diff --git "a/data/dm_maths/full_data/10329_11255.jsonl" "b/data/dm_maths/full_data/10329_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10329_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w = -5.13 + 0.13. Let f be 87\/27 + -3 - (-15358)\/63. Let k = f - 483\/2. Which is the closest to 0? (a) w (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072859774.5 take away -395?\nAnswer: 1072860169.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43363.63 centuries to millennia.\nAnswer: 4336.363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 899375*n**3 - 15*n**2 - 128688565*n wrt n.\nAnswer: 5396250*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 - 2*i - 1. Suppose 4*m + 961*r - 962*r = 13, -3*m + 3*r = 6. Let u(o) = 8*o**2 + 2*o + 1. What is m*t(v) + 6*u(v)?\nAnswer: 3*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u - 689. Let k be n(-33). Calculate the greatest common factor of 508 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 33400*j**3 - 55644240*j**2 - 446758400*j - 894586880.\nAnswer: -5*(j - 3344)**2*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 96*g**2 + 6*g - 16. Does 33 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3435, 3434, 3429, 3420, 3407, 3390?\n\"Answer: -2*z**2 + 5*z + 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/13 (b) -0.33 (c) -0.1 (d) 3\/2 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3803194 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2261305644?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 + -4)) + -7 + -3 + 24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - 5*p - 6. Let l be j(5). Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-1)\/(5\/(-365)). Let f = y + -36. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4234 (base 5) to base 9\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(612) + sqrt(612) + 1))**2 - ((-1 + sqrt(612))**2*6 + 5))*3*2.\nAnswer: 1728*sqrt(17) + 110148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 43*q**3 - 86*q**3 + 7*q**2 - 7*q**2 + 50*q**3.\nAnswer: 7*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(2 - (1 - -4)). Let h = 1273 + -1271. Find c, given that 0*c - 2\/3*c**h - 2\/3*c**z + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 21*a + 3 + 9*a - 7 - 7*a**3 + 10*a as b + h*a + d*a**3 + k*a**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((15\/20)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*a + a**2 + 0*a**2 - 18*a - 6*a**4 + 5*a**4 + 35*a**3 - 40*a**3 as c*a**3 + b + p*a + q*a**4 + z*a**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*i + 45003 = 1503*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*m - 269 = 2*m, 0 = v - m + 52. Let w = -53 - v. Let r be (-1)\/w - 2\/(-4). Solve x = -r*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749486999?\nAnswer: 3, 13, 44858641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 1963*p**3 - 427*p**2 - 6*p = 0.\nAnswer: -2\/151, 0, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1839 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 3*b. Let y be d(-1). Let f = 15 + -9. Find the third derivative of -19*h**y - h**6 + 9*h**6 + f*h**2 wrt h.\nAnswer: 960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1191 * -116215\nAnswer: -138412065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2414.8 + 2415. Which is the nearest to z? (a) 2\/7 (b) -18\/31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 + 18*s + 41. Let h be g(-8). Calculate the highest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1877604 and 33.\nAnswer: 20653644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172883735.\nAnswer: 5, 11, 39506977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -781, -670, -479, -202, 167?\n\"Answer: p**3 + 34*p**2 + 2*p - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*z - 64 = 0, -3*z - 23 - 41 = -4*p. Calculate the highest common factor of 992 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - (-2 + -6 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juwydyu. What is prob of picking 1 y and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 177 - 33 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 78 = 6*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuazauuzehhzzhn. Give prob of picking 1 e and 1 n.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*2*(-4 - 63\/(-14)). Solve i*m - m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfffcccccccccfccc. What is prob of sequence fc?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121917.83 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from phxrwxxprxhhxfx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**3 - 5*s**2 + 4*s - 4. List the prime factors of g(3).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:40 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m**2 - 6*m - 6. Let a be n(-5). Suppose 2*r + 2*r = -4*p - 8, -5*p - 2 = 3*r. Let t be ((-32)\/(-40))\/(r\/10). Is a greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3637337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j - 4*m, j = 5*m + 2 + 3. Suppose j = 5*b - 14 - 41. What is the common denominator of 115\/6 and (42\/16)\/(6\/b)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*f + 5*u, -4*u = 5*f + u - 155. Let h be ((-26)\/(-4) + -3)*4. Differentiate -f*d - 5 - h + 3 - 1 with respect to d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*j - 5, -5*k + 10*k + 12 = 3*j. Let p(x) be the third derivative of x**5\/60 + 5*x**4\/24 + x**3 + x**2. Give p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56126\/153 + -6240\/17. Which is the closest to 0.1? (a) -0.1 (b) 3 (c) -109 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 242 = 4*m - 0*y, -4*m + 234 = -y. Calculate the remainder when m is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(25*o - 25*o + 12*o)*(-1 - o**2 + 1).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 20*j - 213. Let a be g(11). Let r(v) = v**2 - 11*v + 20. Let n be r(a). Let x(d) = -7*d + 3. Let o(b) = -20*b + 8. Calculate n*x(s) + 3*o(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c - c + 0*c)*(2 - 5 + 4)*(-22 - 95 + 34)*(-6 + 6 + c).\nAnswer: -664*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257503573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -102. Let v = q + -6. Suppose -5*h + 19 = 4. Calculate the lowest common multiple of v and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411265*i**2*s + 59*i**2 + 130*i*s - 11*i - 14805*s + 2 wrt i?\nAnswer: -822530*s + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57c - -14624?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104 and 7422291229?\nAnswer: 7422291125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:57 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 5*f + 6. Let d be i(-4). Suppose -1 = m, -g + 4*m = -8 + 1. Factor -t**2 + 5*t**3 + t + d*t**2 - 6*t**g - 1.\nAnswer: -(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4501 - 4497. Which is the second smallest value? (a) -1\/39 (b) g (c) 12 (d) 2\/15 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112250 - -10?\nAnswer: 112300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = 5 - 110 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -8 - (62 - -38 - 136)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/36 + -2 - (-8880)\/4320. What is the nearest to s in 6, 4, -0.1, -46\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*g - 27 = 0, 3*x + 2*g = 2 - 33 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 109 = -5*x, -3*x - 2*g - 97 = -32. Suppose -2*u - 22 = 4*b, -71*u + 73*u + b = -34. Do x and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 + 2*g**2 - 11*g**2 - 2 + 11*g. Is m(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o**2 + 55*o**2 - 81*o**2 + 9*o**2. Let c(s) = -34*s. Determine l(c(d)).\nAnswer: -1156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 14. Let z be g(-7). Suppose -i - 3*y - 8 = z, -2*i + 2*y = -0*y. Let c(h) = -3*h + 1. What is c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 52 = -3*n. Let g(v) = 2*v + 4. Let f be g(1). Suppose -f*o - 2*o = -104. What is the highest common divisor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 517184522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than 971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 141. Suppose -5*f - h + m = 0, 2*h - 6*h = 5*f - 30. Solve 3*c + 9 = d - 1, f*c + 16 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1695278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13552 = 68*w + 16*w - 6832 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 142. Suppose -3*w + 53 = o, w - a = -2*o + 2*w. Let s = 59 - o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3 - 3)*(-2*i + 2*i - 2*i**2)*(2 - 2 + i - i**2).\nAnswer: 6*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.27773 litres to millilitres.\nAnswer: 22277.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39806280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/27, 3\/34, 98\/9, -7 in descending order.\nAnswer: 98\/9, 3\/34, -10\/27, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748350 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -629 - -631. What are the prime factors of n\/(-15) + 681568\/885?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 18*o**2 - 2400*o - 969. Let k(l) = -17*l**2 + 2403*l + 968. Let f(g) = 3*k(g) + 2*m(g). Factor f(n).\nAnswer: -3*(n - 161)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1394\/195 + 28199\/39. Let i = -727 + d. Calculate the common denominator of i and (255\/102)\/((-3)\/11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*w - 15417 = -5557 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -830, -6503, -21906, -51905, -101366, -175155, -278138, -415181?\n\"Answer: -811*j**3 + j**2 + j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8597752.\nAnswer: 2, 1074719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 4. Let q be s(6). Let y be (5 + -2)\/(3 + q). Let j be 5 - (2 - (y - 3)). Solve 6 = -u + j*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 417.\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 1. Let k(o) = 7*o**3 - 5*o**2 - 7*o - 6. Let i(d) = k(d) + 6*y(d). Let g(n) = -n**2 + 11*n + 6. Let s be g(11). Calculate i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 2. Let g(l) = -5 + 26*l - 9*l - 19*l. Give -3*g(z) + 7*k(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108\/5, 2\/5, -9?\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 2350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/6 - 2*v**2 - 7*v. Let r(c) = -c + 3. Let q = 4 - 0. Calculate q*r(i) + 3*k(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 - -298.7. Suppose 5*b + 5 - 10 = 0. What is the third biggest value in b, n, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**31*g*g)*g*g**28 assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-10))\/(4\/10). Let d = b - -2. Solve 5*x - 7 = -4*r, 5*x - d*r = -6*r + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 165 = 338*h + 254. Let y(s) = s**2 - s - 2. Calculate y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 divided by -1?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:33 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 18 - 12. Let m be ((4 - 4) + a)*(-3 + 4). What is the third derivative of 4*b**6 + 5*b**6 + 21*b**m - 20*b**6 wrt b?\nAnswer: -1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 2261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*f = -12, 4*t - 5*t - 2*f = 2. Suppose -t*l + 8 = 0, -p - 5*l + 15 = -7. Solve -p*j + 5*j + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175530731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 0*s)*(-39*s - 31*s - 3*s**3 + 8*s + 6*s**3).\nAnswer: 3*s**4 - 62*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261292 is divided by 481?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1530 (b) 0.4 (c) -3 (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/((1*-4)\/(-2)). Suppose -5*u - 29 + 39 = k. Solve 0*q - u*q + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5199 (base 16) to base 2\nAnswer: -101000110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 20. Let q be (x\/6*-1)\/(6\/4). What is the closest to q in -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1229427 and 1229428 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -44. What is the remainder when 53 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15293479*r + 15293481*r - 13*r**3 + 0 + 3 - 3*r**2 + 3*r**2 - 30586960*r.\nAnswer: -13*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0277 - -0.5133. Let g = o + 0.059. Which is the nearest to -0.1? (a) 8 (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w + 1. Let f be r(1). Find the common denominator of -89\/16 and (-116)\/80 - f\/(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115178624515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 1619, 3644, 6469, 10088, 14495?\nAnswer: 19684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(24)\/sqrt(8)) + sqrt(429)\/sqrt(539))\/((sqrt(12) - sqrt(72)\/sqrt(6)*5)*6).\nAnswer: -sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + 8d1e63?\nAnswer: 8d1e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 16914.\nAnswer: -11\/5638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*x + 41 = 0, 15 = -2*z - 5*x - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 16440?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r, -y + 2*r = 4*r - 50. What is the remainder when 67 is divided by ((-2016)\/y)\/(4\/(-6) + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336 - -1230. What is the greatest common factor of z and 1827?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2791*o**4 - 82*o**3 + 2823*o + 59 wrt o.\nAnswer: 33492*o**2 - 492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 5 - 2*s + 3*s - s)*(-38285 + 91*s + 38285).\nAnswer: -273*s**3 - 455*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 3)\/((279\/36 + -9)*2). Let d(u) be the first derivative of -u**4\/4 - u**3\/3 + 3*u**2\/2 + u + 3. Calculate d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 62?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*w**3 - 81*w**3 + 8*w + w**2 + 172*w**3 + 8*w to the form u*w**2 + d + h*w + o*w**3 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08967 - -72.18967. Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -23\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -58\/3, 1\/11 in increasing order.\nAnswer: -58\/3, 1\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131.69168 - 132.27. Round q to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 - -91. Let m = 41 - q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(7*c - 3*c - 3*c)*(-5 + 0 + 3 - 2*c)*(6*c**2 + 2*c**2 + 3*c**2).\nAnswer: -44*c**4 - 44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 18*y**2 + 23*y + 10. What are the prime factors of q(17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5352637989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 697805610 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -220012\/9 and -24446 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 13650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6803016 to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60*80\/600)\/(((-16)\/(-248)*-1)\/(-1))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000924 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygvgygyg. Give prob of picking 2 y and 2 g.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42176.60882 + 42177. Round v to three dps.\nAnswer: 0.391","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 + 4*s + 4. Let v be i(4). Let p be 3\/((-33)\/v + -2). Suppose -5*m + 4*u = 0, -p*u = 4*m - 3*u. Solve m = 2*j + 8 - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 3 (c) 244 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 19*u**4\/24 - u**3\/6 + u**2. Suppose -19 = a - 32. Calculate the remainder when i(2) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35390547, 141562197, 318514939, 566248767, 884763675?\n\"Answer: -l**3 + 35390552*l**2 + l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623319202 to the nearest integer?\nAnswer: 24966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1666)\/(-6) + (-7)\/(-21). Suppose 4*m = 5*i - y, 0 = 2*i - i - 3*m - 60. Differentiate -i*b + 3*b**3 + 109*b - 27 - 58*b wrt b.\nAnswer: 9*b**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5714, 5715, 5716, 5717, 5718?\n\"Answer: g + 5713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-82)\/16 - -2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1023)\/22*(-14)\/(-546)*26\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(396) + sqrt(117) + -4)**2 - ((-4 + (sqrt(1300) - (0 + sqrt(1300))))**2 + (6*(2 + sqrt(1300)))**2).\nAnswer: -1685291\/36 - 4396*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 + 129. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(112))**2*1 + 0 - sqrt(140)\/((-2*sqrt(30))\/sqrt(6))).\nAnswer: -336 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 186 - 131. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-29) + 1119670\/(-12035) - -14?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521435378?\nAnswer: 2, 5281, 49369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.27113787 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(624) - (sqrt(624)*-1 + sqrt(624))))\/(sqrt(27)\/(sqrt(45)\/sqrt(45))).\nAnswer: 16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 9*y**3 + 9*y**2 + 3*y.\nAnswer: 3*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12e162 (base 15) to base 13\nAnswer: 25a4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -507 in -9, 0.13, 0.3, 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) -1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/28200156 and 107\/186756.\nAnswer: 28200156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 3. Suppose 5 + 43 = 12*w. Solve -4 = r*j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -58, -132, -236, -370, -534, -728?\n\"Answer: -15*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2617 (b) -3 (c) 1 (d) 0.8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28268 = 34*a + 6644. What is the remainder when a is divided by 123?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/5 + 563*o**2\/5 + 84352*o\/5 + 2830336\/5 = 0?\nAnswer: -64, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c74cc (base 13) to base 4.\nAnswer: -1113220223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 + 6*d**2 + 6*d - 4. Let r(a) = -5*a**3 - 6*a**2 - 6*a + 4. Let v(b) = -4*l(b) - 3*r(b). Let c be v(-5). Factor c*x + 4 - 13 + 6 - 6*x**2.\nAnswer: -3*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131822 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 127 + 14 = -2*f, -3*f - 684 = -5*v. Let w = -30 + 45. What is the greatest common divisor of v and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47559 and 851478.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.7. Let l = -0.1 + i. Let a = 0.6 - l. What is a rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93526 and 128251.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a2 - -7?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31684986 divided by 6?\nAnswer: -5280831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t = -84*t + 24, -49*t + 4 = 4*k - 46*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 8*m + 4. Let w be b(-4). Factor 2\/3*z**w + 0*z**2 + 0*z**3 - 2\/3*z**5 + 0 + 0*z.\nAnswer: -2*z**4*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -11, -2\/125, 505?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70881 is divided by 396.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 459.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 116 and -15864500.\nAnswer: -15864384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -1)*13\/26 + 16. Let z = l + -8. What is the smallest value in 2\/5, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d + 15*d + 37*d + 11*d + 281 + 14*d wrt d.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -71. Let q = 18 + -36. Let j = q - d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6495014 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -14 - -20 - 4949 - (0 - 1). Which is greater: -4941 or i?\nAnswer: -4941","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271\/(-91588)*((-147)\/8)\/(-7)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(5 - 3))\/((-33)\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/2)\/(21\/(-56)*4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 24 = -2*w, -108 = 5001*l - 5000*l + 9*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5 - 411*r**4 + 56307*r**3 - 2571353*r**2 = 0.\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354*s + 9223844 = 1517*s. List the prime factors of s.\nAnswer: 2, 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4 and -71\/3676.\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -714*d + 5747. Calculate s(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7632, -6001, -3286, 507, 5372, 11303, 18294?\n\"Answer: -x**3 + 548*x**2 - 6*x - 8173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0667 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(60)\/sqrt(48))**2 - (sqrt(50)\/sqrt(90))**2.\nAnswer: -65\/36 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 380484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12939, 52000, 117103, 208248, 325435?\n\"Answer: 13021*d**2 - 2*d - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 723987 + -510207. Suppose 699020 = -14*w - n. What is w rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5578017181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 18. Suppose 4 = 4*m, 4*r = -5*m - 34 + 363. Calculate the remainder when r is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from xlxbxdlxnnxdlxlxxnx?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 8, 5*g = 4*l - 59826. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37684, -76001, -114318?\nAnswer: -152635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + -15 - (-1 + 0). Let n be ((1 + -25)\/3)\/p. What is the lowest common multiple of (-4)\/(n\/3) + -1 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/6*24\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**3 + 2*s**3 - 4*s**3)*(2 - 2 - 2*s) + (124 + 115*s - 124)*(-18*s**3 - 7*s**3 + 8*s**3) to the form i*s**3 + x*s + b + w*s**2 + l*s**4 and give l.\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10890 rounded to the nearest one hundred?\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 12*r**2 + 8. Let o be p(8). Suppose 0 = 2*h - 3*j - 269, 2*j - o = -2*h - 0*j. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 5*l + 32. Let s be c(-13). Let u = 333 + s. What is the remainder when u is divided by ((-5)\/(-10))\/((-2)\/(-48))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 556 - 2166. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 7*b**2 + b + 10. Let w be q(-5). What is the tens digit of (w\/4 + (-5)\/(-10))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:23 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose -2*l + 15 = 3*l, 4*l = -3*c + 18. Suppose -h - c*h + 30 = n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -139, -142, -149, -160, -175, -194?\n\"Answer: -2*z**2 + 3*z - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.008149 or 146?\nAnswer: -0.008149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*u + 58*u = 15104. Solve -39*j - 120 = -u*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/11)\/q)\/q)**49 assuming q is positive.\nAnswer: q**(-1225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43920362 divided by -43920362?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 251 - 238. What is the remainder when 23 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 1. Let p(f) = 6*f + 2. Suppose -8 - 7 = 15*l. Give l*p(z) - j(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -36, 130, 420?\n\"Answer: 62*r**2 - 144*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the value of -2 + (8 - (-5 + 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 597, 627, 677, 753, 861?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-11)*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -84. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*x + 23*x + x**2 + 2 - 99*x**4 - 2*x**3 - 3 - 14*x + 2*x to the form a*x**4 + i*x**3 + j*x + b + v*x**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45999, -183993, -413983, -735969, -1149951, -1655929?\n\"Answer: -45998*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 3*x - 3*x - x**3. Let w(m) be the first derivative of 7\/3*m**3 + m + m**4 + 0*m**2 - 1. Give -5*g(u) - w(u).\nAnswer: u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(95)*-4)\/((sqrt(540) - (sqrt(540) - -1*sqrt(540)) - sqrt(540) - sqrt(540) - sqrt(540))\/sqrt(3)) + -5.\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.0451 - -0.0549. Let d = i - 24.1434. Round d to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 67*y - 4. Let q(z) = -259675*z + 259674*z - 4 + 4. Give q(k(m)).\nAnswer: -67*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a**(2\/5)\/a*a*a)*a)\/a**(-5)*(a*(a*a**(-1\/2))\/a)\/a**(-1\/2))\/(a**(2\/13)\/a*a\/a**2)**13 assuming a is positive.\nAnswer: a**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(52) + ((sqrt(1053)*-1 - sqrt(1053)) + 1)**2.\nAnswer: -32*sqrt(13) + 4214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 27420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = 5*u - 56. Suppose -99 = -3*d + 3*p, 4*p = -4*d + 2*p + u. Suppose 3*q - d = -8. Calculate the highest common divisor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((350\/21)\/(-5))\/((-305)\/366)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10716*n*u + 66383*n wrt u.\nAnswer: 10716*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 407, 416, 429, 446, 467?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*q + 5.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.8? (a) -3\/8 (b) 0.05 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 388\/(-11349)*(-9)\/(-48)*9\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -1.5. Put -0.4, r, 0.3 in ascending order.\nAnswer: -0.4, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (0 - -4 - -37 - 12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**3 - 2*r**2 + r + 3. Let k = -50 - -48. Let u be z(k). Suppose -19 = -j + 5*a + u, a = 4*j - 177. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 28*s + 9. Let u(k) = 2*k**2 + 33*k - 10. Let p(r) = 6*d(r) + 5*u(r). Give p(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4 + 0*j + 2*j)*(2*j - j - 2*j).\nAnswer: -2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 10:50 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -5.8. Suppose 5*r = 3*r - 4. Let k be r\/(-6) - (-4)\/(-6). Which is the second biggest value? (a) 1 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(2\/(-223)))\/(4\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 157.0000108. Round l to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 118553154 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -49, 115, -2, -5 in descending order.\nAnswer: 115, 15, 2, -2, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 70*m - 7*m**2 + 9*m**2 - 70*m. Let n(l) = -26*l. Calculate r(n(f)).\nAnswer: 1352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c7c + 5516?\nAnswer: 4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2138092471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 6*c + 5. What is the units digit of w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 0, -13*a + 20 = 5*o - 17*a. Solve o*f + 5*b = -27, 3*f + 5*b + 11 = -13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 92. Let j(d) = 5*d - 93. Determine -2*j(l) + 3*o(l).\nAnswer: -l - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40027753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 10*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -11 - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3\/269, 132, 13, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/9, -3\/269, 13, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 19 + u - 2*u + 4*u**2 - 2*u**2 - 3*u**2 as d*u**3 + o*u**2 + v + p*u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 122*k**3 + 378*k**2 - 382*k + 128 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (0 + -55) - -2. Suppose 0 = 5*q - 4*o - 122, 0 = -4*q - 0*o - 5*o + 73. What is the highest common factor of b and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1.71991.\nAnswer: 4.71991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-2)\/1*4. Suppose a + 85 = -3*z. Let u = -35 - z. Calculate the greatest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12436?\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/25758 and 47\/4122.\nAnswer: 5898582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 5, v: 2}. What is prob of sequence xxx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47490919 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -23. Solve -3*r + 2*p + 0*p - 12 = 0, -p - f = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-234)\/(-30) - (-4)\/20. Suppose x = 20*w - 675. Calculate the greatest common divisor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 14*g**2 + 42*g + 86. What is w(-16)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.0776.\nAnswer: 0.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*i + 3*n + 26, -3*i - 3*n - 24 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 489 * -0.5\nAnswer: -244.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 - 33*s - 108. Let f(r) = -r**2 + 3*r + 3. Let z(h) = -3*f(h) - o(h). Factor z(d).\nAnswer: -3*(d - 11)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + 2*g**3 - 2*g**3 + 10*g**2 - 5*g + g**3. What is the least common multiple of z(2) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -14478924.\nAnswer: 14478935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 4 + 1 + 2*q**3)*(-1 + 2 + 7).\nAnswer: 16*q**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7)*(4*h + 0*h - 3*h)*(5*h**3 - 33*h + 33*h).\nAnswer: 35*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.339 - -0.439. Which is the nearest to 1? (a) z (b) -0.4 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 1 = 0. Let o be ((-20)\/(-2))\/(-2 + w). Let r = 16 + o. Calculate the lowest common multiple of 3 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -2. Is 47*(-3)\/(-6)*q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 2*q**2. Let g(m) = -6*m**2 - 187*m - 29. Let a be g(-31). Give u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29473 by -5.\nAnswer: 29473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/7443300 and -73\/150?\nAnswer: 7443300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1432088973 and 20.\nAnswer: 1432088993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -4?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*q - 16*q - 7*q + 134. Factor -8\/3*h**q + 0 + 5\/3*h**3 + 4\/3*h - 1\/3*h**4.\nAnswer: -h*(h - 2)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/15 - (-326)\/3. Suppose d*l = 112*l + 3666000. What is l rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and -30*((-228)\/10 - (-72 - -66)).\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -7, 4 in descending order.\nAnswer: 4, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x + u, 0 = -x + 3*u. Suppose -3*n = -x*w - 4*w + 13, 18 = 2*n + 4*w. Determine z so that -1\/2*z**3 - z**2 + 1\/2*z + n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 10.8\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-eight fifths of a century?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 97 = -3*h. Suppose -2*d + 254 + h = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56325359 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = 4*t, 7*t - 9*g + 3*g = -9*g - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*u**5 + 14*h**3*u**4 - h**3*u**2 - 6*h**3*u - 2*u**2 wrt u?\nAnswer: 120*h**3*u**2 + 336*h**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -93751 in -2\/3, 7, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 844741 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {l: 1, i: 2, q: 3, f: 2, t: 2, m: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 28*h + 198*h**2.\nAnswer: 198*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155?\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -169223, 9 in decreasing order.\nAnswer: 9, 4, -169223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 1. Let y(s) = -2*s**2 + 4*s - 7. Let j(c) = 6*l(c) - y(c). Let r be j(-2). Suppose -4*a = -7 - r. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**(2\/7))\/g)*g*g*g**19)\/(g**(-2\/27)\/g*g\/(((g*g**(18\/5))\/g*g)\/g*g)) assuming g is positive.\nAnswer: g**(25477\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - g**2 - 2*g**2)*(6*g**2 - 2*g**2 - 3*g**2) + (1 + 3 - 3)*(-3*g**4 - 3*g**4 + 5*g**4) + 1 + 5*g**4 - 1.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -699810399?\nAnswer: -699810399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -835 + 1012. What is the highest common divisor of 118 and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 34\/466785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 3*z - 5*z)*(46 + 10 - 18)*(4 - 2 + 1)*(0 - 2 + 1) + 17*z + 691 - 691 to s + h*z and give h.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 5*s + 5. Let g(f) = f - 1. Give -5*g(y) - l(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, y: 14}. Give prob of sequence yyy.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 789 = -254*n + 2676 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6861438?\nAnswer: 2, 3, 17, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10)*5)\/(22\/4).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u - 6. Let q be p(-1). Which is the biggest value? (a) q (b) -9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039269 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 7*t**5\/20 - t**4\/4 - t**3\/6 + 3*t**2\/2 - 3*t. What are the prime factors of n(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o**4 + 12*o**3 - 22*o - 35. Let h(t) = -8*t**4 - 6*t**3 + 11*t + 17. Let p(u) = 11*h(u) + 6*k(u). What is the second derivative of p(s) wrt s?\nAnswer: 168*s**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37066 - -37065.54534. What is c rounded to three decimal places?\nAnswer: -0.455","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210333003 (base 4) to base 14\nAnswer: 3d2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2459381 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2))**(-2\/127) assuming s is positive.\nAnswer: s**(-8\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o + 50 = 0. Let u(z) = -z - 7. Let p be u(o). Factor -4\/3*r**p + 1\/3*r**4 - 4\/3*r + 1\/3 + 2*r**2.\nAnswer: (r - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 104*v\/9 - 106\/9.\nAnswer: 2*(v - 53)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.18 - 36. Let y = 4.18 - t. What is the third biggest value in 8, 0.4, -4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -6 - (-2)\/(-2). Let p be (-5)\/(-4)*(-17 + 13). Is q at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 689, 43.9, 3, -1\/5, 5, 1\/6 in descending order.\nAnswer: 689, 43.9, 5, 3, 1\/6, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*y**3 - 2*y + 2*y + 29*y**3 + 9*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*o - 8 = -4, 0 = 5*j + o - 10. Let z be (3\/(-9))\/(j\/(-18)). Suppose 0 = -2*a - z*a + 5245. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 7. Let g(h) = -6. Let y(n) = 3*f(n) - 2*g(n). Let w be y(-7). Find the common denominator of 190\/w*2\/2 and 37\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**7\/7 - 4147*x**5\/5 + x**3 - 3005*x**2\/2 + 11077. What is the third derivative of q(p) wrt p?\nAnswer: 120*p**3 - 99528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16759\/2 less than -8380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*p**3 - 52*p**3 - 94*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 4426.\nAnswer: 1\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/8*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**3 - 16*j**2 + 9*j + 6. Let q(h) = -8*h**3 + 17*h**2 - 10*h - 7. Give 7*d(m) + 6*q(m).\nAnswer: m**3 - 10*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1417877, -2835751, -4253625, -5671499, -7089373?\n\"Answer: -1417874*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 53 + 10 - 11 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + -5)*(-95)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17838183 - -17838300.000052. Let o = -117 + w. Round o to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111021 (base 3) in base 7?\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104943430 to the power of 1\/2, to the nearest integer?\nAnswer: 45880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 12. Let k be s(3). Suppose -2*a = -k*q + 90, q = -a - 2*a + 41. Calculate the remainder when q is divided by ((-6)\/(-2))\/(15\/55).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 237955 and 0.5.\nAnswer: 118977.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4453710400 rounded to the nearest one million?\nAnswer: -4454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4\/9 (c) 0 (d) 5 (e) -4 (f) -1\/7 (g) -989\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + 12\/42. Suppose -5*n + 2 + 23 = r. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12508 and -43\/87556.\nAnswer: 87556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v**2 + 24*v**2 + 17*v**2 to c + h*v**2 + b*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 13*q - 34. Let c be j(-4). Find the common denominator of -23 - -29 - 19\/c and -37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t + 254. Let x be j(-14). Solve -c + 5*w = -23, -6 = x*c - w - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97166564 by 8833324.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = l - 3*l, -4*f = 2*l - 18. Solve 2*m + f = w - 7, -w = -m - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010100100010 + 11011011010?\nAnswer: -1011111001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 7\/60*y**6 + 0 + 2*y**2 + 0*y**3 + 41\/60*y**5 + 0*y + 0*y**4. Find the third derivative of l(z) wrt z.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuuuuuuuuuukukkkk. Give prob of sequence uuk.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3\/2 + 18057*n**2\/2 + 27096*n + 18066 = 0.\nAnswer: -2, -1, 6022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*k**2 - 1)*(-k + 10 - 21 - 5*k).\nAnswer: -24*k**3 - 44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98669 - 150467 = -98*y + 157726. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-2 - -4) + -4). Let n(d) be the first derivative of d**2\/2 - 7*d + 2. Let s be n(7). Are p and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 52176*k**2 + 340344042*k - 680479396 = 0. What is k?\nAnswer: 2, 13043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*t + 16*t - 57 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14355)\/(-2871))\/(5\/(-6)*(21\/(-52))\/7)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d**4 - 17*d**4 + 8*d**4)*(-3 + 3 + 4*d) - d**5 - 2*d**5 + d**5.\nAnswer: -138*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 5. Let z(f) = f**3 - f**2 - 2*f + 4. Let y be z(0). Suppose 0 = -2*b + 6*b + 4*j + 32, -y*b + 5*j + 4 = 0. Calculate r(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65140 is divided by 2832.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143190164.\nAnswer: 2, 3, 3727, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u + 1)*(-12*u - 8*u - 9*u).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 108513304 to the nearest one million.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 * -6\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 69 (b) 1 (c) -1\/4 (d) 41 (e) -1 (f) 0.08 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:33 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-70)*(-735)\/(-45).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-22) - (-10)\/55. Suppose -n*d + 2 = -u + 17, -2*d - 9 = -u. Is 5 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(19*2))\/((-305)\/(57950\/(-285)))?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -514.56 (b) -0.06 (c) 0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 10*h + 14*h, 3*r = -2*h. Let j(b) = b**2 + 2*b - 38. Let w = 70 + -64. Let u be j(w). Sort -1, u, r in ascending order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**3\/6 - 11*h**2\/2 - h. Suppose 0 = -2*c - 3 - 1. Let s be -3 + 3 - (-7 - c). Calculate z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-69))\/((-2)\/84*2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -7. Let p = -10 - b. Let f = 3 + p. What is the biggest value in f, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 169 = 6. Let i(z) be the second derivative of 0*z**2 - 1\/20*z**g + 1\/4*z**4 - 7*z + 0 - 1\/3*z**3. Factor i(c).\nAnswer: -c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*f + 23*f - 38*f + 2 - 2 + 2*f - 3 + 2*f + 3 - 1 + 2*f + 1 + (3 - 3 + 2)*(-1 + 1 + 2*f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a + 16 = 0. Solve -t = 3*k + 4*t + 29, t + 16 = -a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11115 - 3*u + 11115 + 6*u**2.\nAnswer: 6*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 448*u**4 - 2580*u**3 - 3816*u**2 = 0.\nAnswer: -106, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 6*f**2 - 5*f + 1. Let u be v(-5). Suppose -q - 2 = -u. Is q > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -338. Let d = y - -205.037. What is d rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:06 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:13 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/2)*l**(1\/13))**(-37) assuming l is positive.\nAnswer: l**(-1517\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x + 389. Let g be o(-17). Solve g = -9*c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 80 = 5*c, 5*i - 80 = -0*i + 3*c. Suppose -8*l + 132 = -12. What is the lowest common multiple of l and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - h + 7. Suppose -26 = 3*p - 4*j, 5*p + 30 + 24 = -4*j. Let m(r) = r**2 + 9*r - 8. Let b be m(p). Is 4 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 18 - (-496 + 463)) + -26.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 41*s**2 - 46*s + 111. What is the tens digit of z(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 + 5. Let o = 0.2 - 2.2. Let r = o - z. What is the nearest to r in 1, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73396 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98915 (base 10) to base 6.\nAnswer: -2041535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3181\/18*(-180)\/(-6360))*-12\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 10 (b) 7 (c) -1\/7 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 3*w + 2. Let f be a(2). Suppose f*n + 39 = 3*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*i*w**2 + 15*i - 2*w + 3 wrt w.\nAnswer: 210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 51?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.1886 - -2756796.4.\nAnswer: 2756814.5886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 - 9784*z**4 + 6576324*z**3 - 725737984*z**2 + 22008315904*z = 0.\nAnswer: 0, 64, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0, 0.3, -7, -75, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlcjjlecleecxcecxjx. Give prob of picking 2 x and 2 l.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 31510?\nAnswer: -31514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -200, 2, 0 in decreasing order.\nAnswer: 4, 2, 0, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*g - 2891*g**2 + 160*g - 890*g**2 to s*g + q + l*g**2 and give l.\nAnswer: -3781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13333203021 + -1021?\nAnswer: 13333202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3719, 7405, 11061, 14687, 18283, 21849, 25385?\n\"Answer: -15*l**2 + 3731*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-33 - (13 - 39)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33742575 divided by -57\nAnswer: 591975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b**3 + 12*b. Let t(l) = l**3 + l. Let g(z) = 2*p(z) - 27*t(z). What is the second derivative of g(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/72 + -1 + (-219)\/(-135).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -8*m - 0*m. Let w(u) = -m*u**2 + 4 + 12*u**2 - 4. Let q(a) = -2*a. Give q(w(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(90)\/sqrt(5) + -1)**2 + -2 + (sqrt(40)\/sqrt(5))\/sqrt(4) + 4.\nAnswer: 13*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291430731 to the power of 1\/2, to the nearest integer?\nAnswer: 17071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6291 - 50231\/8. Find the common denominator of 27\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.34364355 + -58.34364615. Let h = 52 + a. Round h to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:48 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*-2 - 3\/36\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215121 - -432612. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -425 + -2?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/5 - 1\/5. Find the second derivative of 4*y + j*y - 5*y**5 - 2*y wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653772 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16118789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 114008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 133074, 532626, 1198548, 2130840, 3329502?