasing order.\nAnswer: 661, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -101, -94, -89, -86, -85, -86?\n\"Answer: -h**2 + 10*h - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5*f + 1. Let o(j) = 12*j + 9. Let l(v) = -6*v - 5. Let y(q) = 5*l(q) + 3*o(q). What is -5*p(i) + 4*y(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (35\/20*4\/14)\/2. Let u(t) = 5*t + 28. Let x be u(6). Suppose -c = c + x. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67553578.\nAnswer: 2, 33776789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**3\/2 - 3753624*q**2 - 150143160*q - 1501425600 = 0. Calculate q.\nAnswer: -2502376, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 154 (base 15) to base 13\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 155*h = -153*h + 32, -4*h = -4*d + 28. Solve -2*z = 4, d*z - 10 = 2*y + 12*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -i + 13, 900853*n - 2*i + 13 + 12 = 900852*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 21*o**2 + 30*o - 36. Let x be k(12). Calculate the highest common factor of x and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) + (sqrt(66)*-2 - sqrt(66)) + sqrt(66) + sqrt(66))\/sqrt(6) + (sqrt(11) - ((2*sqrt(132))\/sqrt(12))**2).\nAnswer: -44 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -11, -30, -61, -104, -159?\n\"Answer: -6*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(102)*-2*5)\/((sqrt(30) - -4*sqrt(120))\/(-1*sqrt(10)\/sqrt(2))).\nAnswer: -20*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160, 324, 500, 694, 912, 1160?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o + 177. Calculate the remainder when 79 is divided by a(-73).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - c**2 - c - 1. Let q(w) = w**3 - 4*w**2 + 2*w + 3. Let r be q(3). Let l be v(r). Let a(z) = 17*z**2 + 1. Is a(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1792176?\nAnswer: 2, 3, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 14568?\nAnswer: 101976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9625?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/1235175 and 13\/494070.\nAnswer: 2470350","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 9. Let j = t - 31. Calculate the common denominator of (-92)\/(-46) - 47\/(-2) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (940*w + 1778 - 2*w**3 - 1778)*(-1 - w + 1).\nAnswer: 2*w**4 - 940*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 11:00 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10783 and 130974?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 5*g + 1, 7*g = 3*h + 2*g + 3. Let u(p) = -p + 16. Let n be u(h). Solve n = -4*t - 0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2742320.\nAnswer: 2, 5, 7, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 2*v - 4 = -4*v, o + 18 = 4*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahahaahaihsphahps. Give prob of sequence ai.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002349091 rounded to 5 dps?\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 208 and 4112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/(-20))\/(3850\/(-88000))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260 = -29*o - 173 - 89 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5727\/(-249) + -2*(-70)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -17*f**2 - 275*f - 447. Calculate l(-13).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 21*d**2 + 41*d + 100. What is the least common multiple of 430 and k(-23)?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/7 + 27898\/26936\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (60\/(-75))\/(2\/(-5)). Solve -c - 3*p = 20, 2*c - 20 = 4*c + u*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b0c06 + 9?\nAnswer: -b0bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + w + 40502 + 16936, 287166 = 5*h - 2*w. List the prime factors of h.\nAnswer: 2, 5, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6025039623 to the power of 1\/2, to the nearest integer?\nAnswer: 77621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -387 and 311.3?\nAnswer: 698.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.06 + -0.06. What is the third smallest value in 0.02, p, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, s: 1, g: 3, b: 6, m: 3}. What is prob of picking 1 g, 1 m, and 1 s?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 8 - 1 - (-1 + -7 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*f + 28 = 82*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4499*t**3 + 19*t**2 + 357787 wrt t.\nAnswer: -13497*t**2 + 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 3*w - 1, 4*w + 2*j - 24 = -26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w*w**0)\/w)**(11\/5)\/(w**(-2\/3))**(-23) assuming w is positive.\nAnswer: w**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 33720.26 micrometers in kilometers?\nAnswer: 0.00003372026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17254 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.212 from 4.\nAnswer: 4.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -73931477611 and 2116.\nAnswer: -73931475495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8\/20)\/(1\/20). Suppose 0 = 2*o - 7*o + 4*g - 21, n = 2*g. Let y(s) = 1. Let x(c) = 2*c + 4. Calculate o*x(b) + 2*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/7  (b) -2176  (c) -0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.27223g to kilograms.\nAnswer: 0.00527223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m**3 + 9*m**2 - 15*m + 18. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 - -12 - -69 - (-93 + -4) - (-12 + 0)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84 and 30506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/3)\/4)\/(16\/(-24))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86815846657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 16980340*k**2. Let l(g) = -4*g. Determine l(f(p)).\nAnswer: -67921360*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2297 plus -4?\nAnswer: -3.7703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0*p + 37 = -5*k, -5*p = -3*k + 77. Let i(j) = 10*j**2 - 16*j - 16. Let m(x) = 3 - 3 - 3*x**2 - 5 + 5*x - 1 + 11. Give p*m(w) - 5*i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 21 = -4*u, 0 = u + z - 6*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 5*n**2 + 4*n + 4. Let u be j(-4). Suppose -u*h + 2*h - 2*f = 10, -f = -3. Is 2070\/40 - (-6)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 3\/13*j**2 - 8\/39*j**3 - 1\/26*j**4 - j + 31. Factor g(h).\nAnswer: -2*(h + 3)*(3*h - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2656 at most as big as -347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 35227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w*w\/(w*w**(1\/2)\/w)*w*w)\/w*w*w*w)\/w)\/w**(-2\/73))**(35\/4) assuming w is positive.\nAnswer: w**(28245\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*q**2)*(1642 - 722*q - 1642).\nAnswer: -1444*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020011210122 - -110111?\nAnswer: 1020012021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -11*v - 183. Calculate the remainder when 417 is divided by h(-23).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**5 - 7*t**4 - 5*t**3 + 7*t**2 + 6*t.\nAnswer: -t*(t - 1)*(t + 1)**2*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.302494*-0.3.\nAnswer: -2.1907482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 14 = -3*o. Let v = o + 1. Calculate the least common multiple of 4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 268 + -262. Suppose -72*u + 77*u + s = o, -2*o - u = -12. Solve -n + o*n = -4*p + 28, -p - 4*n = -18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - (-9 + 9 + -4)) + -4. Put 7, 28, v, 3 in decreasing order.\nAnswer: 28, 7, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*n**2 - 44*n**2 + 32*n**2 - 2 - 63*n to the form p*n**2 + u*n + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, -71, -3 in increasing order.\nAnswer: -71, -59, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.39 at most as big as -219\/19129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-50)\/(-275)) + 3411. Which is smaller: 3399 or g?\nAnswer: 3399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-46)\/40 - (-15)\/20. Let x = 3.5 + -4. Which is the second smallest value?  (a) -4  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -11.154652367?\nAnswer: -11.254652367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19942, -19933, -19920, -19903?\nAnswer: -19882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 3*j**2 - j + 7. Calculate the remainder when k(2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95564 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (63 + -56)*39\/3. Solve 52*w + 169 = -l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3288169.\nAnswer: 3288169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 8835213 to the nearest ten thousand.\nAnswer: 8840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 248*c - 1858. Let g be a(8). Calculate the greatest common factor of g and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001 (base 3) in base 14?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**3 - 102*r**2 + 7282*r - 212. Give p(40).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 916667637 to the power of 1\/2, to the nearest integer?\nAnswer: 30277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4627896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.24 and -2.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 1:28 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-400)\/(-420)*(3 + 0 + (-63)\/24)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 3*y**4\/4 + y**3\/3 - y**2 + 2*y + 1912. Let j(x) = 2*x**3 + x**2 - 3*x + 3. Give -2*j(d) + 3*z(d).\nAnswer: 5*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11899829, 23799661, 35699493, 47599325?\n\"Answer: 11899832*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.41, -841\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 8 + 0)*(-z + 97 - 97) + 5*z - 4*z + 0*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14727577 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 1\/12*f**4 + 0*f**2 - 1\/20*f**5 + 1\/6*f**3 - 5*f + 0. Let w(g) = -3*g**2 - 2*g + 2. What is w(q) + 2*x(q)?\nAnswer: -2*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - g**2 + 325*g + 955. Give a(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 40*y**3 + y**2 - 1. List the prime factors of o(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13439469 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -87850*v + 15. What is d(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-5*(sqrt(192) - (sqrt(192) + 2))*-2 + (sqrt(192) + 4 + sqrt(192) + 2 + sqrt(192))*-1)*3)**2.\nAnswer: 11232*sqrt(3) + 21632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12671669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1005 + -1013.77. Let c = 0.23 - x. Which is bigger: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i + 15. Let o be u(11). Let l be 0 + (o - 5) + 29. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 435\/522*4\/(-30)*(-369)\/(-2)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 197*g**4\/4 + 5*g**3\/3 - 6*g**2 - 103*g. Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 268723 = 3*y + 21877, 2*y - 164575 = 3*t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10822508.\nAnswer: 2, 2705627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -33.08 * -2\nAnswer: 66.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 49075376959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 943.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 20 = -2*j, -a + 3*j + 1449 = 1436 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4*m + 3687 = 0, m = 5*a - 6*a + 737. Calculate the remainder when a is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -1\/45*a**5 + 8*a**2 - 1\/180*a**6 + 1\/36*a**4 + 0*a + 2\/9*a**3 + 0. Factor v(g).\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1539))**2 + -4.\nAnswer: 6152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*sqrt(98))\/sqrt(2))\/sqrt(7))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-89 - -1) - (-59 - 8 - (-56 - 19)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*t**(-9)*t)))\/t)\/t**(2\/5)*t**(2\/13)\/(t\/(t*t**(-1\/8)*t))*((t**(-4\/7)*t)\/t**6)**(1\/17) assuming t is positive.\nAnswer: t**(-476407\/61880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 18721261 (base 9) to base 5\nAnswer: 4410240113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-20)\/(-6))\/((3\/(-27))\/1). Calculate the common denominator of k\/6 + 411\/42 and (63\/6)\/((-2)\/(-3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**5 - z**3 + z**2 - z - 1. Let j(r) = 12*r**5 - 9*r**3 + 9*r**2 - 9. Let x(h) = j(h) - 9*w(h). Find the second derivative of x(s) wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from tttkttottttttt.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -2\/21, 1 in increasing order.\nAnswer: -2\/3, -2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5*p - o + 6, -2*p - 2*o - 4 = 0. Suppose -d = -p*d. Suppose -21*a + 24*a - 573 = d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-82)\/(-4) - 7\/14 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*u**2*z**3 + 3*u**2*z - 60*u*z**2 + 20*z wrt z.\nAnswer: 24*u**2*z - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 32110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -180*o**6 + o**4 + 3*o**3 + 61*o**2 + 2*o - 1?\nAnswer: -21600*o**3 + 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 1, u: 3, m: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -15.8. Let t = -2.7 - b. Let l = -0.899918 - t. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, o: 2, a: 2, k: 2, w: 2, d: 7}. Give prob of sequence dv.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3766*w + 2259*w + 61787 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Sum -30886.6832 and -0.8.\nAnswer: -30887.4832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 38846029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27\/20 - 563\/420. Let c(k) be the third derivative of 0*k**4 + 0*k**3 + 0 + k**2 + 0*k - h*k**7 - 1\/36*k**6 - 1\/45*k**5. Factor c(t).\nAnswer: -2*t**2*(t + 1)*(3*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 14*y - 1. Let v be q(1). Let m(f) = 6*f + 2. Let l be m(4). What is the greatest common divisor of l and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172 = 36*x - 23 + 103 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(1008) - -3*(1 + sqrt(1008)) - sqrt(1008))*4 - (-2 + sqrt(1008) + -1 + -3))*-5)**2.\nAnswer: 124080*sqrt(7) + 3058036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 6*i**2 + 8. Let t be l(6). Let j = t + -6. Suppose -2*m**j - 2 + 2*m + m + m = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3393942257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 9*f**2 + 2*f - 3. Determine w(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + ((-30222)\/(-4048) - (9\/24 + 0)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-4))\/(-21) - (-20)\/56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*j + 65*j + 109*j**5 + 41*j - 294*j**5 + 76*j wrt j.\nAnswer: -3700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2126 and 5315.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -4*f**3 - 4*f**2 - 2*f + 1. Let l = -5 - -3. Let i be t(l). Let r be 3*(-12)\/(-8)*(-4)\/(-6). What is the highest common divisor of r and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -645\/2 or 0.149?\nAnswer: -645\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/16*6*(-7)\/(-105)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 7 = -11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -276289, 26, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 40. Let o be (16\/(-4) - u)*-1. Which is smaller: o or -32?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48 or -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 21*n + 0*n - 4 - 4*n - 11*n. List the prime factors of v(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71\/2*v - 134 - 1\/2*v**2 = 0.\nAnswer: 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**23)**(-7\/3)*(m**(-1\/53)\/m)\/m*m*m**37 assuming m is positive.\nAnswer: m**(-2812\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -190 - -193. Calculate the smallest common multiple of (k - ((-54)\/(-24) + 6))*-4 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 7:02 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1056)\/40 + 2\/5. Let m = 32 - u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x + 18. Let z be u(14). Suppose -11*p - z = 7. Is 15 a factor of -4 + 0 - 94*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -100.\nAnswer: -13\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 917*n**2 - 928*n**2 - 21*n + 9*n + 12*n.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r - 26. Let b be f(-6). Solve 3*c + 9*h - 17 = b*h, 3*c + 4*h = 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 104600000 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (3*1)\/(425\/1543175) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75546671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1989746 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-29)\/1856*6*-1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, u: 7}. Give prob of picking 3 u.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10*u**3 - 39*u + 10. Let m(d) = -3*d**3 - 13*d + 3. Give 7*m(a) - 2*p(a).\nAnswer: -a**3 - 13*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -9 - 0 - 0 - (-71 + 27 + 41)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -322, 162, 3604, 12158, 27978, 53218, 90032?\n\"Answer: 359*j**3 - 675*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8500 * 282.2\nAnswer: 2398700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c8 + 4acb76?\nAnswer: 4acc60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 - -24. Let n = 92 - 88.02. Let y = -0.02 - n. Which is the third smallest value?  (a) v  (b) 1\/3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + 4*c**2 + 5*c + 2. Let s(h) = h + 6. Let n be s(0). What is the tens digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(2\/17))\/(k**(-12\/5)*k))\/(k**41)**(-33) assuming k is positive.\nAnswer: k**(115219\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*s + 64*s = -80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 125649 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -55  (c) -2.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14457*z**2 - 163*z**2 - 2 + 3649*z**2 + 2 to the form y*z + p*z**2 + k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2512.4 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99 = -35*x - 219 + 190 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 6*k - 23*k - 743 = 277 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*n - 39*n - 89 - 340 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2460289448 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -10, -2*u = -0*u + 5*i + 1029. Let b = u + 906. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6391000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -75 - -102. Let n = q + -12. Let u = n - -1. Is u >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.74908933 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -392*z - 8070 - 8002 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(68))*4 - (-1 + (-2 + sqrt(68))**2)) + -2 + (4*(sqrt(68) + (sqrt(68) - (sqrt(68) - -1*sqrt(68)*-3)) - (sqrt(68) + -2)*4))**2.\nAnswer: 16*sqrt(17) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**5 + 58*p**4 - 121*p**3 - 58*p**2 + 120*p = 0. What is p?\nAnswer: -60, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*o + 8, 0 = 3*l - 2*o + 2 + 2. Let i = l + 1\/4. Let g = 2.02 + -0.02. Which is the third smallest value?  (a) i  (b) 4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (2 - -1) + -11 + 5 + -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 12*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.7 - 2.1. Sort -2\/11, -6, c in increasing order.\nAnswer: -6, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of 5\/12*x**4 + 1\/3*x**3 + 0 + 0*x + 3*x**2. Let v = 2 + -3. Let z(w) = w. What is v*b(t) + 12*z(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47725 is divided by 672?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**5 + t**5 - 5*t**5)*(1 - 3 + 3) - 2*t**5 + 4*t**5 - t**5 + 2*t**5 - 2*t**4 + 2*t**4 + 74*t - 73*t + t**4 - t**5 + 3*t**5.\nAnswer: 3*t**5 + t**4 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxhxhqymhhhxhqqqxnnh. Give prob of picking 1 n, 1 h, and 1 y.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151239, -151233, -151223, -151209, -151191, -151169?\nAnswer: -151143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -313271\nAnswer: -939813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 798, 85, -1.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 10933?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14156906 to the power of 1\/2, to the nearest integer?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l - l - l + (0*l - 4*l + 2*l)*(1 + 2 - 1) + l - 1 + 1.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 905188, 905193, 905198, 905203?\nAnswer: 905208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in -43, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of -4*b**2 - 3*b - 2. What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6662, 6680, 6732, 6836, 7010, 7272, 7640, 8132?\nAnswer: 8766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1673146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-8 + 18 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 28*f - 3. Let s(x) = -55*x + 7. Let n(h) = 5*q(h) + 2*s(h). What is the remainder when n(1) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 10 - 1. Let q be -2*(-5)\/((-10)\/j). Solve -u + 3 = 3*l + 17, 0 = -4*l - q*u - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -12, 7, -26, -3.\nAnswer: -26, -12, -5, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 82110.7627 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/9312 and 131\/186240?\nAnswer: 186240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -10*o - 7. Let n(m) be the first derivative of -m**2\/2 - m + 169. Determine 6*n(w) - p(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*1)*1)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 830747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 293, 194, 93, -10, -115, -222?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 3 = -3, 0 = 4*b - 3*q - 2. What is the least common multiple of (11\/(-2))\/((-4)\/16) and ((-2)\/(-4) - b)*12?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 149.06 - 151. Let y = 0.06 - k. Sort y, 0.5, -4 in increasing order.\nAnswer: -4, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -13. Suppose 8 = -5*i + 3. Let h be 10\/8 + 0 + i. Which is the closest to -2\/3?  (a) m  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -6*l + 3. Let j be 78\/5 - (-2)\/5. Suppose 1 - j = 5*p. Is c(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(12\/(-105) + (-4)\/14). Let l = -4 + 2. Let h be l - 9\/2*-6. Solve 13 = -3*a + 1, h = -u - n*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*4)\/(-9*224\/144).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2592, -5214, -7824, -10416, -12984, -15522, -18024, -20484?\nAnswer: -22896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29980 + -4016. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -90*x - 1277 + 1727. Let f(k) = k**2 + 9*k + 10. Let v be f(-8). Solve -v*o + 11 = -m, -x*m + 7 = 2*o + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.7 + -0.9. Suppose 0 = -4*t + 3*t - 4. What is the nearest to -1 in t, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 12 + 6 = g, 4*m + 20 = 3*g. Sort 18, 0, g in ascending order.\nAnswer: 0, g, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t - 3689. Let m(i) = 5*i**2. Calculate m(n(w)).\nAnswer: 5*w**2 + 36890*w + 68043605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 97 + -96. Let y(b) = b**4 - b**3 + b**2 - b. Let p(t) = 12*t**4 - 99*t**3 + 144*t**2 - 69*t + 12. Let g(q) = f*p(q) + 15*y(q). Factor g(d).\nAnswer: 3*(d - 2)*(d - 1)**2*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 233882400 and 1748.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1352842039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-1)*(-2)\/1. Suppose v - t = q, -5*q + 4*q = 5*v - 32. Calculate the remainder when 15 is divided by 6\/(-4)*(-32)\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 990 a factor of 1516833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 41*h**3 + h**2 - 15*h. What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.95 + 4.95. Let j = d + -6. Which is the nearest to j?  (a) -1\/4  (b) 4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -58b + -2?\nAnswer: -58d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**2 - 1969 - 67*h + 210 + 3*h**2.\nAnswer: -h**2 - 67*h - 1759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -4*r - 8, 8*w - 12*w - 5*r = -42. Let x = 15 - 8. Are x and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 5. Let g(q) = q + 10*q + 23 - 4*q - 25. Let y(h) = -11*h + 3. Let x(m) = -8*g(m) - 5*y(m). Calculate -i(o) + 5*x(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*g**4 + 2933408*g**3 + 3*g**2 - 29921912 wrt g.\nAnswer: 120*g + 17600448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 1\/100*v**5 + 1\/150*v**6 + 0*v**3 - 1\/120*v**4 + 3*v**2 + 0 + 0*v. Factor p(l).\nAnswer: l*(l + 1)*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5*d**2 + 12 + 6*d**2 + 10*d**2 - 20*d**2 - 11*d. What is k(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-10)*1\/1. Let h = 3.31 - 0.41. Let j = -3.2 + h. Which is the second smallest value?  (a) 0.5  (b) q  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 8*s + 5. What is the remainder when 41\/82 + ((-6)\/24 - 843\/(-4)) is divided by m(12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, c: 4, p: 1, t: 1}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -6. Let u = x - -2. Solve n + 0*n = -u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(108))**2*-4 + -4.\nAnswer: 10364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -232*i - 393. Is q(-53) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12461381 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/(sqrt(30)\/sqrt(5)))\/sqrt(2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -52.50842 rounded to two decimal places?\nAnswer: -52.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*i - 3692 = -276*i + 177*i + 150*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/80)\/((-5)\/(-10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 8*k + 9. Let s be x(-7). Suppose -61 - 135 = 5*n + 9*n. Sort -5, n, s, 0 in decreasing order.\nAnswer: s, 0, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 + -4)*1456\/(-70)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*a**2*d**2*i**2 + 48*a**2*i**2*k**2 - a*d**2*i**2*k**2 + 6*a*d**2*i**2 - 2*a*d**2*k**2 - 18*a*i*k**2 wrt a.\nAnswer: -12*d**2*i**2 + 96*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1753361 + -5043361. What is u rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147840315259 + -1182?\nAnswer: 147840314077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 10*l**2 + 12*l - 18. Calculate s(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 73347 (base 9) to base 6\nAnswer: 1012024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 293173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 604.3614 days to seconds.\nAnswer: 52216824.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5692747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 + 106052*x**2 - 636204*x + 954252.\nAnswer: -4*(x - 26507)*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -11625*l**2 + 23262*l - 6. Give z(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010110010 + -1110100000001100?\nAnswer: -1110101010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 174, 144, 54, -126, -426, -876, -1506, -2346?\n\"Answer: -5*c**3 + 5*c + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 11 = f - 4*f, -7 = -2*o + 5*f. Let h(a) = 4*a**2 + 2 - 1 - a - 2*a. Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3438 is divided by 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54 + 56. Let f(y) be the first derivative of -m + 8*y**3 - 18 - 9*y**3 + 17*y. Find the first derivative of f(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of q**5\/120 - q**4\/6 + q**3\/6 + 2*q**2. Let n(z) be the first derivative of u(z). What is n(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2872 + 2872.02053. Let q = l - 0.02. What is q rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3917 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 324604727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -11*x**3 + 27*x**2 - 26*x. Let p be c(1). Sort -2, 2, -4, p, 0 in increasing order.\nAnswer: p, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*((sqrt(88) - ((sqrt(88) - 2*sqrt(88)) + sqrt(88))) + sqrt(88)) + sqrt(88)*-1*-3)*6)\/(-4*4*sqrt(8) + sqrt(32)\/(sqrt(20)\/sqrt(5))).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 2*v + 22, -s + 2*v - 12 = 5*v. Solve 4*d + 14 = 2*r, -11 = s*r - 5*r + 3*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (11 + -8)) + 0 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 118095, 236084, 354073, 472062?\n\"Answer: 117989*n + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5699919 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 4*g - 9. Is h(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/14)\/(-9)*7*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 29250*r - 87721. What is m(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 110000011210110 (base 3) to base 5\nAnswer: 3113141122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 252 - 186. Calculate the remainder when o is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 10*k = 0. Suppose l - 3*l + 32 = k. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/2376 and 83\/216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8796+-0.2\nAnswer: -8796.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -8 + (-9 - -13) - -2*(-233)\/(-124). Is 0.1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3902 - -8085\/2. Let j = 140 - c. What is the third biggest value in j, -0.3, 0.026?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6613096?\nAnswer: 2, 7, 269, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.17, -0.4, 2.\nAnswer: -0.4, 0, 0.17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -15. Is 263 - (0 + p)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1*-2)\/((-6)\/228). Suppose -2*p - c = -6*p. What is the remainder when 75 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*s - 224 + 999. Suppose 15 = 34*y - s*y. Solve -4*m = 2*v + 3*v + 27, y*m + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -626 + 1375. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.7604866 from 3.\nAnswer: -1.7604866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d + 31*d**2 - 28*d**2 - 17*d + 26. Suppose 40 + 37 = 11*o. What is the tens digit of x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 52362 = -18357. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3872?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -b**4\/8 - b**2. Let m be ((-5)\/20 - (-11)\/(-4)) + 5. Let h(s) = 17 - 10 - m*s - 7. Calculate h(t(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7 and 41038654.\nAnswer: 41038661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 88*a**2 - 6*a - 500. What is the least common multiple of 572 and o(-88)?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - o**2 - o - 1. Let d be a(-1). Let z(q) = q**2 - q + 3. Let i be z(d). Let m be (-1 + (-3)\/(-1))*2. Is m < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, u: 3, w: 2, l: 1, x: 1}. What is prob of picking 2 q, 1 w, and 1 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 7*s**2 + 2*s - 3. Let z(m) = -m**3 - m**2 + m + 2. Let x be z(0). Let c(y) = 0*y - 5*y**2 + 4*y**2 - 5*y**2 + 3 - x*y. Calculate -6*c(o) - 5*t(o).\nAnswer: o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**2 - 7 - 7*b**2 - 2*b**2 - 7*b**2 + 4*b**2 to the form d*b**2 + x + v*b and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 87415.8ng in tonnes?\nAnswer: 0.0000000000874158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -624 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 18559903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -16*z + 20*z + d, 0 = z - 4*d - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2755039309 to the power of 1\/2, to the nearest integer?\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 84655431 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 - 17. Let s = p - 7. Let n = -0.3 + -0.7. Is n > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30.45 + 32.45. What is the closest to -0.12 in h, -2\/5, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*i**2 + i**2 - 4*i**2 + (2*i + 5 - 5)*(-1 + 1 + 2*i) - 2*i**2 - i**2 + i**2 + 5*i**2 + 4*i**2 - 27*i**2 as f*i**2 + x*i + w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from huouohhh. Give prob of picking 2 h and 1 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eettetee. What is prob of sequence ee?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*q - 320 = q, 3*o = 3*q + 936. Calculate the greatest common factor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 7*v - 13. Let y be (-3)\/(-9)*-4*9\/2. Let d be w(y). Is -8 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*f - 588 = -6577. What is the derivative of -38 + f*n**2 - 23*n**2 - 31 - 178 wrt n?\nAnswer: 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 139 - -151489?\nAnswer: 151617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2528 from -0.8.\nAnswer: -2528.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -i**6\/180 + 3*i**5\/20 - i**3\/3 - 6. Let l(y) be the third derivative of w(y). Determine h, given that l(h) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3538*g + 107. Let d be r(-2). Let z = d + -5082. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/3)\/(22\/(1320\/210)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 - 2*o + 3. Let p be t(2). Let s(r) = r**3 - 2*r**2 - 1. Calculate the remainder when 14 is divided by s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.623 - 29.023. What is the closest to -0.1 in -1\/205, 0.4, i, 2\/7?\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-156)\/(-10)*45378\/98319.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 334439 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbaaaaa. Give prob of sequence abab.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66892 or 66891?\nAnswer: 66891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25883 and 148963?\nAnswer: 21301709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1672596 is divided by 1540.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 253\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-5) + (-48)\/(-15). Suppose -b*t = 23 + 40. Let v be 1 + t\/(-15)*-1. Which is smaller: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 121 - 121.096. Let f = 0.296 + j. Let b = -7 - -4. What is the nearest to f in -0.5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -h**5\/12 + 35*h**4\/24 + 20*h**3\/3 - 246*h**2. Determine d, given that r(d) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1*sqrt(7))**2*-3 + -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 60\/(-4 - 98\/(-21)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -6*c - 5. Let m(y) = y + 1. Let g(x) = -10*m(x) - 2*p(x). Let t(f) = -3*f + 3*f - 2*f**2. Give t(g(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 26 + -2110?\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 105 = 6*h. Suppose 2*p + b = -3*p + 280, 4*b + h = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 11*b - 3 - 1 - 4. Let j(f) be the third derivative of 5*f**4\/12 - 7*f**3\/6 + 26*f**2 - f. Let o(k) = 6*j(k) - 5*t(k). Differentiate o(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o**3 + 32*o**2 + 1 - 23*o**2 + o**3 + (-3*o - 2*o + 4*o)*(0*o**2 + 0*o**2 + o**2) + 0 - 2*o**3 + 0 in the form l*o**2 + w*o + r*o**3 + s and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 5*t + 40 = 0, 5*t + 43 + 7 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -24038.3 + -230425\nAnswer: -254463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*n - 3*t - 0, 0 = -n + 2*t + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 3*q - 837 + 184, 0 = 4*g + 2*q - 650. Suppose -g*b + 162*b = 789. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31097077 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5866*b**2*t**3*x + 3*b**2*t**2*x + 2719*b**2*t + 4267*b**2*x - 16807*t**3*x wrt t.\nAnswer: -35196*b**2*x - 100842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 - v - 12. Let h be 44\/7 + (-2)\/7. What is the units digit of n(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*p - 6 + 13 + 71 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0531389 and 17.1702079.\nAnswer: 17.117069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8403109?\nAnswer: 11, 13, 58763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (5 + -5*sqrt(567)*-2)**2*-6.\nAnswer: -340347 - 5400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1320)\/(-1800) - 2\/15\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + -1 + -2 - -209. Suppose -4*p = -3*t - j, -5*p + 23 = -2*t - 233. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 440, -1, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/16, 124, -0.3, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand l - 4*l + 5*l + (-3*l + 3*l + l)*(-3 + 1 + 1) + (-2 - 9 + 6)*(-l + 1 - 1)*(5 - 2 - 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*l + 15, 17*q = 19*q + 4*l - 20. Let d be (-2)\/q + 7\/6. Sort 4, d, -5 in ascending order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 3)*(-26 + 750\/30).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i - 6. Let z(t) = -5*t - 25. Let u(x) = -9*n(x) + 2*z(x). Let m be u(0). Let w(c) = 8*c - 2. Is w(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 12:27 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101111001101000 - 100?\nAnswer: -1101111001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**2 + 0*g**2 - g**2 + 58.\nAnswer: -2*g**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -4, -0.5, -36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 69371 + -2394. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1920984176.\nAnswer: 2, 157, 764723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/3)\/(l\/(l*l**(-2\/3))))**(-15) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-182)\/(-273))\/(36\/21*-2*42\/24)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/127, 0.4, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -701  (b) 4  (c) 0.3  (d) -0.4  (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -92 - -571?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1480592 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19493023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 4:06 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q. Let z(x) = -1436544*x. Give m(z(l)).\nAnswer: -1436544*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30*r - 34*r - 21*r)*(-8*r + 9*r - 13*r) - 4*r**2 - r**2 + 18*r**2 + (-5*r + 2*r + 2*r)*(-2*r + 0*r + r) to the form h*r**2 + l*r + p and give h.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 114084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 1:58 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -4. Let h = -0.1 + -2.9. Let p = -2 - h. Is p smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -1.8. Let q = 3.2 - 3. Let r = w + q. Is -2\/5 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -31*i**4\/24 + 7*i**3\/6 + 2*i**2 - 23. Let g(w) = w**2. Give n(g(s)).\nAnswer: -31*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2 + 143*j - 412*j - 481*j - 779*j.\nAnswer: -1529*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 z when four letters picked without replacement from {z: 1, y: 17}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13 and 243?\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/(-15))\/((-4)\/(-6)). Solve -b*g + h - 7 = 0, 0 = -2*g - g - 4*h + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3834 - 28.\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19384 rounded to the nearest 100?\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7187.6 + 7188. Which is the fourth smallest value?  (a) -0.5  (b) p  (c) 2\/7  (d) -3  (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -4422\/440207?\nAnswer: -4422\/440207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - a. Let f(b) = -50*b**3 - 6*b**2 - 4*b. Give -f(h) + 6*i(h).\nAnswer: 50*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 2*2 + 0. Let c be 1537\/5 - 9\/(-15). Suppose -y*z + c = z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 73947380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -20723 divided by 1\nAnswer: -20723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 8528339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-80)\/(-45) + 4\/18. Suppose -60 = 20*j - 40*j. Let -8*w**2 + 9*w**f - 2*w - j*w**2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 11 - -7 - (10 + -18 - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 3) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((44\/33)\/(10\/(-15)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g + 6 - 4*g**2 + g**3 + 1 - g**2. Let c(z) = 19*z**2. Let v be c(1). Suppose -5*r + 6 + v = 0. Determine w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 3*h**2 + 2*h - 6. Let f be u(-4). Let n = f + 35. Solve -2*c = b + 8, 5*b = -n*c - 0*b - 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 3, o: 4, g: 6, q: 3, m: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 + 579\/7. Let a = 0.043 - -0.157. What is the second biggest value in s, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 15, 49, 105, 183, 283?\n\"Answer: 11*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 8:40 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 3*k + 10 = 0. Let l(t) = 2*t - 3*t**3 + 13149 - 6572 - 6575. Give l(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 848221\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185502 is divided by 341.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -351.6699992 + 350.37. Let h = o + 1.3. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201012201102 (base 3) to base 16.\nAnswer: -de113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 84 = 30. What is the remainder when 87 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**5\/6 - 391*i**4\/6 - 21848*i**3\/3 - 175586*i**2 - 743760*i - 842400 = 0.\nAnswer: -180, -26, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, u: 9}. Give prob of sequence uww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 328445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3.896614ug?\nAnswer: 0.000000003896614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/21)\/((-1)\/3). Let m(r) = r**2 - 6*r - 10. Let s(d) = 3*d**2 - 17*d - 31. Let i(k) = -8*m(k) + 3*s(k). Let o be i(6). Sort v, o, -2.\nAnswer: -2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 10  (b) -2\/3  (c) -3  (d) 1\/7  (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 276591 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -375 + 346. Let h = z + 29.3. Is 4\/11 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21016*c**5 + 96*c - 100?\nAnswer: -420320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*y + 43. Suppose -5*d + y = -8. Suppose 2*b + 2*b = -d*t - 24, 0 = -4*b - 2*t - 14. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2349263 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**3 - 13516*z**2 - 474219*z - 894366 = 0.\nAnswer: -33, -2, 13551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 13*z**2 + 7*z + 7. Let j(h) = -7*h**2 - 6 - 3*h + h**2 - 1 + 4. Calculate 4*g(o) + 9*j(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 70*m - 13169. Give x(-155).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 404380 is divided by 13942.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 57770*f. Let n be d(8). Suppose -3*k = -7*k - n. Let w = 166540 + k. Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6083995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 1) + (-43 + 11 - (-26 + 6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*v + 115*v - 212*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**16*g)\/(g*g\/(g\/(g\/((g**(4\/27)*g)\/g)))))**(2\/31) assuming g is positive.