\n\"Answer: 133185*j**2 - 3*j - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*l**2 + 50*l + 7*l**2 + 349*l**3 - 11*l**2 + 2*l**2 wrt l?\nAnswer: 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855826 is divided by 10029?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z - 25*z + 21*z)*(-5 + 4 + 5).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 9*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/(-135))\/13*((-75)\/80)\/((-45)\/(-60)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*a - 31. Let s be ((-4)\/a)\/(1\/(-6)). Suppose -f - s*i + 43 = 0, 5*f + 0*i = 5*i + 195. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:28 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*w = 59 - 2, 2*o - 4*w + 2557 = 2519 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3116 - 466. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w + 6*w. Solve -3*n + 8 = -w*n + 2*u, u + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 24. Let i = 11 - g. Suppose y = -i*y + 132. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -8, 3, 28, 73?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 478620 (base 9) in base 11?\nAnswer: 1877a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*934.8.\nAnswer: 4674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-4)*0\/(-4). Suppose l = -4*t - 5*k - 8, 4*t - 6*k + 8*k = -8. What is the common denominator of -109\/6 and (164 + t)*(159\/(-160) - -1)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162 - 166 - 415*p + 492 - 164 to a + o*p and give o.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {r: 7, u: 5, g: 8}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.06, -0.4, 3875?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1346, -428 in ascending order.\nAnswer: -428, 2\/5, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1747374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(((c**0\/c)\/c)\/c))\/c)\/c*c*c**6\/c)\/((c**6\/c*c*c)\/(c*c**1*c)))**(-31) assuming c is positive.\nAnswer: c**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1656553823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5487 - 4103. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 6. Let g(m) = -11*m + 17. Let a(b) = -6*g(b) + 17*v(b). Let d(c) = 6*c. Give a(d(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let o be ((-37)\/2)\/(4\/(-8)). Suppose -4*t = y*p - 15, -5*p + 3*t = -17 - o. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 13*u**3\/3 + 55*u + 16. Let q(x) = 2*x**2 + 9. Let z(r) = 34*q(r) - 6*s(r). Differentiate z(j) with respect to j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1810 and 2258156.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.71 + -0.83. Let p = z - -0.12. What is the third smallest value in -4\/7, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 0*r**2 + 3*r**2 + (r + 7*r**2 - r)*(-2 + 0 - 2) + 2*r - 2*r + 3*r**2)*(-3*r + 4*r - 3*r) as f + a*r + t*r**2 + d*r**3 and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 577542, -5, -1, 8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - c**2 + 3*c - 2. Let t be b(1). Suppose n + y = t*y - 169, -4*n - 2*y - 676 = 0. Let u = 259 + n. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)\/(q**(-6\/5)*q))**40*(((q**(-4)\/q*q*q)\/q)\/(q\/(q**(-3\/2)\/q)))**(-1\/25) assuming q is positive.\nAnswer: q**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + (-128)\/6)*(0 + -3). Let o be (1\/14)\/(f\/124). Suppose 0*h - 2\/7*h**3 - o*h**2 + 0 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -9, -4, -28, -1, 6 in ascending order.\nAnswer: -61, -28, -9, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254 by 11.\nAnswer: 254\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2398469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -789? (a) 3\/4 (b) 3\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -3, -1, 2\/851 in ascending order.\nAnswer: -3, -1, -0.4, 2\/851, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhpuphdhup. What is prob of sequence pdp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -4.94692?\nAnswer: -5.936304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - 101\/(123624\/(-374)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4745151 divided by -1317\nAnswer: 3603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.7 - 6.7. What is the fourth biggest value in 2, -2, b, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - h + h + (1 + 2*h**2 - 1)*(106 + 19*h**2 - 106).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100428001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/15*121\/(12705\/525)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 16 = 5*t, -5*q - 10 - 4 = 2*t. What is the tens digit of -142*(-5 + (2 - t))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2867 + -2023. Suppose 0 = 2*p + 2*d - b, -8*d - 446 = -p - 3*d. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 683722 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -580 - -1899. What are the prime factors of u?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 90 = -20*z + 261 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(75)*-3 + 0.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*u - 157*u = c + 14, -2*c = 2*u + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*i + 2*c**3*o + 43*c**2*o - c*i*o**2 - 83*i*o**2 - 3*o**2 wrt i?\nAnswer: 2*c**3 - c*o**2 - 83*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0331 + 267.9669. Let u = -266 + x. Suppose -5*r = -3*r - 16. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -v - 4 + 25, 2*v + 22 = 4*s. Suppose -3*b = k + 2*b - 63, -3*k - b + 189 = 0. Calculate the remainder when k is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/32 and -35\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.45348um in kilometers?\nAnswer: 0.00000005845348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99042 or -95738?\nAnswer: -99042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k**2. Let z(m) be the first derivative of 3*m**2 + 8*m + 11. Let d(x) = 2*x + 3. Let b(u) = -8*d(u) + 3*z(u). Determine w(b(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*i - 443*i - 506*i = -130306 + 9094 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 5 + 0 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmrrmmrmyrrmrrm. What is prob of picking 1 r and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/36 - 215\/(-6). Calculate the greatest common divisor of 1332 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 4*r - 1. Determine w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4359 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059 (base 16) in base 14?\nAnswer: -174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21343979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2196, 8768, 19722, 35058?\nAnswer: 54776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1 + -11 + 6. Let o = z + 87\/4. Let w = 21 - o. Sort -1, -0.5, w in decreasing order.\nAnswer: w, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13776 divided by -168\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 7*d**2 - 6. Let r(n) be the second derivative of -11*n**5\/20 - 5*n**4\/3 + 17*n**2\/2 + n + 977. Calculate 17*j(a) + 6*r(a).\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 8*u + 3. Let z = -79 - -86. What is t(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 774ea (base 16) to base 3\nAnswer: 220211100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 112\/40 + (-16)\/20. Let c = -21\/10 - -157\/70. What is the closest to -0.1 in j, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06372 * 195.\nAnswer: -12.4254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314 - -323. Sort u, -0.04, -2\/13 in descending order.\nAnswer: u, -0.04, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372818 is divided by 1186275.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/32 and 2\/12 + 22507\/(-18744)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 - 86*w - 1945. What is c(-11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v. Suppose 4*m - 9 = m. Let n be b(m). Let w(y) = y - y - n*y**2 + 7*y**2. Let g(c) = c. What is g(w(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 5, a: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17331*r*s**3*x**2 + 98*r*s*x**2 + 2*r*x + 12*s**2*x**2 wrt s?\nAnswer: -103986*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 41. Calculate the remainder when 45 is divided by t(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (0 + 2 - -5) - (0 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 0*t + 9 = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9669 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) - (36\/16)\/(-9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(2475*c - 885*c - 1103*c)*(2*c - 2*c - c) to the form q + b*c + j*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -445, -416, -369, -304, -221, -120, -1?\n\"Answer: 9*n**2 + 2*n - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.08, 0.19, 1, 1\/10, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 152 = 11*d + 159, 3*k + 51 = -3*d for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3132 = 41*d + 17*d. Calculate the remainder when d is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1249*x**2 - 2430*x**2 + 1167*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 126 = 137. Put -22, 10, r in decreasing order.\nAnswer: 10, r, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:24 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -895 - -909. What is the greatest common factor of 343 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286809874?\nAnswer: 2, 13, 571, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Let m(y) = -y**3 - t*y**2 - y**2 + 12 - 6*y**2 - 8*y. What are the prime factors of m(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446626 to the power of 1\/2, to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-160)\/(-24))\/(-4). Suppose -8*q = 26 - 10. Put -4, -23, o, q in descending order.\nAnswer: o, q, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q**2 + 4*q + 2. Is 13 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7335 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11)*-2) - ((((-4 + sqrt(1300) - sqrt(1300)) + sqrt(1300) + sqrt(1300) + sqrt(1300))**2 - sqrt(1300)) + sqrt(13)).\nAnswer: -11716 + 497*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -269.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + 2*sqrt(1152) + 3 + -2*sqrt(1152)*4)**2.\nAnswer: -720*sqrt(2) + 28809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - 5*x**2 - 24*x - 17. Calculate the remainder when 255 is divided by p(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 23*u**5\/60 - 3*u**4\/8 - 13*u**3\/6 - 2*u**2 - 7. Suppose 5*b - i = -25, -5*i - 10 = -2*b + 3. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 + 1 - (-1 - 28).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let p(n) = -62 - 52 - 122*n + 114. Calculate p(z(s)).\nAnswer: 244*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 283 = 149. Suppose 3*h - q - 84 = 0. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 - 2*o - 1. Let b be d(-1). Let j be (b + 56\/12)\/((-4)\/(-6)). Which is bigger: 1.3 or j?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 2. Let h be u(-3). Let j = 159\/28 + -237\/28. What is the common denominator of j and (268\/50)\/(h\/(-5))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**21*o)\/(o\/(o*o**1*o)) assuming o is positive.\nAnswer: o**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -41*t - 229. Let y be h(-10). Suppose 0 = -185*r + y*r + 3460. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwrk. Give prob of sequence qw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5456174?\nAnswer: 2, 127, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 16. Let b be d(5). Let h be 154\/33 - (-1)\/b*-4. Let f = 4 - 2. Solve -f*j - h + 0 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573160951 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*i + 212, 4*o - 3*i = 2*o + 140. What is the highest common factor of 192 and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22914*c - 6538. What are the prime factors of x(-2)?\nAnswer: 2, 5, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*f + 19636 + 45002 = 0 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2176\/10035 + -6\/1115. Sort 0.2, 2\/355, o in descending order.\nAnswer: 0.2, 2\/355, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-161891)\/321)\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -95248018.01?\nAnswer: -95248021.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 + 5?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*y - 98, 4*b - 44*y + 49*y - 147 = 0. Let u be 30\/2 - (1 + 0). Suppose -b + 2618 = u*f. List the prime factors of f.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 2. Let m(g) = -28*g - 108. Let y(k) = -13*k - 54. Let o(f) = 3*m(f) - 7*y(f). Let z be o(-7). Calculate j(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07654 + -0.12346. Which is the third smallest value? (a) -1 (b) -1862 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*r - r**3 + 64*r + 41*r**4 + (1 - 2*r**2 - 1)*(-4*r**2 + 4*r**2 + 2*r**2).\nAnswer: 37*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Let h(d) = 1382967*d. Give t(h(i)).\nAnswer: -1382967*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 4*h**3 + 11*h**2 + 6*h.\nAnswer: -h*(h - 6)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 * -329.43\nAnswer: -15.48321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 690, -2, -11, -3\/4, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -113. Let s = r + -24. Let u be 4*(-1)\/(-4) - s. Sort 0, -3, u.\nAnswer: u, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -495 - -2484\/5. Find b, given that 1\/5*b**5 + g*b - 2\/5 - 16\/5*b**2 + 14\/5*b**3 - 6\/5*b**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 392 = 53*v + 38*v. Let x(r) = r**3 + 5*r**2 - 6. Calculate x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 212?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhqq when four letters picked without replacement from {h: 16, q: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2196, -2\/11, -2\/51, -0.4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(1\/18)\/v)*v**(11\/7) assuming v is positive.\nAnswer: v**(443\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3895 - -3898. Suppose 0 = -6*v + 2*v. Suppose 4*g + 8 + 8 = v. Is t <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189610032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897 is divided by 297.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.04 - 0.04. Let h = j - 10. Which is the biggest value? (a) h (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 729 + 5860\nAnswer: 6589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*l - 10. Let j be l - -1*(-5)\/5. Solve g = j - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 2*m**2 + 0*m**2 + (-2*m + 7*m - 4*m)*(8*m + 5*m - 6*m) + 1 - m**2 - 1.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let i be 2 - 5 - -8 - 2. Suppose 3*k + i - 30 = 0. Calculate the highest common divisor of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q + 51*q - 10*q - q**3 - 133*q**3 - 16*q.\nAnswer: -134*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-14)*(-82)\/(-3). Suppose 6*k - 109 = c. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42458095 + -849339399\/20. Let a = d - -8871. Calculate the common denominator of a and -119\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)*p*p**(-4))**(-43)\/((p**(-5\/6)\/p)\/p**(-1)*p**1*p*p*(p*p\/(p**(-5)*p))\/p) assuming p is positive.\nAnswer: p**(430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 49 + 59. Let a = -176 - v. Let i be 2\/40*-21 + (-47)\/a. What is the third biggest value in 0.3, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/2*-8*1. Is 18 a factor of (-414)\/(-12)*n\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 473 (c) -3\/7 (d) 61\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 8*i - 2. Let l be m(7). Suppose l*j - 18 = 2. Differentiate -1 + 0 - z**j + 5*z**4 wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-44)\/(-24) + 28\/42). Solve -c = -5*a + 8*a, a = 3*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1939455*t**4 - 27913604 wrt t.\nAnswer: -7757820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*h = -6 - 6, -3*i = 4*h - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 2\/13 (b) -1\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800\/(-500)*80\/32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v. Let b be ((-2)\/6)\/((-2)\/1362). Suppose v = 3*u + 4*m - 133 - b, 0 = -2*m. Round u to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21 - (2 + -2)) + (-4607820)\/(-11340). Factor -64\/3*q**2 + n - 2\/3*q**3 - 442\/3*q.\nAnswer: -2*(q - 2)*(q + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -343.1 or 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i**3 - 401*i**3 + 198*i**3)*(4*i + i - 4*i + (-3 + 5*i + 3)*(-3 - 1 + 2)) to the form x*i**4 + v*i + w + y*i**3 + s*i**2 and give x.\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1120 - -3335. Suppose 2*d - d + l + 443 = 0, t = -5*d + l. Let c be (3 - d\/(-1))*1. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:51 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-6*x - 3*x - x)*(x - 1 + 1 + (-5 + 5 + 2)*(-2 + 2 + x) + 5*x + 0*x - 3*x + 0*x + 3*x - x + 0*x - 2*x - 2*x).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Suppose 0 = 3*l - 2*l + 15. Let s(x) be the third derivative of -x**4\/24 - 5*x**3\/3 + 16*x**2. Let a be s(l). Give m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 12*y - 30. Let g be r(-8). Suppose 359 - 367 = -g*z. Factor 5\/2*s + 5*s**3 + 0 - 5*s**z + 35\/4*s**2.\nAnswer: -5*s*(s - 2)*(2*s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 2*p - 39. Let t be q(-5). Sort t, -0.3, -3 in decreasing order.\nAnswer: -0.3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 3*h**4\/4 + 45*h**2\/2 + 48*h + 38. Let x(l) = -6*l**3 - 87*l - 97. Let p(c) = 7*s(c) + 3*x(c). Differentiate p(w) wrt w.\nAnswer: 9*w**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674269 is divided by 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18906 is divided by 252.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.78558t to grams.\nAnswer: 32785580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 9*d + 9. Let c(v) = v**2 - 8*v + 8. Let z(i) = 6*c(i) - 5*w(i). Let k be z(4). Factor -2*x**2 + 5 - 3*x**2 - k*x**2 - 3*x + 9*x**3 + 1.\nAnswer: 3*(x - 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*y - 2*y + 120, 286 = 5*y + 2*o. Is (52\/8 + -1)*y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let a(q) = -q. Let v(w) = 6*a(w) + p(w). Let h(x) = 15*x + 11. Let n(s) = 8*s + 6. Let f(l) = 6*h(l) - 11*n(l). What is v(f(z))?\nAnswer: -16*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429505533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*l - 5, 5*k + 4*l - 225 = 0. Solve 5*b + k = 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {b: 3, v: 5, t: 5}.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*g + 8*g - 20, 0 = 2*g + 2*i - 10. Sort g, -5, 3, 6 in ascending order.\nAnswer: -5, g, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29400 and 115199.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -3518 - -3515. Sort 143, k, 11\/3.\nAnswer: k, 11\/3, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5958.76 + -0.3.\nAnswer: -5959.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*a + 2 - 10*a + 28*a**3 - 30*a**3 as d*a**2 + q + j*a + b*a**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -66.9. Let l = y - 5. Is -4 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 681627 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, -2 in descending order.\nAnswer: 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 5. Let w(g) = 80*g - 100. Let f(b) = -20*j(b) - w(b). Let m(q) = 13*q. Calculate 3*f(c) + 8*m(c).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/52 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-477)\/(-12))\/((-38)\/(-304))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s**2 - 10*s - 1. Let x(m) = 4*m**2 - 3*m. Let q(g) = 3*b(g) - 8*x(g). What is the units digit of q(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - (-70)\/(-6). Let g(f) = -f - 16. Let h be g(c). Let x(q) = -171*q - 1. Is x(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5939, -11877, -17815, -23753, -29691, -35629?\n\"Answer: -5938*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 1, -3.6, 0, -48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 138 - 372. Let l = w - 88. What is the smallest common multiple of l and 2\/3 + (-20)\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - b)*(-5 + 3 + 3) - 4*b - 2*b + b)*(4*b - 6*b + 0*b) - 91*b**2 + 190*b**2 + 89*b**2.\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*b + 3*a, 4*a + 6 = -3*b - 0. Let w(o) = o**3 + 5*o**2 - 8*o - 2. Let z be w(b). What is the highest common factor of z and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(363) - (1 + sqrt(147)))**2.\nAnswer: -30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 422*v**2 + 2350*v**2 - 1 + 3.\nAnswer: 2772*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (105\/20)\/3*132\/(-134). Let p = o - -12297\/3752. Calculate the common denominator of p and 73\/18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03615261 to four dps.\nAnswer: 0.0362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 341, 588, 885?\n\"Answer: 25*f**2 + 122*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 422*z**2 + 22610 - 22610 - 4036*z**3 + 904*z**3 wrt z.\nAnswer: -18792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((-1*sqrt(14) - sqrt(14)) + sqrt(14)))\/(sqrt(2) + (sqrt(36)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/((-7)\/(-7980)). Let p = -359 + d. What is the greatest common factor of p and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76043125 by 2105.\nAnswer: 36125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k - 9. Let y be v(7). Let r be 716\/(-18) + 50\/(-225). Let p = y - r. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 3*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1915 and 11.8?\nAnswer: 1926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-2*sqrt(48)) + 1)**2 - ((sqrt(275) + 0)**2 + -5)*-4.\nAnswer: -sqrt(11)\/4 + 69195\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 4\/17, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + 1)*(2*z + z - 5*z) - 2 + 2 - z)*(167 - 167 + 51*z) to b*z + l + t*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 241124?