\nAnswer: g**(-856\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -75, -3, 5 in increasing order.\nAnswer: -75, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((352\/220)\/(4\/30))\/(16\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540810?\nAnswer: 2, 3, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 AM and 9:39 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a - 11*a + 3 + a. Let m(u) = -5*u + 8. Let b = -14 + 8. Let p(n) = 1. Let z(w) = b*p(w) + m(w). What is -4*s(x) + 7*z(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13 - -9707b?\nAnswer: 97092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240452.\nAnswer: 2, 47, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/193909 and 43\/144283?\nAnswer: 30443713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6 + ((49 - 5)\/11 - 6). Let l(h) be the third derivative of 0 + 5*h**2 + 0*h - 1\/12*h**a + 0*h**3 + 1\/90*h**5. Factor l(k).\nAnswer: 2*k*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + 0.3. Which is the third biggest value?  (a) p  (b) -5  (c) -1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*p**3 + 15*p**3 - 62*p**3 + 32*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16489273 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -686.079 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21329933.\nAnswer: 2633, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.12 and -4263404.\nAnswer: -4263403.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-92*s + 63*s + 70*s + (2*s - 3*s + 3*s)*(2 - 1 - 3) - 4*s - s + 3*s)*(2*s**3 + 3*s**3 - 2*s**3) as z*s + x*s**3 + n + d*s**2 + f*s**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1172 - 2495 + 1326 - 1250*o to the form b + j*o and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 u when three letters picked without replacement from uumaaammuaauammhm?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8855, -8418, -7981, -7544, -7107?\n\"Answer: 437*k - 9292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 33*x - 83. Calculate d(37).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*k - 0*k. Let t be 1\/(1\/(3*10)). Suppose d = -4*q + 4*d + t, k*q - d = 43. Solve -5*r + q = p, r = 4*r - 3*p + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3211 + 3224. Solve r = 4*d - s + 5, -d = s - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 3268?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**2 - 3*d + 5. Determine w(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**3 - s**3 + 0*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k**3 + 0 + 22\/9*k - 1\/9*k**5 - 65\/9*k**2 - 19\/9*k**4 = 0. What is k?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, y: 3, t: 6, o: 1}. What is prob of sequence oy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -12180 divided by -4\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50406931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 5*o - 2. Let d be g(-5). Let r = -187 + 191. Sort r, d, -3.\nAnswer: -3, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, t: 3, e: 2, m: 3, w: 1}. What is prob of picking 1 t and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 50 + 72?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 19 - 9) + 9 + 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 7. Suppose -w*v + 25 = -2*v. Solve v*t - 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 460*x**2. Let k(m) = 6*m**2. Determine k(z(l)).\nAnswer: 1269600*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 2 = 3*g + 2*r, 0 = g + r - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-810)\/137781*35\/(-25)?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.4084177 months to years.\nAnswer: 0.200701475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06664 * -0.31.\nAnswer: -0.0206584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d + 6. Let c = 66 - 19. What is the remainder when c is divided by t(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*h + 11129346 = -28*h. Let z = h + 2579782. What is z rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1011 + 1010 - 2*c - 2021.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -33 - ((-7 + 4 - -1) + -5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30104.306 rounded to the nearest 10?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*d**5 + 3*d**5 - 3*d**5 + (2*d**3 - 5*d**3 + 2*d**3)*(-1 + d**2 + 1) - d**5 + 3*d**3 - 3*d**3 - 79*d**5 + 103*d**5 - 66*d**5 - 12*d**2 + 12*d**2 - d**5.\nAnswer: -39*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 799971599.\nAnswer: 7, 3121, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 8*t - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1865 and 708367657.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5430 and 20934930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -15*l + 52. Solve l = -r - 2 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (-1 + 9)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 41*m**2 - 3*m. Let n be (196\/(-20) + 10)\/((-1)\/(-10)). Let l(k) = 41*k**2 - 2*k. Determine n*u(i) - 3*l(i).\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 28 = 5*h. Is 3 a factor of (-1 + -2)\/(h\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(95)*-4)\/(1*sqrt(20)) + 0)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/163925206 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -101*f**3 + 7*f**2 + 10*f - 6. What is the least common multiple of 162 and j(-2)?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173959496 divided by -9836.\nAnswer: -17686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2627 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303240269 is divided by 5010.\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/2*24\/(-9). Let m = 4 + k. Let c = m - -7. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4721986292 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 5*k = 37, 4*i - 23 = -3*k + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -65, -61, -67, -89, -133, -205, -311?\n\"Answer: -f**3 + f**2 + 8*f - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (106\/(-10) - -4) + -19.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -584337, -584333, -584317, -584283, -584225, -584137?\nAnswer: -584013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 568 - 566. Factor 10\/3*k + q*k**2 - 2\/3*k**3 + 4\/3 - 2\/3*k**4.\nAnswer: -2*(k - 2)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 + (-4)\/18. Suppose x = -17*f + 15*f - 68. Let g = f - -40. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*i**3 + 7*i**2 - 128*i**3 + 10*i**2 + 0*i**2 - 19*i + 5*i**2.\nAnswer: -274*i**3 + 22*i**2 - 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/7 - 12870*h\/7 - 258200\/7.\nAnswer: 2*(h - 6455)*(h + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.568 + 0.03?\nAnswer: -2.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 105 = d. Let s = 63 - d. What is the remainder when s is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 376316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**2 + o - 1. Let l(w) = -w - 3. Let i(b) = b + 2. Let r(m) = 5*i(m) + 4*l(m). Let n be r(7). Let s = n - 3. Determine u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 575*r + 295*r + 1638*r + 10 - 14.\nAnswer: 2508*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 3*n + 8*n)*((1 + 0 - 3)*(-5 + 0 + 3) - 1 - 3 + 5 - 1 + 2 + 1).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 86918 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 50 - -150?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-6))\/((-1)\/(-3)). Let o(m) = -7*m + 2398*m**2 + 93*m**2 - 9 - a. Let k be o(7). Round k to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -4*a - 2*i, -2*i + i + 11 = a. Solve a*f - 8 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 - -139. Suppose g*h - 5*t + 6*t = 643, -4*h + 2*t + 520 = 0. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -332000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-4))\/(6\/104). Let f = 48 + z. Calculate the greatest common factor of 110 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1423 in 0.02, -0.2, -0.1, -38?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-26))\/((-4)\/264). Let a = w + -10. Let p be (-1)\/6*(-142)\/(-213). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1626 + -1096. Let h = q + -302. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*q - 5 = 0, 3*b - 7 = q - 5*q. Let r(x) = x**3 + 3*x**2 - x - 2. Give r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 9*u**2 - 16*u - 20. Let c be s(-10). What is the highest common factor of c and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*r**3 + 5 - 6 - 7*r**2 + 11*r**2 in the form k*r**3 + x*r + j + y*r**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 6.1. Let t = -8 - -6. What is the nearest to -3\/2 in 0, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(80) + -2*sqrt(80) + 5 + 4)*-5)**2.\nAnswer: -28800*sqrt(5) + 64400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7634 + 8616. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6*(-4 - -10). Let u be l + (9\/(-3) - 23). Let o = 37 + u. Calculate the remainder when 20 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/6, 1\/3, -2\/101, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/12?  (a) -3\/4  (b) -3\/782  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -647, -1301, -1959, -2621, -3287, -3957, -4631?\nAnswer: -5309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 314537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202220 + -1102?\nAnswer: 201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-20043)\/4454)\/(9\/(-60))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -121642*c**3*q**2 - c**3 + c**2*q**2 + 2*c**2 - 70*c + 164 wrt c?\nAnswer: -729852*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a + 5. Let r(x) = 902*x + 16. Give r(p) - 3*s(p).\nAnswer: 896*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1501 + -985. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4\/9  (b) -9\/4  (c) 0  (d) -1\/73  (e) -0.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**2 + 2*p**2 - 2*p**2. Let o(i) = 178*i**2 - 22*i + 1. Let v(z) = -194*z**2 + 24*z - 2. Let q(m) = 12*o(m) + 11*v(m). Determine q(t(l)).\nAnswer: 8*l**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.17 + -3.04. Which is the second smallest value?  (a) p  (b) 0  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -5. Let t(u) = -u**2 - 7*u - 10. Let x be t(-3). Solve -x*o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -389517416*o**2*r**2 + o*r**2 + 31832754*r**2 + 12 wrt o.\nAnswer: -779034832*o*r**2 + r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2948224483 to the nearest integer?\nAnswer: 54298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380 = -0*g - g. Let u be g\/(-16) + (-5)\/(-20). Suppose b = 2*b - 5*l, -3*b + 3*l + u = 0. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3667*r**3 - 7362*r**3 + 18 + 13*r - 2*r**2 + 3694*r**3 as y*r**3 + w + v*r + g*r**2 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31902 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 2\/5, -1, -218?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1733 minus 46059619?\nAnswer: -46057886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.21 + -0.79. Let t = f - -1.00000064. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 12) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -32452 + -230?\nAnswer: -33012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.198 and -79771?\nAnswer: -15794.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from mmxxxxmmmmxmmm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*z**6 - 12*z**5 + 14*z**4 - 2*z**2 + 35967*z?\nAnswer: 2520*z**3 - 720*z**2 + 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3200081317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -1\/7, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 510 - 256 - 11*y**2 - 254.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1436 = -2*u, 3*j - 7*j + 5*u = -5757. Suppose -914 = -6*n + j. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11110102120 (base 3) in base 8?\nAnswer: -253360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 547 + -244. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*u - 11*u + 2*u)*(-2*u + u + 0*u) + 56*u - 56*u - 27*u**2)*(4*u - 9*u**2 - 4*u).\nAnswer: 189*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 4*m**4 + 4*m**3 + 6*m**2 - 6*m - 6. Let c = 3 - -3. Let r(l) = -l**4 - l**3 - l**2 + l + 1. Let a(w) = c*r(w) + t(w). Solve a(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23*50\/10925*-152*3\/(-7152).\nAnswer: 1\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 287*w - 1744. Give s(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/1482 and 113\/1268478.\nAnswer: 16490214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(0*f - 8*f + 3*f) - f - 2*f - 14*f + (2*f + f + f)*(-2 + 2 + 1).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -a - 7*j, -4*a - 6545 = 4*j - 6497 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 141038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -100022 (base 3) to base 11\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38805.\nAnswer: 3, 5, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (42395\/(-10))\/(12\/(-24))?\nAnswer: 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 26*a + 75 = 0. Solve a*b = -z - 2*z - 15, -5*b - 25 = 5*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399748099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2*-74\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2410342811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1001\/1078 - 1\/(-2))*(1 + 0).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2644195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5644284 and 208838508?\nAnswer: 208838508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 - 1)*(5*v**3 - 3*v**3 - v**3) + 0*v**3 + v**3 + 0*v**3)*(2*v**2 - 2*v**2 - 2*v**2) - 2*v**5 - 3*v**5 + 6*v**5.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 2*k**2 + 0*k**2)*(-4 - 3 + 4) + 4*k - k**2 - 4*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1895726, 3791455, 5687184, 7582913, 9478642?\n\"Answer: 1895729*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sq when two letters picked without replacement from sqqsq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 44 = -4*u, -5*x + 3 = -u - 2*x. Let b = -12 - u. Suppose 6*q - b = 5*q. Solve 10 = -w + q*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 PM and 8:20 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkjhkjjjhh. Give prob of sequence hjk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/1871650 and 68\/561495.\nAnswer: 5614950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.57 - 3.\nAnswer: -19.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 31024?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -1\/5  (c) -5\/8  (d) 1\/3  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29 - 46. Let q = 21 + j. Let l = 236\/7 - 34. What is the closest to 2 in l, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12110012 (base 3) to base 11.\nAnswer: 2a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 19, -178067, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 424, 859, 1294, 1729, 2164, 2599?\n\"Answer: 435*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/293433 and -17\/251514.\nAnswer: 1760598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 - g + g - g**2 + 0*g**2 + 3*g**2 + (-6*g + 3*g + 0*g)*(90 - 25*g - 90) as m + a*g**2 + l*g and give a.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eyy when three letters picked without replacement from yjyjdyyydydjyyepjyy.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*a - 12 = 0, -16 = -3*a - 4. Suppose -3*z + 4*z = c*b + 134, 0 = 5*z - 4*b - 700. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244510 + 191938 = -674*q for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4113720.\nAnswer: 2, 3, 5, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1530 and 444.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(((-364)\/288)\/(-13))\/(36\/(-144))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 82 divided by -41\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/27940368 and 49\/48.\nAnswer: 27940368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 + 0*x**2 + x**2)*(9*x**3 + x**3 - 12*x**3) + 2*x**5 - 4*x**5 - 4*x**2 + 5*x**2.\nAnswer: -6*x**5 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 431*h - 2594. Determine v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f = -3*f - 171. Let y(v) = 63*v - f*v - 4 - 53*v. Let h(w) = 4*w. Calculate y(h(n)).\nAnswer: -36*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (12 - -19)) + -24 + (2 - (0 + 9)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a. Let w(v) be the second derivative of 9*v**4\/4 - 4*v + 3. Determine t(w(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -0.0545243?\nAnswer: -0.5545243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6*a**2 - 5*a - 14. Let y(x) = 2*x**2 + 2*x + 5. Give -17*y(w) - 6*z(w).\nAnswer: 2*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11485\/21 - -547. Which is the second biggest value?  (a) -1\/7  (b) f  (c) -0.5  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 3*z - 6, 3*l - 2*z = 7*l - 12. Suppose 0 = m - 6 + l. Suppose m = -w + 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5425)\/(-15) + (-1)\/(-3). Suppose -2*g + k + 144 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 47831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-1)*-1*5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 17, 32, 63, 116, 197, 312?\n\"Answer: l**3 + 2*l**2 + 2*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -4, -0.2, 1\/4, 1\/47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/((-32)\/128).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - t - 1 + 3 - 3 + 2*t + (3 - 3 - 5*t)*(3 - 4 - 2))*(2 - 1 + 2) to n*t + r and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 96\/5 + 13\/10. Let f = 0 + p. Let m = 14586 + -670885\/46. Find the common denominator of m and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -2*i - 128, 37*i = 39*i - 12. Is 56 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3392640, 3392638, 3392636?\n\"Answer: -2*f + 3392642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-6)*(-1 + -1). Let q = -335 - -334.7. Which is the nearest to q?  (a) 4  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2540.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 30414023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3 = 0, -2*s + s + 13693 = 2*i. Suppose -i + 33 = -5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -827*q + 2272 = 1104 - 12891 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 101*h - 3618. Let m be l(36). Which is the fourth smallest value?  (a) m  (b) -4  (c) -3  (d) -2\/11  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 426 - 398. Let m = s + -28.0000103. Round m to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2871 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 7300 divide 441869000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1407\/10 or -141?\nAnswer: -1407\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2066427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f. Let k(s) = s**2 - s + 1. Let h(v) = 6 + 4*v - 10*v + 16*v**2 + v**2. Let u(j) = h(j) - 6*k(j). What is u(b(z))?\nAnswer: 99*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 9:49 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 106517320 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ksssssssssk. Give prob of sequence ssk.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 167284 (base 13) to base 6.\nAnswer: 15545324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*68\/16 + (-1 - 2). Are g and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*b + 5*b. Let v be b - 2\/(-28)*2. What is the nearest to 0.1 in 2, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11\/158 - 817\/8690. Let f = 1\/5 - z. Let y = 225 - 228. Is y greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3684168 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301154?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1307318 is divided by 459?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 + 141 + -137\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - u - 521 = 0, -15 = 4*u - 7*u. Suppose 2*w = 17 + q. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3670791 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 47*v**3 + 5*v**2 + 14*v - 12. Let h(u) = -16*u**3 - 2*u**2 - 5*u + 4. Let d(t) = -17*h(t) - 6*j(t). Let o be d(4). Does 9 divide (-2)\/7 + o\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 + 20 - -50) + -79?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*4\/20*570\/76.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -27515, -28871, -30225, -31577?\n\"Answer: w**2 - 1359*w - 26157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 7190 = -5*l, 8*r = 13*r - l - 12002. Let g be ((-1305)\/6)\/(9\/r*5). What is g rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 less than or equal to -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6955514 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7823, -21926, -36029?\n\"Answer: -14103*x + 6280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 85\/((-74970)\/648) - (4\/14 - 1)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*y + 200*y = 2002 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {t: 2, f: 1, k: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + l - 1 + 0*l)*(-10*l**2 + 61*l**2 + 5*l**2).\nAnswer: -112*l**3 - 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6771 and 1647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {m: 7, c: 2, g: 3, l: 8}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/461759 and -49\/461759.\nAnswer: 461759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/39 and -2\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106 - 114 - -1*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13764 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -m - 12. Suppose -4*n - 40 = q - 70, -3*n + 29 = 4*q. Suppose 10*o + m = n*o. Which is greater: o or -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12589105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irirri. What is prob of picking 3 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 410895 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 5*r = 241, 3*g = -0*g + 3*r + 183. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (213 - 96) + -130 + (110 - (-1 + 7 - 3)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, -693, -1\/776 in decreasing order.\nAnswer: -1\/776, -29, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c - c - 30. Let d = 10 + -15. Let y(p) = 5*p**2 + 3*p - 2. Let r(g) = 4*g**2 + 2*g - 2. Let l(q) = d*y(q) + 6*r(q). What is l(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-18)\/12 - -13).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, j: 8, m: 2}. Give prob of sequence jjqj.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from lwzzzwzzzzwzwwwzwwz?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j, 1 q, and 1 v when four letters picked without replacement from jcfcjfvcfcqqeccqcq.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**3*w**2 + s**3*w*y - 4*s**3*y**2 + 42*s*w**2*y**2 - w**2*y**2 - w wrt w?\nAnswer: -2*s**3 + 84*s*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5936, -5872, -5806, -5738, -5668, -5596, -5522?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 341 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 408, 714, 1222, 1932, 2844, 3958?\n\"Answer: 101*m**2 + 3*m + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -2\/45*a**6 + 0*a**5 - 32\/9*a**3 + 4\/3*a**4 + 0*a**2 - a + 0. Determine l, given that j(l) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1348901\/325 or -4149?\nAnswer: -1348901\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8ca7 (base 16) in base 12?\nAnswer: -18a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (5 - (9 + -5 + -2))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -122*a**3 - 3*a**2 + 3*a + 13. Let b(n) = n**3 + 13*n**2 - 3*n - 42. Let i be b(-13). Is v(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.4 - 0.4. Let o = g - 2. What is the second smallest value in 0.2, o, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-2 - 400)\/((-2)\/151)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46803, -93605, -140407?\nAnswer: -187209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -458 - 27.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2276*r**2 + 4820*r**2 - 2128*r**2 + r - 1.\nAnswer: 416*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-365)\/(-125) + 2 - (-6)\/75. Solve -3*o - 4*b = -b, -3*o = n*b + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -29*s. Let c be n(2). Let q = c + 125. Suppose 5*k = -u + 4*k - q, u = -2*k - 65. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 2*t**2 + 10*t**2 + 3.\nAnswer: 8*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5519*h + 2055*h = 10127*h + 11198*h - 715052 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5134532299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2821944877\/737701162 - 2100\/205717. Let h = d + 1\/326. What is the common denominator of 76\/3 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**2\/5 + 275279*h\/5 + 550562\/5 = 0?\nAnswer: -2, 275281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 10, 0 = -4*o - z - 3*z + 28. Let d(w) = 5*w**2. Let b be d(1). What is the second derivative of -x + x + x**b - o*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3316, -3320, -3324?\n\"Answer: -4*j - 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3355871826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41196 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2 + 0*m + 0*m + 5*m**2. Let o(y) = 11*y**2 - 5. Let z be (-3 + 13)\/(1*-2). Let w(r) = z*q(r) + 2*o(r). Let t(i) = 2*i. Calculate w(t(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1635.7 - -1636. Let p = -3 + -2. What is the closest to 0 in p, w, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 2*y + 16, -y = -f + 7 - 5. Let j(w) = -3*w**2 + 2*w + 2. Let d(k) = 16*k**2 - 11*k - 11. What is f*d(v) + 33*j(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 11. Suppose -t*s = 2*s - 12. Suppose 24 = s*u - 93. What is the greatest common divisor of u and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7341 + 16111 = f - 215*f - 237*f for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.3 + -2.8. Let y = -498\/649 + 50\/177. Let q = y + 211\/231. What is the third smallest value in q, -3, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(6)\/sqrt(3))**2)*1 + -2*sqrt(200).\nAnswer: -20*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 143\/3*n + 70\/3*n**2 + 2.\nAnswer: (n + 2)*(70*n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 444, 779, 1114?\n\"Answer: 335*h + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15585 by 3117.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.015 + -0.04111058389.\nAnswer: -0.02611058389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*b - 320 = 48*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -4*j. Suppose -3*p + 31 = 3*i - 8, -4*i = 3*p - 44. Suppose -p*u - 18 = u. Let f be r(u). Solve -23 = 3*n - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + 1 - (-11 + 16)) + 8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*z - 3*i = 137*z + 21547, -i + 86201 = 4*z. What are the prime factors of z?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26885293*c + 13493091 wrt c.\nAnswer: 26885293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 6*s - 2. Let y be o(-7). Let t be 2\/(-4) + y\/(-26). Let r = -2 + 1.6. What is the smallest value in -0.1, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 1, 3\/14, -0.1 in decreasing order.\nAnswer: 3, 1, 3\/14, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 6*q = -12. What is the tens digit of (-604)\/(-8) - (-1)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {r: 1, c: 1, w: 2, e: 1, z: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 2*p, 65*i = 61*i + p. Solve i*w = 2*m - 4*w - 4, -2 = -5*m + 2*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express a**4 + 5*a**2 - 4*a**2 - 2 + 1 + 0 as l*a**2 + p*a**3 + t*a + o + v*a**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f - 3*f**2 - 8*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**1*x))**46\/(x*x*(x\/(x*x**(4\/5)))\/x*x*x*x*x**(2\/7)) assuming x is positive.\nAnswer: x**(-1732\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3255 and 0.083?\nAnswer: 270.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 6  (b) -2\/13  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 649*n + 137*n + 310*n to s*n + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 10 - 12 + 3 - 74*m as a*m + t and give a.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95 - 92. Let m = -11 - -4. Let g(j) = -11*j - 1. Let f(h) = -15*h + 5. Let z(t) = 2*t - 1. Let k(s) = f(s) + 5*z(s). What is i*g(o) + m*k(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 255475*h - 254918*h = 38433 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26\/731 - -1\/43. Let d be (-1032)\/(-1071) - (-4)\/(-7). Let u = d - v. Which is smaller: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 4*t**2 + 86*t - 146. What is j(10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + 16. Let l be y(-7). Suppose l*d = -5*d + 133. Solve 4*q = -d + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91379*5.\nAnswer: 456895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 6 = 3*h, -5*h - 45 = -5*m. Suppose 0 = -q + m*q + 5. Is 16 + (0 - 0) + q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 451362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c + 100. Let n be t(19). Solve 3 + 7 = n*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -5, 42, 129, 262, 447?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + n**2 - 1. Let b(o) = -o**3 - 5*o**2 + 2*o. Let j(z) = b(z) + 2*h(z). Let w be j(3). Solve 4*q - 3*q + w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*n = 0. Suppose n = 6*m - 10 - 38. Let i = m - -2. Solve 2*o - 4*o - i = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -16*k. Let d(n) = -n - 7712645. What is o(d(i))?\nAnswer: 16*i + 123402320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -168?  (a) 4  (b) -1\/2  (c) -3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 5580171081241\nAnswer: -5580171081243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 889 times 2.11669?\nAnswer: 1881.73741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5745 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 68448251 - 5?\nAnswer: 68448246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 15 = -4*x, 4*x + 15 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13502, 27008, 40514, 54020?\nAnswer: 67526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 17*h + 290. Let l be n(-9). Suppose -371*s - l = -379*s. Calculate the greatest common divisor of 301 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 72 = -97. Suppose -6*f = -f. Put c, f, 4 in increasing order.\nAnswer: f, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.8*-45.9.\nAnswer: -82.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4149 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 2189*b - 102467. Calculate f(48).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 113374 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -0*c + 2*c. Let a(k) = -4*k + 2*k**2 - k**2 + 0 + c - 4. Give a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6530686 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 15*f - 5. Let m be q(-15). Which is the closest to 0?  (a) 1\/18  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12376 + 12376.65. Which is the nearest to 1?  (a) -5  (b) 4  (c) g  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 189*r**2 - 388*r + 1147. What is the remainder when 184 is divided by x(191)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 - 8*x + 2. Suppose 0 = -2*c + 3*c + 6. Calculate the lowest common multiple of k(c) and (-5)\/20 - 89\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -424.02269 - 6818.\nAnswer: -7242.02269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of n**6\/75 - n**5\/50 - n**4\/15 - 27*n + 4. Factor u(z).\nAnswer: 2*z**2*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -193*f + 14861. Let p be n(77). Let k = -11 + 15. Let s = -3 + k. Which is the closest to 0?  (a) -0.13  (b) p  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-1924)*61256\/3534?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffbfbff. What is prob of sequence ffb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-49)\/35)\/((-2)\/(-10)). Find the first derivative of -53 - 641*l - 8*l**h + 641*l - 47*l**2 wrt l.\nAnswer: -110*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/2 - 392*s**3 + 122761*s**2\/2 - 121197*s = 0. Calculate s.\nAnswer: 0, 2, 213, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 10:18 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hovvhzhzptzzppzpppv. What is prob of picking 1 p and 1 z?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1007158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k + 7*k - 3*k + (3 + 0 - 6)*(k + 0*k - 3*k) + k + 2*k - 4*k + 3707 + 102*k - 3707)*(2 - 2 + 2) as v*k + b and give v.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y. Let n be 2 + (-3)\/((-3)\/(-2)). Suppose 2*m + n*m - 6 = 0. Let g(z) = -m + 4*z + 7 - 4. Give g(i(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/10726353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 555805580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 886540445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, and 2 y when four letters picked without replacement from iyiiuyiuuiuuiiii.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 0, -7, -16, -27, -40, -55?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2\/3*p**2 - 4\/3*p + 0 + 2\/3*p**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 + 47. Suppose 2*y = 7*y - b. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(j*j\/j**(2\/5)))\/j)**(-44)*(j*j*((j**(1\/5)\/j*j)\/j)\/j)\/(j\/((j**(6\/13)\/j)\/j)))**(3\/5) assuming j is positive.\nAnswer: j**(13272\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-70389)\/79)\/27*(10\/12)\/(-5)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 6:44 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -30 - -66. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*w**6 - 2*w**5 - 97*w**2.\nAnswer: -960*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.19 + 0.59. Put l, 1\/5, -0.4 in increasing order.\nAnswer: -0.4, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9823 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 1)*(6 - 1 - 13)*(3 + 1 - 3 - 2*z).\nAnswer: -48*z + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 246 = -2*n, -5*s + s + 6*n + 209 = 2*n - 43 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 7*o**2 + 2*o - 10. Let m be v(7). Is (-280)\/42*(-18)\/m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 530 = 6*c, -3*n - c = 2*c + 42585 - 42312 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -16. Which is the nearest to y?  (a) 0  (b) 3\/4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -9.1  (b) 1  (c) -4  (d) -4\/3  (e) -3  (f) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2504.8 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tetoooettoiotottot. What is prob of sequence ett?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 1052.666 to the nearest integer.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 9*o**2 - 7*o - 6. Let i be g(-9). Suppose 2*a = 5*n - 32 - 63, 0 = -3*n - 5*a + i. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + l + 50 = -2*l, 4*d + l - 135 = 0. Solve -5 = 8*w + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-469*a - 493*a - 331*a)*(-2 + 0 - 1 - a).\nAnswer: 1293*a**2 + 3879*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9872 is divided by 429.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 11:16 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 13691.\nAnswer: 4\/13691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55096, 220471, 496082, 881923, 1377988, 1984271, 2700766?\nAnswer: 3527467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 334207 (base 8) in base 15?\nAnswer: 23635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -86?\nAnswer: 5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zyyy when four letters picked without replacement from yyyzzyz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419*l - 508*l + 1869 = 0 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1541, -3109, -4681, -6257, -7837?\n\"Answer: -2*t**2 - 1562*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1900) + -1 - (sqrt(228)*1)\/sqrt(12).\nAnswer: -1 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 13 = -o, 0 = 3*o - 3*d - d - 31. Suppose 4 - 34 = -o*g. Suppose -15 = -4*l + s + 2, 4*s + 20 = 0. Solve -a - 2*u = -l*a, -a = -4*u + g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-494*z + 494*z - 18*z**2)*(z**3 - 4*z**3 + z**3).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 165856716 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a - 5. Let x(n) = -n**3 - 7*n**2 - 6*n + 9. Let o be x(-6). Let y be g(o). Let h be -1*4\/y + 882\/7392. What is the nearest to 1 in 4, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -343*f - 1135 = -3*v - 345*f, -4*v - f + 1520 = 0. Which is smaller: v or 386?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.015, -3\/4, 0.1, -7.986?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -24, -29, -38, -51?\n\"Answer: -2*n**2 + n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + -3 - (-3)\/1. Suppose -b*o - 28 = -0*o + n, -2*o - 2 = 5*n. Let f = o + 33. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -190 - -38. Let r = -167 - k. What is the closest to r in 3, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 8*p**2 + 12*p. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - a7?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6712480507 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*w + 41 + 45 + 42 + 36 - 72*w - 162.\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 40 = 0, 0*y - 4*y - 16453*f = -16456*f - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*i + 18678 - 3990 = -2*i. Calculate the highest common factor of 840 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 24*s. Let w(j) = j + 9*j - 22*j + 4*j. Give -6*o(r) - 16*w(r).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 868323 and 117849?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_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: How many minutes are there between 12:42 PM and 12:12 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(z*(z**(1\/7)\/z)\/z)*z)\/z)**(-29)\/((z\/(z**30\/z))\/((z*z**(13\/7))\/z*z*z)))**11 assuming z is positive.\nAnswer: z**(-561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 2*v - 15, 4*r + v + 16 = -3*v. Let p(l) be the second derivative of 19\/6*l**3 + 0*l**2 - 16 + l. Determine p(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k**2. Suppose 4*s = 5*u + 1, -2*s + 1 = -s - 2*u. Calculate x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/3)*q\/(q**(2\/9)\/q))\/(q*q*q*q**(-3)*q*q**(-2)))\/((q**5*q**(-3))\/(q\/((q\/q**(-1\/2))\/q)*q)**(-6\/5)) assuming q is positive.\nAnswer: q**(-61\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-12)*-1*-126*(-267)\/(-623)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -c**6\/60 - c**5\/10 + c**4\/8 - 2*c**3\/3 + 10*c**2. What is the tens digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4735339454*i**3 + 19 - 19 - 4735339455*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**5 - 34*i**4 + 78*i**3 + 346*i**2 - 80*i - 312 = 0. Calculate i.\nAnswer: -2, -1, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 - 22.9. What is the smallest value in d, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -143 - -155.9. Let v = g + -9.9. Let f = -4.62 + -0.38. Which is the second smallest value?  (a) -1\/3  (b) -1\/27  (c) v  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 2.3, 2, 0.2 in decreasing order.\nAnswer: 2.3, 2, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1226.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8675813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 3*k = -15, 5*u + 3*k + 20 - 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 27, 35, 43, 51, 59?\n\"Answer: 8*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 = -j + 356. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -2) + (-7 - 6) + 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**3 + 2*a**2 + 3. Let m be v(-2). Let i = -269\/13 - m. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 1:12 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 - -17.1. Let d = -4.9 - g. Let o = d - -4.4. What is the smallest value in 5, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 695698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 99656355 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -60633, -121330, -182089, -242904, -303769, -364678, -425625?\n\"Answer: d**3 - 37*d**2 - 60593*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3011235 (base 7) in base 13?\nAnswer: -c5c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - y**2 + 2*y - 1. Let j be q(1). Let a = j + 2. Let l(r) = 2*r**2 - r. What is the units digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/504 and -1\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -25*x + 16. Let v be (-2 - -3)*21\/(-3). Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -124 take away 686515?\nAnswer: -686639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 96878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 83010, 83007, 83002, 82995, 82986, 82975?\n\"Answer: -t**2 + 83011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from cdedredsrecededcdde.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 537837318 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**4\/9 + 244*d**3\/9 + 1984*d**2\/3 + 40384*d\/9 + 58880\/9 = 0.\nAnswer: -92, -20, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -x - 4822 - 5002, 4*x = -t - 39305. Let g = 16015 - x. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -11567000, -46268002, -104103006, -185072012, -289175020, -416412030, -566783042?\n\"Answer: -11567001*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 194 - 121 = 93 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/47)*(a\/(a*a*(a*a**20)\/a*a)*a)\/a)\/(a*a**7*a)**(-45) assuming a is positive.\nAnswer: a**(18003\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r**5 - 324*r**4 + 5096*r**3 + 13944*r**2 - 496620*r + 477900 = 0.\nAnswer: -9, 1, 15, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*x - 6785 = 303*x + 1236 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 5*i**2 + 2*i - 3. Let s(t) = t**3 - 3*t**2 + 3*t - 2. Let y be s(2). Suppose 4*l - 23 + 3 = y. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72395246 divided by -67157?\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16.8 and 225982.\nAnswer: 3796497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 50\/45 + 735\/189. Which is the fourth biggest value?  (a) v  (b) -2\/15  (c) -1  (d) -374\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*a, -1405*a - 1401*a + 2811*a = -2*f - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 29*k**2. Let y(d) = 29*d**2 + 11758*d. What is y(v(a))?\nAnswer: 24389*a**4 + 340982*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 12*m**2 + 10*m - 13. Suppose 53*b = 55*b + 22. What is v(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -5  (c) -1\/2  (d) 6\/37  (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 a factor of 165188210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1468 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25144 is divided by 8378.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*n**5 + 184*n**2 - n + 6 wrt n.\nAnswer: -60*n**3 + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 + 5*i + 9. Let p be u(-4). What is the highest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -121742.\nAnswer: -60871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -608, -2425, -5452, -9689?\nAnswer: -15136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-18)\/(-45)*-3*(-8)\/(22656\/(-40))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1*-3)\/((-30)\/20). Find the second derivative of 12*l**4 - 6*l - 8*l**2 + 8*l**b + 27*l**4 wrt l.\nAnswer: 468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.56 + -2.66. Let j = -0.75 - 0.15. Let h = j + 2.9. Which is the second smallest value?  (a) -5\/6  (b) y  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - 14. Let j(h) be the second derivative of 1\/3*h**z - 1\/10*h**5 + 1\/15*h**4 + h + 0 - 2\/5*h**2. Solve j(v) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 3  (b) 0.03  (c) 5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*g**2 + 214*g**4 + 3846 - 3847 - 215*g**4 + 2*g in the form b*g + d*g**3 + x + i*g**4 + c*g**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1635 - -1635. Put -3, -5, p, 126 in ascending order.\nAnswer: -5, -3, p, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {l: 1, q: 1, c: 1, p: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31.575 - 0.575. Let w = 46 - y. Which is bigger: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 31 = -3*r + 6*r, 2*r - 5*g - 30 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*4\/10)\/((-25)\/(-125)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -9477978?\nAnswer: -9477975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -444 - -468. Suppose -4*p = 0, 29*s - 5*p = i*s - 15. Which is the fourth smallest value?  (a) -2  (b) -0.4  (c) -14  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 127051418 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 80, 88, 98, 110, 124?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6 and -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207*j + 267*j = 10587300. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 287 + -284. Suppose 2*v - 18 = -2*c - 2*v, c = 3*v + 9. What is the tens digit of f*(-2)\/c*-102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109148 is divided by 2181?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 22872 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes after 6:29 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 w, and 1 j when three letters picked without replacement from njjjwjzzjnzjn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.11 - -0.89. Let s be -2*1 - 144\/(-76). Put 5, q, s in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3055732 by 1527866.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3609656 (base 10) in base 14?\nAnswer: 69d688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 18083*d**2 + 38*d**3 - 18085*d**2 + 1.\nAnswer: 38*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6731359424 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13304*a**4 - 312*a**3 + 414*a**2 - 4145*a + 1 wrt a?\nAnswer: -319296*a - 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35\/10*372560\/56.\nAnswer: 5, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*s + 182*s + 387*s + 48238 = -248*s for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5*(-2 + sqrt(175)) + sqrt(175))**2*-2 + 3.\nAnswer: -63997 + 6000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -298, -1017, -1736, -2455, -3174, -3893?\nAnswer: -4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97304.01 minutes to nanoseconds.\nAnswer: 5838240600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.104302174 rounded to five decimal places?\nAnswer: 0.1043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*y - 65 = 43*y. Solve 3*p - 7 - 2 = -y*j, -2*p + 6 = -2*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 + 0.55. Let u = 0.46 - p. Let d = 0.14 + u. What is the closest to -1\/3 in d, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*r - 4517 - 90*r + 222*r - 92*r to y*r + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35502 and 7686.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**2 + 291*y - 3392. Calculate u(133).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 11 = -4*z, 3*z = z - 5*x + 27. Let u be (-143)\/(-52) - z\/(-4). Suppose u*f = 2*f. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 421617 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 260*o**2 + 578*o**2 - 27*o**2 + 573*o**2 + 0*o**2 + o**2 + 3*o**2 + (3*o**2 - 3*o**2 - o**2)*(-1 - 1 + 1) + 2*o**2 + 0*o**2 + 0*o**2.\nAnswer: 1391*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (3 - 0 - (-2)\/(-9)). What is the nearest to 1 in -4, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 10*j - 1525. Suppose -5*z + 5*k = -j, z = -3*z + k + 253. Let l = -17 + z. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 + -35. Suppose 2*y - 45 = -3*y. Let j(b) = b**3 - 10*b**2 + 10*b - 9. Let z be j(y). Solve p = -i - v + 6*v - 22, z = -5*i - 4*v + 35 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33671, -67346, -101021, -134696, -168371?\nAnswer: -202046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/((-2)\/(-8)). Let w = 16802.8 + -16803. What is the biggest value in u, 3\/73, w?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*c = -175 - 8 - 9 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -7*v. Let g(l) = -342*l + 47251 - 47251. What is g(w(d))?\nAnswer: 2394*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/sqrt(3)*4)\/((sqrt(48)*2)\/sqrt(4))*-1)**2 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11200202102 - -12?\nAnswer: -11200202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 119549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/9 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36721.66t in milligrams?\nAnswer: 36721660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11324 - -226401\/20. Let u be (-1)\/(15\/6 + -2). Calculate the common denominator of p and 111\/(-132) - u\/8.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1234050 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**3\/3 + 506*r**2\/3 + 28256*r\/3 + 192640\/3 = 0?\nAnswer: -40, -8, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 - 0.5. Let s = z + 0. Let k = -62 - -67. Which is the closest to -1?  (a) k  (b) 1\/2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 285, 8, -9, 13, 3.\nAnswer: -9, 2, 3, 8, 13, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54148069, 54148066, 54148063?\nAnswer: 54148060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -330124869*i**2 - 2623*i + 14466 wrt i.\nAnswer: -660249738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -8*q + 120. Solve -4*p - q = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105350, -105336, -105312, -105272, -105210, -105120, -104996?\nAnswer: -104832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*a - 10. Let k(g) = g - 17. Let p(v) = -17. Let d(x) = a*p(x) + 3*k(x). What is the units digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 11:24 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.03 and 24\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -49.67 + 0.01558\nAnswer: -49.65442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 403 + 71 = 4*x, 2*x = 5*c + 510. Let n = -413\/4 - c. Sort n, 1, 1\/4.\nAnswer: 1\/4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k + k**2 + 3*k**2 - 1 - 5*k**2. Let v(p) = -5*p**2 + 0*p**2 - 7 - 6*p + p**2. Let w(s) = 6*g(s) - v(s). Differentiate w(r) with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -114*g - 25. Let b(x) = 76*x + 19. Let t(l) = 8*b(l) + 5*j(l). Give t(-3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/2 in -1\/501, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225418?\nAnswer: 2, 41, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.692924 years in decades?\nAnswer: 0.8692924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1081357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5*w**2 - w + 2. Let m(q) = -6*q**2 - q + 2. Let i be (1 + 2)*10\/6. Let a be 9\/(-2) - i\/(-10). What is a*h(u) + 3*m(u)?\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-128)\/(-40) + 2618\/(-935))*(-2)\/(4\/(-145))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8113802 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4325778 divided by -80107\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2232*o - 2280*o. Let x(u) be the first derivative of o*u**2 - 17 + 0*u - 3\/2*u**4 - 7\/3*u**3. What is the third derivative of x(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9 - (0 + -9))\/(6\/3). Suppose -4*l - 124*m + 584 = -120*m, -2*l - 5*m + 289 = f. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 19 - 653 = 0. Calculate the remainder when g is divided by 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 31 - 149ab2?\nAnswer: -149a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) -8  (c) 2\/7  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*t - 6. Factor 3*m - 6*m**t + 3*m**5 + 6*m**2 - 6*m**4 + 0*m**5.\nAnswer: -3*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9988900 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 52.9 and -0.1?\nAnswer: -5.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -k**6\/45 - k**4\/8 - 16*k**3\/3 + 20*k. Let y(p) be the second derivative of r(p). Let b(s) = 2*s. Calculate b(y(q)).\nAnswer: -16*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31655149 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1108 * -1634.\nAnswer: 1810472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 68*a*f**2 + 3*a*f*q**2 + a*f*q - 5*f**2*q**2 + 12*f*q**2 - 2*q**2 wrt a.\nAnswer: 68*f**2 + 3*f*q**2 + f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + -6)\/((-6006)\/616) - (-2712)\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4*(0 + sqrt(180))*-3 - (sqrt(180)*1 + 4 - sqrt(180)*1*-1)**2) + 4.\nAnswer: -730 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*f = 40*f + 168. Suppose 86 + f = 2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 8:25 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 757079067?\nAnswer: 3, 797, 316637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 341*b**2 - 1263*b. Let t(l) = 10*l**3 + 2730*l**2 - 10105*l. Let p(q) = 3*t(q) - 25*v(q). Factor p(n).\nAnswer: 5*n*(n - 63)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -84.777 * -2.\nAnswer: 169.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.21 - 0.31. What is the nearest to j in -1, 31, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f + 136. Let o be g(-8). Suppose 0 = -4*x - 3*v + v + 68, -4*x - 5*v = -80. What is the highest common factor of x and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10\/59 or -10205\/14?\nAnswer: 10\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32476.8 in -5, -3\/2, -2, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + s**2 + s**2 + 2*s**2 - 1 + 1 + (4 - 2*s - 4)*(0*s + 4*s - 6*s) - 4 + 4 - s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -k**7\/6 - 7*k**5\/30 + 15*k**2\/2 + 26*k. Let p(d) be the first derivative of i(d). Find the third derivative of p(m) wrt m.\nAnswer: -840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1207, -62, 0, 1 in descending order.\nAnswer: 1, 0, -62, -1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 51.7. Let x = z + 5. Let a = 0 + x. What is the third biggest value in a, 0.4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-1))**(3\/34)\/(((p\/(p*p*p**5)*p)\/p*p)\/p**(-1\/3)))\/(((p**(2\/13)*p)\/p**(2\/3))\/(p\/(p**(-1)\/p))**(-19)) assuming p is positive.\nAnswer: p**(-2060\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -633  (b) -2.2  (c) 5  (d) -82  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23217870 and 10101.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*u + 4*n = 60*u + 6, 6 = 5*u - 4*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - 3*b**2 - 3*b + 7. Let p be q(3). What is the remainder when 434\/(p\/(-2)) + (89 - 91) is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 7*a**3 + 4*a**3 + 0*a**3 - 16*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 546 and 252.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -14*b**2 + 5*b - 5. Let p(q) = q**2 + q - 1. Calculate k(f) - 4*p(f).\nAnswer: -18*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 386389657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from efleleef.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18289, -73764, -166217, -295648, -462057?\nAnswer: -665444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1088*o**3 - 11233*o**2 - 13322*o - 3177 = 0.\nAnswer: -9, -1, -353\/1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 4*a + 23, 2*q + 2*a + 3*a + 19 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/1836 and 143\/11628?\nAnswer: 34884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.44  (b) 0.33  (c) 0.6  (d) -4  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*l*o + 69*l - 216*o wrt o.\nAnswer: 2*l - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**4 + 64868*r**3 - 210079020*r**2 + 192697890156*r.\nAnswer: -4*r*(r - 12251)*(r - 1983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1921206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -24\/17 at least 12814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -7. Suppose 0 = -2*b + 3*k - k - 8, -b - 2*k - 7 = l. Calculate the common denominator of -51\/7 and 4\/(84\/b)*15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 7*f**3\/3 - f + 13. Differentiate v(h) with respect to h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/1184 and -139\/30.\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**2 + 2*z - 5. Give a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -333213 (base 4) in base 7?\nAnswer: -14604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13 or -23?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, h: 5}. What is prob of picking 4 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-11))**(13\/2) assuming f is positive.\nAnswer: f**(-143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -3. Suppose 4*a = 4*o, -3*a = -4*o + 2*a - i. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -477510718788 - 0.4.\nAnswer: -477510718788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*((-2)\/(-1) - (-95)\/(-38))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -172*g**5 - 418*g**2 wrt g.\nAnswer: -10320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -180, -511, -1098, -1941, -3040, -4395, -6006?\n\"Answer: -128*h**2 + 53*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 2*h - 13, -4*u = -3*u + h - 9. Suppose -5*s - 14 = -4*k, 6*k - u*s = 3*k + 8. Solve -d - k = -1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 4*w + 12. Let o(a) = 2*a**3 + 109*a**2 + 50*a - 211. Let i be o(-54). Calculate g(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -5*q. Let j(c) = -c. Let k be 6*(20 + 85\/(-6)). Suppose 3*y = 5*s + 15, 4*s + 19 = 5*s - 5*y. Calculate k*j(w) + s*b(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 40*h - 3. Calculate s(-4).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 123 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71 - 2. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 7*u - 8. Suppose -3*t + u*t + 9 = 3*q, -5*q = t - 17. Calculate the remainder when 59 is divided by (-12)\/t + 40\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 j, and 1 e when four letters picked without replacement from jejjweejlejjfjfe?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -11*h**5\/60 + 7*h**4\/24 + 39*h**2 + 74*h. Let c(b) be the first derivative of j(b). Let t(y) = -2*y**2. Give c(t(l)).\nAnswer: -44*l**4 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23.75 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 161110 or 161081?\nAnswer: 161081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 533 and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**2 + t**2 - 6*t**2)*(-176629*t**2 + 42*t + 30*t + 176634*t**2).\nAnswer: -10*t**4 - 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 10) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -349 = u + 4. Let d = -180 - u. Suppose 16 = 7*a - d. Solve 4*w = 5*h + a, 5*w + 3*h - 3 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/r**1)**24\/(r**(-2\/7)*((r*r\/r**6)\/r)\/r*r))\/((r\/(r*r**(-2\/7)))**(-4\/9)\/(r*r\/r**(2\/7)*r)**(2\/5)) assuming r is positive.\nAnswer: r**(9607\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66523400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -1. Suppose 4*i - 8 = -c*i. Which is smaller: 5\/3 or i?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 77, -5.\nAnswer: -5, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -49, -32\/17, 0.063.\nAnswer: -49, -32\/17, 0.063, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -41*w - 8. Let k be y(1). Let d = -54 - k. Put -1, -2, d in descending order.\nAnswer: -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*p + p + 18*p - 33*p + 17*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from obmbmmqoqmmqm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/12*2 + (-867)\/18. Let r = -44 - v. Determine a so that -2\/3*a + 0 - r*a**2 - 2*a**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 l when four letters picked without replacement from {u: 6, l: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19976 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3, 1\/3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16.9 - -17. Let p(h) = -h**3 + 8*h**2 - 6*h + 2. Let j be p(7). Let g be 23\/414 + 1\/j. What is the closest to z in g, 3\/5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3757, -3752, -3747, -3742, -3737, -3732?\n\"Answer: 5*l - 3762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1177 (base 8) in base 13?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14627183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5\/17 - -461\/51. Let p = u + -9. Let n = 0.37 + -0.07. Which is the nearest to 0.3?  (a) 3  (b) p  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0201 + 5.2799. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of n**8\/336 - n**7\/210 - 49*n**6\/120 - 4229*n**5\/60 - 832*n**2 - 2*n. Find the third derivative of g(a) wrt a.\nAnswer: 60*a**2 - 24*a - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**5 + 0*d**5 - d**5)*(-296 + 736 + 148 + 603)*(-2 + 1 + 3).\nAnswer: -2382*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -10100 (base 2) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a**3*h**2*q**3 - a**3*h**2*q - 2*a**3 + 80*a**2*h**2*q**3 + 17*a**2*h**2 - 7*h**2*q**2 wrt q?\nAnswer: -12*a**3*h**2 + 480*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j - 9. Let q(g) = -g**3 - 25*g**2 - 26*g - 36. Let k be q(-24). Suppose 0*u - 6*u = -k. Let s(c) = -c + 2. Calculate u*b(m) + 11*s(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1299 - 3?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 189 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-1\/4)*c*c*c**(2\/39)*c*c*c**3\/c*c*c**(-23\/2) assuming c is positive.\nAnswer: c**(-577\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 46217 times -0.2\nAnswer: -9243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-120)\/140 + (-699)\/21*-3. Calculate the greatest common factor of 2343 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 0, 4, -417, -19, -41 in decreasing order.\nAnswer: 4, 1, 0, -3, -19, -41, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 67 + 33. Let p(k) = 3*k**2 + 14*k + 32. Let u be p(-13). Let n = u + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/3, -1\/4, -4\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 1. Suppose -u - 2*x - 60 = 0, 5*u + 13*x - 12*x = -300. Put -5, u, m in increasing order.\nAnswer: u, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 5*p**3 - 7*p**2 + 11*p + 2. Let v(w) = 2*w**3 - 3*w**2 + 5*w + 1. Give 3*m(n) - 7*v(n).\nAnswer: n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -177 - -182. Let t = -3 + b. What is the highest common divisor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -1  (b) 11  (c) 0  (d) 17  (e) 4  (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(264) - (sqrt(264) - 2*sqrt(264)*-6)))\/((sqrt(7260) - -2*sqrt(7260))\/sqrt(10)).\nAnswer: -8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-3)*n*n*n**(-3)*n**(-3)*n*n**(-19))**(-2\/33) assuming n is positive.\nAnswer: n**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1588519 is divided by 3431?\nAnswer: 3397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yzyyiftyiiiy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 3*r = -c + 8, 5*c - 4*r = 78. Suppose -4*f = -3*w - 0*w - c, 4*f - w = 10. Calculate the lowest common multiple of 2 + (-30)\/((-6)\/f) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 161 + -160.5. Let u be -3*2\/(-24)*2. What is the closest to u in -7\/3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27875549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 12*c - 89. Does 15 divide w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284817757 to the power of 1\/2, to the nearest integer?\nAnswer: 16877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p**3*s**4 - p**3 - 26*p**2*s**2 - 44*s**6 wrt s?\nAnswer: -48*p**3*s - 5280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -173, -197, -221, -245, -269?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22624033?\nAnswer: 22624033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 772276 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1*(2 + -4))\/1. Let g = 0.3 - 0.1. Let h be (-9)\/18*4\/(-6). Which is the second biggest value?  (a) o  (b) g  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-28)\/10)\/(-7))\/((-6)\/(-15)). Let r = 0.1 + -0.1. Let x = 1 + -1.1. What is the second smallest value in x, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 + 265?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 14*s**2 - 15*s - 1. Let d be 10\/((14\/21)\/1). Determine z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -33681258 and -33681257 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 14 = 2*b - 3*y, 2*b + 3*y + 8 = 0. Let d = 15.3 - 16.3. Sort d, b, 3.\nAnswer: d, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2099 - 2126 = -3*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -2  (c) 1  (d) -4  (e) -0.3  (f) -133.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 3*y**2 + 4*y - 4. What is the remainder when 81 is divided by o(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 112 - 113. Let h be c\/2 - (-54)\/108. Suppose 4*x - 9 - 3 = 2*b, -3*b - x = -10. Solve h = r - b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 8*g - 9*g, 2*o + 2*g - 984 = 0. List the prime factors of o.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 736\/64*(12 - 14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h**2 + 14*h + 10. What are the prime factors of a(14)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16948 divided by -892.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 3*s + 0*s - 2 - 4*s.\nAnswer: -s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 47877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 230 - 182. Suppose -30*m + 34*m = i. Solve -2*t = 10, v = -0*t + 2*t + m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 17*t + 2. Let m be z(-17). What is the third derivative of -3*h**5 + 3*h**m + 5*h**5 - 3*h**5 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 414 and 52394.\nAnswer: 471546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 0.6. Let x = 150.9 + -151. Which is the third biggest value?  (a) x  (b) 0.1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1003313443 - -1312?\nAnswer: -1003312131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0*(-2)\/(-8) + 189. Let b = n - 133. Calculate the highest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 6*w**2 + 16*w - 62. Let y = 92 + -86. Let k be q(y). Solve -35*x + k*x = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 0. Let t = 7 + -13\/2. Let q = 9 + -11. Which is the closest to t?  (a) l  (b) 1\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -4*r - 5*x - 5, 4*x = -r - 4. Find the second derivative of 13*o + r*o + 7*o**3 - 10*o**3 wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) 1\/2  (b) -0.00398  (c) -1\/2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-15*(-162)\/450)\/(-6*(-5)\/(-100))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 14*i + 38 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 6*d + 6. Suppose -4*u = 28, 5*l + 14*u = -0*l - 83. Determine o(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -225683 - -225998. Suppose h = 3*h - 5*y - 655, 3*h = -5*y + 920. Is h at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-14)*-1*8\/12.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 2143331860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 13*g - 16. Suppose 0 = -14*k + 12*k - 10. Let n(m) be the first derivative of -9*m**2\/2 + 11*m - 3. What is k*y(l) - 7*n(l)?\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0189 - -249.9811. Let d = v + -250.00518. Round d to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 141*s**4*x**3 - s**3*x**3 - s*x**2 + 10*s*x + 3*x**3 wrt s?\nAnswer: 1692*s**2*x**3 - 6*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 55 - -111. What are the prime factors of b?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -11\/3, -6, -0.5, 4\/5 in ascending order.\nAnswer: -6, -11\/3, -0.5, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 1 + 11. Suppose 2*i = 3*a - 22 + 3, t*i + 11 = -3*a. Let c = 1 - 1. Solve c*v + 3*v - a = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -452466250 - 5?\nAnswer: -452466255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11604 times 223?\nAnswer: 2587692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and 1231640122.\nAnswer: 1231640119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/20)\/(10\/(-50)). Let l(a) = 3*a**2 + 9*a + 5. Let v(b) = b**2 + 4*b + 2. Calculate s*l(z) + 7*v(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07 + -0.77. Let g = 0.700083 + j. What is g rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (132*o**2 - 88*o**2 + 251*o**2 + (3 + 2 - 4)*(-4*o**2 + 6*o**2 - 3*o**2) + 2 - 2 - 2*o**2)*(7*o + 3*o**2 - 7*o).\nAnswer: 876*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 89, 339, 757, 1343?\n\"Answer: 84*y**2 - 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020\/(-15640)*(-69)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3964460902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30513453440 - -2?\nAnswer: 30513453442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -434 divided by -7\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y. Let s(u) be the second derivative of u**6\/360 - u**4\/2 - 5*u + 1. Let m(h) be the third derivative of s(h). Calculate m(g(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/71?  (a) -1\/4  (b) -13.32  (c) -1\/3  (d) -3\/5  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 + 3*x**2 + 3*x + 2. Calculate a(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/13, 3, -11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5388228 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (-1052394)\/210478) + (-299 - -293). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 2*z + 6 = -a, 2*a = -2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*b - 73 = -42*b. Suppose 0 = -66*u + b*u - 924. What is the least common multiple of 20 and u?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1987005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -76 in increasing order.\nAnswer: -76, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*x**2 + 2*x - 22*x + 20*x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*w + 6 = -3*i + 115*w, -5*w = 3*i - 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1478077853 + 0?\nAnswer: -1478077853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0043377748 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20558 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 - 17. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/9?  (a) 3\/22  (b) -36  (c) 1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 716*m + 27822. What is p(-39)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 18*t**2 + 30. Determine g(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3302 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (78\/(-10))\/((-3)\/15). Suppose 3 = 3*a - x. What is the lowest common multiple of 20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2691 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + h**2 - 3*h**3 - 3*h**2 + 7*h**3 as y*h + v + g*h**3 + r*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.08627 rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -786 + -135. Is 4\/(-12)*c*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81970349 and 15952.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -465, -312445.\nAnswer: -312445, -465, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 3*n - 6. Suppose -d - 22 = 3*q, -18*q - d = -14*q + 28. What is t(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -542 - -262. Let y = t + 280. Which is smaller: y or 143?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i. Let u(l) be the second derivative of -3*l**2 + 7\/24*l**4 + 0*l**3 - 13*l + 0. Let z(p) be the first derivative of u(p). Give x(z(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 - 2430c1?\nAnswer: -2430b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -22 - (12\/162 - -13)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = w - 42*i + 38*i, 1100 = -4*w + 5*i. Let o be (-16)\/w + (-1339)\/(-455). Find p, given that -2\/3*p**2 + 0 + 2\/3*p**4 - 2*p + 2*p**o = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20145 - 1454 - 15061 = 611*a for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 567\/84 - ((-84)\/16 + 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*d**4 + 52*d + 2*d**3 - 3*d**3 + 4*d**4 - 18*d**4 as k*d**2 + u*d**4 + l*d + h + b*d**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4373186, 4373153, 4373120, 4373087, 4373054, 4373021?\n\"Answer: -33*t + 4373219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100102202220101 - -11?\nAnswer: -100102202220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = -2*z, 5*z - 10 = -5*j. Let v be j*(-1 + -2) - 1. Let x(r) = -r**2 - 10*r + 2. What are the prime factors of x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191797757 is divided by 12232?\nAnswer: 12229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3 - 14*m**2 + 20*m.\nAnswer: 2*m*(m - 5)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 + 0.1. Let i = 0.05 - 0.03. Let s = 0.22 - i. Which is the nearest to -1\/3?  (a) s  (b) -2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8642347157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -122 + 121. Let a be 81\/(-90) - l - (-87)\/30. Suppose 6\/5*t**2 + 4\/5*t + 2\/5*t**a + 0 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 2*z**2 + 3*z + 1. Let s be u(-3). Is 154\/7*(s - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fpvddrrrr. Give prob of sequence dpdv.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(7\/(-4) - -2). Let z(h) = h**2 + 3*h. Let p(l) = -8*l + l**2 + 54 + 0*l**2 - 53 - 3*l**2. Let c(o) = y*z(o) + 3*p(o). Differentiate c(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/3066 and 99\/5110?\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -117 - 38*a**3 - 8*a + 117 - 7*a wrt a?\nAnswer: -228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + 0.7. Let p be 1\/(-3)*7 + 2. Let w be (4\/(-30))\/(9\/15). Sort g, p, w in ascending order.\nAnswer: p, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express v**2 - 2*v**4 - 96*v + 3 + 96*v - 2 - 5*v**3 as c*v**2 + t*v**3 + n*v**4 + g*v + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 4*j + 4*b + 22, 0 = 2*j + b + 3. Calculate the remainder when 200 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 708*a + 547*a + 6 + 354*a + a**2.\nAnswer: a**2 + 193*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/19390 and -59\/20.\nAnswer: 38780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 2:27 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16532 + -16533. Which is the smallest value?  (a) h  (b) -0.5  (c) -27  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -1\/6  (b) 0.07  (c) -3  (d) -112  (e) 13.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times 2.6?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23674341?\nAnswer: 3, 139, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77*2321.7.\nAnswer: 178770.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 + -17. Let l(t) = -3*t - 13. Let s be l(-5). Suppose 3*w - 4*w + 3*r = 1, s = 2*w - 2*r. Put -0.2, h, w in decreasing order.\nAnswer: h, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5903*m + 20716892 - 20716892 to the form l + n*m and give n.\nAnswer: 5903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, h: 4}. What is prob of picking 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 40*l - 87. Determine u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/5 - 1596*d\/5 - 318402\/5.\nAnswer: -2*(d + 399)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 11. Is 21 a factor of 3\/(-13 + 1)*p*-168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 11*d**2 + 3*d - 16. What is the remainder when 63 is divided by x(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 5 - 4)*(5 - 4 - 3 + (13 - 4 - 1)*(-6 - 1 + 4))*(-n + n + 2*n) to the form l*n + k and give l.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 3) + (3 - 4\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (40 + 0)*(-21)\/(-14). Calculate the greatest common factor of 480 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 411 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: What is the second derivative of -3*a - 51*a**4 + 44*a**4 + 2*a wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124 + 414 + 474*u**3 - 290.\nAnswer: 474*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(7) + (6*sqrt(28)\/sqrt(4) - sqrt(7)) - (1 + sqrt(175) + (sqrt(112)*2)**2).\nAnswer: -451 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/(-1 - 0\/(-2)). Let r = 27 - z. Solve 6*o - 3*o - 29 = -5*p, r = 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.3 + -0.34. Let u = 0.04 + j. Let y = 0.4 - 0. What is the closest to u in -2\/13, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - (-24)\/(-15) - (-459)\/15. Solve 4*i + 4*w = 0, 4*w = 3*i - 5 - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-10) + (-46)\/(-10). Suppose -5*x + 1 = -m*x. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 5 = -p. Suppose 0 = -2*l - t + 37, -p*t - 76 = -4*l - 9. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -21. Let i(d) be the first derivative of -1\/4*d**4 - 1 + 1\/6*d**a - 2\/9*d**3 + 0*d. Factor i(x).\nAnswer: -x*(x + 1)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*b - 143 = -137, 2*j - b = 23. Solve -3*f = -4*i - j, -15 = 7*i - 4*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 415*w**2 - 4*w - 2. Let h(r) = 419*r**2 - 6*r - 3. Let q(t) = 2*h(t) - 3*s(t). Let n(v) = -3*v**2. Give n(q(l)).\nAnswer: -496947*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8306 - 16611\/2. Let d(c) be the second derivative of 1\/20*c**4 - b*c**3 + 0*c**2 + 0 + 26*c. Factor d(r).\nAnswer: 3*r*(r - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uquqquuuquuuquqq. What is prob of picking 4 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5587 - 5585. Let s(g) = -5*g**2 + 5*g + 7. Give s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -240350, -240349, -240348, -240347?\nAnswer: -240346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -105*129\/43860*34?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/21588 and -151\/4986828.\nAnswer: 4986828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.295 - 0.177. Let v = -0.072 - w. Which is the nearest to 2?  (a) -3  (b) 4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85 + 67 + -12 - 56\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -76, -0.1, -30 in descending order.\nAnswer: -0.1, -30, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uucbcb. What is prob of picking 1 c, 1 u, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1958841 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/14 + (-4776)\/(-28). Let g = c + -113. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299254*0.5.\nAnswer: 149627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4)*-1*0. Let n = 25 - 15. Let g(a) = -a**2 + 11*a - 8. Let l be g(n). Solve h = -l*x - 0*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 1) + 1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*x + 4 + 4, 5*u = -3*x - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q - 21 + 21 + (7 - 7 + 11*q)*(3 - 6 + 4) - q + 1 - 1)*(-6 + 2*q - 3 + 4).\nAnswer: 32*q**2 - 80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 25324 (base 6) to base 5\nAnswer: 110141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-51) + (-104 - 358919\/(-3417)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60547039 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 512*z**2 - 3*z**3 + 112 - 32 - 516*z**2 wrt z.\nAnswer: -9*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -2\/7*t**4 + 0*t + 0*t**2 - 7 + 2\/7*t**3 + 2\/35*t**5. Factor j(w).\nAnswer: 2*w**2*(w - 3)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 11*k - 1. Let s(f) = -33*f + 2. Let z(q) = -8*b(q) - 3*s(q). Let v be z(3). Find the second derivative of -v*d**4 - 2*d + 38*d**4 - 2*d wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -1101?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6486777*s**2 + 6486789*s**2 - 12973579*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 + 21. Let b be (-66)\/9 + 2\/x. Let m = b + 11. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/9*((-21087)\/22)\/(-71)*(-75)\/(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 12:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-20 - -7 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 5*g - 4*g)*(-49*g + 66*g**2 + 49*g)*(5 - 2 - 2).\nAnswer: -132*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10, -3\/4, 1\/13, 57?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -9377915?\nAnswer: -65645405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 3*z - 10, -q - 11*z + 10*z + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 136 or -153\/82?\nAnswer: -153\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108 + -93. Calculate the highest common divisor of 195 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3634432*p*v**3 + p*v**2 + p*v + 108599*p + v**2 + 93*v + 1 wrt v.\nAnswer: 21806592*p*v + 2*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/((sqrt(88)\/sqrt(4))\/sqrt(11)))\/(sqrt(704) + (sqrt(704) - (sqrt(704) - (sqrt(704)*1*1 + sqrt(704)) - sqrt(704)))).\nAnswer: sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 19*s**2 + 24*s - 21. Let y be f(19). Let z = y + -433. Solve -10\/23*m + 26\/23*m**z - 2\/23 - 14\/23*m**3 = 0.\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 412421996 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 468 = -10*b + 518 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 10*n - 45. Let o(i) = 18*i - 90. Determine -7*b(y) + 4*o(y).\nAnswer: 2*y - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26.4 + 26. Let f = -14 + 9. What is the second smallest value in 0.2, f, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 + 33. Let d be (q\/15)\/(6\/(-30)). What is the derivative of 2*l**2 + 16*l**2 - 38*l**2 - d wrt l?\nAnswer: -40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-20) - (6\/(-10) + 1\/10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 1)*(-2386*z - 4902*z + 1066*z + 706*z - 7067*z).\nAnswer: -25166*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + 47. What is the smallest common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7965 - -7965. Let p be ((-2)\/(-758))\/(1\/(-2)). Is p at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22044 (base 6) to base 2\nAnswer: 101111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -22885.4 from 0.14106.\nAnswer: 22885.54106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20877 + -18210. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fmme when four letters picked without replacement from {p: 1, h: 2, m: 2, e: 1, f: 2, q: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5013*g**3 - 373*g + 2 wrt g.\nAnswer: 30078*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*-1)*-6 + sqrt(99))\/(-4*sqrt(81)\/sqrt(9)).\nAnswer: 11*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.39 + 1.39. Which is the closest to -0.1?  (a) j  (b) -4  (c) 3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*g - 63 + 63)*(3*g - 2*g + 0*g + (1 - 2 + 2)*(0*g + 0*g + 2*g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -0.2, 4, -1 in decreasing order.\nAnswer: 4, 1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-105)\/28)\/(-15) - 1. Suppose 2*h - 8 = -2*h. Which is the third smallest value?  (a) 1  (b) u  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**5\/5 + 59*i**4\/5 + 209*i**3\/5 - 599*i**2\/5 + 66*i = 0.\nAnswer: -55, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from ooommddoodo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 0. Let f(r) = -26*r - 4. Let q be f(-3). Suppose -4*y - 74 = -a*z, z + 3*y - q = -z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 60000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -7, -0.1, -1.291 in increasing order.\nAnswer: -7, -1.291, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2680 - -2680. Solve 130*v - 132*v + 10 = g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*h = -21*h - 20 - 172. Calculate the remainder when (-162 - (1 - 2))*-1 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 979 - 929 = -2*v, 5*u + 3818 = 4*v. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 13*p. Let s be a(11). Let g = -16 + s. Let w = 1 - -6. Calculate the lowest common multiple of w and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {u: 3, i: 4, f: 1, j: 6}.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i**3 + 17*i**2 - 54*i + 14. Let p be h(-11). Solve 7 = -u + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 2. Let p be ((-4)\/6)\/((-5)\/((-135)\/6)). Suppose 0*c - 3*c = -3. Calculate the least common multiple of c and a(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 3*q + 2*q)*(-4 + 2 + 0)*(598 - 1749 - 1072)*(-1 - 1 + 4).\nAnswer: -8892*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 12:18 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -7*f - 12. Let k be (-52)\/(-8) + f - 4. Which is the closest to -0.4?  (a) 2\/11  (b) -3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 140 = -100. What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2. Let q(j) = 4*j - 181. Let m(h) = q(h) - 5*z(h). Let f be m(41). Sort f, 6, -1.\nAnswer: f, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3531 - 4832*s - 3540 + 9670*s - 4837*s.\nAnswer: s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 10989*h. Let g(w) = 2*w - 42. Give g(u(t)).\nAnswer: 21978*t - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/4 and (-1)\/(-4)*(-20)\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -2) + (-94 - -97)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8413938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12.7 in 1, -72, -5, -4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32181, -64353, -96523, -128691, -160857, -193021, -225183?\nAnswer: -257343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -14. Solve -u - 5*r + 14 = 0, -h*r + 8 = 4*u - 0*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -22. Let n(u) = -2 - 2*u + z*u + 9 + 12. What are the prime factors of n(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + 4)\/(-12)*-6. Solve 0 = -b*t + 7 - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6328 + -2427. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4348.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 2*y - 2. Let u be p(-2). Suppose -2377 = -u*b + 815. Is b\/20 - 2\/(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 46176*q + 415704. Give d(-9).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8 * 28.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**5\/30 + r**3\/2 + 2*r**2. Suppose -3*v = -2*f - 6, -2 = 5*f - 3*f - 2*v. Let g(x) = -x**2 + 2. Give f*g(h) - 2*l(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 56845 = -4*w + 2*w, 0 = -j + 3*w + 56849. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -24*z. Let l(a) = 4*a**2. Give l(d(c)).\nAnswer: 2304*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c4c + -2?\nAnswer: c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4958*t = 5870*t + 487260 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s - 3*s - 3*s)*(8*s**4 - 87 + 87) - 7*s**4 - 2*s**5 + 7*s**4 + 0*s**4 + 2*s**5 + s**4 + 1 - 2*s**4.\nAnswer: -16*s**5 - s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j**2. Let z(f) = -4 + 1 + f - 3*f. Let y(i) = 1. Let q = -6 - -5. Let h(d) = q*z(d) - 3*y(d). Calculate u(h(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63, -85, -107, -129?