\nAnswer: 241131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(1 + -3 + -83). Suppose -5*m + d - 45 = 0. Calculate the remainder when 249 is divided by m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 9 - -14 - (0 + 1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2466872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 47332421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p**(2\/7)*p)\/p)\/p))**22*p**(5\/4)\/p**(1\/10)*(p*p\/(p\/p**0)*p)**(-30)\/(p**2*(((p*p\/p**0)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-6179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*j = -11, -3*c + 3*j = 2*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1181 + 1184. Solve -m - 11 = 4*k, 4*m - 2*k - s*k + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26*-473250.5\nAnswer: 12304513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 4:48 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 0*f**3 - 3*f**3 + (4*f**2 - 2*f**2 + 0*f**2)*(405*f + 346*f - 807*f) + 2*f**3 + 2*f**3 - 5*f**3.\nAnswer: -116*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3\/(412\/136 + (-3)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176803572?\nAnswer: 2, 3, 19, 37, 376577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 8. Let t be q(-5). Suppose -d - 2*w + t*w = -108, 207 = 2*d - 5*w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16666 is divided by 5547.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -0.0029, 1\/3, -0.5, 0?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18199 at most -18197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 63, 66, 69?\n\"Answer: 3*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(13 - 13 + 7*a)*(a**3 + 10*a**2 - 10*a**2).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*14)\/1 - 1. Let h = k - -15. Determine f so that h*f - 3\/2*f**2 + 0 - 3\/2*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 30. Solve 0 = -r - 0*r + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-33) - (-2122)\/(-330) - -3. Let g = -26\/11 - s. Which is bigger: g or -13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(117) + sqrt(468))**2 + sqrt(39)\/sqrt(3)*-6 + sqrt(13) + 2 + (0 + sqrt(156)\/(sqrt(12)*1))*-5*-6.\nAnswer: -47*sqrt(13) + 1071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1026?\nAnswer: 5\/1026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -3.\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 104 = -125*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(171))**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3592*c**2*k**3*u**3 - 28*c**2*k**2*u**3 - 2*c*k**3 - 4954*c*k*u**2 + 3*c*u**3 + 2*k**3*u**3 - 2*k**3 wrt c.\nAnswer: -7184*k**3*u**3 - 56*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-19)\/x**(-15))\/(x**(-13)\/x)**(-14\/5))**(-23) assuming x is positive.\nAnswer: x**(4968\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 26de?\nAnswer: -26da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/27447 + -631381\/1372350. Let n = 3\/50 + z. What is the nearest to n in 0.1, -0.2, -0.15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.136 (b) -0.142 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 662 + -662.000247. Round v to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682501?\nAnswer: 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o + q + 2, 2*o - 3*q = 1. Let w(m) = -8*m + 1. Let k be w(o). Differentiate k - 10*t**2 - t**2 - 2 wrt t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263211 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 60. Calculate d(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 652*d**3 + 4*d**2 + 652*d.\nAnswer: -4*d*(d - 1)*(d + 1)*(d + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210303321 (base 4) to base 10.\nAnswer: -150777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4361*p**2. Let v(q) be the second derivative of q**4\/3 - 9480*q. What is h(v(d))?\nAnswer: 69776*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -5. Let o = -53543 - -53543.2. Which is the nearest to -1\/4? (a) -4 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + x**2 + 4*x**2 + (-2 + 1 - 1)*(0 + x**2 + 0).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 5. Let c(q) = 2*q + 6. What is 3*c(h) - 2*u(h)?\nAnswer: 2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v**2 + 5*v - 3. Let l = 33 - 35. Let i(p) = -10*p**2 + 2*p - 1. Let r(f) = l*z(f) + 5*i(f). What is r(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48863927687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xyxxxovxxxovyxvvxyv.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2633*i - 14710 = -27908 - 49994 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ceceneaeceeeeeeec?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 + -279. Solve -7*x = -11*x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 57. Let p = u - -22. Let x = p - 11. What is the second biggest value in -3, -1\/5, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20030400 (base 5) to base 7.\nAnswer: -1226204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8))**(-4\/35)*(m**(-2\/23)\/m)\/m*m**16 assuming m is positive.\nAnswer: m**(11936\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1586 - -835. Let r = -1143 - w. What is r rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 76*x + 101. Let c be a(24). Suppose -2*d = -c*s + 5, -5*s + 37 - 2 = 4*d. Solve -o + 18 = 4*z - 3*o, -o = z - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 121674723?\nAnswer: 121674723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from vqfwwfaqs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -22) + (-23 - (-1 + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -65101.\nAnswer: 1\/65101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 2*y + 2 - 5 + (-3 + 3 - 2*y)*(7 - 92 - 34) - 2*y + 2 - 2.\nAnswer: 234*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058856?\nAnswer: 2, 3, 44119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-30))\/(-5 + (0 - -1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let u(f) = -1094902255*f**2. What is u(j(g))?\nAnswer: -1094902255*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61\/4 + -16. Let h = 483 + -480. Do h and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01261 and -10.2755.\nAnswer: -10.28811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*1*77\/21. Let g(l) be the first derivative of -10*l**2 + 1 + b*l**2 + 1. Let n(k) = -8*k. Calculate n(g(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*l - 5 - 86, 2*l = 3*z - 260. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.044 and -0.06.\nAnswer: -0.12264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -210, 0 in decreasing order.\nAnswer: 3, 0, -1, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1573 divide 6830196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5520979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 151832\nAnswer: -51\/151832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.476 + -1.594. Let z = 1.97 + q. Which is the nearest to 2\/9? (a) -5 (b) z (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*h + 245*h - 15157 = 8808 + 10135 for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13371\/16 - -836. What is the common denominator of 55\/626 and u?\nAnswer: 5008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 + 69*m**2 + 20*m - 4. What is q(-17)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1599.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -7 - (24 + -16 + 7) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*p**5 + 46646170*j*p**3*u + 2*j*p**2*u - j*p**2 + 2*j*p + 2*p**2*u - 49*p**2 - 1007*u wrt p.\nAnswer: 60*j*p**2 + 279877020*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36055?\nAnswer: 5, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 4 - sqrt(152)\/sqrt(8)*2)**2 - -1*((sqrt(475)*-3)**2 + sqrt(475))*3.\nAnswer: 47*sqrt(19) + 13145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqiq when four letters picked without replacement from {i: 15, q: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/48)\/((-13)\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10410 + -103?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(44) + (2*sqrt(88) + sqrt(88))\/sqrt(2))\/sqrt(4) + 5*((sqrt(396)*1)**2 + sqrt(396)) + -5).\nAnswer: 170*sqrt(11) + 9875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111210 - 22210?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261 by -28.\nAnswer: -261\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2\/2 - 4481754*l - 3347686486086 = 0.\nAnswer: -1493918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, -214, 40 in ascending order.\nAnswer: -214, -5, -1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1071, 4404, 10001, 17862?\nAnswer: 27987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32853 is divided by 4658?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14928532870716 plus 0.2?\nAnswer: 14928532870716.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -444.4 + 442.9. What is the nearest to 1 in -5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*11.37.\nAnswer: 113.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3\/7, -0.5, 2, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + (-1 + 5*sqrt(300))*-4)*-3)**2.\nAnswer: -100800*sqrt(3) + 4321764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 3)*(0*d - d - d) + (3 - 3 - d)*(-1 - 3 + 2) to v*d + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324350?\nAnswer: 2, 5, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/26*(-390)\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(171) + 5*sqrt(171)*-1 + 5*(1*sqrt(171) - sqrt(171))))\/(4*1*6*(sqrt(9) - sqrt(9)*2)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 820 - 4*d - 820 + 3*d**2 to the form u + p*d + q*d**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90920 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*p*r**3 - 25844*p*r**2 - p*r - p - 2*r**3 - 22*r**2 - 140*r + 17 wrt p?\nAnswer: -3*r**3 - 25844*r**2 - r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -305694?\nAnswer: 305699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.3, -8, 23, 1\/2, 1.53?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/944510 and -29\/19025130.\nAnswer: 133175910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 144*w**2. Let m(h) = -9*h. What is m(d(x))?\nAnswer: -1296*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*d + 1, 3*q = -5*d - 0*q + 29. Suppose 2*z - 38 = z. Suppose 2*x - z = -3*a - 2, -a + 4 = 0. Solve -d*m = x - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0 (c) 2\/19 (d) 0.1 (e) -189\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164521798 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2*(3 + -1). Solve 5*b = 2 - h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1 - 7 + 17*g**4 - 2 - 8*g + 17*g**3 - g**5 - 17*g**2. Let s(d) = 6*d**4 + 6*d**3 - 6*d**2 - 3*d - 3. Let i(l) = -8*s(l) + 3*u(l). Factor i(m).\nAnswer: -3*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 6 + 988*a - 951*a in the form y*a + o and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*s + 74, -10*w = -s + 61 + 96. Which is the second biggest value? (a) w (b) 10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.296 * -0.3331\nAnswer: 2.4302976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 124196*p\/5.\nAnswer: -p*(p + 124196)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 111 = 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x. Let r(p) = x - 6 - 21*p + 8. List the prime factors of r(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*v + 1 = 653*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63065929, -63065930, -63065931?\n\"Answer: -b - 63065928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682115, 681944, 681773?\nAnswer: 681602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-2\/31)))\/(y\/(y**10\/y))*y**8*y**7\/y assuming y is positive.\nAnswer: y**(680\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:26 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792718112?\nAnswer: 2, 31, 139, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12143 - 0.37857. Which is smaller: 2527 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9)*q)\/q*q**(1\/10))**(19\/6) assuming q is positive.\nAnswer: q**(-1501\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2386 divided by 20?\nAnswer: -1193\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 9 (b) -2\/3 (c) 0.4 (d) -1 (e) -263 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmom when four letters picked without replacement from nnmoomnmnmn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/50)\/(-4))\/(48\/(-540))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**2 - n - 29. Let c be h(-5). Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 118\/(-16) - 21\/(-56). Is -1*x\/(-21)*-13641*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953331359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26970165 a multiple of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7 + (-5 - -5) - 17) + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621288 smaller than 51727727\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -31, 5, -63 in decreasing order.\nAnswer: 5, 0, -5, -31, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 15*a - 74. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.268 and -8.\nAnswer: 2.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:57 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351461 + -5?\nAnswer: -351466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3 + -3)*-4. Suppose u = -k, -c = 3*u - 14 - 10. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 935.\nAnswer: 13090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1396 + 6232. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:51 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 312\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(121) - (sqrt(121) - -3*2*sqrt(121)))\/(3*sqrt(99) + sqrt(99)).\nAnswer: -sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12546, 27695, 42844, 57993, 73142?\n\"Answer: 15149*j - 2603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1*4))\/(-2). Suppose 4*w - 10 - 22 = p. Calculate the greatest common factor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 3)\/(-2)*1. Let m = n - -4. Let g = -8496 - -8498. Solve 4 = m*s + 4*r, 0 = 5*r + 12 - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 783.6547cm?\nAnswer: 7836.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -41*f**3 + 2*f**2 + 2*f + 1. Let w = -102 + 75. Let h = w + 26. What are the prime factors of q(h)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*j + 4*j**2 - 141*j - 6*j**2)*(-3 - 14 - 2).\nAnswer: 38*j**2 - 684*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:36 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -4\/675, -1\/4, 44, 12\/17, -0.5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 35*c**2 - c - 3. Let x(r) = 31*r**2 - 2*r - 3. Let s(l) = -8*h(l) + 9*x(l). Let z = -6 + -1. What is s(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/((-24)\/268))\/((-10)\/(-20)). Let w = v - -84. Calculate the remainder when 31 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 14. Let f = 11 - m. Let b be (3 - 148\/84)*18\/f. Is b at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 391 = -3*y - 286, 901 = -4*y + 3*w. Does 15 divide (-7)\/21 - y\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 11, 23, 41, 65, 95, 131?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - 8 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 = 5. Suppose 4*d - h = 3*r, 4*r = -5*d + 20 + 3. Suppose -3*y = -r*n + 235, 4*n + 474 = 8*n - 2*y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-6)\/10 - 36\/90)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-23456)\/4398 + (-340)\/15 - (-3 - (-1 - 0))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48371381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/297 + 9 + -8.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 972 - 967. Solve 5*t - 4 = -4*r + 10*t, 0 = j*r - 5*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9 and 48\/(-72) - (1738\/4170 + -1).\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2. Suppose -7 = -5*c + 8. Let y be r(c). Let j(b) = 8*b + 4. Is j(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxtwtxbxbxxxxu. Give prob of sequence bw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(170)*-3)\/(sqrt(1000)*-1*4).\nAnswer: -9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let i(v) be the second derivative of -881*v**4\/3 + 11278*v. Give i(y(p)).\nAnswer: -3524*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -239807709 divided by 217809?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-75)\/40))\/((-12)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8954544*s + 8954544*s - 314*s**2.\nAnswer: -314*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 554?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -176*(6\/9)\/(648\/(-243))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5179 and 3.\nAnswer: 3.5179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 1. Let s(v) = v**3 + 11*v**2 + 9*v + 5. Let a(n) = -6*b(n) - s(n). Let y be a(-5). Solve u = -5*z + 4, 8*z - y*z = 4*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -60. Is (477\/(-6) + 5)*i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ycccyyyycccc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*-3)\/sqrt(1764) + 5.\nAnswer: -sqrt(2)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7237252 + 14?\nAnswer: 7237266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Let k(w) = 0*w - 1 - 2*w**s + w + 5*w**2 - 4*w**2. Let c(i) = 2*i**2 - 4*i + 4. Let m(h) = c(h) + 4*k(h). Let j(o) = -5*o**2. What is m(j(g))?\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/3))**6)**(9\/2)\/((f**(1\/9)*f*f**0*f)\/((f*f\/f**(-4\/3))\/(f*(f*f\/(f**(-1)\/f))\/f*f*f))) assuming f is positive.\nAnswer: f**(362\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3)\/4*-16. Let h be (-138)\/q*3\/2. Let j = h - 17. Which is greater: 6 or j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*c + 50*c + 187*c.\nAnswer: 761*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487510?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129513406 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 2.05. Let w = -0.02 + 0.42. Let t = w + -0.4. Which is the third smallest value? (a) m (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53.47359 nanoseconds?\nAnswer: 0.0000000008912265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 524.2266 litres?\nAnswer: 524226.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -208e (base 15) to base 11\nAnswer: -5199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*v - 4*s - 2730 = 203*v, -v + 4*s = -546. Calculate the highest common factor of v and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/5 - 109*z\/5 - 214\/5 = 0 for z.\nAnswer: -107, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-536)\/(-402))\/((-3)\/(9\/22))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*((q\/(q*q**(-2)\/q)*q)\/q)\/q)*q*q*((q**(-26\/5)\/q*q)\/q)\/q assuming q is positive.\nAnswer: q**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 656\/(9 + 29\/(-3)). List the prime factors of (l\/48)\/((-2)\/4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1\/((-2*2\/5706)\/((-52)\/117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 4, 67, 5, 0 in descending order.\nAnswer: 67, 5, 4, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 11*g - 58. Solve -g*l + 1 = -19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -92*m**3 + 3*m**2 + 338*m + 336. What is the remainder when 451 is divided by i(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1028 + 423.3972. Let y = -423 + u. What is the nearest to -0.2 in 1, y, 24\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*z - 13*z - 569*z + 15196 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*b + 1 + 3 = 0, -4*b = 3*h + 2. Suppose -7*c + h*c + 35 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 10938?\nAnswer: 35\/10938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -29994*t + 1499699. What is h(50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 + 3*c - 16. Calculate y(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 4*w + w)*((2 - 6 + 2)*(0*w - 4*w - w) - 2*w - w + w) to the form u + p*w + n*w**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17986 - -0.18. What is m rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 6) + 0 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130031614*s**3 - 14382*s + 3726 wrt s?\nAnswer: 780189684*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471632497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -566.00323 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802004486 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.848 and 0.4?\nAnswer: 1.5392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -456102.\nAnswer: -1\/152034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-5) + 3)\/(46\/(-184)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 65*t**2 + 3*t + 1. Let f be w(-2). Suppose 5*l + 55 = -f. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -28*x. Suppose x = 3*q - 4*q + 65. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let v(c) = 6*c**2 + 3*c - 3. Let r be 2\/(((-10)\/(-15))\/(-1)). Let y(t) = -5*t**2 - 2*t + 2. Let p(l) = r*y(l) - 2*v(l). Determine x(p(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(136) + sqrt(136) + (sqrt(136) - 5*(sqrt(136) + 2*sqrt(136))) + sqrt(136))\/sqrt(8).\nAnswer: 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 + 726. Let o = r - 328. Which is the third biggest value? (a) 3 (b) 4 (c) o (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41921, 41950, 42007, 42098, 42229, 42406?\nAnswer: 42635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32895 - -32895.3. Let q = -17 + 15.9. Let w = -0.1 - q. What is the nearest to -1 in 0.5, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 2*f**2 + f**2 + 58 + 230 in the form z*f**2 + c + a*f and give c.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 157744 (base 8) in base 9?\nAnswer: 86554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432878 rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by -2502.\nAnswer: -157\/2502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11\/3)\/((45\/27)\/(-5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -5)*6\/(-9). What are the prime factors of (6 - 780\/(-25)) + d\/(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13658, -27309, -40956, -54599, -68238?\nAnswer: -81873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5071*b + 5077*b - 72 = 0. Let c(v) = -v + 16. Determine c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -12, -34, -74, -138?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077740 greater than or equal to 1077732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8001*f**4 + 2*f**3 + 109*f - f**2 - 110*f**5 - f**3 + 8001*f**4 wrt f?