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4721 (base 12) to base 10\nAnswer: -7945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 2788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 130626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11\/2, 2, 170, -3?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1910 and 2101?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3 + sqrt(684) + -3)*-3 + (-3*(sqrt(684) + -3)*6)**2 + 3.\nAnswer: -11682*sqrt(19) + 224554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-9))\/(4\/(-18)). Let y(l) = l - 4. Let z be y(6). Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 55. Let g = 40 + -2. Let y = g + z. Let s(h) = 36*h**3 - 21*h**2 - 21*h - 21. Let l(q) = -7*q**3 + 4*q**2 + 4*q + 4. What is y*s(v) + 21*l(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 4:21 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d - 12. Let y be l(-15). Find the second derivative of 25*u**3 - 49*u**y - 69*u - 50*u wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -3. Let h = 7 - r. Let p(v) = 2*v - 4. Is p(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175946 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/125)\/(22\/305800*-20).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 41.1 + 0.9. Let n = 42 - x. Let q be (-1)\/(-2) - 11\/(-4). Which is the third smallest value?  (a) -2\/9  (b) q  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjjvj. Give prob of picking 4 j.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 26*h**2 - 26*h + 78. Suppose 4*i + l - 118 = -16, 8 = 4*l. What is the remainder when j(i) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 7 = -3*w, 5*d = -2*w + 12 - 0. Suppose -4*j - d*k = -2*j - 54, j = k + 19. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + 0 - ((80 - -86) + -109)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4*m + 0 = -8, 4 = 3*k + 4*m. Let b = -40 + 24. Let q = b + 26. Solve k*u + 0*x - 5 = x, 2*u - q = -2*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-9)*(-9)\/2. Let i = 12 + z. Suppose -2*f - 36 = -i*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*l + 4 = l, -2*v - 20 = -5*l. Which is the second smallest value?  (a) 3  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2819 is divided by 217?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -13031 + 305880\nAnswer: 292849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 31*m**3 - 585*m**2 - 8*m + 3188. Let k(s) = -22*s**3 + 586*s**2 + 6*s - 3189. Let a(o) = -3*f(o) - 4*k(o). Differentiate a(g) wrt g.\nAnswer: -15*g**2 - 1178*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0)**(-4\/5)\/(o**0\/o)**(13\/5)*o**4*o\/o**(1\/9)*(o\/(o\/(o*o**(-6))))\/o**7 assuming o is positive.\nAnswer: o**(-203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4*(0 + (sqrt(76) - (6*(-1 + sqrt(76)) - sqrt(76))) + -2 + -4))**2.\nAnswer: 97280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2730  (b) 92.51  (c) 5  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(19)*-2 + -5 + -5.\nAnswer: -13 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66100239 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 213 - 96. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b**2 + 7*b**2 - 4*b**2)*(-3*b**2 - b**2 - 3*b**2) + (-4 + b + 4)*(3 + 2*b**3 - 3) to k*b**4 + r*b**2 + j*b**3 + v + s*b and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4539 and 267?\nAnswer: 4539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 66\/15 - 4\/10. What is the second smallest value in 1, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = l - 220*l - 3*l + 27774 for l.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1139284.7 * 0.12.\nAnswer: -136714.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 170\/(-50) - (-4)\/1. What is the third biggest value in v, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 1:44 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**2 + 2 - 2 + (0 + 0 - z)*(z + z - z) + 5 - 5 - 18*z**2 + 3*z**2 - 4*z**2 - 2*z**2 to the form m*z**2 + s*z + f and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**6\/200 + 3*r**5\/100 - r**4\/20 + 169*r**2. Find i such that v(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19221 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d - 3*d + d**3 + 2*d**2 - 2 + 2*d**2. Let l be s(-5). Is 16 a factor of ((-48)\/(-15))\/(l\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 6*r + 88. Let a be s(-14). Suppose 0 = -3*w - 2*w. Solve w*f - 3*v - 2 = 2*f, -a*v = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -13306976 in decreasing order.\nAnswer: 0, -3, -13306976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 242874*w**2 - 44 - 485747*w**2 + 242875*w**2.\nAnswer: 2*w**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -10 + 7 + (28 - 14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(105)\/sqrt(3) - sqrt(35))*6)\/sqrt(5))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -3*x**2 + 120*x - 693 = 0.\nAnswer: 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37485, 74971, 112457, 149943?\nAnswer: 187429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.08 + -0.08. Let h = 2477\/8 - 310. Let j = 1 + -0.9. What is the closest to a in h, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (288\/40 - 4)*1920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 721525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75*i**3*l**2 - 3*i**3*l - 186*i**3 + 15658*i**2*l**2 - 902*i**2 - 3*i*l**2 + 17*l wrt l.\nAnswer: -150*i**3 + 31316*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -101?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.1 + 2.3. Let n = -0.4 + w. What is the second biggest value in -0.4, 2\/13, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 180\/11*p**2 + 6\/11*p**4 + 54\/11 + 216\/11*p + 56\/11*p**3.\nAnswer: 2*(p + 3)**3*(3*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -40*g**2 - 2. Let v be b(-1). What are the prime factors of (-14 - v)\/((-2)\/(-4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -159, 5, 11\/227 in descending order.\nAnswer: 5, 11\/227, -3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 4*s + 105 = -3*h, 3842*h - 2*s = 3837*h - 175 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 6:48 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 10*c**3 - 4*c**2 - 9. Suppose -5*a - 3 = 17. Let b(x) = -21*x**3 + 7*x**2 + 18. Let l(u) = a*b(u) - 7*m(u). What is the derivative of l(d) wrt d?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187 = 11*r - 55 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 not equal to -8277\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**4 + 15*b**2 + 8*b**2 - 10*b**2 - b**4 - 2*b**3 to the form t*b**3 + r*b**4 + x + y*b**2 + o*b and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -2*m**3\/21 - 5800*m**2\/21 + 17474*m\/21 + 23224\/3 = 0.\nAnswer: -2903, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.01, 20\/33, 2\/13, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130213032102 + 2?\nAnswer: 130213032110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(28*15\/1620))\/(4\/7)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -20*c - 15. Let u(l) = 36*l + 31. Determine 11*d(n) + 6*u(n).\nAnswer: -4*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - 26 - (-2 - 4)) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25528499533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 1. Let f(a) = a**2 - 6. Let d(k) = f(k) + 2*s(k). Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -11*y + 3. Let j be o(2). Let s = j - -21. Solve 3 - 11 = d - h, -3*d - s*h = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -261 - -266. Let r(u) = -13*u**3 - 11*u + 4*u + 8*u**2 - y + 12*u**3. Give r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 - -0.16265\nAnswer: -14.83735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**3 + 3*m**3 + m**3)*(-133*m - 46*m - 7*m) + (2*m**2 + 2*m - 2*m)*(3*m**2 + 2*m**2 - 3*m**2) + 3*m**2 - 3*m**2 - m**4 + m**4 + 3*m**4 - 3*m**4.\nAnswer: -182*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 20*m - 8. What is p(-2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of ((-11)\/(-2) + 1)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 11*o + 4. Let w(s) = 16 + s**2 - 38 + 19 + 10*s + s. Calculate 2*d(t) + 3*w(t).\nAnswer: t**2 + 11*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i**(2\/29)*i))\/i**20*((i\/i**(-22))\/i)**(33\/5) assuming i is positive.\nAnswer: i**(17999\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6376 a factor of 7899864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 34\/(-255)*(10\/3)\/2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from dnlddlllnldqdqn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 39 = -3*x, 5*x = -0*x - 5*c + 65. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i = -17*i + 591. List the prime factors of i.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, t: 4, n: 2, l: 2}. Give prob of picking 2 t and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**2 - 4938872*c - 1524528539524 = 0. Calculate c.\nAnswer: -617359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**5 + 2*j**5 - 76*j - 71*j**6 + 2*j**2 + 103*j wrt j?\nAnswer: -8520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttfxfxtxfxftx. What is prob of picking 1 t, 1 f, and 1 x?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 a when four letters picked without replacement from {a: 4, i: 2, t: 6, q: 1, l: 1, s: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - i - 163917 + 5985, 63174 = 2*y - i. Solve 1 + 148*p - 31570*p**2 + y*p**2 + 35 = 0 for p.\nAnswer: -9, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -0.3  (b) -6\/17  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35928941.\nAnswer: 29, 281, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/8)*n\/(n**(-3)\/n*n))\/(n\/n**(-3)*n**(-3))*n**(2\/3)\/n**7*(n\/n**(-2))**(-5\/17) assuming n is positive.\nAnswer: n**(-1771\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 6*j**2 + 6*j + 5. Let h(s) = -5*s**2 - 2*s - 4. Determine -4*h(q) - 3*o(q).\nAnswer: 2*q**2 - 10*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8761 by 1.\nAnswer: -8761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1028*g + 16. Let w(i) = -1026*i + 21. What is 4*c(r) - 3*w(r)?\nAnswer: -1034*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 364024 or 363932?\nAnswer: 364024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 3*n - 3. List the prime factors of v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -11 - (20\/10 + 6 + -22). Let d(r) be the third derivative of 0*r + 22*r**2 + 7\/6*r**4 + 5*r**z + 0. Find the first derivative of d(k) wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(77)*-1 + 3*sqrt(77)*-2)\/((-2*sqrt(84)*-2)\/sqrt(12)*4).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37188.01 hours in seconds?\nAnswer: 133876836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44913349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 54451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 120 = 2*o. Suppose -4*j - 16 = -3*q, -4*j = -4*q + 28 - 12. Let a = o - q. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 414 and 11673.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -379582868  (b) -1\/6  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1599597 is divided by 39987?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.063 * 505.\nAnswer: 31.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5298607857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2\/11 - 74*l\/11 - 560.\nAnswer: 2*(l - 77)*(l + 40)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5*n - 2*n - 4*n + 1. Let r be 2*(4\/(-3) - 30\/180). Give a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 702544580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lqlqqljzzjlq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 804713319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -3 - (23 + -25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 4 - p + (-3 - 1 - 1)*((0 + 1 - 2)*(3*p - 4*p + 2*p) - 6*p + 8*p + 9*p + 0*p - 4*p + 3*p - 2*p + 2 - 2) in the form s + h*p and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -33 and -3.36.\nAnswer: -36.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 - 4*o + 6. Let b be x(7). Suppose -15 = -r + b. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236a801 (base 13) to base 7\nAnswer: 162114504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*p**5 + 712*p**3 + 921*p**2 - 266695*p + 1 wrt p.\nAnswer: 40*p**3 + 4272*p + 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 6*w**4 + 5*w**2 - 6*w - 6. Let o(j) = 6*j**4 + 6*j**2 - 5*j - 5. Let c(b) = -6*o(b) + 5*q(b). What is the third derivative of c(d) wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t - 2*t + 0*t)*(1 - 1 + 3*t) in the form c + f*t + h*t**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*d + 19 - 3 = -224 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -72952782 - -138774.01?\nAnswer: -72814007.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*p + 5, -2*u = p + 5 - 4. Let m = -2 - 3. Sort m, u, 4 in decreasing order.\nAnswer: 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 - 78. Let s(b) be the first derivative of 0*b - 5\/2*b**2 - 2 - 7\/5*b**5 + 0*b**4 + u*b**3. What is the second derivative of s(f) wrt f?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**2 + 9*k - 2*k**2 - 4*k**2 wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.68, -0.05, 8623?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4194, -4167, -4140, -4113, -4086?\n\"Answer: 27*m - 4221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(209)*1)\/(sqrt(11)*-2*-5) + ((-2*sqrt(475))**2 - sqrt(209)\/(sqrt(55)\/sqrt(5)))*3.\nAnswer: -18*sqrt(19)\/5 + 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 3)*(2 + p**3 + 409*p**2 - 419*p**2 + 0)*(-4*p - 3*p + 5*p).\nAnswer: -2*p**4 + 20*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 6*h + 63. Let a be m(11). Let d(z) = 26*z**2 + 28*z - 147. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.456, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -5 + (-4 + 3 + 18 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1243448161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -3*q + 3*p, q - 49 = 8*p - 11*p. What is the remainder when 480 is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1*6)\/((-3)\/(-4)). Let g be c\/6*3\/2. Sort 1, -4, g in descending order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 681*x**2 - 35*x**5 + 497*x**4 + 10*x**5 + 9*x**5 + 1 + 14*x**5 wrt x?\nAnswer: -120*x**2 + 11928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 5*h + 6, h + 3*b - 25 + 34 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -970*t - 5. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) 1.487  (c) 1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7, 5, 6 in decreasing order.\nAnswer: 6, 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d**2 - 8*d - 27. Let c(m) = m**2 + 3*m + 9. Let a be (28\/(-42))\/((-4)\/(-18)). Let v(q) = a*p(q) - 8*c(q). Find the first derivative of v(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -5. Let m = 0.3 + 0. Let s = 0.5 - m. Which is the biggest value?  (a) d  (b) s  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 120065 and 3.\nAnswer: 360195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*t - 750 = 29*t + 5*s, 122681*s = -5*t + 122679*s - 42 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 4*s**3 + 6*s**2 + 4*s + 19. Calculate a(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(150)\/sqrt(75))\/(3*sqrt(110)\/(sqrt(33)\/sqrt(3))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-3*642\/45)\/((-704)\/1760)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21740 and 13780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37454887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j - j + 101 = 11*r, -r = 2*r - 8*r - 0*r + 45 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19581911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6721531 or -170?\nAnswer: -6721531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/3 - x**3 - 4*x**2 + 52*x\/3 - 16.\nAnswer: (x - 3)*(x - 2)**2*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1800 is divided by 187.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 227, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 8 = -8. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gfff when four letters picked without replacement from ffggfg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-6)\/y*y)*(y\/(y*y**(-2\/11)))\/y)\/(y**(-2\/7)\/y*y**(2\/17))*(y**(-1\/4))**(-1\/17)\/(y*y**1)**(-13\/4) assuming y is positive.\nAnswer: y**(67359\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 3. What is the units digit of (-18)\/((-2 - t) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/6478948 and 103\/127032.\nAnswer: 2604537096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**5 - 365*p**4 + 23497*p**3 - 17323*p**2 - 5805*p = 0. Calculate p.\nAnswer: -135, -1\/4, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273 = 8*o - 191. Calculate the remainder when o is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 191 + 171 = 5*n, 24 = 2*w - 2*n. Solve -22*l + w*l - 102 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46038 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d + 1. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.096 + 131.096. Let n = -166.5 + x. What is n rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 8*k - 52. Let s(x) = 6*x - 24. Let p be s(6). Calculate the remainder when o(p) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z**3 - z**2 - z. Let b be h(-1). Let d(u) = u**3 + 4*u**2 - u - 4. Let r be d(b). Suppose -4 = 6*s + 26. Sort 3, s, r.\nAnswer: s, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46*h**3 - 11*h**2 + 2131*h wrt h.\nAnswer: 276*h - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/9?  (a) 3  (b) -0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22836 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*z + 65*z - 12 + 12 + 50*z.\nAnswer: 125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3054*v + 2962*v - 6024*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 874 - 534. Suppose -5*j + 10*l - 5*l = -w, -l = j - 64. What is the remainder when j is divided by (-1)\/(-3)*(-102)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - -3. Suppose 4*b = -w - 13. Let h = -3 - b. Solve 0*k + 8 = -h*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -2, -112 in increasing order.\nAnswer: -112, -22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-495)\/23760*(-2)\/8*24\/(-8).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 582980577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v*(v*v**13)\/v)\/v))**(24\/5)\/((v**(-3\/8)\/v)\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(-15823\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 71955599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -77*h**2. Let f(b) = -4*b**2 + 6. Let y(n) = -13*n**2 + 21. Let c(s) = 7*f(s) - 2*y(s). Determine z(c(k)).\nAnswer: -308*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.4769463 rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.7 - -3.3. Put 2\/5, 1\/2, l, 3 in increasing order.\nAnswer: 2\/5, 1\/2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1814, 1813, 1812, 1811, 1810?\nAnswer: 1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((-289)\/(-51) + (-2)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 2115148.\nAnswer: 1\/2115148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 52*g**2 + g - 43. What is q(0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10021 (base 7) in base 2?\nAnswer: -100101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) - (sqrt(13) + (sqrt(52) + sqrt(260)\/sqrt(5))\/sqrt(4))**2 - (2*sqrt(13)*1)**2.\nAnswer: -169 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8895664 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2001 + 43*t**2 + 87*t**2 - 20*t**2 - 2000 + 2*t + 5*t**3 as m + i*t**3 + c*t + z*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4894 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 2*g**2 - 2*g + 2. Let y be m(3). Suppose -t + z - 2 = -0*t, -y*z = 4*t - 19. Let a be ((-2)\/(-3))\/(2\/21). Solve t = 4*d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -18. What is the second derivative of -26*q**2 + a*q + 5*q**4 + 26*q**2 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94\/4*448136\/405046?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 0 + (17 - 0 - ((10 - 141) + 153)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.4 - -11.4. What is the nearest to 1\/3 in -2, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.152 in 0.417, -1, -0.07, 1\/11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22.6?  (a) 1\/3  (b) 2  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15931770 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (84\/168)\/(1 - 3\/2). Let x(w) = -9*w + 5. Let j(h) = -h - 1. Let d(c) = g*x(c) + 2*j(c). What is the units digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 121, 108, 87, 58, 21?\n\"Answer: -4*m**2 - m + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 13) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -3, 5, -498, -5, -2029 in ascending order.\nAnswer: -2029, -498, -5, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 5*a + 8. Let v be (-1)\/((a\/(-85))\/4). Let j = v + 138. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 1.66, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 1749786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbgbgggggbg. What is prob of picking 3 b?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 4*c**2 - 364*c - 730. Let f be v(-2). Put -33, -3, 0, f in decreasing order.\nAnswer: f, 0, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2*(-1*(sqrt(27) + -2 + 1 + 3) + 1 + 1))**2.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -158*x - 6. Let b(d) = 238*d + 9. Let c(u) = -5*b(u) - 8*i(u). Let g(a) be the third derivative of -a**4\/12 - 286*a**2. Give c(g(l)).\nAnswer: -148*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g. Let j(i) = -54 + 16 - 322*i + 19 + 19. Determine a(j(m)).\nAnswer: -966*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26212 - 4?\nAnswer: 26205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2785931 (base 13) in base 14?\nAnswer: -1933155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 322 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f**3 - 6678*f - 6672*f + 13350*f + 3*f**3 - 9*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from cctcxmxccxtcxttt?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from fxoraxoxgofroar.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 516644*g**5 - g**3*m - 3*g**3*y - g**2*m - 33*g*m*y - 90*g*m - 2*g*y + 2*m - 3*y wrt g.\nAnswer: 30998640*g**2 - 6*m - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**4 + 776*i**3 + 74492*i**2 - 151320*i + 76050.\nAnswer: 2*(i - 1)**2*(i + 195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10017 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85043426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + i + 25, -2*t = -0*i - 4*i + 40. Let c be 100\/10*-2*2\/t. Determine k so that -4\/7 - 16\/7*k**4 + 0*k**3 + 6\/7*k**5 + c*k**2 - 6\/7*k = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19550 - 19539. Sort -5, 17, -2, 1, l.\nAnswer: -5, -2, 1, l, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 64*n**2. Let q(h) = 17*h + 1. Let x(v) = -23*v - 1. Let r(a) = q(a) + x(a). Determine f(r(l)).\nAnswer: 2304*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 41921, 166926, 375013, 666182, 1040433, 1497766, 2038181?\n\"Answer: 41541*z**2 + 382*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppxwpwexep. What is prob of picking 1 x and 2 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/90 and 16\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*x + 6*x - 11*x)*(-4*x + 28*x - 6*x).\nAnswer: -342*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from yyyyycyycyccb.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*r + 53*r + 8 = 0. Let h(s) = 108*s + 1458. Let u(k) = -k**2 + 324*k + 4374. Let i(p) = r*u(p) + 14*h(p). Factor i(n).\nAnswer: 4*(n + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -6, 2*x - 44 = 5*x - 4*t. Let c be ((-3)\/(-12))\/((-1)\/x). Suppose 3*n = -c*f - f + 11221, -5643 = -2*f + 5*n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1423850307 to the power of 1\/4, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233513293 to the nearest integer?\nAnswer: 15281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3)*((-2826)\/12 - -6). Suppose 0 = 5*c - x - 2. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {l: 8, q: 1, x: 1, f: 2, m: 1, h: 2}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 51775332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 19 - -15*530\/10. Solve 849 = -5*c + p for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 44\/(-6) + (-3)\/(-9). Let t(w) = -4*w**2 - 6*w**2 + 7*w**2 - 4*w - 5 - 4*w**2 - w**3. Is t(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 2*y**2 + 1. Let l be o(2). Let d(w) = 376*w + 11. Is 22 a factor of d(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-6)*u*((u\/u**5)\/u)\/u)**(1\/13)\/(u**(2\/15)\/u**(2\/9))**45 assuming u is positive.\nAnswer: u**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 49807181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + i**2 - 7*i**2)*(1 - 4 + 5 - 1 + 5 - 2 + (-5 + 3 + 1)*(4 - 2 + 0)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -338*z + 2*z + 10929 + 3222 = -10041. Let v = 38 - 14. What is the least common multiple of v and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 - 387387\/(-54) - (-5)\/30 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*d - 11*d - 18*d)*((3 + 2 - 3)*(1 - 1 + 3) - 3 + 1 - 1)*(-8 - 2 + 3).\nAnswer: 168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -1, -207480334 in decreasing order.\nAnswer: 0, -1, -2, -207480334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(117)*1 + sqrt(117))\/(-1*sqrt(9)*-2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i - 58 = -826. What is the lowest common multiple of i and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (62\/3)\/(2\/(-6)). Let k = f + 184\/3. Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -8*u. Let v(d) = -d - 1. Suppose 6*t = -7*t - 130. Let h(y) = t*v(y) + g(y). Determine h(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5748 > -1\/457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -5*i**4\/12 + 5*i**3\/2 - 5*i**2 + 11*i. Factor b(h).\nAnswer: -5*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 861946786 to the power of 1\/2, to the nearest integer?\nAnswer: 29359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03895892196 to five decimal places.\nAnswer: 0.03896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 + 10*s**2 - 6*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 334161, 334141, 334135, 334149, 334189?\n\"Answer: r**3 + r**2 - 30*r + 334189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-40 - -16) - (0 + (5 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 8. Let n(m) = 7*m - 3. Let g be n(1). What is the third derivative of z*q**6 + 4*q**4 - q**2 - 4*q**g + 2*q**2 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9399 + -9460.33. Let z = g + 1.33. Let j = z + 60.1. Sort 1\/6, -3\/8, j in increasing order.\nAnswer: -3\/8, j, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/56743374 and -53\/151315664.\nAnswer: 453946992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 209322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 362555646 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7027481 to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 21919445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**2 - 13*o + 1. Let v(z) = 7*z**2 - 27*z + 2. Let q(t) = 9*d(t) - 4*v(t). Let g(a) = -a. Let i(l) = 4*g(l) - q(l). Calculate i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 764385 (base 9) in base 15?\nAnswer: 90165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + (-4*5\/(-80))\/((-14)\/112). Put 3, -5, -3, -35, m in ascending order.\nAnswer: -35, -5, -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10\/3, 141, -3\/2?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from {t: 3, v: 1, z: 5, p: 1, i: 2, f: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, q: 12}. Give prob of sequence qqr.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 36  (c) -92.7  (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62650, 125331, 188012, 250693, 313374?\nAnswer: 376055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/5 + 4 + 0 - -2) + -6. Is o >= 2\/3147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 14*g + 4. Suppose 19 = -m + 4*c - 0*c, -2*m = 4*c - 10. Calculate d(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 10, g + 3*g + 5*l = 217. Suppose p - 114 = -111. What is the greatest common divisor of p and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -21.27\nAnswer: -106.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 12*i**2 - 40*i + 12. List the prime factors of m(-4).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-1*(-2 + sqrt(7200)) + (sqrt(80)*2)\/sqrt(10)*4)**2.\nAnswer: -176*sqrt(2) + 3871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 10*h - 68. Let v be j(11). What are the prime factors of (21\/(v\/(-88)))\/(2\/570)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 13*v**2 - 3175*v + 820. Calculate n(244).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -6*k. Let g(h) = 2. Let w be 970\/(-90) + 2\/(-9). Let j(v) = -v - 11. Let r(a) = w*g(a) - 2*j(a). Calculate p(r(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23\/(-506)*-33)\/((-9)\/156).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*t = 1769, -5*n + 1348 + 7442 = -4*t. Suppose 4*q = 5*s - n, s + q = -0*q + 358. Suppose -8*z + 6*z + s = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 958035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(76) - sqrt(76)*-2) + sqrt(76))\/(sqrt(400)*2 + sqrt(400) + sqrt(400)).\nAnswer: -17*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**4 - 11018736*s**3 - 22037484*s**2 = 0. Calculate s.\nAnswer: -2, 0, 3672914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 813053349.\nAnswer: 3, 1783, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 54169915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 at least as big as 72527\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -315, -1851, -5481, -12093, -22575, -37815?\nAnswer: -58701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 8*k**2 + k + 10. Let p be m(5). Let n be (p\/25)\/(3*2\/(-45)). Calculate the greatest common divisor of n and 360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 1036 = -2*j - 1066, 2*v - 8*j - 150 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -1024?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/119, -2, -98, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 1 - (-18 - (36 - 86))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*v, 4*g + 3*v - 9673 - 12768 = 0. What are the prime factors of g?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -221 - -223. What is the nearest to -1\/5 in y, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -361313443781 from 0.02.\nAnswer: 361313443781.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 4*w - 44 = 0, -c - 6 - 3 = -4*w. Let q be 28*(c - 6) + (-4)\/(-2). Let h(t) = 30*t + 33*t**2 - q*t. Let r(x) = x. Give r(h(s)).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rdpn when four letters picked without replacement from prrnnpdpnprprdrpd?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**3 - 1 + 3 + 2*c**2 + 4*c**3 + (3167716 - 3167716 + 3366*c**2)*(-3*c + 6*c - 2*c).\nAnswer: 3368*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 255 and 16?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 4*o = -14, 2654*i + 3*o - 7 = 2656*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 13467 + 587 = -648*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l**2 + 0*l - 17*l**2 + 0*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 248887 (base 16) to base 9.\nAnswer: 4448254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) 13  (c) -1  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o - 18*o**3 - 6*o**3 - 7*o**3 - 4*o**2 + 32*o**3 + 2*o + 5 to w*o**2 + r*o**3 + m*o + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-50)\/20*12\/15*-4. Suppose 34*w - 32*w = k. Sort -5, w, -1, 3.\nAnswer: -5, -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 3*a**3 + 22*a**2 + 20*a - 24 = 0.\nAnswer: -6, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 7*r + 2*r + 70, 2*r - 123 = 5*z. Let p = -1 - z. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 2*z - 2. Let a be (-427)\/(-28) + 3\/(-12). Let p(y) = y**3 - 16*y**2 + 17*y - 2. Let q be p(a). Let d = 32 - q. What is h(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 415*b**2 - 271*b**2 - 146*b**2. Let j(a) be the third derivative of -a**5\/30 - 3*a**2. Determine g(j(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -0*k. Suppose -12 = 4*c, -3*d - 4*c + 27 = 6. Let u = d - 8. Solve k = u*p + p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**4\/3 - 4*d**3\/3 - 8*d**2\/3 + 4*d\/3 + 2 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(-2*(792\/1848 + ((-33)\/(-70) - 1)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 154 and 1540?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -158 in ascending order.\nAnswer: -158, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2517530023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 r when four letters picked without replacement from {r: 3, j: 2, b: 8, t: 4}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 28919 - 21901 = 0. Let o = v - -61117\/6. What is the common denominator of 405\/6*6\/(-20) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -5032*k. Let b(l) = l. Give b(q(n)).\nAnswer: -5032*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -156024.2 and 5?\nAnswer: 156029.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57 - 53. Suppose u = -a + 6, -4*u - a + 15 = -0*a. Suppose -u*d - 2*h = -h - 283, -2*h - j = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -1 + 80 + (-154 - -69).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, p: 1, l: 1, y: 1, x: 1}. Give prob of picking 1 y, 2 p, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, -0.052, -2\/21, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 25589.54 to the nearest one hundred.\nAnswer: 25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3560*n + 3554*n + 3559*n - 10679*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 127, 249, 367, 481?\n\"Answer: -2*y**2 + 128*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - (-72)\/(-34) - (-26046)\/306. Solve 2*i = 75 - q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 7 = 28. Let a be i + -3 - (3 + 0). Let b be (-3 - 0) + a*12. Do b and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 15 + 5*w - 12*w - 2*w**2 - 11*w + 5*w**2 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -15. Suppose 3*t = m*x + 24, 4*t + 10 - 34 = 4*x. What is the smallest common multiple of 3 and x\/4*40\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1740\/(-1595))\/((-78)\/(-33))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2688 by -3.\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 68*n - 106*n - 8 + 44 wrt n?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 304*a - 300*a + 17, 3*a - 2*j = 67 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3528 and 174048.\nAnswer: 522144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10175869?\nAnswer: 11, 925079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -2)*(6 + 17733\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1426154 - 76?\nAnswer: 1426056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1008)*5 - 5*(sqrt(1008) + (sqrt(1008) - (1*sqrt(1008) - sqrt(1008))))**2.\nAnswer: -20160 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 2. Suppose -c*p = 5*j + 8, 8*j - 3*j = 2*p + 22. List the prime factors of (-44)\/p + (-3)\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.124 + -0.97. Let c = a - -0.206. What is c rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 73 = -35. Suppose 16*u = c*u + 3224. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**2\/7 + 92307200*s\/7 + 1065077396480000\/7 = 0.\nAnswer: -23076800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2372408862.\nAnswer: 2, 3, 2971, 133087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 208151, 416305, 624459?\nAnswer: 832613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -269.\nAnswer: -134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3\/4)*k**(-1\/2)*k)\/(k**(-4)\/(k*k*k**3))*(k\/k**(5\/2)*k**(2\/3))\/(k**(-1\/2)*k\/((k\/k**(-5))\/k)*k) assuming k is positive.\nAnswer: k**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, g: 15}. What is prob of sequence gddg?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ns when two letters picked without replacement from nmhisiniiishishm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(56\/(-35))\/(12\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 1 - 7 = 0. Calculate the lowest common multiple of 6*1 - o\/(-3) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nbbbnbbnbbnnbbnn. What is prob of sequence nbn?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 246282376 to the power of 1\/2, to the nearest integer?\nAnswer: 15693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 6. What is the derivative of -2 - 2*d + n - 1 + 0 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 294*c - 287*c - 238. Solve -2*y = c*y + 180 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -9*l + 2. Let c(z) = 6 - 6 - 14*z - 2 + 5. What is 5*c(p) - 8*n(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**8\/20160 + i**7\/5040 + 17*i**6\/720 - i**5\/60 - 4*i**2. Let z(v) be the third derivative of k(v). Is z(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*p + 34*p + 34065. 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 45.12644 millimeters in micrometers?\nAnswer: 45126.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-5)*(-15)\/(-27)*6)\/(-7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 827436?\nAnswer: 1\/275812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*a - 80. Let j be (-2)\/10 + 84\/a. Sort 2, -4, j.\nAnswer: -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from kskkkkskkkks.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**4 - 147*o**3 + 423*o**2 - 418*o + 138. Let u(k) = -k. Let y(m) = p(m) - u(m). Let y(j) = 0. Calculate j.\nAnswer: 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j + 1274*j**2 + 5*j - 3*j - 2.\nAnswer: 1274*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1172661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -119  (c) 2  (d) -1\/4  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -6\/7*z + 2\/7*z**2 - 20\/7 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10283*i**3 + 6*i - 3 - 10281*i**3 + 7*i**2 - 4*i**4 + 2*i**4 to the form b*i**3 + h + a*i + z*i**2 + u*i**4 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76)\/(-20)*(3\/(-42) + 497\/98).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 17 - 38 + 22)*(-4 + 0 + 2)*(4 - 3 + 0).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**9\/1512 + g**5\/60 + g**3 - 5*g. Let u(m) be the second derivative of h(m). Find the second derivative of u(v) wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -118484*j*s - 232*j + 536690012*s with respect to j.\nAnswer: -118484*s - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7331852 divided by -4?\nAnswer: 1832963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-6*sqrt(68) + (sqrt(68) + -3*sqrt(68) + sqrt(68))*-4)\/(sqrt(128)\/sqrt(2) + sqrt(400)*3 + sqrt(4)).\nAnswer: -2*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -16.6.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07948218 times 13?\nAnswer: 1.03326834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ayuo when four letters picked without replacement from ahcchyaauuohay.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -328 + 320. List the prime factors of (n\/(-2))\/(4\/314).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 4*h + 3. Let k be w(3). Let g be 5 - (6\/3 + k). Solve -b = g*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -3*b - 16 - 11, 5*d - 45 = 5*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 496 and 41416?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -338415 divided by 6153?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**3 + 3*n**2 + n - 1. Let m(u) = -u**2 + 9*u - 10. Let i be m(7). Suppose -3*v = i + 2. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.004 + -6.996. Let r = 5.8 + k. Let c = -3.04 + 0.04. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1059816 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4680 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 {q: 5, y: 1, t: 4, a: 1, u: 1, j: 1}. What is prob of sequence uq?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 53\/4 of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 666957\nAnswer: 2\/666957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -0.9. Let m = 212.93 + -213. Let z be (11\/(-198))\/(-6*(-6)\/288). Which is the nearest to -2\/9?  (a) m  (b) g  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/(-2)*(-4 - (3 + -6)). Let x(f) = -f**2 + 5*f + 5. Give x(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g + 6378 + 19052 - 3*g + 25530 - 9382.\nAnswer: -2*g + 41578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1800570?\nAnswer: 2, 3, 5, 47, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3358 + -3356. Sort -0.4, 1, k, 135 in ascending order.\nAnswer: -0.4, 1, k, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1099422 and 3992076.\nAnswer: 411183828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 13, -0.16, -517?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 17*a**3 - 5*a**2 + 17*a + 106. Let c be g(-6). Let h = 587 - c. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.3 + -21. What is b rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -j**4\/24 + 4*j**3\/3 - 5*j**2 - 9*j. Let o(s) be the first derivative of y(s). Let b be o(8). Solve -2*g + b*g = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35*((-9)\/((-99)\/88) + 628\/(-80))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2. Let l(x) = 10*x + 7. Let v(z) = -3*z - 2. Let g(s) = 4*l(s) + 14*v(s). Determine p(g(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-56*g - 64*g + 85*g)*(-30 + 69 - 40 + 5*g).\nAnswer: -175*g**2 + 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 1\/3*f**3 + 3 + 0*f + 0*f**2. Let a(r) = -r + 1. Let i(z) = 36*z - 33. Let b(h) = -66*a(h) - 2*i(h). Determine b(n(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - j. Let w(m) = -m. What is w(z(l))?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 17829 = -3*f, 2*m + m + 23759 = 4*f. Let y = 47449\/8 - f. What is the common denominator of -27 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -8 - 24 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00009462 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/10 and 77\/6936?\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3921, 1, -86, -5 in descending order.\nAnswer: 1, -5, -86, -3921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 divided by -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2426b (base 13) to base 12.\nAnswer: 32481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 389 - 462.2. Let q = t + 73. What is the second smallest value in 2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -1075*k**4\/12 + 500*k**3\/3 - 4*k**2 - 3*k - 18. Differentiate v(n) wrt n.\nAnswer: -2150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*t + 87*t = 4462 + 14138 - 2430 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -1163*b - 89560. Determine j(-77).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(12\/6)\/(2\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1514015 (base 7) in base 9?\nAnswer: -342758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a + 16. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of f**4\/8 + 11*f**3\/2 - 21*f**2. Calculate the remainder when 25 is divided by n(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112011 (base 4) to base 6\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 729, 2845, 6337, 11199, 17425, 25009?