\nAnswer: -6600*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = 43*v. Solve 16*f + 2 - 2 = v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 0*k)*(-3 + 2 + 2)*(4 - 4 + 3*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284739 and 1775931.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -19516\nAnswer: -19516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 13. Let m be (0\/(-3))\/(2\/(2 - 3)). Determine l(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-7 + 10) - 0) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 2*a**2 - 2*a**2)*(474*a - 148*a + 272*a) as s + f*a**2 + c*a**3 + r*a and give c.\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579 + 0 - (1 - -4)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*1*sqrt(2) - sqrt(288))*-6 + (sqrt(144)\/sqrt(4))\/(sqrt(22)\/(sqrt(11) + sqrt(44))))*6)**2 + -5.\nAnswer: 887107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 68 + 5*z - 3*z as h*z + m and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11067*-230\nAnswer: -2545410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -17*w + 9625. Calculate the highest common factor of 315 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6506996256?\nAnswer: 2, 3, 419, 53923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3560 divided by -712.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.9 less than -210646?\nAnswer: -210528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52)\/(-130)*(1\/3)\/((-5)\/15). What is the fourth smallest value in 4\/5, k, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**6 + 2*v**5 + 187*v**2.\nAnswer: -480*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o. Let f(k) = -8*k**2 - 6*k - 2. What is f(h) + 5*u(h)?\nAnswer: -3*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-1)\/((-1)\/(-2)). Let i be g\/(-4) - 1\/(-4). Let q = 12 - 12. Is i less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1108.433 tonnes?\nAnswer: 1108433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -13. Let f(w) be the second derivative of -1\/2*w**i + 1\/2*w**2 + 1\/4*w**4 + 4*w - 1\/20*w**5 + 0. Find z such that f(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9349918*o**6 - 2*o**2 - 2744510?\nAnswer: 1121990160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 9043858.\nAnswer: 9043856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**3 + 7*w**2 + 2*w - 11. Let g(d) = -7*d**3 + 22*d**2 - 5*d**2 - 6 + d - 6*d**2 - 7*d**2 + 14*d**3. What is 6*b(s) - 11*g(s)?\nAnswer: s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2190075*l**2 - 1. Let h(g) = g. Give j(h(s)).\nAnswer: 2190075*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/3 + 1436*w**4\/3 - 36823*w**3\/3 + 76728*w**2 - 166452*w + 101520 = 0.\nAnswer: 1, 3, 4, 18, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 12144*b**3 + 329406*b**2 - 365828*b - 683088 = 0.\nAnswer: -28, -1, 2, 6099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -2, 5, 9, 1, -12, -0.90475?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*k - 44, 5*n + k = -4*k + 60. Let c = n - 4. Calculate the lowest common multiple of c and (2\/(-3))\/((-2)\/42).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925 is divided by 69?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -8, 85 in decreasing order.\nAnswer: 85, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13624080, 27248167, 40872254, 54496341, 68120428, 81744515?\n\"Answer: 13624087*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10682 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711048.84 - -86?\nAnswer: 1711134.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 880 = 3*b + 13695, 2*d - 4*b = 6420. What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -12, 38, -5, 0 in increasing order.\nAnswer: -12, -5, 0, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204.63 + 204.63. Sort w, -0.4, 1456\/11 in decreasing order.\nAnswer: 1456\/11, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mufujvmvjuvv. What is prob of sequence fju?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10208 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (27\/(-2))\/(15\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36490628?\nAnswer: 2, 9122657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5\/3*p**3 + 4 + 0*p + 0*p**2. Let k(g) = -2*g. Determine k(l(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11 = -4*s - 2, -5*s + 16 = y. Calculate the remainder when 46 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**2 - 88*n**2 + 32 - n**3.\nAnswer: -n**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h + 1. Let w(u) = 137*u**3 + 6*u**2 + 7*u + 28. Let j(r) = -w(r) + 4*z(r). Find the second derivative of j(o) wrt o.\nAnswer: -822*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + (5 - 10) + -5. Let u(b) = 28*b. Let i(z) = -9*z. What is v*i(l) - 6*u(l)?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20931 * -0.5\nAnswer: 10465.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3 + (-3 - 1 + 5)*(-2 + 3 - 3) - 2 + 7 + 1)*(4 - m - 4).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 131 + 349. Suppose 0*f + c = 6*f. Calculate the remainder when f is divided by 21\/6*(-5)\/(140\/(-128)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 7973, -1\/8, 38, -5?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 0*j + (-1 + 2 - 2)*(-4*j + j + j) + 2*j - j + j + 3*j - 2*j + 2*j)*(-4*j - 6*j - 11*j).\nAnswer: -168*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/4, 1, -10722 in decreasing order.\nAnswer: 1, -1\/4, -5, -10722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7959*a**4 - 12*a + 475 wrt a?\nAnswer: 95508*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjp when three letters picked without replacement from {v: 3, b: 4, g: 3, j: 4, p: 2, h: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*n + 750, 0 = 2*k - 3*k + 5*n + 150. What is the remainder when 891 is divided by k?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1852 - -1851.9999239. What is b rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147423 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.2111 weeks to minutes.\nAnswer: 2411247.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 9*g + 9. Let v be u(-8). Suppose -5*t = -10, 2*k = -k + 4*t - 5. Is 13 a factor of -26*v\/(-2)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614736386?\nAnswer: 2, 11, 31, 81943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {r: 5, o: 5, k: 5, n: 1, p: 3}.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 6, 4, -20\/7, 54?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6816.1 + -6815. Which is the closest to -2? (a) g (b) 4 (c) 4\/19 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 6, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -46. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340086, -340144, -340200, -340254, -340306?\nAnswer: -340356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y + 3. Give u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -2*j. Find the common denominator of 61\/20 and j\/(-3) - 3056\/960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-9)\/g)*g*g*g**(-10))**(2\/37) assuming g is positive.\nAnswer: g**(6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435952.\nAnswer: 2, 3, 19, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/((-5904)\/(-3060)))\/1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/8 - 5*b**2. Let w(p) = -2*p**2. Determine n(w(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 45, -80, 560 in decreasing order.\nAnswer: 560, 45, 3, 2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2247063*n + 42694194. What is c(19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 - 3*m - 1. Calculate s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -130480 (b) 2 (c) 0.07 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*f - 2*f + 1572, -4*m + 2121 = -3*f. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 354.1 and -0.3.\nAnswer: 353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8937457 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + b**2 + 6*b - 1329 - 3*b.\nAnswer: b**2 - b - 1329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 0.4 (b) -0.5 (c) -6 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 170 = -2*z + 502, h + 518 = 3*z. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g**(-6\/7)\/g)\/g)*g**10 assuming g is positive.\nAnswer: g**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggigggggigiggig. What is prob of sequence ig?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418 - -3357\/8. What is the common denominator of v and -139\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 + 4. Let n be d(3). Let j(a) = a**2 + 3*a + 6. Let c be j(n). Let r(u) = u**2 - 16*u + 18. What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -4*u - 110. Let b be 1*2 + u\/(-27). Solve 0 = -4*v + b*k - 4, -2 = -v - 3*k - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(3) - sqrt(33)\/sqrt(99)) + sqrt(3) + 2)**2 - -1*sqrt(75)*1*-1*-3.\nAnswer: 160\/3 + 115*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16778771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 411821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 q when three letters picked without replacement from {s: 1, y: 2, a: 1, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 6*p + 8. Let b(w) = -3*w**2 - 5*w + 9. Let j(k) = 3*b(k) - 4*y(k). Give j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 2723\/27?\nAnswer: 2723\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {e: 3, v: 4, g: 7, c: 5}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2 + 2 - 2*o) - 18*o + 9*o + o + (4 - 4 + 2*o)*(2 - 4 + 0)*(-2 + 2 + 1)*(7 - 3 + 2).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3942, 15772, 35496, 63114, 98626, 142032?\n\"Answer: 3947*v**2 - 11*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4.2, 2\/179, -13, -0.7, -0.15, 0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -80. What are the prime factors of (6*a\/9)\/((-48)\/2088)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160028*z - 5*z**2 - 160028*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.876 - -0.124. Let i = k - 176. Let j = 125.251 + i. Round j to 2 dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = 3*c + 4, c + 14 = 4*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3860240 is divided by 231.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3014051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 35 = p, -3*p - 5*c + 215 = p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/38 + (-776)\/(-152). Suppose -45 = -y*s + 620. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*(1 - 6\/9). Suppose 0 = -0*k - o*k + 20. Determine r so that -k - r**3 - 3*r**3 - 2*r**4 + 6 + 4*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 3. Let f be v(-3). Let h be (f\/(-12)*0)\/(-1). Is h + 92\/4 - -4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10520083640 from -1.2.\nAnswer: 10520083638.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266760287 to the power of 1\/2, to the nearest integer?\nAnswer: 16333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - 2*m. Let c(t) = -4*t**3 - t**2 + t + 1. Let l be c(-1). Sort m, l, -4 in ascending order.\nAnswer: -4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*w**4 - 4638*w**3 + 201839*w wrt w?\nAnswer: 420*w**2 - 27828*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g - 93*g - 2*x = 122, 0 = 2*g - 4*x + 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40 (b) -2\/5 (c) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42693 by 21.\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 1, n: 2, j: 1, o: 4}. Give prob of sequence noj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -89. Let q(o) = 19*o - 67. What is the remainder when 234 is divided by q(y)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 669827.7 millennia?\nAnswer: 6698277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1720 + -1717. Let a(z) be the first derivative of 2*z**2 - 8*z - 2. Give a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v**4 + 2817*v**3 + 160251*v**2 - 224577*v + 61533 = 0.\nAnswer: -43, 3\/8, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - 32*i**2 - 637*i - 5106. Determine d(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, y: 12, u: 1, e: 2}. What is prob of picking 2 y?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25\/41, -2026, -102, -5?\nAnswer: -2026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-28\/3)*y**(-2\/31)*(y*y\/y**(6\/5))\/(y**(-1)*y) assuming y is positive.\nAnswer: y**(-3998\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 0 = -4*q. Let n(h) = -h - 17. Let s be n(q). Let p = s + 14. What is the common denominator of p and -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**4 - 4 - 7*g**2 + g**4 + 7*g**2 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 4*o**2 - 5420*o**3 + 6395*o**3 + 3*o**2 + 12325*o**3 + (-2 - 1 - 1)*(-6*o**3 + 7*o**3 + 4*o**3) as i + k*o**3 + m*o + t*o**2 and give k.\nAnswer: 13280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 6) - 5 - -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(((-276)\/16)\/(3\/(-6))). Let j = 6.9 + -7.4. Which is the third smallest value? (a) j (b) -5 (c) y (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**3 + 1 - 4\/105*t**6 - 1\/21*t**4 + 0*t**2 - 9\/70*t**5 + 14*t. Suppose h(y) = 0. What is y?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 175 - 137. Let s = -89 - q. What is the highest common factor of 20 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:33 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12\/5, 3, -1\/4, -1, 0.1, -7\/43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3. Let c(u) = 17*u + 3. Let p(i) = 3*c(i) + 6*w(i). Let o(r) = 25*r - 4. Let s(k) = 7*o(k) - 3*p(k). Is s(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9052 and 48679393.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9663 is divided by 4821?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 449c18 (base 16) to base 12\nAnswer: 160a108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 18*i**3 - 107728*i**2 - 10*i**3 + 107723*i**2. Let a(b) = 4*b - 3*b**2 + 8*b**3 - 3*b**2 + 2*b. Determine -5*a(c) + 6*d(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m + 1. Suppose 0 = -2*v + 2 - 10. Let c be w(v). Let b = c - -7. Solve -x = -s - 8, 0*s - b*x = -s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282312 and 43193736.\nAnswer: 43193736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 174, -3, 0, -1 in descending order.\nAnswer: 174, 6, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*p + 83*p - 171*p - 192 - 31 wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:42 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00209960834 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -83. Suppose 4*f + 108 = 2*b, 3*b - b = -5*f + p. What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 1 - 41 - (313 + -313).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159.096 + -159. Let g = 2.904 + u. Let d = -142\/315 + 1\/45. Which is the nearest to 1\/6? (a) g (b) d (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 771587 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1470\/(-252)*4\/10 + (-2410)\/(-1020)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.97 - 3.07. Let k be (9\/(-12))\/((-171)\/24 + 0). Which is the second biggest value? (a) k (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/3 + 4. Which is the closest to n? (a) 4\/3 (b) -5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 - 2*d - 6. Suppose 4*u = 17 - 5. Let b(p) = -2*p + 3*p**2 - 5 - 5*p**2 + p**u - 2*p**2. Calculate -6*b(z) + 5*o(z).\nAnswer: -z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 463912 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/3 + 155*u\/3.\nAnswer: -5*u*(u - 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 + -266. Sort -1, -4, 0, g.\nAnswer: -4, -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let d(l) = -7*l**2 - 4. Let n(w) = -w**2 + 1. Let g(i) = d(i) + 4*n(i). Determine g(x(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272 - 268. Suppose -l*h = 16, -2*k + 4*h + 21 = -k. What is the smallest value in 3, k, -5, 7\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19227, -38511, -57793, -77073, -96351, -115627?\n\"Answer: y**2 - 19287*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.09 - -0.09. Let v = -5.93 - 0.07. Let n = v - x. What is the second smallest value in -4, -3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:23 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1708\/210 + 4\/(-30). Solve -57 = v*f - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 3 (b) -3 (c) -11 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1050, -2407, -4076, -6057, -8350, -10955, -13872?\n\"Answer: -156*m**2 - 889*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3416581 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13718982 and 110995.\nAnswer: 68594910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11183, -22356, -33511, -44648?\nAnswer: -55767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387255491 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 15 + 205 = 0. Let i = t - 42. Find the third derivative of -18*m**5 - 23*m**2 + 14*m**i - 12*m**2 wrt m.\nAnswer: -1080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, 61, 377, 1031, 2143, 3833, 6221?\n\"Answer: 20*t**3 - 11*t**2 - 9*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose -y*g + 2*g = -26. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r**2 + 62*r - 29*r - 4*r**2 wrt r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + 0*b)*(5*b**4 - 3*b**4 - 3*b**4) - 58*b**5 - 364*b + 364*b.\nAnswer: -59*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 times 6312?\nAnswer: 3471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*d = -77*d + 42 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.105169918.\nAnswer: -0.105169918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 0.2, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493 + -448. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 105*n**3 + 19*n**2 + 36*n + 15. Let u(v) = -52*v**3 - 8*v**2 - 18*v - 6. Determine -2*j(h) - 5*u(h).\nAnswer: 50*h**3 + 2*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmffmffffm.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (3*sqrt(95)*-1 + sqrt(95))) + sqrt(95))\/(sqrt(35)\/sqrt(112) + sqrt(5)))**2.\nAnswer: 4864\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2420 divide 2705978660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 - 4*o**2 + 3*o + 36*o**3 + 10*o**2 + 5*o**4 + 0*o**4 + 2 - 8*o**2 to w*o**2 + v*o**3 + k*o**4 + d + i*o and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**3 - 30*s**3 - 6*s + s wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.665 - -3.165. Which is the nearest to 3? (a) f (b) -2 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 7*d**2 - d - 7. Calculate u(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 10. Let a(s) = 2*s**2 + 6*s + 3. Let i be a(x). Solve -i = 4*l - c, -3*l + 4*l - 3*c = -11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3251649, -3251650, -3251651?\nAnswer: -3251652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let o be l(6). Let w be 126\/(-567) - (1 + (-83632)\/18). Suppose w = 5*p - 5*a, 0*a = o*p + a - 4627. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most as big as 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, 0.2712076, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000399733802 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5387\/5 - 1077. Which is the closest to -0.2? (a) -8 (b) 5 (c) -3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -10845321.\nAnswer: -10845324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 147*x - 144*x = 18, 2*o + 5*x = -3. Solve 0 = -o*l - 2*l + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*u - 81*u - 598. Let y = -295 - u. Let f be (-3)\/(-1)*4\/6. Solve -2 = y*z - f*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(114)*-4 + sqrt(114) + sqrt(114) + sqrt(114) - sqrt(114))\/(sqrt(24)*1))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 - 66 + 46*m**2 - 45*m**2.\nAnswer: m**2 + 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (-4)\/8*18. Let h(w) = w - 3. Let n be h(0). Let g = n - z. Let s(u) = -27*u**2 - u. Give s(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**6\/30 + 11*m**5\/10 - m**4\/6 - 21*m**2\/2 - 15*m + 4. Find the third derivative of t(z) wrt z.\nAnswer: 24*z + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-5\/3))\/(n*n\/n**(-1)))\/(n\/(n*(n**(-3\/4)*n)\/n)*(n*n**(1\/6))\/n))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4158282?\nAnswer: 2, 3, 37, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-2)\/(-16)*40\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*-0.05\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwgggwwwwwgwgww. What is prob of picking 3 g and 1 w?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18*s - 722. What is b(41)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52219 + 163333. Let g = 114985 - 37099. Suppose -w = 3*o + g. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 303\/6)*(-2)\/(-6)*1\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 268 + 112 = 0. Which is smaller: x or -36?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4616 or 4603?\nAnswer: 4616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (840\/(-588))\/(4\/14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, u: 3}. What is prob of sequence uu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -w + 5*w - 4*h, 11 = w - 2*h. What is the derivative of -2*n**2 - 7 - w + 18 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, 3, 12, -3, -5 in decreasing order.\nAnswer: 379, 12, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8187.361ug?\nAnswer: 0.008187361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - 4)\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 4, -4 in decreasing order.\nAnswer: 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -2*a + 102 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -494 + 497.78. Let d = y - 26.78. What is the second biggest value in 0.4, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94930 and 110?\nAnswer: 94930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - 9) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(-4))*s))\/s)\/s**15)\/(s**(2\/9)*s*s*(s\/(s*s\/(s\/(s**(-7\/6)*s)))*s)\/s) assuming s is positive.\nAnswer: s**(-403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10716\/(-285) + 38)*60\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, 33, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136541 (base 8) in base 7?\nAnswer: 261226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4124*r - 3450*r = 621068 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -44. Let t = -20 - z. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 972048?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*k = 29, -100*w + 105*w - k + 11 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17365381 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + 3 + (-7)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (138\/115)\/(4\/10). Suppose 0 = i - 2*i, 4*l = -h*i + 120. Solve 3*z - r - 3*r = 14, 5*z = -4*r - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**21*w**(3\/11)*w*((w*w**9*w)\/w*w)**(15\/2) assuming w is positive.\nAnswer: w**(2327\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325)*-1)**2 + 3 + (-5*(sqrt(325) - (2 + sqrt(325))))**2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 15123*s**5 - 15975*s**4 - 74751*s**3 - 41121*s**2 + 2496*s - 36 = 0.\nAnswer: -1, 2\/71, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87846000 rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*g + 1065 = -9*g, 0 = 3*d - 5*g - 633. Let c be 2 + 2 - (-21 - -19). Suppose -c*y - d = -15*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 525*a**2*j**3 - 3*a**2*j**2 - 10490*a**2*j + 33*a*j**3 - 2*a*j + a + 2*j wrt j.\nAnswer: 3150*a**2*j - 6*a**2 + 198*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3488, -7344, -11198, -15050, -18900, -22748, -26594?\nAnswer: -30438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b - 20. Let z be w(-8). Suppose -12 = -6*v + z. Suppose 0 = 7*d - 6*d - v. Solve 2*i = -r - 4, 0 = 4*r + d*i - 0*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-2 + 9)) + 1*7. Which is the nearest to k? (a) -0.07 (b) -0.14 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = 0, 0*p = -p + n + 7. Suppose -150 = -2*m - 2*q, -p*m = -m - 3*q - 237. Let c = m + -2001\/26. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 45 = 0. What is the remainder when (84\/(-10))\/(4\/(-20)) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -941, -1448, -1971, -2516, -3089?\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/5 + 473*s**2\/5 + 9796*s\/5 + 31552\/5 = 0.\nAnswer: -16, -4, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m + 5 - 2*m + 2*m. Let t be v(-5). Let n = 1 + 14. Calculate the greatest common factor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*4\/(-3 + -1). Suppose 4*p + 359990 = 2*s, -5*p - w*s - 450005 = -s. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 14344?\nAnswer: -14344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 2. Let b be j(1). Let x(r) = r + 2. Let t(p) = p + 2. Let m(q) = -4*t(q) + 5*x(q). What is the units digit of m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00612863773 rounded to 7 dps?\nAnswer: 0.0061286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*1\/(-18))\/((-5)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3775685, -7551364, -11327043, -15102722?\nAnswer: -18878401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -712 (base 15) to base 9\nAnswer: -2158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 0.3, 0.5, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + (35 - 18) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*y + 16, -3*z + 4*y = 5*y + 14. Let m be 1 - (1 + (-6 - z)). Solve -4*s + m*s + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 20 = -3*k, -8*k - m + 6*m + 52 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 19*s - 6. Let q be n(13). Is (-3)\/(-3) - 1 - q - 1 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5) - (-62 + (-41109)\/(-710))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 1) + -7 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 + 280*q**3\/3 + 3959*q**2\/6 + 945*q.\nAnswer: -q*(q - 567)*(q + 2)*(q + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1096 by 307.\nAnswer: -1096\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 44548.0926354.\nAnswer: 44548.4926354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4837, -7999, -9485, -9295, -7429, -3887, 1331?\n\"Answer: 838*b**2 - 5676*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -11 - 21. What is the smallest common multiple of c and (3\/1)\/((-12)\/(-100))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 73*w - 30528*w**2 + 30529*w**2.\nAnswer: w**2 - 92*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a - 3. Let z(o) = -5*o**2 - 13*o - 3. Let v(m) = m**2 + 2*m. Let s(q) = 6*v(q) + z(q). Let w = 2 + 2. Determine w*s(u) - 3*i(u).\nAnswer: u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-6 + 3 + 0)*(-2*p - p + 12*p).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a - 24*a - 24*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**3\/6 + 2788*a. Let p = 2 + -1. Let v(x) = 4 - 5*x**2 - 5 + p. What is v(c(m))?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**7\/252 + o**4\/3 - 20*o. Let c(l) be the third derivative of t(l). Let q(s) = 5*s. What is c(q(k))?\nAnswer: -250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/27 and -13\/389121189.\nAnswer: 3502090701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z - 21. Is j(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/21)\/w**(-1\/43) assuming w is positive.\nAnswer: w**(-65\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -12284, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 76\/7 (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggppgp. Give prob of picking 3 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.21198 - -0.21198. What is the biggest value in 13, -0.5, -0.04, 1\/9, y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41963293 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (12 - 27) - 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*k + 1200 = 189*k + 133*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81311, 162635, 243957, 325277, 406595, 487911?\n\"Answer: -w**2 + 81327*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 20*t - 34. Determine c(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45001\/60 - 3762\/5. What is the common denominator of 137\/30 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84185 is divided by 80435.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate the remainder when 12551 is divided by 6640.\nAnswer: 5911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -5. Let d = -4 + p. Suppose -f - 2*h + 10 = 0, -2*h - 13 = -f - d*h. What is the third smallest value in -4, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1281 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Suppose b*m - 568 = 41. Is 7 a factor of m\/14 + (-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 - (0 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28204204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 35 + 1 = 0. Let g be -3 + 1 - r\/(-3). Suppose g + 4 = -2*y, 4*x = -3*y + 336. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, p: 4, a: 7}. What is prob of picking 3 p?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1520 and 12085900.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 - -352. Let j = -335 + g. Suppose -4*r + 4*l = -2*r - 140, -4*r + 4*l + j = 0. What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 172, 179, 186, 193?\n\"Answer: 7*n + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -339737.91 rounded to the nearest one thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 58\/3. Let j be (6 + -4)*(-6)\/(-4). Suppose 0 = -j*r + r + 10. Which is the biggest value? (a) t (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.98 and 40499338.\nAnswer: 40499329.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 + (5 - 0). Let c = -31 + 32. Let w(s) = s**2 - 5*s + 5. Let k(i) = 1. Let h(y) = c*w(y) - 2*k(y). What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w**3\/11 + 183978072*w**2\/11 + 245304024*w\/11 + 81768000\/11 = 0. What is w?\nAnswer: -3407000, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28459 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*11\/(-3) + -4. Is v equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 49*n - 144 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjvp when four letters picked without replacement from {v: 1, h: 2, j: 4, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 824 and 16?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 10) in base 5?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*p + 62, -2*z = z - 3*p + 18. Let c = z + 13. Find the second derivative of -7*h + 10*h + 34*h**c + 11*h + 6*h wrt h.\nAnswer: 204*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 0.5 (c) -3.92 (d) -0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, 17, 2, 5 in decreasing order.\nAnswer: 32, 17, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-714)\/(-192) - (5 + (-5)\/5). Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r + 55*r**3 + 0*r - 1243*r**2 + 386*r**4 - r - 380*r**4 wrt r.\nAnswer: 144*r + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 2:21 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -s + 5*m, 3*s = -2*m + 3*m - 7. Let p be (2\/(-14))\/(s\/(-9)). Let h = 51 - 46. Which is the third smallest value? (a) 1\/4 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 225652, 225658, 225664, 225670, 225676?\n\"Answer: 6*y + 225646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6729*n + 3. Let y be s(-3). Suppose 11*b = 5*b + y. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8*h + 24. Let d(r) = 2 + 3 - 3*r**2 - h - r**3. Give d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9874116 rounded to 2 decimal places?\nAnswer: 24.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14431 + 130436\/9. Let h = -62 + s. Which is the third smallest value? (a) h (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 9. Let l be u(-4). Let t be (-2 + l)*(-5 - -2). Let p(z) = -z + 3. Let w(f) = f - 1. Let h(d) = t*w(d) - p(d). Calculate h(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - -0.01. Let u = 0.5 + -1. Which is the second biggest value? (a) v (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 328. Let l = j + -124. Suppose 3*g - 2*g = 3*t + 143, -g - 5*t + l = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/23 (b) 3 (c) 0.4 (d) 2.4 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1041723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2280 divided by -10\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:11 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520359548.\nAnswer: 2, 3109, 41843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m + 1269485, 4*m = 3 + 17. Round u to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23299303841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 827390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2860*h**2 + 3 - 830*h**2 - 3 - 800*h**2 - 943*h**2.\nAnswer: 287*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.19. Let n = -1 - 0. Let g be (-1)\/n + 22\/(-26). Sort d, g, -4.\nAnswer: -4, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 13*v**2 + 5 + 1 - 1 as t*v**2 + u*v + l and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/84*((-140)\/14)\/(7\/((-294)\/24)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 1551?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*n = 9, 3*x = -5*n + 8*n + 9. Solve 5*l = 2*w - 16, -3*l - 3*w = -x - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -4 (b) -348\/127 (c) 7\/2 (d) 2\/13 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 9*t + 52. Give r(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15 + 0 - 10\/25. Let f be r + 1\/12 - (-5)\/(-15). Which is the second biggest value? (a) 0.5 (b) f (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*o + 13 = -2, -a - 2*o + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, r: 2, a: 9, p: 2, v: 3}. What is prob of picking 1 z and 2 p?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 5 - 7*x**2 - 2*x + 2*x**4 - 2 + 10*x**2 + 2*x**3 as t*x**4 + b*x + q*x**3 + d + v*x**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 + 2*s**2)*(-2 + 2 + 2)*(6*s + 4*s - 4*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = 27. Solve 12 = 2*i - t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = 19. Suppose f*j - 68 = 7. Let r = 12 + -7. Solve j = -5*d + r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 5. Let i be 0\/((-6)\/4*(-32)\/12). Let h be i\/((10 + -6)\/(3 - 1)). Give n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 382126662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1140 + 1139.9999529. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94197.67nm in kilometers?\nAnswer: 0.00000009419767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -2.44. Let d = n - 3. Let r = 678\/7 + -97. What is the second smallest value in d, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927666600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 + 23\/4. Suppose z = 2*i - 3. Suppose 10*t - 4 = 9*t. Solve t*b = 2*x - 0*b, i*b = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 170070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 25. Determine p(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27397 - 553 = -559*f for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 812, 813, 816, 821, 828, 837, 848?\n\"Answer: j**2 - 2*j + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278261 is divided by 894.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508373823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*d - 7, -d = -0*o + 2*o + 5. Let w = d - -10. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 4*d - 4*z + 9, -5*d + 2*z = 86. Let t = 2 - d. Solve -4*x + 16 = -4*a, -1 + t = 4*x - 5*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 4*k**2 + 7*k + 1. Let n(c) = 4*c**3 - 7*c**2 + 15*c + 2. Suppose 237*t - 2723 = -66*t - 86*t. Give t*r(q) - 4*n(q).\nAnswer: -2*q**3 - 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 less than 2992888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8382283 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 + 6*i + 6. Let a be (0 - 1 - 4)\/1. Is 13 a factor of y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2921 and 0.01.\nAnswer: 29.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 12. What is the tens digit of (c\/(-1))\/(21\/(-280))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7102076.858 rounded to the nearest one thousand?\nAnswer: 7102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.4 - 19.3. Let j = 8.11 + -0.11. Let d = r + j. What is d rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 4:04 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2852 - 4040 = -66*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p. Suppose k = k - 17*k + 51. Let m(r) be the second derivative of 0*r**k - 5\/12*r**4 - 11*r + 0 - r**2. Determine x(m(y)).\nAnswer: 10*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6219?\nAnswer: -1\/6219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 151470 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + -3 + (-16 - -22)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = -2*m + 3*p, -p - 6 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 22*l**2 - 82*l + 5. Give p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 13. Let h be q(15). Let u = 43 - h. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000189277 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(304) + sqrt(304))*-3)**2*-3 - (sqrt(1216)*2*-3 - (sqrt(1216)*3 + -3 + sqrt(1216)))**2.\nAnswer: -121609 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1456575 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(4 + sqrt(80) + (-1*sqrt(80))**2 + sqrt(80) + 0).\nAnswer: 40*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2449 - 2616 - 475)*(-3*b + 3*b - 2*b).\nAnswer: 11080*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 2624185.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 6. Let z be q(4). Let g = 117 - -61. Suppose 0 = y - 2*w - 46, -6*w = 3*y - 4*w - g. What is the greatest common factor of z and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n + 2*n - 3*n. Let a(x) = x**2 + 4*x. Let b(f) = f. Let i(j) = a(j) - 4*b(j). What is d(i(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 92b (base 13) to base 16\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 3022122?\nAnswer: -3022130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0 - 1\/20*s**5 + 7*s**2 - 8*s**3 - s**4 + 0*s. Find n, given that g(n) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 - 81)\/(0 + -1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008828 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 877*y**2 + 4.\nAnswer: -877*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 + 766*j**3 + 196596*j**2 + 17161256*j + 65548256 = 0. What is j?\nAnswer: -254, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(-2*sqrt(4)) + (sqrt(52) - (sqrt(624)\/sqrt(48) + sqrt(52))))\/(sqrt(40)\/(1*sqrt(10)) + -3*sqrt(100)).\nAnswer: sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8 and -85\/49628108.\nAnswer: 99256216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17893*z - 2*z**2 - 8891*z - 9002*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.47 > 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 60, 131, 230, 357, 512?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 + 110 = -y, -h = y - 13. Suppose -h + 6 = -3*p. Solve -p*g - 15 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 116, 107?\n\"Answer: -9*z + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012960117 rounded to 7 decimal places?\nAnswer: 0.0001296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let x(q) = -q**2 + q. Let p(j) be the second derivative of 5*j**4\/12 - 5*j**3\/2 - 7*j. Let a(t) = -2*p(t) - 30*x(t). Determine m(a(g)).\nAnswer: -400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(75) + sqrt(3)) - (sqrt(84)*-2)\/sqrt(2))\/(6*(sqrt(72)\/(sqrt(12) - (-1*sqrt(12) + sqrt(12))) - -1*sqrt(18)\/sqrt(3)))*-4.\nAnswer: -13*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488523183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 4 - -48)*-1. Let a = 148\/3 + w. What is the closest to 0.1 in a, 0, -0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (51\/9)\/(378\/(-81)) and 61\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069*n - 269*n + 10*n + 927*n)*(n**4 - 4*n**4 + 4*n**4).\nAnswer: 1737*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248773 and 1519.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*2\/(-21)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -0.4, 5\/6, -0.8.\nAnswer: -0.8, -0.4, 0, 0.4, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {e: 4, w: 2, s: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)\/(sqrt(45)\/sqrt(5) + sqrt(9)))\/(-2*sqrt(75)))\/(sqrt(32)\/sqrt(324) + sqrt(8) + sqrt(8) + sqrt(8)*2*-2).\nAnswer: 9*sqrt(2)\/340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 25*f**2 - 3*f - 5. Let o be c(-23). Let d = -549 + o. Find the third derivative of -15*h**2 + 573*h**4 - d*h**4 + 8*h**5 wrt h.\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-655)\/(-2620) + 4\/((-32)\/(-2502))?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 66, 150, 268, 420?\n\"Answer: 17*l**2 - l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17236187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 113.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:01 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 11 + (-3)\/(-3). Let m be 3\/(-2 - 1)*-2. Let f(t) = -4*t**3 - t**2 - t. Let h be f(-1). Put h, m, u in descending order.\nAnswer: u, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 31*w**4\/2 + w**3\/3 + 55*w + 1. Differentiate j(g) with respect to g.\nAnswer: 186*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56928 = 79*x + 134*x + 380*x for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -1 (c) 14 (d) -1\/6 (e) 4 (f) -1\/120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -3 (d) 402\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 3*a - 33 = 0, -5*q = 4*a - 49. What are the prime factors of 6 - (5 + q\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132266\/301 or 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4943 and -63.\nAnswer: -31.1409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 39.7. Let d = -1.3 - i. Which is the nearest to -2? (a) d (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a9 + -5187?\nAnswer: -409a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 13*y\/3 - 477\/2.\nAnswer: (y - 27)*(y + 53)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4871 + 1617 + 6*h**2 + 1609 + 1645 - 16*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 - -213413?\nAnswer: 213121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-9)\/(-24)*8\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16666*b**3 + 3*b**2 - 2*b. Let f be n(2). Let i = 71320 + f. What is i rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 75. What is s(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 3.06 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4*g = -12. Suppose g*d - 41 - 739 = 0. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 15*l - 18. Let i be s(12). Let o be 20\/i*(-108)\/(-90). Which is the biggest value? (a) -4\/5 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f8ff - -4?\nAnswer: -1f8fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 13, -0.3, -1, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2500*d**2*q**3*w**2 - 7*d**2*q**2*w**2 - 181*d**2*q**2*w + 2964*d*q + 13977*q**3*w**2 + 2*q**2*w + w**2 wrt q.\nAnswer: -15000*d**2*w**2 + 83862*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175439 (base 13) in base 15?\nAnswer: b7abe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-18))\/((-17)\/((-102)\/4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 72030*q + 792088.\nAnswer: 2*(q - 36004)*(q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11\/6)\/m**(-1\/4)*(m**9\/m)**(3\/14) assuming m is positive.\nAnswer: m**(11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose u = -z - b + 4, 3*z = 5*b - 2 + 6. Let m(j) = 2*j**3 - 4*j**2 - 1246*j - 47. Let g be m(26). Solve z*w - 11 = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*(sqrt(204)*-1 - sqrt(204)))\/(sqrt(36)\/(-2*sqrt(3)))*1)**2 + 1.\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*m + 2 + 9 = 0, 32 = 4*k + 3*m. Suppose 5 = 3*f + f - n, k*n = -25. Solve f*y + 9 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.06937.\nAnswer: 0.027748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.7. Let n = 3 + -3.2. Let p = n + w. Which is the nearest to -1? (a) -3 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095697199 rounded to seven dps?\nAnswer: -0.0000957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -10 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1403 + -43481\/8418. Let r = -10628 - -5099. Let p = r + 121667\/22. Find the common denominator of p and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77689285.\nAnswer: 5, 23, 675559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2*j - 2. Let b be n(-2). Let y be 0 + 0 - 0 - b. Let c = 2 - y. Is 1\/9 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -21, -81, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -1, -1, -9, -31, -73?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 2 + 11*t + t**2 + t**3 - 5*t**2 - t**2. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, -0.3, 2\/15, -321?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.424, 88, -0.3?\nAnswer: -0.424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6045069 and 2064?\nAnswer: 96721104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -55 + (13 - 6\/1). What is the tens digit of 11\/(4\/(-186)*b\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384.3143 + -3.1043. Let b = -8.79 - j. Let m = 390.0171 + b. What is m rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9175 - -6291.7. Round f to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1517*g + 0 - 33 + 9 + 23 as z + u*g and give u.\nAnswer: -1517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 6*i + 14. Let n be r(4). Find the first derivative of 102*c**2 - n*c**2 - 39 + 30*c**4 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 4*m)*(0 - m + 0 + (-1 + 0 - 1)*(m + 0*m + 7*m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1544996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*i**4 + 3*i**3*s**2 + i**2*s + 1297*i**2 + i*s**2 wrt i.\nAnswer: -4584*i + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 15*s + 85. Let x be j(-9). Solve -1 = 6*n - x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 7 - 6*i**3 - 7.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013201 - 3200220?\nAnswer: -10220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260507 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208399\/2 - 104199. Let r = 4 - 6. Let k = r - 1. Which is the closest to d? (a) 0.01 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -32\/113161 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1.30129593 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 441*f**3*m**3 + 715*f**3*m**2 - 286*f**3*m + 9*f*m**3 - 39*m**4 wrt m.\nAnswer: 2646*f**3 + 54*f - 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394478404133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1630125, 6520536, 14671229, 26082210, 40753485, 58685060, 79876941?\n\"Answer: v**3 + 1630135*v**2 - v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2555 - -1698. Let w = f + 856.999999621. What is w rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 5. Suppose -a = -2*p + 11. Suppose -p = -4*x + 6. What is the smallest common multiple of 7 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*d + 21*d - 27*d)*(-5*d + 6*d + 5*d).\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**4 - 123601*j**3 - j**2 - 2*j - 810689.\nAnswer: -432*j - 741606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 202?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3111 + -3111. Solve f = -p + 4*p - 12, -4*b = 3*p + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q = 120*q + 923 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65245633 at most 65245632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from {a: 3, s: 2, h: 2, q: 6}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g. Let n(k) = k. Give 11*n(f) - 6*y(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 15 = 0. Suppose -2*j + 136 = -x*s, 0 = j - 5*s - 60 + 2. Suppose j + 32 = 5*y. What is the lowest common multiple of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 55 + (-10 - -97 - 72) - (-13 + 1)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjtjjtjjjjjjjjjjj. Give prob of sequence jjt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 354829 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 99.04. Let p be 240\/64 + 4\/16*1. What is the third biggest value in v, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16302646103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 1 - 2\/27*a**3 + 0*a + 0*a**2. Factor k(s).\nAnswer: -2*s**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - 2) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 392444083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.2 and 3.0088.\nAnswer: 1.8088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -3, -2, 1\/4, 12, -7.2, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.40495*-11.4.\nAnswer: 301.01643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*o - 323*o + 1230. Solve -37*g + o = 341 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4*s + 31. Let r be h(-8). Let q(t) = t. Determine q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2172.8 + 2168.8. What is the fourth smallest value in -3\/8, r, -1, 21, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 750 = -10*z. Let d be z\/(-39) - (-6)\/39. Suppose 33 = i - d. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 19*p**2 - 62*p - 625. Determine m(23).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 326*o + 4759. Give p(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.32 + 1.42. Suppose -h + 4*h = 0. Put t, h, -4 in increasing order.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190765405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*p**2 + 2 + (p - 12 - 5 + 18)*(-3*p + 3*p - 2*p) + (6*p + p**2 - 6*p)*(6 + 0 - 7).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*j - 115 + 43, 80 = 4*j - x. Let i(b) = 12*b - 7. Calculate the remainder when i(4) is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-11)\/176 + 825\/1936). Find j, given that 43\/2*j - j**2 + z = 0.\nAnswer: -1\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -367*a*i**2 + 2*a*i - 286*i wrt i?\nAnswer: -734*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4625 and -187\/630.\nAnswer: 582750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -671 - -671. Let z(k) be the second derivative of -6*k + 3\/2*k**3 + 0*k**2 + t. What is z(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 0 = -y*d - 2*d. Is 25 a factor of 0 + (25 - (0 - d))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 101280 = 269*g + 227*g. Solve 0 = -210*v + g*v + 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -399 - -401. Suppose 0*b - 3*b = -3*j + 9615, 3*j + i*b - 9605 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcllccc. Give prob of sequence llc.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165459 is divided by 253?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, g: 1}. Give prob of sequence gx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 1836.518.\nAnswer: 1853.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 34. What is the common denominator of 150\/16 - n\/8 and -69\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9594 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -17. Let g = c + -11. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11020065 - 140?\nAnswer: -11020225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*g + 32 - 4*g**3 + 3*g**3 - 6 - 32 to z*g**2 + q*g**3 + m + j*g and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56211826 by -187.\nAnswer: 300598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95748 and 287244.\nAnswer: 287244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/5 and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26243 is divided by 13121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - b - 8 = 0, -i + 5*b + 1 = 18. What is the third derivative of 3*o**2 + 3*o**2 + i*o**5 - 4*o**2 - 5*o**2 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212400 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 13\/24*y**4 - 7\/30*y**5 + 0*y + 8*y**2 + 0 + 0*y**3. What is the second derivative of j(o) wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 minutes before 4:08 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 179537959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 1628 = 54340. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-26) - (5838\/(-13))\/6 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -42. Suppose 2*v = -v + h. Let d be 114\/(-54) + 3\/27 - -7. Solve d*k = 4*k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 405*i**2 - 574534*i + 4569840.\nAnswer: (i - 577)*(i - 8)*(i + 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250118068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:09 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**5\/120 + u**4\/24 + u**3\/3 - 1. Let w(f) be the third derivative of q(f). Let p be w(-2). Solve s + p = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 27*m - 45. Let i be y(-25). Solve -5 = -3*t + x, -4*x + 5 + i = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 59*z - 2716. Let x be d(46). Put x, 4, -4, 6 in decreasing order.\nAnswer: 6, 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295.5 - 22.5. Let u = s + 317. Which is the third biggest value? (a) -0.1 (b) 3 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 9, m: 3, e: 4, s: 1}. Give prob of sequence es.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2506016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*l - 2*l + 12, 0 = 2*k + 2*l - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/12*(-7)\/(84\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/7415 and -27\/31625?\nAnswer: 46899875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 18. Let x = b - -12. Suppose 0 = -l - x*l + 356. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36227 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2766*c - 870. Let i(j) = 1383*j + 446. Let v(o) = 6*a(o) + 13*i(o). What is the derivative of v(l) wrt l?\nAnswer: 1383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585.362051 microseconds in weeks?\nAnswer: 0.0000000026212996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-273)\/91)\/(4\/(16\/2394)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s - 2*s. What are the prime factors of (-12)\/s + (-30)\/5 - -192?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - h + 168 = 140, -1 = r + 4*h - 28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**2 - 5*z**2 - 1 - 37*z + 42*z + 472*z**3 - 471*z**3. Suppose 13 = 4*v + 5. Suppose 0 = 3*n - p - 13, -n - p = v*n - 11. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14597, -29039, -43493, -57959, -72437, -86927, -101429?\nAnswer: -115943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 at most 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-11)\/7)*-14. Suppose j + 10 = 10*b. Solve y = -2*u + 5, 4*y + 0 = b*u + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(20)\/sqrt(2)))\/((-2*sqrt(132) - sqrt(132))\/sqrt(11)) - -2*3*(sqrt(5) + sqrt(5) + 1 + sqrt(5)*-2).\nAnswer: -sqrt(5)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.00168 - 0.01608. Let t = a - 13. Round t to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l - 884 = -8*l + 26*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -55, -132, -237, -364, -507, -660?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 27540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 435 (c) 2\/7 (d) 0.12 (e) 9 (f) -0.5 (g) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317782.\nAnswer: 2, 29, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - 8*k - 9. Let s be c(-6). What is the tens digit of (-2 - s) + (-1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 270*v + 532.\nAnswer: 2*(v + 2)*(v + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**3 + 4*d**2 - 13*d. Let o(p) = 5*p**3 + 2*p**2 - 6*p. What is -5*o(b) + 2*w(b)?\nAnswer: -3*b**3 - 2*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:08 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7208.296mm to nanometers.\nAnswer: 7208296000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 15 = t. Let i(r) = -3*r**3 + 0*r**3 - 2*r + 6*r**2 + 4*r**t - 6. Let u be 81\/18*(-7)\/(126\/24). Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63033395 less than 63033402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1592 divided by 4.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50429 + 50429 + 918*o**2 - 298*o**2 + (-o + o + o)*(0 + 2*o + 0).\nAnswer: 622*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -28*h - 208. Let l be y(9). Let b = -338 - l. What is the remainder when b is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22576786 is divided by 197?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2020527 and -1035.\nAnswer: 2019492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 16*h**2 + 1 - 18*h + 5*h - 22*h to the form x + b*h**2 + w*h and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -95909 > -95880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12\/211 - 13468\/633. Let l = a + 21. What is the nearest to l in 3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/22*-2*8\/36\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 6*h + 6. Let g be y(-2). Suppose -g = -n - 2. Which is the closest to 3? (a) -0.3 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36548 and 143120.\nAnswer: 1307687440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:18 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*67602774.\nAnswer: -20280832.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:48 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15737 + -15736.99992021. Round s to six decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 15, t: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 10. Suppose -24 - 23 = -5*n - 4*f, -n - 2 = -3*f. Let s be o(n). Suppose s*a - 45 = -0*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 228 = -3*w + 4*d, 5*d = 15. Let r = w + -70. Suppose 2*u = -p + 19, -3*p + 0*u - 4*u = -49. Is p >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -5, -10831?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 13*l**2 - 3*l + 20. Determine z(-9).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 63 + 20*g)*(9*g**4 + 180*g**3 - 180*g**3).\nAnswer: 180*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 - 1 = 0. Let p be (-133884340)\/(-6) + b\/12. Suppose p = 3*u - 23885943. What is u rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6851 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -15.\nAnswer: -89\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254799178*p**2 - 242239597*p wrt p.\nAnswer: -509598356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - (-3 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - (-26 - (-2 + (-12 - 0) + 6) - -6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 3, 12, 34, -14, -180 in descending order.\nAnswer: 34, 25, 12, 3, -14, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-60)*7*2\/(-7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*y = 5914, -28*t - 4*y - 29588 = -33*t. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*d + 919*d + 187*d**3.\nAnswer: 187*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8658510 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -244 (b) -2 (c) -3201 (d) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 0 - 3)\/((-15)\/370) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/262121?\nAnswer: -10\/262121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389543602.\nAnswer: 2, 7, 29, 959467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/537803 or 0?\nAnswer: -2\/537803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 489586\/14 + 7\/(49\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-9464))\/((-6)\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - r + 4, 4*r = -4*v + 20. List the prime factors of 12 - v*(-2)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(7\/315). Solve -3 + k = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 67 - 13 = 0. List the prime factors of (-1278)\/r - (-8)\/(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/21376 and 67\/384?\nAnswer: 64128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0 - 2) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3320*b + 10 = 3318*b, 3*v = -4*b - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 38, 1\/6?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/53, -0.441, -510.\nAnswer: -510, -0.441, -4\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/16968 and -139\/5454.\nAnswer: 152712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -7*a**3\/3 + 29*a**2\/2 - 28. Find the second derivative of x(n) wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let t(u) = -3*u**2 - 114*u + 252. Let v(y) = -t(y) - 3*z(y). Factor v(r).\nAnswer: 3*(r - 2)*(r + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/72 + p**3\/36 - 22*p. Find x, given that g(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*k = 11720. Suppose -5*n + 9*n = k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -304, -518, -754, -1000, -1244?\n\"Answer: 2*a**3 - 29*a**2 - 107*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -494 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9108 = 2*h - 9120. Suppose 8\/9*v + 0 + 8\/9*v**h - 8\/9*v**4 - 2\/3*v**3 - 2\/9*v**5 = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-586 - 909 + 291)*(10*h + 1 - 1) as d*h + v and give d.\nAnswer: -12040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.485292 years in centuries?\nAnswer: 0.07485292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 2296.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = k - 6, 10 = 15*k - 13*k - 12*b - 2 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -5. Suppose 47 = 5*j - 18. Are j and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 64*l**2 + 13. Let k(m) = -m. Determine k(n(j)).\nAnswer: -64*j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1464461223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 2. Let a be o(0). Solve 0 = -3*d - 6, a*k - 3 = 2*d + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckckmmcccccccc. Give prob of picking 1 c, 2 m, and 1 k.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Let v(r) = 2*r + 3*r - b*r + 0*r. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.2. Let c = 13.536 + -13.236. What is the closest to -0.7 in -0.3, x, 1, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14902.2973 rounded to the nearest 10?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -2\/11 (c) -2\/3 (d) 1\/19 (e) -1.09 (f) 365\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 + 33 = 0. Suppose -r*j + 22*j + 482 = 0. List the prime factors of j.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 7. Let x be 6\/9 + 69\/(-9). Let m be b(x). Solve 5*j + 23 = -c, 0 = 4*j + 4*c + 19 - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22562771801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 259686.\nAnswer: 519372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.98 + -0.02. Let g = v - -1.4. Let s = -0.3 + -0.7. Which is the nearest to s? (a) -3\/7 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(4\/1))\/((-1)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1053)*3)**2 + (sqrt(1053) + -2)*3 - 4*sqrt(130)\/(-1*sqrt(250) - sqrt(10) - sqrt(10)).\nAnswer: 193*sqrt(13)\/7 + 9471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*357\/238.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {c: 1, a: 1, l: 2, s: 1, b: 5, h: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - k**2 - 7*k**2)*(-k**2 - 4 + 4) + (4 + 25 - 7)*(3 - 1 + 0)*(3*k**2 - 3*k**2 - 5*k**4) as u*k**2 + s + g*k**4 + j*k + i*k**3 and give g.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stssvvsv. Give prob of sequence vvt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-46)\/(-805)*-40?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 g, and 1 l when four letters picked without replacement from gnvglnggngngggg?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -0.123 (c) 1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 0.4 (c) 2\/7 (d) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*m + 1536*m - 580*m - 577*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4905965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -69. Solve m*b = 9 + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 + -0.1. Let d be (-2)\/(-3) + (-4)\/(-30). What is the third smallest value in -1\/3, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 4739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 298043\/396 + 61\/99. Let r = -745 + x. Let g = 669 + -1305\/2. What is the common denominator of g and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 363\/15 - (2 - 18\/10). Suppose -2*w - 23 - 3 = 0. Let u be (-2)\/j - w\/(-78). What is the closest to u in -0.3, -2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 815*f**4\/12 + f**3\/2 - 14*f**2. Let o be y(2). Suppose -2*p + 5*u + 0*u = -1301, 5*p - 2*u = o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 26, -0.4, 0.6, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.3. Let z = 0.1 + -0.1. Put z, -5\/4, x in descending order.\nAnswer: z, x, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7\/5)*s**(-12)*(s**0*s)**(-48) assuming s is positive.\nAnswer: s**(-307\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*o + 15 = 99, -124 + 11 = -3*m - 5*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 + -0.8. Let n = -1326.517 - -1327. Let x = 43.483 - n. Which is the second biggest value? (a) 1\/6 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + w = 54, 0*y - 3*w = 3*y - 78. Let r = y + -19. Solve 3*d = -r - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 + 18 = 0. Let q = f + 76. Let p = q + 20. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2605395 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 10 = 0. Suppose 5*r - 3*g + 40 = 0, 5*r + g + d = -3*g. Let z(x) = -x - 12. What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1598 = 4*c, 5*o - 15*c + 18*c - 7905 = 0. Calculate the remainder when o is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 2. Let w be x(-4). Find the second derivative of -5*n - w*n**5 - 7 + 7 + 0*n**5 wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302 (base 5) to base 9.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**2 - 389838*w + 1949015.\nAnswer: (w - 5)*(7*w - 389803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 20*y**3 + 17*y + 17. Let m(f) = 5*f**2 + 7*f**3 + 6 - 5*f**2 + 6*f. Suppose -3*o + 2*o = -45. Let q = o + -39. Calculate q*k(t) - 17*m(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p = -44*p - 8. Let w be ((-1)\/(-10))\/(p\/(-24)). Which is the smallest value? (a) -5\/3 (b) 1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -746*r + 741*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5*y + 11 = 4*m - 2*y - 5, 5*y = 6*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102200 - -12?