\n\"Answer: -j**3 + 694*j**2 + 41*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - -7. What is the remainder when k is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(3\/7)*b)\/b)\/b**(1\/4))\/(b**(2\/7)\/(b*b*b**0*b)) assuming b is positive.\nAnswer: b**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 AM and 10:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -184, -172, -138, -70, 44?\n\"Answer: 2*v**3 - v**2 + v - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 16*h**2 + 6*h**2 - 4.\nAnswer: -10*h**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12665 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 1023*v - 2. Let r(q) = -3505*q. What is r(j(c))?\nAnswer: -3585615*c + 7010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -25309  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3165*j**4 + 2900*j**4 - 1917*j**4 + (4 - 2 - 1)*(0*j**2 + 0*j**2 + 2*j**4) to f*j + v*j**4 + t + z*j**2 + u*j**3 and give v.\nAnswer: 4150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 322*v**4 + 142601*v + 363028738?\nAnswer: 1288*v**3 + 142601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n**3 - 9*n**2 - 33*n - 72. Calculate the remainder when 1442 is divided by k(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 1. Let v(s) = -3*s + 4. Let g(x) = -x + 1. Let n(p) = 2*g(p) - v(p). What is 5*c(i) + 2*n(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3353 by -75185.\nAnswer: -3353\/75185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + f - 32 = 0, 4*f + 64 = 4*c - 96. Suppose -4*o - 160 = -14*o. Calculate the smallest common multiple of o and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-140))\/((-2)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3157, 3156, 3155, 3154, 3153, 3152?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5264 (base 10) in base 6?\nAnswer: -40212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-11 - -11)\/(-1))\/(-1 - 1). Solve -p + 0*k = -k, n = -5*p - 4*k - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s - 1. Let h be m(-3). Suppose 5*i + y = -h, -3*i + 5*y = 3*y - 4. Let g(l) = l - 2. Give g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 172, 621, 1500, 2953, 5124, 8157, 12196?\nAnswer: 17385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11579227.\nAnswer: 11, 17, 19, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**4 + 140*b**3 + 340*b**2 - 1200*b.\nAnswer: -5*b*(b - 30)*(b - 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 603155 is divided by 4345.\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l**2 - 338*l - 50. Let p(u) = 2*u. Give p(w(c)).\nAnswer: -4*c**2 - 676*c - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 19642  (b) -4  (c) 5  (d) 5\/4  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 481 and 999.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 723041 and 0.5.\nAnswer: 361520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -33.1, 0, -98\/5637?\nAnswer: -98\/5637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 67 = 11. Let o = -14 - h. Let j be o*(-4 - 36\/(-8)). Let t(g) = g + 10. Give t(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3\/7)*j*(j\/j**(2\/9))\/j*j*j)\/(j\/((j*j\/j**(-3\/5))\/j)*j*j**(-2\/15)) assuming j is positive.\nAnswer: j**(656\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3342 + 1988 - 2*a + 1104 + 967 - 1252 in the form g + i*a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1494)\/(-2574) + 6\/(-22). Which is the second biggest value?  (a) 0.3  (b) h  (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 820618 or 820614?\nAnswer: 820614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t - 1. Let b be n(7). Let v be (1\/b)\/(2\/8). Let i be 7\/(-14) - 1\/(-6). What is the closest to v in i, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24589, -49071, -73443, -97705, -121857, -145899, -169831?\nAnswer: -193653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbqqfqbbbbbfff. What is prob of picking 1 f, 1 q, and 2 b?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 322211032 (base 4) in base 11?\nAnswer: 154307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhbhhqbjjkhks. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -12074.995 to the nearest one hundred.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (22 - 4*d**2 - 22)*(-13*d**2 + 4*d**2 + 34*d + 11*d**2) as i*d**2 + g*d**4 + m*d**3 + s*d + f and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xww when three letters picked without replacement from xcxwwwccwqwa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2346)\/51*20\/(-20).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1052*j**2 - 1055*j**2 + 3153*j**2 - 1058*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 80*v**2. Let z(w) be the third derivative of -w**7\/1680 - 77*w**5\/60 + w**3\/6 + 71*w**2. Let o(h) be the third derivative of z(h). Give y(o(m)).\nAnswer: 720*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2 = -10. Let m(g) = -6 + a*g + 1 - 3*g**2 + 2*g. Let u(k) = 10*k**2 - 12*k + 16. Let x(p) = 16*m(p) + 5*u(p). Factor x(n).\nAnswer: 2*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -173833.7 to the nearest one hundred.\nAnswer: -173800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 745.058 - 0.058. Let x = w + -680.4. Let z = x + -65. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 103, 2, 10, 4 in decreasing order.\nAnswer: 103, 10, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 - -350 - -2*(-33)\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 46*u**3 - 3*u**2 + 253 - 127 - 7*u**4 - 126 as m*u**4 + i + s*u + y*u**2 + q*u**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/2)\/(8\/64). Let b be ((-3)\/q)\/((-3)\/(-24)). Solve 2*x + x + b*c = -16, -4*c - 4 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 342 and 6346.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 3*n + 16 = 0, -127*n = -c - 130*n - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 204 = 2*f. Calculate the remainder when f is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.034*4.7\nAnswer: 0.1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -7*f - 44. Suppose -4*v - f*l + 2*l = -2984, -2*l + 8 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 265\/19 + -543\/152. Find the common denominator of s and 83\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1350.3194 - 1351. Round z to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 27980, -12.\nAnswer: -12, 6, 27980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/6*(-6)\/(-2). Let j = -36 + 27.4. Let d = 6.6 + j. Sort h, d, -0.5.\nAnswer: d, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -195*r + 19. Let p(f) = 486*f - 48. Let o(n) = 5*p(n) + 12*z(n). Find the first derivative of o(m) wrt m.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 649942867.\nAnswer: 7, 29, 3201689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is c5 (base 15) in base 12?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 11*u**6\/120 - 2*u**5\/15 - 8*u**2 + 3*u. Let o(z) be the first derivative of v(z). Find the third derivative of o(c) wrt c.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 17. Let n(d) = 5*d - 9. What is the units digit of n(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5414264 divided by -292.\nAnswer: -18542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of d**4\/12 + 11*d**3\/6 - 3*d**2. Let g be o(-3). Let b(u) = u**2 + 4*u + 3. Let a be b(-4). Sort -1, a, g in ascending order.\nAnswer: -1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 12) + (-1938)\/(-190).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1012 - 32351\/32. Calculate the common denominator of -61\/32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 221946365?\nAnswer: 5, 61, 359, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/19 + 91290*t\/19 + 274212.\nAnswer: -2*(t - 45702)*(t + 57)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 8*a + 5. Let b be a - 4 - (-9 + -6). Which is smaller: 66\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2471, 4872, 7241, 9590, 11931, 14276, 16637?\n\"Answer: 2*j**3 - 28*j**2 + 2471*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*h - 35*h - t = 31*h + 227, -h = 3*t - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 36*j + 60.\nAnswer: 3*(j - 10)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -72, 4, -6, 14, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4*u**2 + 2*u - 6. Let y be m(2). Let b be (y\/(-8))\/((-12)\/(-16)). Suppose 1015 = 5*a + 5*v, -v + b*v + 218 = a. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r + 6. Let u(v) = -v + 4. Let y be u(8). Let i be f(y). Let d(o) = o**3 + 6*o**2 + 3. Let s be d(i). Put 0, 4, s in ascending order.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.5, -1\/7, 1\/4, -1 in decreasing order.\nAnswer: 0.5, 1\/4, -1\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 961, 945, 911, 853, 765?\n\"Answer: -r**3 - 3*r**2 + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (11 - 21) + 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 91\/(-17654)*-194*(-3)\/(3\/70)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -15*k**2 + 4026*k - 1814. Determine x(268).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 687050 to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 14) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-6))\/((-1)\/2). Let s(x) = -6*x + 0 + 3*x - 3. Let d be s(-1). Put d, b, 4 in ascending order.\nAnswer: d, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318065 is divided by 318053?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 174 times 148775?\nAnswer: 25886850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10267285 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhihi. What is prob of sequence iihh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-2))\/((-2)\/(-16)*6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4942412790.\nAnswer: 2, 3, 5, 7, 1621, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 52 = -5*w. Let u be (0 + -1)*-4 + 3. Let p = w - u. Let b(r) = -2*r + 7. Determine b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 3*x**3 - 187*x**2 + 31*x + 1920. Determine t(62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -5*p - 8. Let j be u(0). Calculate the remainder when 160 is divided by j\/((-32)\/162) + (-1)\/(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 852022?\nAnswer: 2, 426011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 0.05  (c) -7  (d) 0.6  (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 31  (b) 3\/13  (c) 0  (d) 0.3  (e) 18  (f) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -d - 2. Factor 0*y**2 - 4*y**2 + y**3 - d + 5*y - 9*y - 7*y.\nAnswer: (y - 6)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w**2 - 4*w**2 + 5*w + w + 6*w + 13. Let a be b(-11). Sort -2, 0, a in increasing order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/1799 and 10\/776911.\nAnswer: 5438377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -29.4 * 0.0635\nAnswer: -1.8669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {d: 3, e: 4, q: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**3 + 804*k**2 + 1614*k + 808 = 0. Calculate k.\nAnswer: -1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 17672.31 to the nearest 10.\nAnswer: 17670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 5, -0.5, -7176 in descending order.\nAnswer: 17, 5, -0.5, -7176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1880 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/4*8\/(-10). Suppose -7 = -g - k, -2*k + k = -o. Suppose 0*j = -j + 35. What is the greatest common factor of g and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9099*a + 33444 = -10028*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6251 + 6248. Let z(v) = 8*v + 31. Give z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(4200) - sqrt(4200))\/((sqrt(162)\/sqrt(3) + sqrt(54))\/sqrt(9) + sqrt(6) + sqrt(6)) + ((1*sqrt(252))**2 + -4)*3.\nAnswer: -15*sqrt(7)\/2 + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 65619.46 decades in millennia?\nAnswer: 656.1946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -157 (base 12) to base 4.\nAnswer: -3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 11*l + 64. Is m(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 17. Let t = 2 - g. Calculate the remainder when 34 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4396*n**2 - 6515*n**2 + 2121*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317594583?\nAnswer: 3, 5737, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -110253.8 to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - (-9)\/24)*(-12)\/7101. Let k = n + 21305\/3156. Calculate the common denominator of -77\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -46979\/3192 at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -65*g + 71*g + 16, -3*g = -3*a + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 5762.024 years?\nAnswer: 57.62024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**3 - q**2 - q. Let j(d) = 11*d**3 + 402*d**2 - 6*d + 2. Calculate -6*c(k) + j(k).\nAnswer: -k**3 + 408*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 8*r - 7. Let i be z(7). Let s = i + 30. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-108)\/405)\/(2\/(-9)). What is the closest to 1\/3 in -1\/6, -3, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -11*y - 47. Let n = 10133 - 10141. Give s(n).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 6) + (9 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by (-4 - -38)*(-4)\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f. Let k(l) be the first derivative of -32 + 4\/3*l**5 + l**2 + 0*l**4 + 0*l**3 + 0*l. Let w(h) be the second derivative of k(h). What is d(w(o))?\nAnswer: 160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 11:11 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11961 by 3.\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.33 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2944465 - -747.8.\nAnswer: -2943717.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 6 - 132. Let l = -26 + z. Calculate the remainder when l is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3553031 (base 6) to base 12\nAnswer: 8b777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1448 - -2782. What is the greatest common divisor of 58 and a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-6))\/(((-72)\/81)\/4). Let o be (5 - (-3 - -2)) + (-9)\/p. Solve 5*m + 5 - 20 = 3*w, o*w - 15 = -5*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 139180?\nAnswer: 1530980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f**3*z**3 - 21*f**3*z + 13*f**3 - f**2*z**3 - 19*f*z**2 wrt z.\nAnswer: 42*f**3*z - 6*f**2*z - 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35374*b**2 - 26249*b?\nAnswer: 70748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**2 - 83. Determine r(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-4) + 242*9\/36. What is the greatest common divisor of 2 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4614*p - 4614*p - 183*p**2 to d*p**2 + m*p + r and give d.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3178761213 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5949*t + 47584. What is j(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*2\/((((-5)\/(-2))\/5)\/(66\/(-264)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11014?\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**3 + 6580*y**2 + 423820*y + 4630080 = 0.\nAnswer: -48, -14, 1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 10*l - 7. Let p be t(-10). Let v = p + 11. Suppose v*d - 39 = 101. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 198\/24 - 1\/4. Let j = h - -6. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -9. Suppose 4*y = 5*x + 6, -x + 2*y - y = 1. Let s(k) = k + 3. Let a be s(x). Solve -i - a = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4621278 + 37.6.\nAnswer: -4621240.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 446 (base 16) to base 6.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (16728\/7667)\/((-28)\/1155)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zmez when four letters picked without replacement from ezmemzmz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 55*s - 7 - 121*s + 3*s**3 + s**2 + 63*s. Does 18 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 237*y**3 + y**2. Let n be a(1). Find the common denominator of (-4)\/(-28)*-3 - 515\/154 and n\/24 - (1 + 2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 392921368?\nAnswer: 2, 7, 19, 41, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -11, -41, -91, -167, -275?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + -2*sqrt(70)*-4 + sqrt(70))\/sqrt(10).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -f**2*n - 145*f*n**3 - 564*n**3 wrt f.\nAnswer: -2*f*n - 145*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 0.00188\nAnswer: -5.00188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1663 equal to 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - 1. Let a be (4\/(-6))\/(1\/v). Let z be (a + -2)\/(-4) - -16. Solve z = -4*y + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**2*o**3 + 14*a**2 + 2183*a - 631*o**4 + 2 wrt o?\nAnswer: 3*a**2*o**2 - 2524*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i**2 + i + 1. Let j(c) = -c + 1. What is -b(w) - 2*j(w)?\nAnswer: -3*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and (-36)\/(-2)*2\/4?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -574 + -2816214\nAnswer: -2816788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -73  (b) -0.5  (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10473*x**3 - 182*x + 36 wrt x.\nAnswer: -62838*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 953903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 67 = -3*h, -1808*h + 1808*h = 4*m + 64 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -114*0.8\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 4*q + 13. Let x(b) be the second derivative of -b**3\/6 + b**2\/2 + 13*b. Let h(o) = 4*j(o) - 36*x(o). Determine p so that h(p) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -532?  (a) 3\/2  (b) 32\/9  (c) 0.5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1351592314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 12*h**2 + 6*h - 12. Is d(9) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -5  (c) 13  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -166*s**2\/3 - 1498*s\/3 - 12.\nAnswer: -2*(s + 9)*(83*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2134 - 4359\/2. Calculate the common denominator of o and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 531442 or 5845863\/11?\nAnswer: 5845863\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1535 (base 12) to base 7\nAnswer: 10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00302075251 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -143 in 4, -3, 1164, -1\/4, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of b**4\/2 + 13*b**3\/3 - 5*b**2\/2 - 3*b - 14424. What is q(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16316, 65140, 146498, 260378, 406768, 585656?\nAnswer: 797030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 5*h - h)*(10 + 3 - 6) + 0 + 0 - 2*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 111 - 112. Let k be t\/(64\/(-12) - -5). Solve 2*n = 1 + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 20*k + 8. What is the units digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1876229 to the power of 1\/2, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 14*w**4 - 4*w**3 - 9*w**2 + 4*w + 4. Let m(u) = u**3 + u**2 - u - 1. Let h(v) = i(v) + 4*m(v). What is the third derivative of h(d) wrt d?\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2590 or -2137?\nAnswer: -2137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, -102, -2\/27, -5\/2, 17, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -143*b**4 - 48*b**3 + b**2 + 34*b + 342.\nAnswer: -1716*b**2 - 288*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1122299, 2244438, 3366563, 4488668, 5610747, 6732794, 7854803?\nAnswer: 8976768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*d*l**5 - 74*d*l**3 - d*l**2 + l**5 - 16*l**2 - l + 1 wrt l?\nAnswer: 180*d*l**2 - 444*d + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 5*o - 2*o**2 + 0*o**2 + 3*o**2 + 3. What is the units digit of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*w - 899 + 1322 = -5787 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -165 - -168. Sort t, -31, 0 in decreasing order.\nAnswer: t, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2*(sqrt(1900) + -1 + 3))*2.\nAnswer: 6 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 14  (b) -14.7  (c) -57  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + x - 2 = 0. Let i be -3 - -6*x\/(-2). Which is greater: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8 or 361\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g*(g*g*g**0\/g)\/g))\/g)\/g*g**6\/g*(g\/(g**(-1\/2)*g))**(-9\/4))\/(g**(-2\/7)\/(g*g\/(g*(g**5*g*g)\/g))*g**7*g**(-5)) assuming g is positive.\nAnswer: g**(-271\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from fwwhwmwhx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 5.9951. Round m to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -24 + 7 + 1 + 17 + -129?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 460116 + 2?\nAnswer: 460118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 58168 - 31900. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. Let x(p) = -1 + 2*p**3 + 11 + 10*p**q - p**3. Does 4 divide x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 450\/(-1170) + 26\/507\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -746*b**2 + 389*b**2 + 368*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5165?\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -156*t + 159*t + 0*t**2 + 3*t**2. Let n(z) = 6*z**2 + 5*z. Let u(h) = 5*d(h) - 3*n(h). Let b(k) = -5*k**2. Determine b(u(o)).\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1516591 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 218767 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (124 - 114 - -4)*((-4)\/18)\/2?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 18.4, -7, 4, 40, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 409660.9 decades?\nAnswer: 4096609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -238, -202, -166, -130?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by -2992\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 41 - 10) + -12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 6 + 21 = 0. Let h(k) = k + 1. Let t(x) = 4*x + 3. Let u(n) = -6*h(n) + t(n). Let v be u(s). Solve v*r = 2*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2651416.\nAnswer: 2, 157, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 250.76 - 5.666. Let b = 245 - m. Round b to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(468) + -1)**2 + 0.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -9860\nAnswer: 3\/9860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 + 5*z + 27. Let r(n) = -3*n**2 + 7*n + 41. Let q(f) = -7*d(f) + 5*r(f). Find the first derivative of q(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -15, -m + 4*c = -0*m + 2. Calculate the greatest common factor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2456 and 22074528.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 909426*g**6*k + 8*g**3*k + 762*g**2*k + 5*g*k - 974*k wrt g.\nAnswer: 109131120*g**3*k + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 2*w + 3 = 0, -q - 2*w - 2 = 5. Let o be (0 + 0 + -12)\/(4\/(-3)). What is the first derivative of q - 9*x + o + 19*x wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**4\/42 + 2*l**3\/21 + 14*l. Let y(m) = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 386816706103 - 0.5.\nAnswer: 386816706102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z. Let b(f) = -f**2 + 4*f. Suppose -11*d - 53 + 31 = 0. Let c(g) = d*y(g) + b(g). Let s(x) = 91*x**2. What is s(c(j))?\nAnswer: 91*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573)*-2)**2 + sqrt(1573) + (sqrt(130) - sqrt(130)*2 - sqrt(130))\/sqrt(10).\nAnswer: 9*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -218.081 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 29*t + 49. What is s(29)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162.462 nanometers to centimeters.\nAnswer: 0.0000162462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkkkkkgkkkkkkkk. Give prob of picking 1 g and 1 k.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x - 77 = 0. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27608 + 27675 + (-24 - (-4 + 2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -202?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-5)\/((y\/y**(-4))\/y)*(y**(-2\/15)*y)\/(y\/(y\/y**(-1\/5))) assuming y is positive.\nAnswer: y**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 693 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 183480 and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 180 + -173. Calculate the remainder when 53 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 5*s**2 - 6 - 1 - 4 + 0.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 258.92 - 259.057656. Let c = h - -0.138. What is c rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287148835 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2.6 * -16.063\nAnswer: 41.7638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*j - 11*j - 12. Suppose -b = 3*l - 5, -5*l + 14*b - 15*b = -7. Sort j, l, -2 in decreasing order.\nAnswer: j, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -368*j**2 - 47*j**3 + 47*j**3 - 86*j**6 wrt j.\nAnswer: -10320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + sqrt(468)*3 + sqrt(13) - (sqrt(832) - (sqrt(832) - sqrt(832)*1))**2.\nAnswer: -832 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -17*r**3\/3 - 10*r**2 - r + 48. What is the second derivative of d(j) wrt j?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-187)\/102)\/(3*(-4)\/18)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 10. Let a(x) = -3*x + 1. Let n be a(7). Let q be ((-14)\/10 - -1)\/((-1)\/n). Let v be c(q). Solve -2 = 3*m - v*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + 4*w**2 + 4*w + 3. Let j be z(-2). Calculate the greatest common divisor of 24 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**2\/3 - 5876*t\/3 + 65120\/3 = 0. What is t?\nAnswer: -1480, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xrrrrrrx. What is prob of picking 4 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -25*a - 296. Let f be n(-12). Let b(y) = -83*y - 3. Let k be b(-3). Suppose -f*v = -414 - k. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 3*d**2 - 2*d - 4. Let s be b(3). Let x = s - -14. Let c = 5 + -3. Solve -c*r - x*v = -2, 2*v - 6*v - 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 4*w**5 + 622772*w**4 - 622784*w**3 - 1245552*w**2 = 0.\nAnswer: -155694, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 499 + -454.2. Let k = a - 45. Let z(q) = 2*q**2 - q. Let j be z(1). What is the nearest to k in j, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15 + -105121?\nAnswer: -105102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*4*2\/136. Let j be (-12)\/5 + 4\/10. Let m be 84\/22 + -2 + j. Put 1\/4, m, k in ascending order.\nAnswer: m, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 39*b + 130. Let c(l) = 2. Let x be 17\/(102\/12) + -20. Let d(r) = x*c(r) + 2*i(r). Find the first derivative of d(q) wrt q.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41+-12169026.95\nAnswer: -12169067.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 747017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 = -2*w + 3*o, w + 2*o = -243 + 401. Put -1, w, 5 in increasing order.\nAnswer: -1, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 14*b**2 + 13*b + 5. Let z be d(-13). Let w(a) = -z - 10*a + 2*a + 9*a. Calculate w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -2\/131  (b) -2\/19  (c) 17862\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s = -8. What is the greatest common divisor of 18 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 97*h**2 + 11*h - 1048. Give m(97).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 38\/(-171) + (-101)\/(-9). Let q(o) = -2*o**2 - o**2 - u*o**2 - 3*o**2. Let f(x) = -2*x. Calculate q(f(d)).\nAnswer: -68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -93 - -93. Suppose j - 33 - 22 = u. Let k(o) = -3*o - 2. Let z(c) = 80*c + 55. Determine j*k(p) + 2*z(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 118 + -108. Suppose -30 = p*a - 0. Let l(u) = -u - 4. What is l(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1247121931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i**3 + 71*i**3 - 52*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15629.\nAnswer: 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2 + -4 + -1*sqrt(2299) + -3*3*sqrt(2299) + 0)**2.\nAnswer: 440*sqrt(19) + 229908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -126*q + 467. Let r(a) = 127*a - 474. Let n(t) = -2*r(t) - 3*v(t). Let o be n(9). What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-14) - (-68662)\/(-3556). Let h = f + 12\/127. What is the common denominator of h and ((-1)\/(-2))\/((-5)\/(-99))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ovauvavaaooaaa. Give prob of picking 2 a and 1 o.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/(-4) - (-2)\/8. Let b be 4\/30 + 172\/60 + 58. Let v = -61 + b. Sort n, -5, v in descending order.\nAnswer: n, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*-4399.\nAnswer: -57187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 10 = 6. Let j be ((-1)\/(-3))\/(3*p\/(-144)). Calculate the lowest common multiple of 68 and (-164)\/(-16) + 3\/j.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130 (base 5) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from uvvvpvnvpypv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -195 + 192. What is the second biggest value in 1\/3, i, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -12*y**4 - 5*y**3 + 5*y**2 + 5. Let l(z) = 13*z**4 + 6*z**3 - 6*z**2 + z - 6. Let x(o) = -6*g(o) - 5*l(o). Find the second derivative of x(k) wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2121201 (base 3) to base 15.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -8. Let m = t - -2. Let c(s) = -6*s - 1 - m + 6*s - s + s**2. What is c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 8238*a + 82475. Determine t(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/60)\/((16\/6)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(16)\/(sqrt(24)\/(sqrt(3) - (sqrt(3) - sqrt(30)\/sqrt(10)))).\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1200\/18 - (-2)\/6. Suppose -4*c - 2*i + 122 = 0, 0*i - d = -2*c + 5*i. Solve -2*p + 4*g + 5 = 1, 5*g + c = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21220101 (base 3) in base 9?\nAnswer: 7811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 7, k: 2, l: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -9, 2 in decreasing order.\nAnswer: 2, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-12\/7)\/((h\/(h**(-2\/49)*h))\/h))**(1\/21) assuming h is positive.\nAnswer: h**(-37\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -244.6 + 225. Let o = -23 - n. Let s = 3.434 + o. What is s rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**7\/105 + 7*s**5\/6 + 7*s**4\/6 + 91*s**2. What is the second derivative of a(x) wrt x?\nAnswer: -24*x**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x + 4191 + 8169. List the prime factors of x.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27720 and 36929970?\nAnswer: 147719880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of 2*o**3 - 1. Let p(d) be the third derivative of -d**4\/8 - 3*d**2 - 2*d - 259. Determine m(p(y)).\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 2*h - 4. Solve 4*z = 4 + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.089 - -1.089. Let h = -4.88 - 0.12. Sort h, -2, d in ascending order.\nAnswer: h, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzrrrrrzzrzrzzrzrr. Give prob of sequence zz.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242247931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence scee when four letters picked without replacement from {e: 2, s: 3, b: 1, c: 3, k: 9}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6681 - -6532. Suppose -g = -3*u - 456, 0*u = -4*u + 4*g - 616. Is u at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2479603?\nAnswer: 7, 17, 67, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3090.925 + -3057. Let c = f + -36. Round c to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**5\/35 - k**4\/28 - 9. Determine a, given that l(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -102\/313 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7, r: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 12  (c) 0.4  (d) -35  (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -797563*j + 797573*j = -680 for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -1671879, -1\/2 in descending order.\nAnswer: 0.1, -1\/2, -1671879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 712\/(-623) - (-41)\/(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (16 + 24 + -47).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -707021, -707015, -707009?\nAnswer: -707003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(468) + -4)**2 - (-5 + -2*sqrt(1300))) + 3.\nAnswer: 68*sqrt(13) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {f: 3, z: 1, d: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 - 6. Let i(z) = z - 1. Determine i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2988413293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-48 - (31 - 52)) + -8 + 22 - -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -178*d**3 - 13*d**3 - 1090*d - 1296*d - 31*d**3 + 2155*d wrt d?\nAnswer: -1332*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224932307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from hnnnbih.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05030596646 - -5939.\nAnswer: 5938.94969403354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 8:26 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -337 divided by 5495.\nAnswer: -337\/5495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -84.7 plus -15?\nAnswer: -99.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5*n - 25 = 49, 4*c - 381 = -3*n. Is 99 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 242. Find b such that 120*b**2 + 112*b**2 + 72 + b + 41*b - v*b**2 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yqyywyyysnywswnw?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53891 + -376297\/7. Let j = -134 + g. Which is the biggest value?  (a) -0.11  (b) -0.1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48601841 to the power of 1\/2, to the nearest integer?\nAnswer: 6972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve 44 + 4 = -12*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 24*v - 867. Let a be z(-44). What is the second smallest value in -2, a, -2\/21, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3205574 bigger than -3205570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - 3561150?\nAnswer: -3561142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and 75400574.\nAnswer: 75400573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) -0.4  (c) -0.5  (d) 11\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -10  (b) -21.9  (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 5*d**2 - 2. Let f be k(-5). Let b(t) = 4*t**2 + 3*t. Give b(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29575 is divided by 510.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*l - 5*h + 127, l + 5*h + 1 = 0. Let f be (-2 + (-3)\/2)*13\/l. Factor -5\/2 + f*r - 1\/4*r**2.\nAnswer: -(r - 5)*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 9 = -5*l, 8*l - 18 = -2*a + 6*l. Solve 14 = -r - a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - g + 4. Let z(m) = -4*m**2 + m + 1. Let o be 4\/(-2) + (4 - 3). Let a be z(o). What are the prime factors of v(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/224448 and -151\/6.\nAnswer: 224448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95332348 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 206.99999907 - 207. Round x to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-868)\/16*20*(10 + (6 - 2248\/140)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*t**2 + 3*t**2 - 4*t**3 - t**2 + 6*t**3.\nAnswer: 2*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5543.84 and 1.\nAnswer: -5543.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 + 0)*12\/(-10). Let v(s) = 12*s**2 + 2*s - 11. Let t(q) = -6*q**2 - q + 6. Let p(n) = a*v(n) - 11*t(n). What is the second derivative of p(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3082\/(-1443) + 5796\/2691.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**4\/11 + 51*t**3\/11 + 399*t**2\/11 - 41*t = 0 for t.\nAnswer: -41, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 258 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037931 to the power of 1\/2, to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00471177255 rounded to 6 decimal places?\nAnswer: 0.004712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 2*y + 8, 5*m + 22 = -3*y - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 5:12 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + sqrt(125)*-2 + -3))**2*3.\nAnswer: 180*sqrt(5) + 1527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80001, 160002, 240003, 320004, 400005, 480006?\nAnswer: 560007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/65*12\/24*2\/(-2).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/3)\/(2\/(-42)). Let a = t - -25. Solve 20 = a*v + 2*k, -2*v + 4*v = 3*k + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1448007 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 3*c - b + 1, 6 = -2*b. Suppose -3 - 9 = -c*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -613 = 3*u + 803. Let l = u + 484. Calculate the remainder when 52 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 296623175 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 205 - 117. Let p be 50\/n + 4\/22. Which is the second biggest value?  (a) 0.2  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 1\/58  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10608 and 125954088?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 895 or 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 532 and 2489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1172 a factor of 112062006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 176 + -268. Let h = t + 136. Which is bigger: h or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 5*y**4\/24 - 5*y**3\/6 + 26*y**2. Let v(m) = -6*m + 6. What is -4*h(u) - 3*v(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5 + -4.5. Let r = 3.93 + h. Let o = 0.27 + r. Is -6 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -1, 181, 2\/3 in descending order.\nAnswer: 181, 2\/3, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -6*j**3 - 5*j + 5. Let l(v) = 24 - 16*v - 23*v**3 - v**3 - 8*v - 6*v**3. Let u be 29*3\/(-3) - 5\/(-1). Give u*a(y) + 5*l(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 356648 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**0)**(1\/18)*(y**(1\/5)\/y)\/(y\/(y*y*y\/(y*y\/y**(3\/2))*y)))\/(y\/(y\/y**0*y)*y\/(y\/(y*(y\/(y*y**(-2\/15)))\/y*y))*(y**(2\/5))**(-5\/2)) assuming y is positive.\nAnswer: y**(118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2. Let m(g) = 21*g + 1751. Give m(t(z)).\nAnswer: -42*z**2 + 1751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from {k: 2, x: 5, l: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4718*s**3 - 2358*s**3 - 2355*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 66*j + 3543 - 3543 in the form r*j + x and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16310 - 16304. Solve -1463*b = -1466*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 5*a - 2, 0 = x + a - 6*a - 14. Let v be 29\/3 + 14\/(-21). Let q = v + -6. Solve -x*r + q*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = t - 11, -4*t = 2*z - 8*t - 40. Let y be z*4\/(-190) + 82\/(-779). Sort -5, y, -1 in ascending order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from pppyyuypypyyppp.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -1 - 1, -3*t = 3*i - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12\/38717 - 5669091\/71974903. Let s = -2250\/38363 - -16\/227. Let c = t - s. What is the second smallest value in c, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -4*i + 30 + 15, 39 = 3*b + 2*i. Let f = 15 - b. Suppose -5*z - v = 186, 0*z + 54 = -z + f*v. What is z rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + -3.9946\nAnswer: -4.0946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222 + 121120211101000?\nAnswer: 121120211101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 + 86456*y + 467164996.\nAnswer: 4*(y + 10807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.33569 litres to millilitres.\nAnswer: 92335.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 3*m**2 + 3*m**2 - 581072869*m + 581072869*m - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-26)*y*y\/(y**(8\/3)\/y)*y**(2\/29)*y**(-23) assuming y is positive.\nAnswer: y**(-4228\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**2 - 10060*v + 300000 = 0.\nAnswer: 30, 5000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 179\/((3\/1)\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -2) + -6 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -586002414496 and -0.19.\nAnswer: -586002414496.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nhmwkhhnnm. What is prob of picking 2 m and 1 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-8)*(y**(-2\/7)*y*y)\/y*y\/(y**(6\/11)*y*y)*(y*(y*y**(1\/7))\/y)\/y assuming y is positive.\nAnswer: y**(-669\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 5 = 0, -37419 - 37449 = -3*l + 3*p - 74919 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + 17*i + 2. Let t be a(17). Determine r, given that -r + 8*r + 2*r**2 + 2*r**3 + t*r**2 - 5*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 178508, 178642, 178780, 178928, 179092?\n\"Answer: j**3 - 4*j**2 + 139*j + 178372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/18 + 41\/369\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 760564*v**4 + 191728*v?\nAnswer: 9126768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -1 + 1 + 1. Let f(q) = -q - 16. Let h(m) = 5*m + 89. Let c(w) = 11*f(w) + 2*h(w). What is -2*c(g) + 3*n(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*r**3 - 71*r**3 - 75*r**3 - 70*r**3 + 273*r**3 + 4*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1142, -1997, -2866, -3755, -4670, -5617, -6602?\n\"Answer: -y**3 - y**2 - 845*y - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198 = -3*l + 25*l. Suppose 0 = -3*r, r = 6*f - l*f + 756. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1834236 + 421873471\/230. Let y = -415270\/23 + 18049. Let r = i - y. What is the common denominator of 59\/3 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33551648 divided by 322612.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3297682.\nAnswer: 2, 127, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 15*i**2 + 29*i + 6. Suppose 0 = -k - 4*t + 7 + 1, -t + 15 = -3*k. What is the units digit of n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167\/2059 - 136805\/1334232. Calculate the common denominator of k and -109\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**3 - 2*c**3 - 3*c**3)*(-2*c**2 + 2*c**2 + 2*c**2) - 349*c**5 + 110*c**5 - 250*c**5.\nAnswer: -505*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 208*n**3*r**2 + 51581*n**2*r**2 + 27044835*r**2 wrt n?\nAnswer: 624*n**2*r**2 + 103162*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 18581487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, z: 1, u: 1, b: 5}. Give prob of sequence uj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-33112029.\nAnswer: 33112029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 77 = 76 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*l + 11*l + 13*l)*(-2*l - 2*l + 2*l).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(-20)*(464\/336 - (-4)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 3*c + 3*q - 55, 75 = 5*c + 5*q. Calculate the remainder when 76 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1183367 (base 10) to base 14.\nAnswer: -22b383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 584910 divided by -67?\nAnswer: -8730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7342888 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11832187027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*r + 2 = 35*r + u, 0 = 2*r + 5*u - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 3 + -1*sqrt(847))**2 - (3*(0 + sqrt(847)) - (1 + sqrt(847) + 1))**2.\nAnswer: -2520 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**7\/210 + o**6\/40 + o**5\/20 + o**4\/24 + 630*o**2. Determine c, given that y(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-4))\/(w**(-9)*w))**2\/(w**(2\/21)\/w*w\/w**(1\/2)*(w*(w\/w**1)\/w)**(-26)) assuming w is positive.\nAnswer: w**(437\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -4*u - 68, 0*m - 28 = 2*m + 2*u. Let p(z) = z + 6. Let v be p(-9). Let r be (-14)\/(-8) + v\/m. Solve -r*f - 5*s - 19 = -1, 2*s + 5 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1088) + 2 + -3)**2.\nAnswer: -48*sqrt(17) + 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {w: 2, d: 4, z: 10}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 87064482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {h: 8, s: 2, g: 1, d: 5, t: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -1. Suppose -h = -x*h. Suppose -n + 2 = f + f, h = 3*n - 2*f - 46. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65249.2 plus 362840392?\nAnswer: 362905641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-7) + 94\/14. Let a(y) = -y + 8. Let x be a(n). Calculate the remainder when 4 is divided by (1 - (-3 - -2))*x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*b**3 + 45*b**3 - 118*b**3 + 39*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/75402 and -43\/5112.\nAnswer: 301608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4*y + 2. Suppose 4*o + o + q = 20, 0 = -o + 3*q - 12. Let a be -4 + o\/(-1 + 4). Calculate the remainder when 53 is divided by b(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -133 - 148*t**3 + 48 + 84 as f*t + y*t**2 + d*t**3 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 5*r - 5. Let a be b(-6). Let i = -5523 - -33211\/6. Find the common denominator of i and (a - 2)*(-31)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 1462624.\nAnswer: 13163616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -95*f**5 + 80*f**4 + 780979*f**2.\nAnswer: -5700*f**2 + 1920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*t + 3. Let p be 1*t\/(-4)*-1. Suppose 2*w - 5*n + 6 - p = 0, 3*w + n = 1. Solve 2*i - 2*q = 5*i - 19, -i - q + 8 = w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 12*t**2. Let n(r) = -7*r - 5*r + 14*r. Determine n(l(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18597 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -4*p + 148, j + 1916 = -5*p + 3809 - 1936 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 208843461*f**5 - 13*f**2 - 17*f + 41653 wrt f.\nAnswer: 12530607660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 6*t - 12 = 2*w, -30 = 4*t - 7*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 614970 and 10890?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/35?  (a) 3  (b) 1.2  (c) 3\/8  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/110)\/((42 - 36)\/(-120))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) + (-506)\/(-10). Let j = -326 + 331. Let x = i - j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 693 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**3\/2 + 3*s. Let g(w) = -w + 5. Let a(y) = 3 + 0 - 2 - 2. Let c(j) = 5*a(j) + g(j). Give z(c(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 0 + (-9 + -25 - (18 - -37)) + -9?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 569621818.\nAnswer: 2, 23, 12383083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.62592 minus -0.9659?\nAnswer: 0.33998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -14*s - 31\/6*s**3 - 7*s**2 + 0. Is 15 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -i + 5, -3*i - i = 5*d - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 11  (c) -1  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 315\/6 - -1*(1 + -4). Let y = p + -1077\/22. Factor 6\/11*m**3 + 0 + 2\/11*m + 2\/11*m**4 + y*m**2.\nAnswer: 2*m*(m + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48598148 + 5*d**3 + 48598148.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 2*t - 5. Let d be a(0). Sort 20, d, 5 in increasing order.\nAnswer: d, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 57*z**2 + 162*z - 63. Determine j(54).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**3 + 13*q**2 - 23*q - 111. Let y be r(-7). Put y, -1, -2, -4, -7 in ascending order.\nAnswer: -7, -4, -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.8  (b) -2  (c) -3\/5  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2*f = m - 272, 0 = -5*f - 2*m - 327. Let u = f - -95. Calculate the remainder when 82 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/135 and -41\/81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4808256001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 6*m + 3938 = -7*m, 796 = k + 4*m. Let p = k - 323. What are the prime factors of p?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -52, -0.2, -136\/7 in decreasing order.\nAnswer: 0, -0.2, -136\/7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22.24 + 25.24. Which is the third smallest value?  (a) l  (b) -2  (c) -45\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l. What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1792799305 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -22220*f - 245076175 + 245076175 in the form s + w*f and give w.\nAnswer: -22220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*t + 2*t**2 - 4*t**2 - 2 + 93*t as v*t + d*t**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 457 = 4*k + 169. Let u = 42 - 24. Calculate the greatest common divisor of u and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 2 = -2*h, -2*h + 15 - 5 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -81 (base 16) to base 3\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -63 - 10?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 288 - 147. Suppose -r + 2*n = -0*n + 14, -4*r - 49 = -n. Is q\/2 + r\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4623, 5554, 8081, 13002, 21115?\nAnswer: 33218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - n - 5001, -3*n = -4*x - 5259 + 15264. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k - 2*k - 10*k)*(0 + 0 - k**3) + (-1 - 1 + 1)*(44*k**2 - 44*k**2 - 7*k**4).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1039a6 - -3e?\nAnswer: -103968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 335, 320, 287, 230, 143, 20?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x + 1. Let d be b(5). Find the second derivative of -2*i**4 + 20 + 32*i - d*i**2 - 20 wrt i.\nAnswer: -24*i**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 533749381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5, 16, 27, 32, 25, 0?\n\"Answer: -x**3 + 6*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and -21718390961?\nAnswer: 21718390960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y - 2*y + 5*y)*(1 - 1 + 4*y**2) + 10*y**3 + 8*y**3 - 2*y**3 in the form n + p*y**3 + d*y**2 + x*y and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*m**3 + 2*m**3 - 37365*m**2 + 37373*m**2 as o*m**3 + g + h*m + z*m**2 and give o.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - u + 6. Let a be y(0). Suppose -2*x + 5*x = a. Let r be 0 - (1 - (x - 0)). Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2161\/15 and 144 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(10\/9)\/((g\/(g*g*g**(-15)*g))\/g) assuming g is positive.\nAnswer: g**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17352, -69478, -156388, -278088, -434584, -625882, -851988?\nAnswer: -1112908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(2\/13)\/s*s*s**2*(s*s*s**(-5)*s)\/s**(-4))\/((s**1*s)\/(s**4*s))**(49\/4) assuming s is positive.\nAnswer: s**(2179\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 46412.4 litres?\nAnswer: 46412400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10373.97 rounded to the nearest 10?\nAnswer: -10370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5443 - z - 1749 - 3*z**2 - 1588 - 1790. Let n(y) = -2*y**2. Determine f(n(d)).\nAnswer: -12*d**4 + 2*d**2 + 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 22*k**2. Let r(x) = -2*x + 3. Let d(g) = 2*g - 2. Let c(s) = 3*d(s) + 2*r(s). What is n(c(j))?\nAnswer: 88*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, h: 7}. Give prob of sequence ii.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 105 and 1407?\nAnswer: 7035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.111 decades in years?\nAnswer: 601.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2*z)**35)**40\/(((((z*z\/(z*z*z**6\/z)*z)\/z)\/z)\/(z\/(z*z**(-7)\/z)))\/(z**(1\/3)*z**(-5\/3))) assuming z is positive.\nAnswer: z**(12638\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of 1\/2*x**3 + 1\/60*x**5 + 1\/12*x**4 - x**2 + 0*x + 0. Is d(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19682 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.692612611 to four decimal places.\nAnswer: -1.6926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1131 (base 5) in base 8?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v - 3*v - 7*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18810 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23496*l = 23605*l + 3052 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 2 - 8\/3*l**3 + 5\/12*l**4 - 32\/3*l**2 + 11*l - 1\/60*l**5. Factor z(w).\nAnswer: -(w - 8)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 35912 and 120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4.741889 - -0.404\nAnswer: -4.337889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*r**3*s + 1855*r**3 + 30425*s + 2 wrt r.\nAnswer: -21*r**2*s + 5565*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1214 + -1194. Let w be ((-9)\/6)\/((-6)\/(144\/b)). Find a such that 2\/5*a - a**4 + w*a**3 + 0 - 7\/5*a**2 + 1\/5*a**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195 = -12*f - f. Solve -u - f = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 21029448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*k - 4. Let r be (k - 0)\/(-2)*2\/2. Solve 6 = -2*z - r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 9*v**4\/4 + 7*v - 9. Find the first derivative of t(c) wrt c.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -1130a66?\nAnswer: -1130a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 251 and 250 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 139*m - 9. Let o be f(1). Suppose o = z - 3*s - 118, 5*z + 5*s - 1140 = 0. Suppose -z*j - 17068 = -237*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 248 + -232. Sort r, -3\/5, 5 in increasing order.\nAnswer: -3\/5, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*o - 3251 - 61435 + 55*o.\nAnswer: -2*o - 64686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 2)*(-s + 3*s - s) + 29*s - 14*s + 25*s + (6 - 1 + 2)*(-2*s + 6*s - 2*s) in the form t*s + l and give t.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29336 and 608.\nAnswer: 117344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -23963, -186 in decreasing order.\nAnswer: 3, -186, -23963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p. Let y(z) = z + 3. Let a be y(0). Let s = -1 - a. Let q be u(s). Solve -r = 1 - q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -33.25. Let s = 39 + -40.7. Let i = s + n. Round i to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6381, 5765, 4699, 3183?\n\"Answer: -225*a**2 + 59*a + 6547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {z: 3, l: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3.0629 * 1856\nAnswer: -5684.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*q = 44*q - 81*q - 682. Let h(s) = 2*s**3 - 13*s**2 + 10*s + 1. Let m be h(9). Calculate the greatest common factor of q and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66 - -42. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-370)\/(-22) + 2\/11. Let w(r) = 14*r + 23. Let t(m) = 8 + 4 - 4 + 7*m - 2*m. Give h*t(f) - 6*w(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 2*x + 29 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 7:31 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -17, 0.4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 95867909147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1559*v - 774*v - 49*v**4 - 28 - 782*v - 213*v**4 wrt v.\nAnswer: -3144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 110 = -335. Suppose -2*x = 2*x - 3*r - b, -15 = -2*x - r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -74789?\nAnswer: -74790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 42\/(-3) - (-2 - 1). Let r = 7 + h. Which is the closest to -0.1?  (a) r  (b) -2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1972 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, u: 3, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 11:56 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*n**2 - 10*n**2 - 16*n**2 + 14*n**2 to the form t*n + v*n**2 + y and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 517969 is divided by 786?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -153, -248, -331, -402?\n\"Answer: 6*s**2 - 113*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 2*n = n + 30, 4*n - 22 = -2*r. Let b be (8\/6)\/(4\/6). Suppose b*l + 5*h + 4 = -3, 11 = -l - 5*h. Solve -l*m - 10 = -3*j, j - 5*m = -0*m + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1438890495 less than -0.1989?\nAnswer: -0.3427890495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 139 or 551\/4?\nAnswer: 551\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*f + 27*f - 138*f - 271*f**3 + 30*f + 44*f.\nAnswer: -271*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 4209 divide 2478713772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*j - 1 + (2*j - 3*j + 3*j)*(58 + 17 + 31) + 4*j - j - 4*j - 2*j + 4 - 4 + (1 + 2 - 2)*(-2*j + 2 - 2) - 1 + 1 + j)*(-3*j**2 + 3*j**2 - 4*j**4).\nAnswer: -840*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -9600 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.922741 + 1212159.3.\nAnswer: 1212160.222741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -44?  (a) -0.1  (b) -1163  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or -30?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l + 10. Let b be c(-3). Suppose -b*r + 11 + 10 = 0. Factor 3\/4*g**r + 3\/2 - 9\/4*g + 0*g**2.\nAnswer: 3*(g - 1)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 301\/10. What is the biggest value in -0.4, 14, b, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -3*f. Suppose f*g - g = 0. Suppose g = 4*h - 32. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*o**2*s**2 + 116*o**2 - 3*o*s**2 - 4*o - 18*s**2 wrt s.\nAnswer: -26*o**2*s - 6*o*s - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*i**2 + 4*i**3 + 24*i**2 - 11*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t**3 - 19*t**2 - 11*t + 44. Calculate a(10).\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 (base 12) in base 16?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2077, -4326, -6655, -8974, -11193, -13222, -14971?\nAnswer: -16350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (24\/4)\/(18\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 40*v**2 + 2108*v - 8423. What is d(4)?\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 23*q = 27*q - 28, -4*q - 2 = j. Put -4, 0, j in descending order.\nAnswer: 0, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 12*y - 24. Let k be h(-14). Let l(z) be the first derivative of -1\/4*z**3 + 5 + z - 1\/40*z**5 - 1\/4*z**2 + 5\/32*z**k. Factor l(i).\nAnswer: -(i - 2)**3*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5 - 25. Let a be ((-8)\/u)\/(4\/10). Suppose a*r = r + 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 558 - 276 - 355*w**3 - 282 + 342*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c + 8. Let i be k(6). Let y(o) = 3*o**3 + 7*o**2 - 6*o + 2. Let g(u) = u**3 + 2*u**2 - 2*u + 1. Give i*y(j) - 7*g(j).\nAnswer: -j**3 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/((-63)\/117) - -902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - -0.052241966.\nAnswer: -20.947758034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 60 or 299\/5?\nAnswer: 299\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 3) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 486807 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*j**3 + 5*j - 5*j - 140*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7947 - 4160. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 595225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 6 = 0, -z = 12*o - 7*o + 3008. Let f = 1085 + o. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - q - 9 = 0. Let h = -529\/4 + 2089\/16. Calculate the common denominator of h and q*(-5)\/16 - 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbwlbbkkblbbbllbbk. What is prob of picking 3 b and 1 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 887 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -180, -5, -3, -2, 0 in descending order.\nAnswer: 0, -2, -3, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwzvvvlplvqz. What is prob of sequence zqp?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 35 = -5*h - 0*h, 10 = -4*d + 2*h. Let q(l) = 3*l**2 - 2*l - 7. Let w(f) = 3*f**2 - f - 6. Let i(v) = d*w(v) + 4*q(v). Determine i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2923, -5766, -8451, -10900, -13035, -14778, -16051, -16776?\n\"Answer: 13*r**3 + r**2 - 2937*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -527, -328, 19, 520, 1181?\n\"Answer: p**3 + 68*p**2 - 12*p - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -526*p + 1588. Let k be z(3). Solve 0 = -11*f + k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*x - 21*x - 388*x = -5423 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3\/259  (b) 2\/13  (c) 3  (d) -0.4  (e) 15.9  (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00018393752 to seven decimal places.\nAnswer: 0.0001839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 4, x: 1, r: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40511\/20 - -2026. Find the common denominator of b and 0 - (-6)\/(-15) - 1402\/(-180).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34.39 + -35.39. Sort -1\/3, -20, i in descending order.\nAnswer: -1\/3, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, o: 3, n: 1, l: 6, c: 1}. Give prob of sequence cnlo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*n + 85 - 10. Solve -4*l = -l, -h - 5 = -n*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 + -1.5. Let a = s - -0.5. What is the nearest to 0 in 2, 2\/19, a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0.14, 2754.\nAnswer: -8, 0.14, 2754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rbj when three letters picked without replacement from {r: 9, j: 4, q: 2, d: 2, b: 1, t: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 10*g + 9. Let w be s(9). Let i = w - -2. Let o be (-2 - -3)\/(-1 - i). Is -1\/3 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 10. Let s = 19 + -17. Suppose s*c - 3*u - 14 = 0, 3*c - 2*u = -u + 14. Calculate the remainder when o is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119221 = -546*d - 146521 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1634724 and 2101788?\nAnswer: 14712516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**3 + 3*z**2 + 5*z**2 - 8*z**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3696 + 19147 = 3096*w - 12833 - 51012 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5436 divide 2001558891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of g**5\/4 - 5*g**4\/4 + 5*g**3\/3 + 3*g. Factor c(f).\nAnswer: 5*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bfbbjbbufbubbrbbbb. What is prob of picking 1 j and 3 b?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -13*h**2\/2 - 3495. Suppose 0 = -3*x + 3*l + 2*l - 4, -x + l = 0. Let f(d) = 6*d**2 - x*d**2 - 5*d**2. What is r(f(u))?\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2*5*sqrt(153) + 3)**2.\nAnswer: 180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 749034?\nAnswer: 2, 3, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.6 + 93421.251138?\nAnswer: 93437.851138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 457958 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1*w)\/w)**(7\/4)\/((w**8*w)\/w**(3\/8)) assuming w is positive.\nAnswer: w**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f. Let q(b) = 0*b**2 + 0*b + b**2 - 2*b - 14. Let l be q(6). Let p(t) = -5*t + 4*t + l*t**2 + t. Calculate s(p(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12969453 - 1279453. Round n to the nearest 100000.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2. Let r(u) = -7*u**2 - 21*u + 12. Determine -r(n) + 6*x(n).\nAnswer: 7*n**2 + 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 9*z + 7. Let s be b(-8). Let a be (6\/s)\/(1\/5). Let u(k) = 2*k**2 - 2*k - 1. Determine u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -43.96996607 + 84.96996614. Let m = r + -41. What is m rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by (1 + (-4)\/4)\/1 - -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from ididiiiii?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 4, 0 = 35*f - 36*f - 3*r + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70962.\nAnswer: 2, 3, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/((-20)\/(-3)))\/((-17)\/(-1275)*-18)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/17, -1\/3, -0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z**2 - 11. Let i(t) = -1. Let p be ((-2)\/(-7))\/(((-460)\/(-20))\/(-322)). Give p*i(n) + a(n).\nAnswer: -2*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (3 + (-4 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 22*s**2 + 83*s + 212. Calculate d(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3102480, 1, -4, -5 in ascending order.\nAnswer: -5, -4, 1, 3102480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -2\/3, -14, -3\/8, 1, 0.\nAnswer: -14, -2\/3, -3\/8, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80 - 96. List the prime factors of ((-164)\/(-3))\/(g\/(-48)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-582)\/(-96) - (-2)\/(-32) - -282. Let m(z) = -z**3 + 5*z**2 + 7*z - 3. Let s be m(5). Calculate the greatest common divisor of y and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -73*c**3 + c**2 + 11*c + 14. Let h be m(-2). Is h equal to 580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 8*w**2 - w - 3. Let x be a(-8). Suppose -25*m = 73*m - 294. Solve -2*z - m*z - x = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + h = 13, -f - 2*h = -6*h + 1. Let x be ((-3)\/(-4))\/f*10. Factor x*c**4 - 3\/2*c**3 + 1 - 7\/2*c**2 + 3\/2*c.\nAnswer: (c - 1)**2*(c + 1)*(5*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*l = 15*l + 2575. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 7420?\nAnswer: -7417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136 and 2409818?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -t*x**3 + 22*t*x**2 + 1247*t*x - 3360*x**6 - 3*x**4 wrt x.\nAnswer: -6*t - 403200*x**3 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 63. Let y = p - -84. What is the common denominator of -3 - ((-15)\/y)\/(-1) and 103\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 51*s + 1. What is q(1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l. Let v(k) = -7*k. What is q(v(u))?\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.96 - -0.04. Let x = h - 2. What is the nearest to x in -2, 4\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 429761 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of -2*a**7\/105 - a**6\/15 + 4*a**5\/3 + 11*a**4 + 30*a**3 - 314*a**2. Suppose b(z) = 0. Calculate z.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -246 - -243. Calculate the common denominator of 121\/18 and (8 - 4218\/972) + m.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**4*m + 173*i**3*m - 80*i**2 - 8*i*m - i - 109*m wrt i.\nAnswer: 12*i**2*m + 1038*i*m - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 5*h - 8*h = -84944. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*n - 3 + 2 + 1 as z + l*n and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17997 (base 13) to base 14.\nAnswer: -12881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.6413ml to litres.\nAnswer: 0.0586413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 15 + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1554 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -6*q**2 - 296*q - 111. Determine h(-49).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does -1153 = -1156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 plus -2459729559819?\nAnswer: -2459729559659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1.074 times -0.13323\nAnswer: -0.14308902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + k - 11 = -3*b, 5*b - 23 = 2*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + x = 12 - 13, -f + 3 = 2*x. Let q(m) = 4*m**3 - 8*m - f + 10*m**2 - 5*m**3 + 0 - 18*m**2. Calculate q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y**2 - 54*y - 42. Let o be a(28). Suppose q - 476 = -q. Calculate the highest common factor of q and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6ac4 (base 16) in base 2?\nAnswer: 110101011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 2\/3, -42, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m + 5. Let l be j(-5). Let a(b) = b - b + b + l. Let x(y) = -y**2 + 3*y - 1. Suppose -4*z - 17 = 5*n, -2 - 4 = -3*n + 3*z. Give n*x(k) + 4*a(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-56 - -2) + 1240 + -1130?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 5*a + 90, 8*q + 844 = 3*q + a + 946 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1446634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 203515 divided by 15655.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u + 2*u - 5*u + 4*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*h - 38*h = 160. Let k = h + 35. Solve 3 = -k*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - 9*o + 21. Let d be x(5). Let v be 4\/(0\/(-1) + d). Solve 27 = v*u + 3*b + 1, 5*b + 5 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (3 - (-3 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.05 - -2.05. Let q = -3 - -10. Let j = q + -6. Which is the third biggest value?  (a) -1  (b) j  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 5\/113045569 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 - 159*o**2 + 1288*o - 7760\/3.\nAnswer: -(o - 4)**2*(o + 485)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-11470)\/(-370) + (-1254)\/40 + (-3)\/(-5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 2, q: 2, u: 1, l: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -79, -2, -12, 1\/103, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**3 + 880*s**2 + 9940*s + 16400 = 0 for s.\nAnswer: -164, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 3. Suppose j*d - 3 = d. Let g = 0.6 + -0.1. Sort d, g, 2 in descending order.\nAnswer: d, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03572 - -21.96428. What is the second smallest value in 4, u, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 496960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5720 divided by 110?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4 = -8. Suppose 0 = -m + 24. Suppose m = r*c - c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001021020 (base 3) to base 6.\nAnswer: 3452223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gwh when three letters picked without replacement from {y: 4, w: 4, g: 1, h: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 24 = 2*j, 60 = -84*j + 162*j - 64*j + 2*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 86160 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*2\/15 + 28\/70. Let j be (-2)\/(-2)*(-2 - -2). Let h be (j - 14\/8) + g. Which is the smallest value?  (a) h  (b) -3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215425 is divided by 1447?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 v, and 1 t when three letters picked without replacement from {q: 2, j: 1, v: 12, c: 1, t: 3}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x**5 - 370*x**4 - 4950*x**3 - 17800*x**2 - 22255*x - 9030 = 0. What is x?\nAnswer: -7, -3, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25078 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 60161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - (-1)\/(3\/(-3)). Let l = 5 + -1. Solve p*k - 7*k - 36 = -l*q, 5*k - 3*q + 35 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence akk when three letters picked without replacement from kkkakakkkkkkkkka.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34327 + -34322. Let p(q) be the third derivative of -5\/192*q**4 + 0*q + 1\/8*q**3 - 19*q**2 + 0 - 1\/480*q**o. Factor p(r).\nAnswer: -(r - 1)*(r + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {e: 1, u: 2, l: 3, r: 1, m: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1055 - 1055.12135. What is h rounded to three dps?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 - 0.6. Let x = 5 + -3. Let k = -6 + 3. What is the nearest to -1 in x, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/9*g**2 - 2\/9 + 4\/9*g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 8*o**2 + 10*o - 19. What is the units digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -k**2 + 10296*k + 91810 wrt k?\nAnswer: -2*k + 10296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03413 rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 4 + -10)\/1. Let o be 13 - (l + 4)*(-6 + 7). Is o >= 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -269 = -4*x - 5*o, 5*o - 10*o + 56 = x. Calculate the remainder when x is divided by 67.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 6) in base 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -15\/5548?\nAnswer: -15\/5548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*n**3 + 108*n**3 - 82*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tzt when three letters picked without replacement from {e: 2, q: 8, z: 1, t: 4, c: 2, l: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9772095 millilitres to litres.\nAnswer: 0.0009772095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -9 + (-1 - 5) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/69684 and 77\/1233.\nAnswer: 28640124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, y: 2, o: 2, x: 1, d: 2}. Give prob of sequence yo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 44\/3*g**3 - 4\/3*g**4 + 52*g**2 + 164\/3*g + 56\/3 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232690 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*t + 92 = -a + 2*a, -5*a + 10*a + 3*t + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -4. Let h = 1 - -1. What is the biggest value in 1\/7, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*g = 88, -g + 82 = 4*n + 10. What is the highest common divisor of n and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1073624 and -249004.\nAnswer: 824620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 - (-3)\/3*0 - 2. Sort f, 5, -14 in descending order.\nAnswer: 5, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 654 divide 106621535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 24*a**2 - 565*a - 13602. What is b(-24)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -430 - -898. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 7 - 3 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 4*y**3 + 10*y**3 - 7*y**3 + 2 - 1830114*y**2 + 1830116*y**2.\nAnswer: 7*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -14, 5, -5, 28, 22 in decreasing order.\nAnswer: 28, 22, 5, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 18 = 2*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 12 + 32*t**2 - 58*t**2 - 9*t**2 + 6 - 1.\nAnswer: -35*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**6\/120 + 13*s**5\/60 - 5*s**4\/8 - 11*s**3\/6 + 15*s**2. Let b be t(-14). Solve 2*q - 4 = b*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-52.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 + -9. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3423.14 + 3423. Which is the nearest to 2\/7?  (a) j  (b) -1\/2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 + (-1 - (-3 - -4)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-2)*(-174)\/(-9). Let r = -60 + o. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 23. Let h = z - -20.6. Let o = 0.5 + h. Sort o, 5, 1 in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -41 + -15 + (-15 - -63 - 41).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4580335092 + -58?\nAnswer: 4580335034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/34 and 1\/(-1) + 507\/(-858)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at least as big as 1260\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42052189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7252.2071 rounded to the nearest 100?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18964 is divided by 904.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from auuuiudguuuuuuui.\nAnswer: 11\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -21 - 15. Calculate the remainder when 45 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d**3 - 5*d**2 - 5*d - 2. Let r(w) = -44*w**3 + 24*w**2 + 24*w + 12. Determine -24*h(v) - 5*r(v).\nAnswer: 4*v**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/108014 and 57\/10.\nAnswer: 540070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71, 303, 693, 1241, 1947, 2811?\nAnswer: 3833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5421\/1064 - 4\/133. What is the common denominator of x and -61\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 3  (c) 1  (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37175179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + (-636 - -622).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -8*k + 6. Let b be 82\/(-41)*34\/4. Let p(i) = -3*i + 2. What is b*p(v) + 6*g(v)?\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17451 and 9479771?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1600 and 70.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -4.2. Let n = 1.1 - 0.3. Let l = 1.3 - n. What is the closest to q in 4, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 563142.8ns in milliseconds?\nAnswer: 0.5631428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**4 - 128*n**3 - 140*n**2 + 264*n = 0.\nAnswer: -2, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 17157740 and 17157719 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 22 = -2*q, -2009*q = -2006*q + 15*k - 123 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*u**3 - 2*u**2 - 279*u.\nAnswer: -54*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*(a\/(a*a\/(a\/(a*(a**(-1)\/a)\/a)*a))*a)\/a)**(-4\/3)*a**(-3\/2)\/((a\/(a*a**(-5)))\/a))**(8\/7))**(1\/9) assuming a is positive.\nAnswer: a**(-260\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2413 + 44?\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22317 and 6807?\nAnswer: 50637273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4978 or -0.25?\nAnswer: -4978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q\/((q\/((q\/q**1)\/q)*q*q)\/q))\/q*q*q\/q**(-2\/25)*q)\/(q*q**(-2)*q)**(-17) assuming q is positive.\nAnswer: q**(27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 12, 49*f - 47*f - 3*t = 8611. Suppose f + 275 = 11*w. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 24 = 4*u, 0 = -2*u + 3*o + 57 - 71 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 226 divide 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 115, 7.\nAnswer: -5, 7, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 2180.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.51 and -1?\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*t + 3*v = 77*t + 33, -v = -4*t - 25 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pvveeepajpfpp. What is prob of sequence vepp?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.06, 3, 480\/37, -3, 1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -2, 2 in ascending order.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(220)\/(sqrt(22)\/sqrt(2)) + 4)*-4.\nAnswer: 32 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/7)*b*b**9*(b\/(b*b*b\/b**(-3\/19)))\/(b**(2\/5)\/b) assuming b is positive.\nAnswer: b**(5424\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 0. Suppose w*x + 1 = 9. Suppose 2*o = -x*h - 0*o + 134, -2*o + 347 = 5*h. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81 + 73 + 0*b**3 - b**3 to the form f + u*b + y*b**3 + n*b**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/4 or 165541?\nAnswer: 165541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 354688441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -223763\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001139787 rounded to seven decimal places?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-55)\/5 + 26 - -1. Solve -x - 2*m + 12 = 2*x, -4*x + c = 5*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 7.9. Which is the biggest value?  (a) 5  (b) m  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19768 and 7472.\nAnswer: 18463312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580 = 248*p - 84 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -583*i**3\/6 - 25*i**2 + 323*i. Differentiate o(y) with respect to y.\nAnswer: -583","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*d = 3*u + 12, 2*d - 6 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - h + 4*h)*(-3 + 9*h - 19*h + 5*h).\nAnswer: -15*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(144)*2*-3)\/(-3*sqrt(48))*2.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 285 and 6123480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2059 is divided by 510.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-15))\/(57\/(-171))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of 644*t**3\/3 + 611*t**2\/2 + 210. Find the second derivative of b(a) wrt a.\nAnswer: 1288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69703 is divided by 13939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 19610 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -105.23 + -1.77. Let h = t + 107.000009. Round h to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 12:30 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 11:55 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**5\/20 - 7*c**4\/4 - c**3\/6 - 14*c. Let v be t(-21). Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 8:16 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 + ((-1)\/(-3))\/(-1)*24\/8 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1023590 rounded to the nearest 10000?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144249 divided by -20607.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-1\/3)\/b)\/b)**0)**(4\/9) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-10)\/(-6) + (-3)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 11. Let w = z - -6. List the prime factors of 1\/(-2)*(w + -20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15.67 + 0.67. Let z = j + 14.8. Which is the biggest value?  (a) z  (b) -1\/3  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -240718, -241036, -241566, -242308, -243262, -244428?\nAnswer: -245806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1521 + 1504 + 0 + (0 - -1) - -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-20)*(-60)\/8)\/(30\/(-4))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 3*g. Let c be x(3). Let y be (30\/9)\/(6\/c). Suppose y*p + 0*p - 10 = 0. What is the second smallest value in 3, -4\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -6. Suppose x = q + 3*q - 48. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2791, -5585, -8379, -11173?\n\"Answer: -2794*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from {n: 2, w: 4, b: 1, h: 1, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - y + 2. Let b be t(0). Let o = 15 - 11. Suppose 3*w = o*w - b. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 - (3 - (1 - 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-23 - -36 - (10 + -2)) + (-1 - -3) + 22?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m**5 - 14668*m**4 - 6705056*m**3 + 16883844*m**2 + 13461552*m - 10112688 = 0. Calculate m.\nAnswer: -918, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1521459428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2950.064 weeks in hours?\nAnswer: 495610.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-42))\/(17\/20145)*(1092\/(-105))\/(-26)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*f**4*g*s - 2*f**4*s + 4452*f**3*g*s + f**2*g + 17*f**2*s - f*g + 2*g + 6*s wrt f.\nAnswer: -72*f*g*s - 48*f*s + 26712*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -336 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 453 = 5*p + 151, 0 = 2*x - 6. Let r be 12\/(-66) + p\/33. What is the smallest value in r, 2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -738 + 519 - 30 + 744*c - 684 - 722 wrt c.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 7 + 1)*(0 - 2 + 6)*(-9*h + 4*h - 3*h).\nAnswer: -352*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1121 - -133234?\nAnswer: 134355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 2*d - 4 + (-3*d - 2*d + 3*d)*(3 + 2 - 3) + (4*d + d - 3*d)*(7 - 6 + 3) as w + c*d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*j - 8 = -46*j. Let d = j - -164. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 22 = -v - 2*v, -2*q = -v - 11. Suppose 0 = -q*a + a + 12, -2*k - 5*a = -39. What is the greatest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -3*f**4\/4 + 5*f**3\/3 - 6*f. What is the second derivative of n(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1073 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -267311 and -267311 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -403979\/126 - -6411\/2. Find the common denominator of o and 41\/301.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 362 + -155. Suppose 2*f + 7 - 2 = -u, 4*u - 5 = -3*f. Suppose -u*a + i = 4*j, -2*j + 5*a = -5*j + 154. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/14 + 5370\/(-35). Let i = -131 - f. What is the biggest value in -2, i, -0.4, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = d - 10. Suppose -d = 8*q - 24. Let z be (-1)\/(-2)*(0 + 0). Solve -q*j - 4*p + 10 = 0, 4*j - 3*p + 13 + 11 = z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 91 - 175. Let s = 172 + k. Let v = 88.5 - s. What is the smallest value in 4, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**2 - 34*f - 166. Let v be a(21). Solve 3*w - v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (257*w - 166*w - 163*w)*(34*w**4 + 0*w - 32*w**4 - w + 2*w**2 + (-3*w - w + 5*w)*(4*w**3 - 2*w**3 - w**3) - 1 + w**4 + 1).\nAnswer: -288*w**5 - 144*w**3 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rcmpy. What is prob of picking 1 m, 1 y, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -13, 4, -397\/4, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -43\/1751?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + i = 2. Put -2, i, 3 in increasing order.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*(sqrt(684) + 0 - sqrt(684)) - sqrt(684))*-1 - (sqrt(684) + 1 + 5 + sqrt(684) + 1*2*sqrt(684))) + 2)**2.\nAnswer: 144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -437, -897, -1361, -1829?\nAnswer: -2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 14*q**2 + 3*q + 249. Give z(-13).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - x**2 - 2*x - 3. Let s be h(-2). Suppose 54 = -3*j + s*j - 4*p, -5*j + 5*p = -145. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 160\/(-544)*-51 + 202\/(-12)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -9. Let s(c) = 4. Let g(l) = -3*f(l) - 7*s(l). Let m(v) = v - 122 + 233 - 117. Suppose -2*b - 2*r = 2, b = 3*r - 6*r - 7. Give b*m(t) - 11*g(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, r: 5, d: 2}. Give prob of sequence ww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.030303 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -7*l - 9. Let f(a) = -3*a - 5. Suppose 3*x - 1 = -5*o - 2, -2*x + 1 = 5*o. Give x*c(k) + 5*f(k).\nAnswer: -k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (434\/42 - 10)\/(2\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/63 + 1759\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (2*sqrt(2176) + sqrt(2176) + sqrt(34))\/sqrt(2))*-2.\nAnswer: -50*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*d = 216 - 1314 - 1030 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**2\/7 - 1794*b\/7 - 31635 = 0.\nAnswer: -105, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23.89 - 24. Let t = -25 + 26.4. Let i = y - t. What is i rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-8))\/(-10 + (-148)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3.83 * 0.04\nAnswer: -0.1532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4470 is divided by 816.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5753462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 + 303?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, u: 1, g: 3, p: 1}. Give prob of sequence ggp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 7 + 3 = -3*i, i = 0. Let p be (6\/8)\/(-3) - 2\/(-8). Calculate the remainder when 4\/l - (p - 22) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -7*x**2 + 252*x - 290. Calculate o(35).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4 + (-6*-2*sqrt(275) + 1*(sqrt(275) + 1 + sqrt(275)) + sqrt(275))**2.\nAnswer: 150*sqrt(11) + 61877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**2 + 2*u**3 + 2*u**2 + (-4 - 2 - 1)*(0*u**3 - 4*u**3 + 6*u**3) in the form x*u + l*u**3 + a + o*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 3*i**2 + 4*i + 4. Suppose 3*o - 1 = 4*o. Let h = o - 5. Let m be 3\/9 + (-22)\/h. Calculate t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 287377.48 + -287340.479854. Let q = -37 + f. What is q rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (38\/((-5776)\/(-8930)))\/((-1)\/12*-1) and 120.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 0 = -21. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 5*n**4\/12 - n**3\/2 + 3*n. Find the second derivative of h(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**2 + 4*z - 6. What is r(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -353469*k**4 + 12*k**3 + 120682353 wrt k?\nAnswer: -1413876*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1857*k**3 - k**2 - k + 33888?\nAnswer: 5571*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 9*v - 20. Let t be s(-7). Let d be t + -1 + (363 - 10). Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 7 = -r - 6, 0 = r - 5*f + 22. Let v = r - -19. Calculate the smallest common multiple of 22 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/8 + ((-5159102)\/16)\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 6*c - 4*c)*(2 + 2*c**2 - 2) + (0 + 3 + 0)*(3*c**3 - 9*c - 56*c + 26*c - 43*c).\nAnswer: 11*c**3 - 246*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, f: 1}. Give prob of sequence mmf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -25, 124764, 4\/5 in decreasing order.\nAnswer: 124764, 5, 4\/5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -d**6\/60 - 5*d**4\/24 + d**3\/6 + 3*d**2. Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 18.55. Let x = d - 0.49. Is x equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*u + 3*h + 1, -2*h + 14 = 4*u. Suppose -30 = u*p - 86. Solve -p*x + 12 + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + 0*x + 250557 - 540722 - 523049.\nAnswer: 2*x - 813214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3) + sqrt(12)) + -2)**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 138.85 + -21.85. What is the fourth biggest value in -5, -2\/3, 0.3, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1203.84ns?\nAnswer: 1.20384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -889069081 + -19.\nAnswer: -889069100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-3))\/((-1)\/6). Suppose -y*m - 4 = -5*m. Suppose 5*k - 8 = 7. What is the remainder when m is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1251*x + 3808*x - 1229*x - 1254*x.\nAnswer: 74*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l - 45 = 0. Let r = 8 + l. Let k be (0 + 0 - 2)*r. Solve 0 = k*b - b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 25*r**2. Let y(z) = 20*z - 2257. What is y(q(d))?\nAnswer: 500*d**2 - 2257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*a + 4*a. Put 4, a, -1 in decreasing order.\nAnswer: 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(12) + sqrt(12) + sqrt(12)*2)**2 + sqrt(6)\/sqrt(2) + 5.\nAnswer: sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.971 + 0.029. What is the closest to -1 in 3\/8, 13, x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 3:50 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahahaahahhaaaathha. Give prob of sequence aa.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 3) + 2 - (-2 - -26 - 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 1.5. Let b be 3*3*3\/108. What is the second smallest value in -2, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12.8783517*1.\nAnswer: 12.8783517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62.63 - 63. Let m = -0.07 - b. What is the closest to 0 in -0.2, m, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 38*j**2 + 22*j - 21. Let k(v) = 3*v**2 + 2*v - 1. Determine 12*k(b) - y(b).\nAnswer: -2*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4216 a factor of 515284725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = 2*n - 4*n. Suppose 9 - 26 = -u. What is the greatest common factor of u and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 425 (base 6) to base 8\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451482 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - (5 - -11 - 28)) + 1 - -72.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9197 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.51 - -1.42. Let y = -56.08 + 55.98836. Let h = c - y. Round h to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i. Let y(f) = -3*f - 4. Let t(m) = 2*x(m) - y(m). Give t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 divided by -4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 131*k + 323. Let n be x(-2). Is n equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1431 - 970. Suppose -474*i + 3406 = -s*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 (base 7) in base 2?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1020, 985, 918, 813, 664, 465, 210, -107?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -4, -761, 0, 325 in descending order.\nAnswer: 325, 4, 0, -4, -5, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 6*p - 2*p. Let g = 2.3 - 5. Let b = g + 4.7. What is the second smallest value in -5, p, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7012215 (base 9) to base 16.\nAnswer: -38e39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2355 by -15.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 318987072 to the power of 1\/2, to the nearest integer?\nAnswer: 17860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.21 + 0.79. Sort 43.3, z, -1\/3 in decreasing order.\nAnswer: 43.3, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4327*y - 75. Is b(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 0 + 0)*(3*l + 2*l - 4*l)*(1 - 3 - 1)*(0*l + l + 0*l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 7:55 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 0. Suppose f = h - 9. Suppose 0 = -7*y + 5*y + h. Sort y, -3, 1 in increasing order.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from {y: 1, o: 1, w: 1, g: 4, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**2 - 3*v - 17. What is n(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -6\/113, 0.3, -4, 2, -1\/11, 31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 506986826 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 3:23 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*(sqrt(81)*4 - sqrt(9))\/sqrt(3)*-4.\nAnswer: -660*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, c: 2, o: 2, d: 1, s: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 67 - 17 = -3*s, -2*v = s - 42. Let i be (1 - 6)*v\/21. What is the third smallest value in -0.1, i, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, m: 1, n: 3, a: 1, d: 1}. What is prob of sequence nnda?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -311, -595, -853, -1073, -1243, -1351, -1385, -1333?\n\"Answer: 2*j**3 + j**2 - 301*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1032034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(((-5)\/(-4)*130\/(-65))\/(-10)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 717*c - 5*c**2 - 717*c. Let h(a) = -8*a**2. Determine h(t(u)).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**2*p*p*p**(-1))**(-1)*(p**3*p)\/p*p\/(p*p**(-1\/9)*p)*p**(1\/2)\/(p*p**5) assuming p is positive.\nAnswer: p**(-115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*i**2 - 3*i + 7 - 4*i + 7*i wrt i?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 421 - 339. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4263179\/1218 + 130046\/87. Let u = 12162 + -17154. Let c = d + u. Calculate the common denominator of 121\/6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*h = -2*p - 279, 0 = 3*p + 2*h - 291. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.9*114.\nAnswer: 672.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -1, 5, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 + 14. Let c(b) = 5*b - 3. Let u be c(h). Suppose -5*g + u*g = 36. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/((-90)\/12))\/(39\/78)*(-3)\/(-156)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 50 = -5*b. Let p = b + -6. Let s = -21\/2 + p. Sort -2, -0.3, s in ascending order.\nAnswer: -2, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkvvpsivvvkkkviiivkb. What is prob of sequence ikbi?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 509, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of 3*u**3\/2 + u**2\/2 - 3*u. Suppose 4*w - 11 = -3. Let f(s) = -93*s**2 - 100*s**w + 194*s**2. Determine t(f(r)).\nAnswer: 9*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 12*d**2 - 2*d - 25. Let z be c(-12). Let p(w) = 2*w**3 + 3*w + 1. Let r(m) = m**3 + m. Calculate z*r(g) + p(g).\nAnswer: g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55935 is divided by 53215?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*t**4 + 310*t**3 - 2405*t**2 - 10140*t = 0. What is t?\nAnswer: -3, 0, 13, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 30 - 8\/5*y**5 + 0*y - 2\/3*y**6 + 0*y**4 + 2*y**2 + 8\/3*y**3. Solve n(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((0 - -2) + 0)*2. Let a be ((-2)\/u)\/((-7)\/84). Let x be (-1 + (-20619)\/a)*-192. Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**3 - 6*y**2 + 6*y - 4. Let r(c) = -2*c**3 - 5*c**2 + 5*c - 3. Let u = 232 + -227. Suppose -271 = -u*k - 246. What is k*q(p) - 6*r(p)?\nAnswer: -3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**2 + 5*j**2 + 0*j**2 - 31*j.\nAnswer: 3*j**2 - 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*i - 575 - 814 = 686 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 5.7. Which is the second biggest value?  (a) -0.5  (b) -0.4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -111250 - -164164. Suppose -v = -32*j + 30*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 165851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 1508 = -5*l, 4*l = -0*u - 3*u + 1162. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -11 - -43 - (-9 + 17) - (29 + -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0439 + 0.3939. Sort -2, -0.02, 0.3, v, 3 in decreasing order.\nAnswer: 3, v, 0.3, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4467, 4471, 4475, 4479, 4483?\nAnswer: 4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 + 11*v**2 + v + 8. Let s be j(-11). Let x be -23*(4 + 0 + s). Let r = -11 - x. Solve -2*p = -5*d + 3*p, 0 = 5*d - 2*p - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - k**2)*(-5*k + 3*k + 4*k) + k**3 - 4*k**3 + 2*k**3 - 2*k**3 - k**3 + 2*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 178993683 divided by -16272153\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 285.8235 months?\nAnswer: 0.23818625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*j = -11, 0 = -2*u + 2*j - 12. Let m(z) = -z**2 - 7*z - 6. Give m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55103 is divided by 18247.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/(d**(-1\/2)*d))\/d)**(1\/2) assuming d is positive.\nAnswer: d**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 200 and 6409850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*w**4 + 40*w**4 + 28*w**4 + (-3*w + w**3 + 3*w)*(4*w - 5*w - w).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/6)\/((-1 + 2)\/(-6)). Let i(o) = 42*o**2 + 36*o**a - 75*o**2. Let v(q) = 4*q. What is v(i(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 7*a + 6. Let p be b(5). Let q(d) = -4*d + 86. Let k be q(p). Solve 4*z - k*z = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -4, 79, -1, 4 in descending order.\nAnswer: 79, 22, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -12  (c) -0.4  (d) -1395  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + 5)*(-6)\/(-12)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -8*t + 18. Suppose 639*i - 45 = 624*i. Calculate o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.9 + 0.73. Let q = 101.37 + f. Let i = -102.9999937 + q. Round i to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -257, 1\/4, 0.5, 1169.6 in ascending order.\nAnswer: -257, 1\/4, 0.5, 1169.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*m**2)*(-2 + 0 - 6).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 2:08 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.009872075 rounded to six dps?\nAnswer: 0.009872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3780 + 11906. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/7992135?\nAnswer: 2\/7992135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 d, and 1 i when three letters picked without replacement from {i: 7, h: 4, d: 6}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1240 is divided by 602?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -2*s**6\/3 + 41*s**4\/12 - 1227*s**2\/2 + 1649*s. What is the derivative of m(p) wrt p?\nAnswer: -80*p**3 + 82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100100 (base 2) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3694390472?\nAnswer: 2, 811, 569419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 76 = -4*x, 2*x - 4 = -2*x. What are the prime factors of 4758\/b + (-3)\/9?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 4:05 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -1\/2  (c) -2673\/7  (d) -5  (e) 3  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 763 from -1600143417.\nAnswer: -1600144180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 29*z + 25. Let k be 2\/10 + 4\/(-20). Sort 3, 5, z, k in decreasing order.\nAnswer: 5, 3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 10*r**2 + 13. Suppose 3*m = -16 - 14. List the prime factors of b(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 10:36 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1573)*-1 - sqrt(1573)) + 5 + -4 - -2*-4*(sqrt(1573) - (sqrt(1573) - -2*sqrt(1573)) - sqrt(1573))) + -1)**2.\nAnswer: 761332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*b**3 - 54*b**3 - 9*b**3 + (2 - 2 + b**2)*(2*b - 1 + 1) + 4*b**3 - 2*b**3 + 0*b**3.\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -25 - (-15566)\/1892*3\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -50, -1\/4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 540918 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1.1, -16, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 3, -0.5, 0, 4 in descending order.\nAnswer: 9, 4, 3, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -79128 - -116097. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -79, -127, -179, -235, -295, -359?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 25, 4, 0.01, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*c - 9*c**4 - 39*c**4 + 38*c + 13 wrt c?\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*x + 55 = 0. Suppose 655 = 44*a - 1061. Suppose 4*p - 5 = -l, 44*p - 5 = -l + a*p. Calculate the highest common divisor of l and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216 is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58 + 25. Let o = a + 30.2. Let d = o + 4.8. Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000225671971 to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-26)\/12))\/(2298\/29874).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 6*p**2 - 4*p - 3. Suppose -6 + 11 = a. Let x be r(a). Find the second derivative of x + b**2 - 2 - 5*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -13 + 28*6\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27405.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z - 19*z - 35 - 80*z + 35.\nAnswer: -107*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -824*j - 4160. Is t(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 27, 0, -5, -91\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*(2*(3 + (sqrt(637)*-1 - sqrt(637)))*3)**2)*4.\nAnswer: -36288*sqrt(13) + 1104604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -0.5, 9 in decreasing order.\nAnswer: 9, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 417*w = -79*w + 598176. Is 72 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 5*t - 4 = -2*v - 8*t + 5, 3*t = 4*v - 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -82*u**2 - u + 1. Let i(b) = b**3 - 5*b**2 - b + 6. Let m be i(5). Let k be a(m). Let q = -74 - k. Calculate the highest common factor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 9*n**2 - 116. Let w(g) = -2*g**2 + 29. Calculate 2*r(a) + 9*w(a).\nAnswer: 2*a**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/2613 and 65\/14874?\nAnswer: 193362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(78) + (sqrt(78) - (sqrt(78) - (sqrt(78) - 2*sqrt(78)))))*-3 + sqrt(78) + (sqrt(78)*-1 + sqrt(78))*6)\/(sqrt(72)\/(sqrt(48)\/sqrt(4)*-2)).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 5*r - 3. Let v be t(2). Let j(q) = -34 - 3*q + 66*q**v + 30 - 283*q**3. What is the tens digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -133.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(sqrt(1323) + (sqrt(1323) - -4*sqrt(1323)) + sqrt(1323) - sqrt(1323))\/(sqrt(9) - sqrt(900)*-1))**2 + 5.\nAnswer: 168*sqrt(3)\/11 + 21894\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50965992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 5 - 3)*(-23*g + 10*g + 10*g) to the form w + c*g and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 693 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16637591 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -2. Find the first derivative of -j - 2 - 2*q + 2*q - q wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 946 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 362927960*i - 581921882.\nAnswer: 362927960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 8) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 0*t + x = 78, -3*t - 2*x + 118 = 0. Let l = t - -15. Let v = l + -35. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 39 = -k, -159*i = 3*k - 160*i + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 3*b**3 + b**2 + 5*b + 3. Let y(q) = q**3 + 4*q**2 + 4*q + 1. Let l be y(-3). Let k(j) = -j**3 + j**2 - j - 1. Let v(d) = l*k(d) - t(d). Factor v(f).\nAnswer: -(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51806 is divided by 127.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3551\/7 - -507. Which is the closest to g?  (a) -5  (b) 4  (c) 0.5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*(-3 + 3*sqrt(117)) + 1.\nAnswer: -54*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3 + 2*k**2 + 128*k - 480.\nAnswer: -(k - 10)*(k - 4)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 728 and 35945.\nAnswer: 287560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.85885 + -3.448733. Let y = 232 - 230.41. Let g = q + y. Round g to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 193 - 198. Suppose 2*w - q = -7, -q - 5 = 4*w - 6*q. Which is the nearest to w?  (a) 0.5  (b) -0.2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 292 divide 8120752140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -85*d**3 - 4*d**2 - 2*d - 3. Let a(m) = 254*m**3 + 13*m**2 + 8*m + 10. Let b(g) = -2*a(g) - 7*z(g). Does 35 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -2ba721?\nAnswer: 2ba724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/((-72)\/(-9))*(-9)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 6*c + 2. Let a be 63\/49 + c*(2 + -1). Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -32*q**2. Let o(i) = -21*i**2. Determine o(b(t)).\nAnswer: -21504*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*t = 346 + 586 - 50 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10121797 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 199\/4 - (-1)\/4. Let n = 101 - w. Is n\/(-2)*(-36)\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 198*u*y**2 + 4*u*y - 12*y**2 - 12*y wrt u?\nAnswer: 198*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (114 + -1)*(8 + -15). Let j be (-1268 - 2)*(-3)\/(-3). Let n = w - j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + m + 457 - 350, 3*m + 35 = x. Let d(t) = -t**3 + 27*t**2 - 26*t - 8. Determine d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -63\/11 >= 158\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/9)\/q)\/q*q**(-8)*(((q\/(q*q*(q**(-3\/2)\/q)\/q*q))\/q)\/q)**(-10) assuming q is positive.\nAnswer: q**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -179*m - 2698. Let z be j(-15). Let h(p) = p**2 + 15*p + 22. Give h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24385340 and 46332146?\nAnswer: 463321460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 14, 2\/15, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 436 and 929116?\nAnswer: 929116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 424523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**3 - 3*d**3 + 0*d**3 + (0*d**2 + 2*d**3 + 0*d**2)*(3 + 0 - 5) + 4*d**3 - 3*d**3 - 3*d**3 - 6*d**3 + 16*d**3 - 11*d**3 - 4*d**3 + 29.\nAnswer: -10*d**3 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6199 - 0.1842.\nAnswer: -6199.1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 336 = 2*i - 3*v, 0 = 2*i + v - 637. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u**2 - 618*u. Let h(i) = i. Determine v(h(f)).\nAnswer: -2*f**2 - 618*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1070 is divided by 272.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4939 - 2*c**3 + 2576*c + 4939.\nAnswer: -2*c**3 + 2576*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000645 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*j + 18 = -27*j. Let d(c) = 7*c - 12. Let b(h) = 15*h - 23. Determine j*b(u) - 13*d(u).\nAnswer: -u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 36*i - 34*i - 5, 52 = 12*j + 4*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 1129*y - 6 - 8 - 778*y to the form n + c*y and give c.\nAnswer: -1907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -n + x - 13, 0 = 3*x - 6 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65 and 4494685?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1749367.117 * 4\nAnswer: 6997468.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - -1 - (5 + -9 + 2). Suppose 2*b + 2*v - 2 + 0 = 0, -3*v = -s*b + 2. What is the least common multiple of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 550705.4l to millilitres.\nAnswer: 550705400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2316  (b) -5  (c) -4  (d) -1  (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20589178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 11*o**3 + 3*o**2 - 7. Let r(q) = 8*q**3 + 3*q**2 - 6. Give 3*d(f) - 4*r(f).\nAnswer: f**3 - 3*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o. Let v(u) = -u + 70270. Determine a(v(m)).\nAnswer: 2*m - 140540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**4 - g**4 + 8*g**2 - 20*g**3 - 28*g**2 = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21624.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 725680\nAnswer: -290272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 16*i - 6. Let m be (-6)\/15 + 34\/10. Is z(m) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vffvfvffvvfvv. What is prob of picking 1 v and 2 f?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4*3.3\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 7, -42 in decreasing order.\nAnswer: 7, 5, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 58649617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 168)*(-27)\/(-18). Suppose -2*z + 46 = -y - g, -2*z - 3*y + 282 = 0. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4069 = 2*d + f + 117, -2*d - 5*f = -3920. Does 45 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {j: 1, u: 11, r: 8}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -605?  (a) 2\/7  (b) -3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + 2*(sqrt(133)\/(sqrt(28)\/sqrt(4)*4))**2 + -2.\nAnswer: 59\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - -7)*(-2 + 4). Calculate the greatest common divisor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*(-117)\/(-26)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -13. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*n - 8, -3*j + 4*n = -50. Suppose -15 = 5*k - 3*t, -3*k = -2*k + 2*t - 10. Suppose -4*x - b = -j - 29, -2*b - 10 = k. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29533992.\nAnswer: 2, 3, 37, 79, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*d - 697 = 0, 151 = -5*l - d + 1305. Suppose l = -3*k + 213. Let c(f) be the first derivative of f**2\/2 - 3*f + 2. What is c(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {m: 3, y: 2, k: 8, h: 1, s: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/50)\/(2\/10). Sort 3, l, -4, -1 in ascending order.\nAnswer: -4, l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 70 + -3766008?\nAnswer: -3765828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {s: 3, k: 1, n: 5, f: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11281 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1929601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -65 + 40\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80812345 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 583248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6141.819 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2\/2 + 2374449*y - 1879336017867\/2.\nAnswer: -3*(y - 791483)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-25)\/(-20)*2. Let b(z) = z**3 - 3*z**2 - 2*z + 8. Let i be b(p). Calculate the common denominator of (0 + 6)*(-27)\/i and 15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, f: 3, b: 4, g: 4, s: 1, v: 1}. Give prob of picking 2 g and 1 f.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 35*g + 9. Suppose 0*w + w = 14. Is z(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 116 - 3369?\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, z: 6, n: 1, j: 4}. What is prob of picking 4 e?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -1\/6  (b) 1.1  (c) 0.56  (d) -5  (e) -4\/55  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 3, 0.1, 36, 0.6, 2 in increasing order.\nAnswer: -0.3, 0.1, 0.6, 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**4 + 235203*g**3 - 235203*g**3 - 81*g + (0*g**2 + 3*g**2 - g**2)*(-3*g**2 + g**2 + 0*g**2) - 7 + 7 - g**4.\nAnswer: -9*g**4 - 81*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 116 + -77. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - 3*i + 6996. Let o = i - -158332. Round o to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-564)\/658)\/(2\/7) + -26.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 532221 - -3?\nAnswer: 532224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322 is divided by 52?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-10)*(-2)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*1*1 + -3.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -126  (b) -2\/11  (c) -1\/3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -152\/7  (b) 1\/4  (c) 0.7  (d) 3  (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.9 + 17.1. Let p = g - 9. What is the biggest value in p, -3, -1\/3, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85324 or -84671?\nAnswer: -85324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4\/9 + j**3\/3 - 25*j**2\/9 + 7*j\/3.\nAnswer: j*(j - 3)*(j - 1)*(j + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 246469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 4*f = -3, -x + 2*f - 1 = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = j + 5*o, 8*j = 2*o - 323 + 233 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 152 + -129. Let r = -5 + 7. Suppose -p - 17 = -4*m, 10*m - 19 = r*p + 5*m. Solve 4*s + v = p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*d**3*m**3 + 4996*d**2 + d*m**3 + 5*m**3 - 106 wrt d?\nAnswer: -9*d**2*m**3 + 9992*d + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 5*w**4 - w**2 - 3*w - 8. Let a(l) = 14*l**4 - 3*l**2 - 10*l - 22. Let x(t) = -4*a(t) + 11*v(t). Let c(h) be the third derivative of x(h). Give c(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 4*j = -16, -35 = -3*w + 5*j - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -44 + 2 + 0\/(-4). Suppose 256 = 4*n - 0*n. Let t = n + x. What is the least common multiple of 10 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/8)*i*i)**(1\/11) assuming i is positive.\nAnswer: i**(15\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1718.6751 times -3\nAnswer: -5156.0253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 480655 divided by 50.\nAnswer: 96131\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 561006\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c + 6. Let l be u(3). Suppose -11 = -l*d - 2. Let h be 2 + 6\/d*1. Solve -5*t + h*k - 3 = -18, -3*t - 8 = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**4 + 3*l**4 - l**4)*(1 + 2*l - 1) + (8 - 6 - 3)*(-2*l**5 + 7*l**5 - 3*l**5).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1313*a*b**3 + 3*a + 2*b**3 + 7*b**2 + 10 wrt b.\nAnswer: -7878*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2 - 19*c - 1. Let k(d) = 3*d**2 + 29*d + 1. Let y(m) = -5*k(m) - 8*u(m). Let q be y(-7). Solve q*n + 22 - 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 2*c. Let v be i(0). Suppose -85 = -v*b - 5*b. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 + 33*p**2 + 8. Let l(q) = 5*q**2 + 27*q - 101. Let x be l(-8). Let v(s) = -17*s**2 + 5*s**3 + 0 - 3 - 4*s**3 + 6*s**2. Give x*j(k) + 8*v(k).\nAnswer: 2*k**3 + 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 32*m**2*q - m**2 + 13*m*q**3 - 43*q**3 + 121 wrt m?\nAnswer: 64*m*q - 2*m + 13*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 + -200354?\nAnswer: -200340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(1\/3)*t*t**4*(t**(-1\/2))**(1\/46) assuming t is positive.\nAnswer: t**(1561\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4614509?\nAnswer: 29, 41, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - (-10 - 2)) + -8 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**7*c\/(c**0*c*c))**(1\/2) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y - 2*y**2 + 2 + 8*y**2 + 4*y. Let d(q) = 5*q**2 + q + 2. Determine -4*d(m) + 3*g(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-4) - (-3 + (-434)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*g = -11, -3*q + q + 5*g - 25 = 0. Let r = q - -9. What is the remainder when 26 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3433100 rounded to the nearest 10000?\nAnswer: -3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11636485 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 32\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/64 and -5\/559536?\nAnswer: 2238144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.9437 and 3.\nAnswer: 5.8311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 2*i - 4. Let g be (-4 - i)*10\/(-4). Which is the closest to 0.1?  (a) g  (b) 1\/9  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -4. Let d be 6 - (-1 - r)*3. Solve d*t = 4*v + 15, -t + 4*t + v = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**3 + p**3 + 0*p**3 + (p**3 + 0*p**3 + p**3)*(-3 + 3 - 1) + 2*p**3 - 5*p**3 + 2*p**3 + (-p + 2*p - 5*p)*(-2*p**2 + 0*p**2 + 4*p**2).\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2\/5, -5\/2, 4, -0.6, 228, 3 in descending order.\nAnswer: 228, 4, 3, 2\/5, -0.6, -5\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96459.56 meters to nanometers.\nAnswer: 96459560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65455251?\nAnswer: 3, 21818417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 10:34 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1771 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: Divide 196870608 by 816.\nAnswer: 241263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 20 = 2*t, 4*u - 22 = -4*t + 2*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d04 + 6b?\nAnswer: d6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 16*v**2 + 30*v + 17. What is the units digit of m(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51\/44 + 43\/11. What is the common denominator of -4 - -5 - (-101)\/12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 5*h + 45, -y - 5*h - 403 = -382 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**2*k**3 + 5842*i**2*k + 1145539068*i*k**5 - 58839*k**2 wrt k?\nAnswer: -12*i**2 + 68732344080*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-4)*27\/(-270).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/9*21\/6 + 314\/1413. Solve f - 6 = -4*q, -3*f + 9 = 4*q - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-39)\/2 - 204\/(-34))*-916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3*1781025\/94988?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 27746839 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4958026224?\nAnswer: 2, 3, 487, 212099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5647.08 + 5647. Which is the third smallest value?  (a) -10\/17  (b) i  (c) -0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 12:41 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 236099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + 1 + sqrt(1053) + (sqrt(1053)*-1 + sqrt(1053) - sqrt(1053)) + (sqrt(1053) - (-1 + sqrt(1053) + 5)) + -2*sqrt(1053)*-1 + -2 + -2)**2.\nAnswer: -108*sqrt(13) + 4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4800 + 4808. What is the lowest common multiple of (7 - 3 - -25) + 3 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/141 + 272\/705. Suppose -5*m + 4*o - 92 = 0, -3*m + 5*m - 3*o = -41. Let l = -14 - m. Sort l, h, -2\/15 in decreasing order.\nAnswer: l, h, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from kvghvhbt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -r, -2*q - 19 - 8 = -5*r. Let l = q + 20. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58563667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -1252*j**3 + 22*j**2 + 22*j + 2. Let a(g) = -626*g**3 + 10*g**2 + 10*g + 1. Determine 13*a(w) - 6*i(w).\nAnswer: -626*w**3 - 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 147\/(-35)*(-10)\/6. Calculate the greatest common divisor of t and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-21)\/8)\/((-6)\/48) is divided by 1\/(-3 - (-102)\/33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 1. Let y(s) = 4*s + 3. Let p(n) = -2*y(n) + 6*z(n). Let x(i) = i**2 + 2*i - 5. Let l be x(-4). Let w(v) = -4*v + l*v - 2*v. Give w(p(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 - -135. Suppose 3*l - 29 = a. Suppose l + 18 = 3*q. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -9 + (-8 + -1 - (-71 + 69))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrfwrrwwwwrsffff. What is prob of sequence rfw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by -32.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*1 - 19\/9. Let n = -9 - 18. Let j = -30 - n. Which is the third biggest value?  (a) 5  (b) s  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -12. Suppose -q*x + 13 = 7. Suppose 3*i = -2*i + 10. Which is the closest to x?  (a) -2\/7  (b) i  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + c = 4*i - 13, -4*i = -c - 9. Suppose -i*d - 33 = -215. Suppose -3*g = -3*m + 192, -251 = -3*m - 5*g - d. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 605*i**5 + 534270*i**4 + 110417025*i**3 - 3387025040*i**2 - 3793143900*i - 1043406000 = 0 for i.\nAnswer: -455, -6\/11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s\/s**(-1\/4)))**6*(s\/(s*s**(-3\/2)))**41)**10 assuming s is positive.\nAnswer: s**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 + -16. Let f = -43 - -23. Let w = f + l. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357448 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 21 + 35. Let w = -5.1999 + 0.2569. Let u = w + -0.057. Which is the smallest value?  (a) -0.1  (b) u  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**2 + c**2 - c**2)*(-3*c + 2*c + 0*c) + (5 - 5 + 3*c)*(c**2 + 2*c**2 - 7*c**2).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(405) + (3 + sqrt(5)*2)**2.\nAnswer: 28 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2 = -4*p - 0, 0 = -3*p + 6. Suppose j - 5965 = -4*j - g, -w*g + 1207 = j. Suppose 10*z - j + 12 = 0. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -135, -161, -213, -297, -419, -585, -801, -1073?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**2*r*u**2 - 4*q**2*r*u - 2*q*r*u**2 - 3*q*r*u + 68*q*u**2 - 5*q*u wrt u?\nAnswer: 4*q**2*r - 4*q*r + 136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -766 (base 8) to base 15\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4227099*l*n**4 - 3*l*n**3 + 9*l*n**2 - n**4 - 2*n**2 - 762219 wrt n.\nAnswer: -101450376*l*n - 18*l - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 4. Determine x(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25566588 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(240) - (sqrt(240) - sqrt(240)*2)*-4)\/(-2*(sqrt(125)*-4 + sqrt(125))).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*v - 13*v + 10*v - v + 5*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3164962432 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-506)\/462 - 25\/(-15)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9d6ce (base 15) to base 10.\nAnswer: 501044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(1 + -5)\/4. Let v be -4*(63\/(-156) - (-2)\/13). Sort v, -20, f.\nAnswer: -20, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(65)\/sqrt(5))**2 + sqrt(13) + sqrt(325)*6 + sqrt(13) - (-2 + 1*sqrt(832))*3.\nAnswer: -33 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.9  (b) -2\/5  (c) 4  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of d**6\/240 + d**5\/24 + 7*d**4\/48 + d**3\/4 - 1039*d**2. Factor p(u).\nAnswer: (u + 1)**2*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 3.008872.\nAnswer: 4.008872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -h**4\/6 - 47*h**3\/3 - 420*h**2 + 4*h - 1298. Factor i(c).\nAnswer: -2*(c + 12)*(c + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of -k**5\/20 - 5*k**4\/12 + 2*k**2 + 3*k. Let d be b(-5). What is the remainder when (-10 - -6)*(-9)\/d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from {b: 3, q: 1, i: 3, k: 11, u: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 462 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from gtmhmegmtogo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 576 a factor of 1299198620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 6*v + 21 = 0. Calculate the greatest common divisor of 39 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295773*d**2 + 295762*d**2 + 295771*d**2 - 1478856*d**2 + 295772*d**2 + 295777*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3006)\/(-90) - 33)\/((-2)\/(-270))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyzyyyzpyy. What is prob of sequence yzpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19\/35 + -8\/7. Let c = -15213\/5 - -65186\/35. Let r = 1182 + c. Calculate the common denominator of r and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16595 = -2350*c + 44133 + 26512 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 15*f - 4. Let q(m) be the first derivative of 7*m**2 - 3*m + 1. Let y(k) = -3*h(k) + 4*q(k). Let g(n) = -2*n**2. Give y(g(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13cc3 - 34c?\nAnswer: 13974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -29553  (b) -17  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*5386.684.\nAnswer: 2154.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -0*s - 10. What is w in 2*w**4 + 4*w**4 + 3 - 8*w**s - 2 - 4*w + 1 + 4*w**3 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-26)\/38 - ((-902538)\/2166 + 417)\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13814*f + 27717*f - 13911*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1254\/14 + (-4 - (-31)\/7). Suppose 3*h - w = 8*h. Let v be h\/45 + 94\/35. Do 1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(13\/468*18)*(105\/(-9))\/(-1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 123131 (base 4) in base 8?\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -31*b - 213. Let m be v(-15). Let a = 315 - m. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -403 - -402. Which is the third biggest value?  (a) y  (b) 38  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -180 by -30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*d*g - 2162*d - 5179143*g**4 + 1006 wrt g?\nAnswer: 3*d - 20716572*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11111110 (base 4) in base 16?\nAnswer: 5554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360167 is divided by 1499?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 7*v - 8. Suppose c = -4*c + 40. Let h be z(c). Solve h*q = -4*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 19*q**2 + 0*q**4 + 0*q**3 + 0*q - 7\/2*q**6 - 20 + 0*q**5. What is the second derivative of h(d) wrt d?\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -67.62 + 1.62. Let l = 45 + w. Let x = l - -12. Which is the smallest value?  (a) -2\/3  (b) x  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 minus -2518?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 3. Let v = 3.5 + -3. Let f = 0.0242 - -0.0758. Which is the closest to f?  (a) v  (b) 0.1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 193325, 386648, 579971, 773294?\nAnswer: 966617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15535 + -15531. What is the nearest to -3 in 6\/5, g, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-15) - 90\/25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -47.01, 9\/4, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 23372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 + -25. Let t be (k\/2)\/(1\/(-2)). Let w = t - -18. Calculate the lowest common multiple of 1 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1441, -1439, -1437, -1435, -1433?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -b - 4*h, -3*h = 3*b + 64 - 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1096*w + 157074 = -777*w - 1469*w for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -46943298 divided by 23471649\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b**2 - 32916 + 15714 + 17202 - 5*b**2 + 9*b**2 - 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 - 11*h**2 + 36*h. Let j(q) = -2*q**2 + 7*q. Let a be 17*17\/578*8\/(-2). Calculate a*x(k) + 11*j(k).\nAnswer: 2*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*y + y + 8*y + (-2 + 1 - 1)*(3*y - 4*y - y) - 97*y - 63 + 41 + 25 to the form k*y + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.541 - 0.059. Let a = 0.56 + 0.04. Let z = a + m. What is the third biggest value in -2\/3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 0.34.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/(-180)*1\/((-6)\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -1000101?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -52976300 rounded to the nearest 100000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/3 - 15110*s**2\/3 + 60464*s\/3 - 60472\/3.\nAnswer: -2*(s - 2)**2*(s + 7559)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thdtwtdwtwthwttt. Give prob of picking 2 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*r**3 + 6615874*r**2 + 9781197?\nAnswer: 6*r**2 + 13231748*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91029451*c**3*f**2 - 414*c**3*f + c**3 - 2*c**2*f + 137*c*f + 2*f - 11 wrt f?\nAnswer: 182058902*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000142454 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 55 = -439. Let j = -88 + t. Let c(u) = u**2 - 8*u - 4. Calculate c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-188799)\/(-26)*46 + (-12 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -14. Suppose 0 = -i - 3 + z. Let h(g) = 2*g**3 - 2*g**2 + g - 1. Is h(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 323 + 302 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 451936909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 19*u**3 + 31*u**2 - 327*u + 58. Does 12 divide a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11528, -23076, -34624, -46172, -57720?\n\"Answer: -11548*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 680882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2158769\/1105 + 9769\/5. Let a = -10253\/3536 - x. Calculate the common denominator of a and -49\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/2*-2*0. Suppose 0*c - 2*c + 44 = d. Suppose l = -42 + 44. Calculate the least common multiple of c and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 36680, 73451, 110252, 147089, 183968, 220895, 257876?\n\"Answer: x**3 + 9*x**2 + 36737*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-4 - (-3 + -3)) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wkv. What is prob of picking 1 w and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 198085089 or 198085090?\nAnswer: 198085090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 811786125 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**2 + 3*t**2 - 4*t**2 + (2*t - 4*t + 0*t)*(-3*t + 3*t - t) - 5*t**2 + 2*t**2 + 2*t**2 + t**2 - 2*t + 2*t)*(-1 + 1 - 2*t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(605)*1 + -5 + ((sqrt(5) - sqrt(25)\/sqrt(5))*4 + sqrt(5) + (sqrt(15) - sqrt(240))\/sqrt(3))**2.\nAnswer: 15 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**36\/b))**(36\/7))**(-4\/11) assuming b is positive.\nAnswer: b**(4896\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8429 + 8429. Let a(u) be the first derivative of 0*u - 28 + 4\/3*u**3 + w*u**2. Let s(r) = 6*r**2. What is s(a(n))?\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(187)\/(sqrt(44)\/sqrt(4))*-3 - (sqrt(204)*2*3)\/sqrt(12)) + -2).\nAnswer: 12 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -39*d**3 + d**2 + d - 1. What is s(1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 1157132.\nAnswer: 5\/1157132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 801346 and 309764?\nAnswer: 36861916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6 + 3 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**2*v))**41*((v\/v**7*v*v)\/v)\/v**2 assuming v is positive.\nAnswer: v**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 o when three letters picked without replacement from {i: 6, y: 4, m: 3, o: 1, z: 5, u: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from xnxxuwuunu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3560.115641 - 0.1232.\nAnswer: -3560.238841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -7. Suppose -2*q + u = -q. Solve -3*k + 28 = -q*i, -k = i + 5 - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 143*y**2 + 3646*y + 1775. Calculate o(-110).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 10 = 14. Calculate the least common multiple of 15 and (-39 + y\/8)*18\/(-8).\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 116 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 8683 to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3 = -6. Suppose 2*t - 45 = -b*t. Calculate the remainder when 15 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*p, -2*b + 4*p = -0*p. Let m = b + 5. Let n = m - 5. Calculate the greatest common divisor of 28 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.49062 millennia to months.\nAnswer: 605887.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.45614815 rounded to 1 decimal place?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -35*s - 12. Let g(k) = -1. Suppose 4*n + 12 = -4*d, -d - 8 = 3*d + 3*n. Let c(w) = d*a(w) + 4*g(w). What is the first derivative of c(b) wrt b?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 76364, 152714, 229062, 305408?\n\"Answer: -i**2 + 76353*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1471 - 1470. Let h(v) = -v. Let t(q) = -10*q + 1. Let r(z) = 5*h(z) - t(z). Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -363063*j + 1089055. Calculate m(3).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (7 + (3 - 8)). List the prime factors of ((-31658)\/(-110))\/((-1)\/y).\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 6*k**2 + 2*k - 1. Let h be u(-7). Let b = 94 + -101. Let v = b + h. What is the highest common factor of 81 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 - 49. Find the common denominator of (-1955)\/(-1496) + (-3)\/s and 7\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 10460949158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-10) + 387\/15 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*(sqrt(95)*1 - sqrt(95)) - sqrt(95) - sqrt(95)) + sqrt(95) + sqrt(95)*2*-3)\/(-6*(sqrt(45) - sqrt(5)) - 3*(sqrt(5) - 2*sqrt(5))))**2.\nAnswer: 931\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1298 take away -36664.3?\nAnswer: 35366.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 692440906 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 6. Let y be ((-6)\/u)\/(2\/10). Solve -3*v = 3*h + 18, -h - y + 3 = -2*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -242*p**2 - 5*p + 463*p**2 - 230*p**2 - 10. Let w(b) = -14*b**2 - 8*b - 16. Let z(d) = -8*i(d) + 5*w(d). Let c(q) = -11*q. Calculate z(c(v)).\nAnswer: 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1368228 divided by 38.\nAnswer: 36006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25092441 divided by 20187.\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57802166?\nAnswer: 2, 31, 149, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 832.5123 micrograms to grams.\nAnswer: 0.0008325123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 + -21101?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 2512 = -4*o. Let i be (o\/8)\/(1*-1). Let n = i + 71. What is the common denominator of -61\/2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 42 + 146 = 0. Let o = 68 + 62. Calculate the greatest common factor of o and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -602.5 - -603. What is the nearest to 0.1 in y, -1\/9, -5, 5\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/191544 and 139\/46230.\nAnswer: 64167240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2531*g**5 + 18*g**2 + 276634*g wrt g.\nAnswer: 50620*g**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does -32870966\/7 = -4695853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72489.7*3.6.\nAnswer: 260962.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, v: 4, g: 3, n: 2, a: 3, p: 1}. What is prob of sequence gpn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1184.725 + -2.725. Let w = 921.2 - q. Round w to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 64 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*h + 207*h = -2043 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 88 = v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 11 + (0 - -7) - (-39 - -18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -3*u + 37, -4 - 6 = 2*j. Let p = u - 11. Is 2635\/9 - p\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 9*a**2 - 65*a + 15. Let t(m) = -m**2 + 5*m + 21. Let p be t(7). Let r be q(p). Solve 0 = 5*d + 14 + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5*y - 125. Let m(d) = 7*d**2 - 68*d + 7. Let i be m(9). Is c(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mbjmh. What is prob of sequence bm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6386689 is divided by 679?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.9 + -5. Let z = 4.6 + -0.6. Let f = -3.1 - -3. Which is the nearest to f?  (a) s  (b) -0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2058*r - 4*r**2 + 2058*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 14, c: 5}. Give prob of picking 1 i and 1 c.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 13*v**2 + 11*v + 3. Let g be (1 - -1)*(5 + -4 + 47). Suppose -2*j - 6*j = g. What is the remainder when m(j) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -z**4 + 707 + 31*z**4 - z**3 - 52*z**4 - 19*z**4 - 2*z**3 wrt z.\nAnswer: -164*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1050510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*h - 105*h + v - 10 = 0, 2*v + 11*v + 65 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -750 - 126*t**2 - 47*t**4 + 1575*t + 3*t**5 + 366*t**3 - 1158*t**2 + 144*t**2 - 7*t**4.\nAnswer: 3*(t - 5)**3*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 12905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -765.87 + -6.13. Let q = -771.6 - i. Let h be ((-2)\/(-6))\/(4\/18). What is the nearest to 1\/3 in h, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 34*l**3 + 308*l**2 + 108*l + 822. Determine b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1234858 and -2?\nAnswer: 1234856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*d - 22*d + 1737926. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*u - 48*u + 22*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -118665\/7 - -593402\/35. Find p such that 6\/5*p**4 - 2*p**3 - 1\/5*p**5 + 0*p**2 - 6\/5 + d*p = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3328065 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 70.06 + -68. Let m = a + -0.06. Let t = 615.1 - 615. What is the second smallest value in t, m, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -r - 30 + 127, l + 3*r - 25 = 0. Let d = 47 - l. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/39*(-30)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 553 = 29*k - 47 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**2 + 42803*o + 1416069 wrt o.\nAnswer: 2*o + 42803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -68 - -157. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 60 + -71. Let p(o) = o**2 - 3. Let a(l) = -5*l**2 + l + 16. Let q(c) = -3*c**3 - c. Let n be q(-1). Let k = n + -6. Give k*a(y) + m*p(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 11*r**2 - 24*r + 12. Give c(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of 0*t**4 - 1\/15*t**5 + 2*t**2 + 5 + 0*t**3 + 0*t. Let h(i) be the second derivative of r(i). Determine p so that h(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -798517, -1597032, -2395547?\n\"Answer: -798515*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 - 2568*i - 36344.\nAnswer: 2*(i - 1298)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 - 252*y + 5. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 17 = 5*i, 3*i - 5*q = -2*q + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 3252578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -133 - -193. Let o(f) = -9 - 118*f + 55*f + z*f. What is o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485196098 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.08667078 + 0.0867. Round j to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.18. Let n = -3.08 - w. Let s = 0.032 - 2.032. Which is the smallest value?  (a) s  (b) n  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 148248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 times 673.3?\nAnswer: -20199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**3)\/(z\/(z\/z**0))*((z\/z**(-5)*z)\/z*z)\/z*z**(-3)*((z**0)**(-2\/33))**(1\/3) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 53\/(1 - (4 + -2)). Let w = j + 84. Let l = 22 - 5. Calculate the remainder when w is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 554630489049 - 4.\nAnswer: 554630489045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 380016.6 millilitres to litres.\nAnswer: 380.0166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(128) - (sqrt(128) + (sqrt(128)*2*-1)**2)).\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1323 - -1330. Suppose 3 = -i + z, 0*z = -5*z + 20. What is the least common multiple of f and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 441*b = 4*s + 444*b - 32231, 5*b = 5*s - 40245. Does 82 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4663, 4664, 4665, 4666?\nAnswer: 4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 + 55?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 88785014*j**6 - 210*j**2 - 794*j + 1?\nAnswer: 10654201680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-4 + 3 + 7 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 9*h + 7*h - 420. Let y(g) be the second derivative of 29\/6*g**3 - 17\/12*g**4 + 0 - h*g + 0*g**2. Find the second derivative of y(s) wrt s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1\/2, -1.5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11318 + -11319. Is -2\/27481 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 965036.24 rounded to the nearest 100?\nAnswer: 965000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 1. Let q be k(2). Let o(r) = 31*r - 49. Let u be o(5). Let d = 116 - u. Solve 5*p = -10, -q*p - d = -c - 3*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**5 - 1185*k**4 - 4680*k**3 - 4660*k**2.\nAnswer: -5*k**2*(k + 2)**2*(k + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 - s**2 - 3*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22b (base 16) to base 15.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 144 + 76. Let b = -109 + c. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 + 510116?\nAnswer: 510105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o - 92. Let p(j) = 4*j. What is u(p(l))?\nAnswer: 8*l - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78584233?\nAnswer: 7, 13, 67, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 173*w - 13172 + 16978 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/23  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 3:04 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 5*g + 39 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63\/2 - 32. Suppose -1 = 5*x - 4*x. Let p = -1.1 - -1. What is the nearest to p in x, 1\/8, a?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-21))\/((-5)\/(-35)). What is the highest common factor of 16 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12250892 and -0.10415?\nAnswer: 12250892.10415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.52 + 0.5. Let r = 0.08 - t. Let w = -0.03 + -0.07. Which is the closest to w?  (a) r  (b) -3\/7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = 7*p - 12*p. Let g be 100\/3 - 12\/p. Suppose -2*o + 221 = -g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 7*l**3 - 3*l**2 - 2*l + 2. Let z(y) = 20*y**3 - 9*y**2 - 6*y + 5. Let q(j) = -17*o(j) + 6*z(j). Determine q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 12*a. Let t be z(12). Let b(p) be the third derivative of 0 + 0*p + 2*p**2 + 1\/30*p**5 + 1\/12*p**4 + t*p**3. Factor b(d).\nAnswer: 2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -8. Suppose 0 = 33*c - 34*c + n. Let y = -2 - -3. What is the smallest common multiple of y and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-112499)\/(-608) - (-2)\/(-64). Solve -19*p = c - 318 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200011000 + -10222200?\nAnswer: 2112011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 7:12 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38402 - -38401. Let l = 229\/3 - 75. Which is the second smallest value?  (a) g  (b) l  (c) -8\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*a**3 + 2 - 1 + 0)*(-5 + 1 + 2).\nAnswer: 22*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 55132?\nAnswer: 55135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(25)\/(-3*sqrt(320) + sqrt(320)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = p. Suppose -4*g + p*g - 5*c = -108, g - 4*c - 6 = 0. Calculate the remainder when 81 is divided by g - (-4 - -1) - 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 12 - 3 = -3*x, -4*i = 4*x - 20. Let j(c) = c - 6. Let p be j(7). Suppose 0 = -6*z - 1 + p. Solve z = q - i - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140 and 403718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2993566602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 3\/4, -917?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y**3 + 2*y**2 - 1. Let f be 1*(-3)\/((-3)\/(-7)). Let h(c) = c + 6. Let r be h(f). Calculate k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/13 or 260?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*u - 7 - 15, 4*u - 17 = 3*k. Let i(t) = -t - 2. Let r(z) be the first derivative of -z**2\/2 - 3*z + 2. Let w(s) = k*i(s) + 2*r(s). Give w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j\/j**14*j)\/j*j*j)\/j)**(-6)\/(j**35*j*j\/j**(-5\/7)) assuming j is positive.\nAnswer: j**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 66 + 3. Let z be 2 + -1 + h + -1. Let y = -44 + z. Solve 0 = -5*x + 25, y = w + 2*w + 2*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -0*d + 2*d - 3*z, -d - 1 = z. Suppose 0 = j + 4*k - 103, -j = 5*k + 4 - 104. Let a = j - 104. Solve d*p = -2*w + 26, 0*w + 3*w = p + a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j - 16 = 0. Suppose 0 = 5*n + r - 16, -r = -4*n - 3*r + j. Suppose -n*q = -18 - 2. Solve 5*u = -10 - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442439 is divided by 26024?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -4, 3, 12, 23, 36?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5338 - 671 = 13*f. List the prime factors of f.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 287 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 - 599*n**2 - 5*n**3 + 599*n**2.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 16*t + 28*t - 26*t + 134 - 134. Let z(r) = r - 1. Let f(b) = -10*b + 8. Let m(x) = -f(x) - 8*z(x). What is h(m(a))?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of 0 + 0*g + 1\/300*g**5 + 1\/60*g**4 - 5*g**2 + 1\/30*g**3. Factor a(i).\nAnswer: (i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c47634 (base 15) to base 13\nAnswer: -1c20355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 - (206 + (-109 - -7))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5*sqrt(88)*2 - -2*-2*sqrt(88))\/(sqrt(88)\/sqrt(99) - (2*sqrt(80))\/sqrt(10)).\nAnswer: 72*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/15, -0.031, -4 in decreasing order.\nAnswer: 2\/15, -0.031, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m - m + 3*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105245 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1695 and -105?\nAnswer: 177975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 - 4*w**4 + 0*w**4)*(w + 0*w - 2*w) + w**4 + 3*w**5 + w**4 - 2*w**5.\nAnswer: 3*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 2*u - 12. Suppose v = -u*v. Suppose v = 2*w + w - 12. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 44 + -43. Let w be 8\/(-6)*i\/(4\/6). Suppose -4*j - 2 = -3*r, 2*j - 3 - 1 = -r. Which is the closest to w?  (a) j  (b) -1\/4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 3  (b) -0.4  (c) 4\/7  (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 9:26 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101111000110110 (base 2) to base 11.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/11 - (-24)\/11. Suppose 0*b - z*l + 8 = 2*b, -4*b - l + 10 = 0. Find the second derivative of 0*p + 3*p**b - 2*p - p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 4 = 3*m. Let w = -4 + m. Find the second derivative of w*s**2 - 3*s**2 - 3*s + s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -703 + 706. Let x = 0.1 + -0.1. Sort 1, x, k.\nAnswer: x, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*n**3 - 27 - 20 + 47.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q + q + 0 - 9*q**2 + q**3 + 8. Suppose 697 - 186 = 33*i + 214. Determine f(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1570 and 10?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*b**2 + 70*b**2 + 68*b**2 - 165*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -43 (base 7) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16) - 2*sqrt(16))*-1)\/sqrt(8).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -13744 and 9.\nAnswer: -13735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = o - 1, 2*o + 4 = o + s. Let i be o + (5 - -1) + 3. Let d be (-2)\/(-6) + 22\/i. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/5 and (602\/(-154))\/(1 + 0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 13*u**5\/5 - 3*u**4\/4 + 2*u**3 + 3*u**2 - 732. Find the third derivative of k(r) wrt r.\nAnswer: 312*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -4*l**3 - 11*l**2 + 8*l - 7. Let a(k) = 3*k**3 + 7*k**2 - 5*k + 5. Let b(d) = -7*a(d) - 5*q(d). Calculate b(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 - 3*b**2 + 0*b**2)*((3*b - 7*b - 4*b)*(b + 3 - 3) + 2*b**2 + b**2 - 4*b**2).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/(-9))\/(4\/6). Suppose o*b + 38 = -3*q, 0 = q - 3*b + b + 2. Let k(s) = -s**3 - 8*s**2 + 4*s + 3. Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n = -74 + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 89*d**2. Let f(p) = -3141 + 6254 - 3113 - 42*p**2. Determine k(f(g)).\nAnswer: 156996*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1392 and 870?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.3 - -0.3. Let i = 19 - 9. Let k = 7 - i. Which is the nearest to q?  (a) -2\/13  (b) 0.3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 3:10 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0548 - 0.29149.\nAnswer: -0.34629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*i - 43*i + 143*i = -1575 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 14*w**2 - 25*w - 9. What is h(12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2662*x**2 + 94. Let k(l) = -333*l**2 + 11. Calculate -4*c(z) + 34*k(z).\nAnswer: -674*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 82, 175, 268, 361, 454?\n\"Answer: 93*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 1830 = 4*n + 7178, -4*i + 9018 = -2*n. Suppose 0 = -5*u + i - 362. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 10 = -2*q. Let f = q - 2. Let u be (f\/(-3))\/(-1) + -2. What is the nearest to -0.1 in u, -1, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 102.72 + -101. Let f = -12.2 - -13. Let s = f - q. What is s rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24769\/10 + 1\/10?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8116*g - 851 = -8153*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -255*i + 253*i + 70. Solve -10*g = 4*s - 7*g + i, 30 = -4*s - 2*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/83 + 51\/664. Put f, -1, -0.2 in descending order.\nAnswer: f, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v\/(v*v**(2\/3)*v)*v)\/v)*v\/(v**13\/v)*v**(27\/2)\/v**(-1\/21))**(2\/9) assuming v is positive.\nAnswer: v**(73\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*n = -3*h + 27, 3*n = 4*h - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 14602?\nAnswer: 14602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*h**2 - 24*h**2 + 8*h**2 + (-2*h + h + 0*h)*(2*h + 0*h + 0*h) + 1 + h**2 - 1 - h**2 - 2*h**2 + h**2 + 2*h**2 + 0*h**2 + 0*h**2 - 2*h**2 + 1 - 1.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1233 * 3282.9\nAnswer: 4047815.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 8 = -2*r, 2*r = -5*f + 456. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 3*k**4 + 2 + 56*k**3 - 2*k**2 - 37*k**3 + 2*k - 2 + 129*k**3 in the form s*k**2 + m + z*k**3 + v*k + y*k**4 and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -530, -531, -532, -533, -534, -535?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*p + 398, 6*p - 2*p - k = -325. Is p at most -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -1999*t**2 + 2*t + 1. Let x be p(-1). What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718465 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 255323 + 41311?\nAnswer: 341034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -1752*t. Let y(z) = -11228*z. Give o(y(p)).\nAnswer: 19671456*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 3102?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179384719.\nAnswer: 19, 97, 131, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**3 + 5*a**2 + 5*a - 5. Suppose -15 = -14*w + 9*w. Let g(t) = t**3 - t**2 - t + 1. Calculate w*i(z) + 15*g(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 11*u + 10. Let v be b(10). Suppose -1 = y - v. Does 8 divide -1 + (-16)\/y + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 + 4*i + 3. Let u be r(-2). Suppose -261 - 18 = -u*n. Suppose 0*o - n = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p**2 - 4*p - 15. Let y be k(6). Let q = y + -37. Let i = q + 2163. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -7 + -8 + 4 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 122947.6374s in weeks?\nAnswer: 0.2032864375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/15 + (-8)\/(-6). Suppose -2*b = p*b + 12, 2*a + 3*b = 11. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -18  (b) 1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4223 is divided by 470.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27269 - 27171. Let w(j) = 3*j**2 - 8*j - 4. Let t be w(6). Calculate the highest common divisor of t and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 102140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 164777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/10)\/(54\/(-2520))*3204\/(-1246)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 2*u + 8, -u = 4*r + u - 16. Suppose 0 = -r*f - 0*f + 12. Suppose m + 11 = 3*d - 2*d, -d + f = m. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1470 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11\/(33\/24) - 6. Put -1, -5, 43, c in ascending order.\nAnswer: -5, -1, c, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25\/(-10)*((-552)\/200 - -3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2. Let c be 1\/((-6 + 3)\/(-18)). Let y(k) = -1 + 1 + c*k**2 - 4*k**2. Determine y(i(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8\/13, 32, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 7:23 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17262 and 1714692.\nAnswer: 5144076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -498 - -493. What is the closest to -0.1 in -0.2, b, -75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35195445, -70390885, -105586325, -140781765, -175977205, -211172645?\nAnswer: -246368085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -115 + 205. Let o = -90.065 + f. What is o rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 2*m. Suppose m = -3*t + 9 + 12. Let y = 63 + -60. Solve -y*w + t*w - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 1 = -t + 11, 22 = -t - 5*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 divided by 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 92144291\/439426 - 3\/33802. Is f less than 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29479.4 years to millennia.\nAnswer: 29.4794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*s - 576 = -481 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 6 - 5 - 1 + 2. Let j be ((-3)\/(-9))\/((-2)\/24). Let d be (j - (-56)\/12) + 8\/6. Let z(o) = -o**3 - 5. Give d*z(n) + 5*p(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -123 + -107. Round x to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u = 84*l + 92*l - 181*l + 497, 8*u = -l - 47 - 373 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*z + 1839 + 1846, 0 = -5*z + 4*o + 6144. Calculate the remainder when z is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -1. Suppose -3*z + z + 86 = 0. What is the remainder when z is divided by (2 - 7)\/((-2)\/l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3299825816 + 51590343. Let d = r - -3248236141.9999709. Let g = 669 - d. Round g to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 481550 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 - 2*v + 9. Let h(s) = -2*s**2 - s + 9. Let d(f) = -4*c(f) + 3*h(f). Let g = 7 + -12. Let n(r) = 3*r**2 + 8*r - 14. Give g*n(p) + 8*d(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -35889000\/19 greater than -1888894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 365730 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 1\/2  (b) 1  (c) 0.3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 21 - 3*q**2 - 22 + 2*q**4 + 3*q**2 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1738 and 80534575?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 658*c**3 - 3*c - c - c)*(6 + 6 - 1).\nAnswer: -7238*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 737595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3520 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -239*w + 2*f - 27 = -236*w, 37*f - 212 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w. Suppose w*g + 3 = 4*g + j, 5*j + 21 = -2*g. Solve 3*r - 3*r + r**g - r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**2 - 20. Let v(t) = 441*t. What is b(v(m))?\nAnswer: -388962*m**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14729 by 2.\nAnswer: -14729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 4:52 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11652 - 20.2.\nAnswer: 11631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.1 + -0.1. Let o = -2.11 + 8.07. Let a = o - -0.04. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*l = 4*s - 287783, l = 5*s - 359722. Let n = s + -140957\/2. Let t = n + -1428. What is the common denominator of 16\/9 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1897?  (a) 54.3  (b) -37  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 770316.2ml in litres?\nAnswer: 770.3162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2574.06ms in microseconds?\nAnswer: 2574060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of 0 - 10\/3*z**3 + 4\/3*z**4 + 20*z - 1\/5*z**5 + 4*z**2. Let n(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 11:14 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 96*z**2 - 650*z + 3872. Let o be f(102). Let h(u) = -15*u**2 - 2. Let j be h(-2). Sort o, j, 1 in decreasing order.\nAnswer: 1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6110922 kilometers to millimeters.\nAnswer: 611092.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 9*d. Let u(p) = -p - 1. Let w(s) = 5*s + 6. Let r(t) = 6*u(t) + w(t). What is r(b(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -11, -0.1, 0.3, 2\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/43?  (a) -2  (b) 2  (c) 17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*m - 417 = 78 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5023369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 17325708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30306 - -56?\nAnswer: 30365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1207*g - 968*g = 3585 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -149\/120 + 11\/8. Which is the second smallest value?  (a) -3  (b) v  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34 - t - 60 - 66 + 0*t to the form w*t + m and give m.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 222\/78 + 6\/39 - -404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (2 + -5) - (-9 - (-10 + -12 + 12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 = -3*t + 281. Which is greater: -32\/7 or t?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35897 - 107341\/3. Let 8*r + 98\/3*r**4 + 176\/3*r**2 + 0 + l*r**3 = 0. What is r?\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/13*n**2 - 6\/13*n**3 + 2\/13*n**4 + 0 + 0*n.\nAnswer: 2*n**2*(n - 2)*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1069 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(343) + 2)**2 + 6*4*sqrt(42)\/sqrt(6).\nAnswer: 52*sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -62 - 19 - (-7 + 2). What is the units digit of p\/(-10) - (-6)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {v: 1, i: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zxxxzxtwzzxzwrwxz. What is prob of sequence rxzx?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 576072\/(-18144) - (-1 + 18\/8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + d - 1. Let w(u) = -u**3 - u**2 + u - 1. Let v(k) be the first derivative of -k**2\/2 + 10*k + 4. Let s be v(8). Determine s*z(h) - 2*w(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 7*a**2 + 11*a - 3. Let s(t) = -15*t**2 - 23*t + 6. Let q(b) = -13*g(b) - 6*s(b). Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 4*y - 4. Let o be s(-5). Let f be o\/3 + (-598)\/(-6). What is the greatest common divisor of f and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -2*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000061957649 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3\/4, -0.4, -12, -1.5, 171, -0.041?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 283338\/(-2332)*(-3 + (-112)\/(-36))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p + 4. Suppose 4*c - 2*o - 24 = 0, 2*o + 9 = -3*c + 4*c. Let s be m(c). Suppose -s*v + 9*v = -160. Calculate the remainder when 28 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/27)\/(8\/(-24)). Is -127 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 162 or 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 3*c + 37, -3*h - 12 = -7*h + 2*c. Suppose 1358 = h*s - 35837. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**5 - 940*u**4 + 109506*u**3 + 221840*u**2 + 111392*u = 0.\nAnswer: -1, 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -70*a. Let g(o) = -2*o**2 + 6*o**2 - 2*o**2. Determine g(n(x)).\nAnswer: 9800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-570)\/48 + -1 + 1. Let b = w - -1441\/120. What is the biggest value in 3, -3\/5, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-24)\/5)\/(-2))\/((-2)\/(-5)). Solve -4*v = 26 - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 800\/1351 + -4\/193. Let n be 1*-4*6\/64. What is the second smallest value in j, n, 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18776466 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: Put -1, 3, -829, 5, 4 in descending order.\nAnswer: 5, 4, 3, -1, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -164167 - 65?\nAnswer: -164254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 9*b**2 + 11*b - 8. Let j be d(10). Suppose 0 = -5*x - 2*n - n + 20, -j*n = 4*x - 16. Solve r - 1 = -3*t - r, -2*t - 2 = x*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/152 + (2\/28)\/(((-114)\/1244)\/3)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ybtbytfhbbbtb. Give prob of sequence hb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 1189.43889 to 0 decimal places.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 10962744?\nAnswer: 164441160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -544, -552, -556, -556, -552?\n\"Answer: 2*w**2 - 14*w - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4ec + 3?\nAnswer: -4e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - (-1564 - -8) - 6. Let a = o - 901. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4414*c*q**5 - 458669*c*q**2 + 52*c + 3296*q**4 wrt q?\nAnswer: -264840*c*q**2 + 79104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**2 - 4*h + 24. Suppose -98 = 7*p - 7. Is t(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49237\/14658 - 2\/1047. Let z be ((-108)\/(-4))\/((-2)\/(-1)). Let c = 26 + z. What is the common denominator of c and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -1. Let k(w) = -2*w + 10. Let u(r) = -30*h(r) - 3*k(r). Let m(c) = -4*c. What is u(m(f))?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1022, -2042, -3062, -4082, -5102, -6122?\n\"Answer: -1020*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 - 3*x**2 + 2*x - 4. Let u be c(2). Let v = -0.044 - 2.056. Let j = 0.9 - v. What is the nearest to 2\/3 in j, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5032 + -654?\nAnswer: -5706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -24, 2 in increasing order.\nAnswer: -24, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rqq when three letters picked without replacement from qkrkqkkyryqk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lliilbljbijlllljl. Give prob of picking 1 i, 1 l, and 1 j.\nAnswer: 81\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 - 12*s**2 + 32 + (1 + 1 - 3)*(-5*s + 3*s + 4*s)*(6*s - 2*s - 3*s) to the form p*s + b*s**2 + j and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 481880950 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345583278 a multiple of 1668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 2, m: 7, l: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*k + 17 + 73. Solve -6 = -2*j + k*w, -2*w = 4*j - w + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 0*j - j + 7 = 0, -5*p - 4*j - 17 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9925 + -9969. Which is the closest to l?  (a) 0.5  (b) 0  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**8*o*o**(-1\/5)*o**(-2)*o\/o**(-1\/3))**26 assuming o is positive.\nAnswer: o**(3172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z. Let f(t) be the first derivative of -t**3\/3 + 7. Give m(f(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g**2 + 15*g + 53. Is q(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 4:16 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -79*q**4 - 10*q**3 - 2*q**2 - 5*q + 121?\nAnswer: -1896*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z. Let d(c) = -3*c**2 + 4*c. Let x(k) = -k**2 + k. Let w(q) = d(q) - 4*x(q). Give o(w(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8887, 36235, 81821, 145645, 227707?\n\"Answer: 9119*k**2 - 9*k - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 27209*i - 12 - 10 - 86*i**2 + 27209*i to d*i**2 + j + v*i and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - o**4 - 3 + (-2*o - 1 + 1)*(619588*o**2 + 5*o**3 - 619619*o**2 + 5*o**3) in the form h*o**4 + l*o**2 + k*o + v*o**3 + n and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -93 - (82 - 162 - 34)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -0*z - 2. Let d(v) be the second derivative of -2*v**3 + 3*v**2\/2 - 2*v + 7. Calculate d(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/8*1 + (-625)\/200.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 503980 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 385287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -5*q**3\/6 - 11*q**2\/2 + 2*q. What are the prime factors of d(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/2))**(2\/9))**(-2\/73)*(((n\/(n**(-1\/3)*n)*n)\/n)**(11\/8))**(-6\/13) assuming n is positive.\nAnswer: n**(-7123\/34164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27.0326 - -0.9674. Which is the smallest value?  (a) -5  (b) d  (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/460*(24 + (-390)\/15)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 834 = -3*r + d - 4*d, 0 = -2*r + 4*d - 580. Let f be ((-18)\/(-27))\/(4\/r). Let b = f - -60. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -715, -717, -721, -727, -735, -745, -757?\n\"Answer: -l**2 + l - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252291 is divided by 1195.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 14 + 9 + 7*h as l*h + c and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v. Suppose -6*h - 90 = 28*h - 4*h. Let u(q) = -20*q. Give h*l(x) - u(x).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 187619 times -9?\nAnswer: -1688571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 143106 and 3519?\nAnswer: 429318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1768*p**3 + 868*p**3 - 11*p**4 + p**5 + 897*p**3 + 3485*p wrt p.\nAnswer: 20*p**3 - 132*p**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-12))\/(4\/198). Let b = -8 - z. Suppose 16*i - 47*i + 31 = 0. What is the third smallest value in i, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -20. What is the remainder when 1 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (1*sqrt(405) - sqrt(405)))**2 - sqrt(360)\/(sqrt(56)\/(-1*sqrt(7))))*-3.\nAnswer: -27 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1745924819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 282*m = 260*m + 698918. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74101?\nAnswer: 74101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 15 + 5 + -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uvuvvudd. What is prob of sequence uvdu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 5)*(-s**4 + 12*s**4 - 6*s**4) - 3 + 3 - s**4.\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2021375312 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -199a - 4?\nAnswer: -199e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by -417\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -898*q**2 - 7192*q - 83. Determine s(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/13 + 68*f**2\/13 + 640*f\/13 + 1024\/13.\nAnswer: 2*(f + 2)*(f + 16)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4103696.8 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3652 is divided by 192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -14. Suppose p*h - 23 = 2. Is 6 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 5:34 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144725312 and 2784?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54125899 a multiple of 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 - (-9)\/((-45)\/10))\/(-2). Let h = 37.57 - 38. Let l = -0.03 - h. Which is the third biggest value?  (a) l  (b) u  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 48*i + 995 + 1309. Put 3\/7, i, 0.5, -2, 3 in decreasing order.\nAnswer: 3, 0.5, 3\/7, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**4\/12 + 17*o**3\/6 - 2*o**2. Let d be s(7). Suppose -2*p = -71 - d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of -y**7\/42 + y**6\/10 + y**5\/2 + 7132*y. Factor m(u).\nAnswer: -u**3*(u - 5)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 314892 and 2916?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**6\/135 - b**5\/30 + b**4\/27 - 30*b + 9. Let s(z) be the first derivative of v(z). Factor s(x).\nAnswer: 2*x**2*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 - -40. Suppose -2*c + 407 = y*q + 2*c, 75 = q + 4*c. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v - 3. Let n be y(6). Let c = n - -67. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -351*u**4 - 11*u**2 - 215*u**2 + 43*u**4 - 236*u**2 wrt u?\nAnswer: -7392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(252) + sqrt(63) + -2 + sqrt(63) + -1)**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 493362?\nAnswer: 2, 3, 27409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 5*g. Let c = 590 - 628. Let z(m) = -4*m - 148. Let y be z(c). Determine u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 588*l**2 - 28486*l - 674. What is f(-633)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2975, -2991, -3009, -3029, -3051?\n\"Answer: -a**2 - 13*a - 2961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11205 divided by 747.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 46.96 - 47. Suppose -2*d - p = 4 - 5, 2*p = 3*d + 2. Sort d, 0.2, c.\nAnswer: c, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.776 - 1131442.\nAnswer: -1131441.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-700)\/225*99\/(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*m**2*s + 8*m**2 + m*s + 33*m - 1228*s - 108 wrt m.\nAnswer: 28*m*s + 16*m + s + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85940, 171889, 257838, 343787, 429736, 515685?\nAnswer: 601634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 10. Let p = -23 - -22. Let u be (3\/o)\/(-3)*p. Which is the smallest value?  (a) 0.3  (b) -1\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2 + 2*d + 2 + 0*d + 0*d**2 - 5. Let f be (-58)\/(-8) + 1\/(-4). Is c(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000318256 to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 7\/7 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.4 and 273635.\nAnswer: -656724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3 + -2*(-5 + 3*sqrt(2057) + 2)*5 + -3)**2.\nAnswer: -15840*sqrt(17) + 1851878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}