\nAnswer: 2102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*3*1)\/((2*sqrt(96))\/sqrt(8)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*m = 720*m - 367*m + 1485 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 5*p - 38 - p**2 + 17 + 16. Determine w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 7*f - 6*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*g**3*y + a**3*g**2*y*z - a**3*y - 2*a**2*g**2*z + 9*a*g**3*z + 10*a*g**2*z - 95*g**3*y**2 - g**2*y**2*z - 2*g*z wrt g.\nAnswer: 6*a**3*y + 54*a*z - 570*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372 (base 13) to base 7.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, 2836 in increasing order.\nAnswer: -2, 0, 1, 2836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 y, and 1 i when four letters picked without replacement from yiippqppzzypqzzizz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-328*q - 3164*q - 165*q - 1192*q)*(4 - 2 - 3*q**2 + 1) to z + n*q**3 + j*q**2 + f*q and give f.\nAnswer: -14547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 16 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {t: 6, q: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let a(w) = 3*w - 4. Let r(q) = -3*q + 3. Let t(y) = n*a(y) - 4*r(y). Let f(u) = u. What is f(t(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 776\/91 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -21 (c) -585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -611, -2567, -5865, -10505, -16487, -23811?\nAnswer: -32477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuu. Give prob of picking 1 y and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 12*k**2 - 46*k - 386. Let u be t(-11). Which is the closest to u? (a) -3 (b) 2\/29 (c) -2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 19*o - 9. Let u be 3 - 4\/(16\/36)*1. Let j(p) = -9*p + 4. Give u*v(s) - 13*j(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 1, g: 3}. Give prob of sequence ngne.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Suppose 83472 = 2*d + 4*l, 4*d + 29972 - 196943 = l. Let z(f) = 41742*f - d*f - 6*f**2. Give z(r(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 194703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -44.2 and -7.845.\nAnswer: -52.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 25000?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16206 = -5*k + 3*i + 16271, 2*k = -i + 26 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 145, 2\/3, 5, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/t**(-1\/19))*t*t)\/t)\/t*t*t**(-1\/29))**(28\/3) assuming t is positive.\nAnswer: t**(29512\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51703739 is divided by 1615741.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1553aa (base 15) to base 3\nAnswer: 1221100011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.43. Let v = -3.1 - 39.9. Let i = v + 43.3. Put b, i, -5\/2 in increasing order.\nAnswer: -5\/2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, -2, 3 in increasing order.\nAnswer: -4, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((297\/6)\/9)\/((-4)\/22*187\/(-68))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 308 - 9549\/31. Suppose -4*o = -4 + 16. Let q be o + (2 - (3 + -2)) - -3. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40386 and 584.\nAnswer: 11792712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 164*m**2 + 2. Let u(p) = 17*p. Calculate x(u(c)).\nAnswer: 47396*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 1157940*b + 585506*b + 572434*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - k - 4)*(1 - 2 + 0) - 2*k + 1 - 1 + ((0*k + k - 3*k)*(5 + 1 - 4) + 0*k + k + 0*k + 502 - 502 + 254*k)*(4 - 3 - 21).\nAnswer: -5021*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 26*m - 42. What are the prime factors of 5 + 0 + (m - -18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 859842.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5.07. Let d = i - -0.13. Let p = -50.01 - -50. What is the biggest value in -4\/5, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -44*t**2 - 95*t - 12. Let w be u(-9). Let p = -1264 - w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2172816 by 241424.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3379\/(-93) - -13) + 22?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -21.91. Let p = s - -0.39. Let u(m) = m**2 - 10*m - 21. Let a be u(12). What is the closest to 1 in a, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46908139 rounded to 4 dps?\nAnswer: -0.4691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*v + 2 - 6 = 0, -2*t = v - 8. Suppose -2*h - 5*f - 18 = 0, t*f + 19 = -h + 4*h. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -979\/5 + 195. What is the closest to 0.1 in -2\/7, 3, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-472\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 2\/5, 1, -5085?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/5)\/(-1 + 140\/125). What is the hundreds digit of j\/(-15) - (-1 + 902\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2369*u + 3777. Let h(d) = -d + 53. Let k(c) = -4*h(c) + l(c). What is the first derivative of k(b) wrt b?\nAnswer: 2373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55856.753 rounded to the nearest 100?\nAnswer: 55900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 2, s: 1, u: 2}. What is prob of sequence ul?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbabaqgabqaaqqsa. What is prob of sequence gqq?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/15 - ((-180950)\/15)\/5 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 -430660341, -430660337, -430660331, -430660323, -430660313, -430660301, -430660287?\nAnswer: -430660271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w - 46. Let i be t(-28). Let y(n) = -117*n + i*n - 119*n. Let g(l) = 6*l**2. Determine g(y(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34931 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101306*i**3\/7 + 279276*i**2\/7 + 256632*i\/7 + 78608\/7.\nAnswer: 2*(37*i + 34)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3785? (a) 1.3 (b) -94 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, b: 1, n: 4}. Give prob of sequence tnb.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 6 = 0. Let r(h) = -8*h + 8. Let b(t) = 24*t - 24. Let c(l) = 3*b(l) + 8*r(l). Let m(d) = -7*d + 7. Calculate j*m(n) - 5*c(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 121, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -779, 2, 1, -6, -2, 0 in descending order.\nAnswer: 2, 1, 0, -2, -6, -779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j**6\/15 + 3*j**3 + 16*j. What is the second derivative of d(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let y = k - -7. Calculate the common denominator of 21\/18*(-6)\/y and -109\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471531.7 days to hours.\nAnswer: 11316760.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 divided by 1?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1*(-57 + -3). Let y be 13\/(-65) - (-22)\/10. Suppose -y*s + c = 2*s. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5, -6*t + 11984 = -t + 4*h. Suppose -5*m = 2*f - 637, 5*f + 4*m = -846 + t. What is the remainder when f is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 582*l**2 - 230*l + 2 wrt l.\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 57131765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (2\/(-2))\/((-2174997)\/(-108749) - 20)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**2 + x + 2. What is the units digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 16*m**2 + 16*m - 20. Let b be w(15). Let k(q) = -q - 3*q + 4 - 7. Let j(g) = -17*g + 31*g - 3 - 17*g. Calculate b*j(u) + 4*k(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in -5, 8, -0.434, 2\/15, 0?\nAnswer: -0.434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0\/l*l*l)**(-2\/51))**34 assuming l is positive.\nAnswer: l**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) -7 (b) -0.295 (c) -1\/5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5845 by 3.\nAnswer: 5845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 117 - 27 = 0. Let i = -9 - -22. Suppose -i*r + s*r + 40 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*y + 1 = 10, -2*b - 6 = -4*y. Suppose -21 = -2*v - b*c - 0*c, -9 = -3*v + 3*c. Put v, -1, 0 in decreasing order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:38 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 4*l + 1. What is the units digit of o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klxxxlkxxxlaxrxkllr. What is prob of sequence xx?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 32*u + 2.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*x**2 - 57019*x + 5598548.\nAnswer: -106*x - 57019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648310 and 1274.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.39 - 105.39. Let w = -104.1 - y. Put 25, -1, w in ascending order.\nAnswer: -1, w, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 269485 - 269485 + 226*q to the form j*q + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198 - 293 + 14*d + 892 - 247 to the form o + t*d and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2382 = 2*n, -25*r = -30*r + 20. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288686078 minus 36945?\nAnswer: -288723023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*j**4*p + 10*i*j**3 + 2*i - 6*j**4*p + 9*j**2 + 16*j*p wrt j.\nAnswer: 48*i*j*p + 60*i - 144*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 429*o - 2*o**3 + 852*o + 0*o**2 as k*o + x*o**2 + m*o**3 + c and give k.\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194\/(-24) - 359\/(-4308)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 15. Let h(v) = 4 - l + 1 + v. Let q(r) = 4*r**2 + 6*r + 6. Let a(n) = 9*n**2 + 13*n + 13. Let j(f) = -6*a(f) + 13*q(f). Determine h(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73604 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252974\/97 - -2608. Let z = x - -91\/291. Let d = -5.1 - -0.1. What is the closest to 1\/2 in z, d, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2713095 and 1450?\nAnswer: 27130950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 126.6. Let f = -7.5 - w. Let h = 9 - 9. Put 0.04, f, h, 0.5 in increasing order.\nAnswer: h, 0.04, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-7 - -2) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - 38*l**2 + 6*l + 149. Does 43 divide n(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 + -322.9847. What is the second smallest value in x, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-21)*3)\/(1734\/(-357)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:34 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y + 10176 - 1926 = 0. What is the highest common divisor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3068 is divided by 1514?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24299630 and 53\/17.\nAnswer: 24299630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(17) - (-3 + sqrt(34)\/sqrt(2))) + -3 + 2 + sqrt(2448) + -3)**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1316\/15 + (-54)\/(-81) + (-3)\/(-5). Calculate the greatest common factor of 1157 and t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-126)\/5) + 2\/(-10). Calculate the highest common divisor of h and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5. Let v be r(3). Let d(w) = 18*w + 3. What are the prime factors of d(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355901773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145997?\nAnswer: 83, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbcbbcbcbcbccbcccb. What is prob of picking 1 b and 1 c?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -81*m**5\/5 - 169*m - 257. Find the first derivative of b(g) wrt g.\nAnswer: -324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/22)*s)\/(s*s*s**1*s))\/(s**(-3\/5)\/((s\/(s\/(s\/(s**(-28)*s))))\/s)))**(4\/3) assuming s is positive.\nAnswer: s**(5642\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 16908*n**2 + 337068*n - 606528.\nAnswer: 3*(n - 5616)*(n - 18)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzdw. Give prob of sequence dw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c + 2*c - 15*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6286 * 10.\nAnswer: -62860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 108. Let u be v(17). Solve -u*h = 5 + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298371 is divided by 309.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*m*o**2 - 810*m - 16*o**2 - 1 wrt o?\nAnswer: -60*m*o - 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*h = -376*h - 240. Which is the smallest value? (a) 3 (b) -0.5 (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -616901 or -617274?\nAnswer: -616901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/4 - 351*a\/4 - 243 = 0.\nAnswer: -9, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 + 9*v + 3. Let m be d(9). Let f(r) = 6*r**3 + 2*r + 2*r**2 - 31*r**m - r. List the prime factors of f(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**3 - 7*o**2 - 6*o - 8. Let u(g) = g**3 - g**2 + g. Let a(n) = 4*n**3 - 4*n**2 + 2*n - 1. Let c(j) = -a(j) + 3*u(j). Give 6*c(l) + m(l).\nAnswer: 8*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5384*p - 21534. Let z be q(-4). Suppose 69\/4*c**z + 3\/4*c**3 - 147\/4*c + 75\/4 = 0. Calculate c.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*a - 978, 226 = -3*a - b + 960. Let w = a - 100. Suppose -w = -2*c - 2*c. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288267 and 14522.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7424 and 5?\nAnswer: 37120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1458 + 1465. Let z = -2\/89 + 99\/445. Which is bigger: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-13*f - 1 + 14*f + 16*f).\nAnswer: 17*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20786 and 103383?\nAnswer: 3928554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5149 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11944356 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/12 - (-300)\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63 + -1 + -4 + 3. Let c = -5 + s. Let f be 1\/(-2) + 17\/2. What is the greatest common divisor of c and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**3 + 5*p**2 + 5*p + 5. Let h be ((-1)\/3)\/(20\/(-60)). Let l(u) = u**3 + u**2 + u + 1. Determine h*n(v) - 5*l(v).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946936006 to the power of 1\/2, to the nearest integer?\nAnswer: 62825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n - 6 = 97*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 2. Let q = 3 + 0. Let y(b) = -81*b + 33*b + b**2 + 27*b - 3 + 24*b. Let w(v) = q*l(v) - 2*y(v). Let f(z) = -6*z. Calculate f(w(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*k + 7. Let b be (60\/(-7))\/(2*2\/(-56)). Calculate the greatest common divisor of b and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0065*-0.1\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/18 - (-34)\/306*90?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 53*c**2 - 95*c + 3. Let t(o) = -36*o**2 + 96*o - 2. What is -3*t(x) - 2*z(x)?\nAnswer: 2*x**2 - 98*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 - 2142174*l**2 - 71*l - 114829.\nAnswer: 18*l - 4284348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 16*s**2 + 16*s - 7. Let u be h(-15). Which is smaller: 46\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 74*n + 68*n + 65*n + 2*n**2 + 10*n**3 + 71*n - 279*n. Let r(o) = -o - 5. Let g be r(-6). Calculate the remainder when u(g) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.34141 millilitres to litres.\nAnswer: 0.00834141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332320320 to the power of 1\/2, to the nearest integer?\nAnswer: 18230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 45.3\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4601, -9194, -13813, -18458?\nAnswer: -23129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146808 is divided by 146794?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163153603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**3 - 4*i**2. Let j(c) = 6*c**3 + 2*c**2. Calculate 5*j(n) + 2*q(n).\nAnswer: 4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 421875 and 3861?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = 1. Let t be -3*((-2382)\/(-9) + n). What is t rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 94956 = 4*v - 38086, -2*v - 28429 = -q. Let y = v - -21546. Suppose -y = -2*t - 4*c, 5*t + 2*c = 18218 + 131. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (2 - -2))\/1. Suppose -2*y + 5*p + 11 + 5 = 0, -5*p = 0. Solve 5*u - y + c = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-14)*(-11417)\/(-466). Calculate the highest common factor of 17010 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 113*i - 105*i. Solve 3 = i*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 10951?\nAnswer: 10951.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s + 49. Let r be x(5). Which is greater: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 35 + 13 - 30.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2450\/306 + (-178)\/1513. Let b = 0.35 + 1.65. Sort b, o, 0.5.\nAnswer: 0.5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/52 + 4\/13. Let p be 533\/(-492) + (-6)\/(-8). Which is the nearest to w? (a) 4 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5208902517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 3256?\nAnswer: -3255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 11*s + 9. Let g(p) = 2*p**2 - 2*p - 4. Let i(m) = 3*g(m) + w(m). Let k = 9 + -6. Calculate i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44*(-80)\/224)\/((16\/56)\/(-2)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*x - 9, t = -0*t + x + 3. Let i be 6 + -15 - (17 - 28). Solve -r - i*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 4)**2 + 1 + -4 + 3*(2 + sqrt(3)) + (sqrt(48) + -3)**2.\nAnswer: -37*sqrt(3) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5627641 (base 8) to base 5.\nAnswer: -342111041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1617663084 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a*g**2 - 55*a*g + 424615*a - 22*g**2 + 2*g wrt g?\nAnswer: -12*a*g - 55*a - 44*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 729*k**3 + 1 + 3 + 724*k**3 + 0*k - 1 - 3*k as s*k + i*k**3 + l + w*k**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3630) - sqrt(3630) - ((sqrt(30) - (-1*sqrt(30) - sqrt(30)))*4 - sqrt(30)))\/((sqrt(1210) - 3*sqrt(1210)) + sqrt(10)*2*2))**2.\nAnswer: 121\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-2 + 1)\/12). Let n(l) = -4. Let z(q) be the second derivative of 0 - 3\/2*q**2 + 1\/6*q**3 - 3*q. Give a*z(w) - 3*n(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 423161 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 120 + 22)*(-2 - 4 + 3)*(10 - 7 + 6)*(-r**2 - 3*r + 3*r) to the form x*r**2 + k + n*r and give x.\nAnswer: -2754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93975 and 52805?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*sqrt(1872)) + 2 + sqrt(13)*-2 - (sqrt(13) + -2)*-3*-2.\nAnswer: 14 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3013 divided by 3\nAnswer: -3013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2\/9, 0.1, 0, -1\/3 in decreasing order.\nAnswer: 0.1, 0, -2\/9, -1\/3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l + 4. Let c(q) be the first derivative of 3*q**2 - 3*q + 6. Give 4*c(h) + 3*g(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174998052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 4544204?\nAnswer: 4544213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - 131. Suppose 14*d - 4*d = -n. Let o = 10 - 14. Sort o, 2, d, 4.\nAnswer: o, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kubrbbuuubxbuuu. What is prob of sequence kr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(105)\/(sqrt(7) - (-2*sqrt(7) + sqrt(7))))\/(sqrt(3) - sqrt(48)))**2.\nAnswer: sqrt(5) + 329\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 23*f. Let t(w) = 5*w**2. Calculate x(t(d)).\nAnswer: -25*d**4 + 115*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3*u**2 + 353*k**3 + 9*k**2*u**2 - 6*u**2 wrt u.\nAnswer: 4*k**3*u + 18*k**2*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*((-44)\/(-24))\/11.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 + i + 1. Suppose -3 = 2*s - 13. Suppose -27 + 22 = s*v. Determine w(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*x = 12, -5 = -2*i + 5*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38277 - -37603.54. Let s = o + 668. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 56 - 26)*(6*o + 6 - 6).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13993 divided by -6\nAnswer: -13993\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27. Let y be (12 - 5) + 0 + -3. Let a(h) = -h - 26. Let p(w) = y*z(w) - 5*a(w). What is the units digit of p(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1058899 and 190949.\nAnswer: 11647889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94745\/702 - -3655\/27. Find the common denominator of n and -41\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 + 0*z**2 - 11*z**2)*(221*z - 223*z - 66*z**2 - 91*z**2).\nAnswer: 785*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6)*-2 - (-10)\/1. Suppose -2*u + 4*j = -196, 4*u = y*u - 3*j - 497. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) -12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k + 9. Let d(a) = 9*a + 4. Let r(z) = -9*d(z) + 4*h(z). Let u(v) = -37*v - 32. Let n(l) = -102*l - 88. Let f(t) = 4*n(t) - 11*u(t). Give r(f(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12212 (base 4) to base 7\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from nnnmnmyymnnnyy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33165, 62853, 92539, 122223, 151905?\nAnswer: 181585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023 less than -1853.06?\nAnswer: -1853.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - (-5 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 15202935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let r = -1438663\/70 + 20551. Let y = 19\/10 + r. Put 3, g, y in increasing order.\nAnswer: g, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 27*v + 8. Determine u(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {q: 3, o: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -442?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -13)*1\/3. Let j = 40587\/1412 - -2\/353. Let q = 1051\/36 - j. Which is the nearest to -1? (a) -2 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-135) + 18734\/1710\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34176 plus 2?\nAnswer: 0.65824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 4318498\nAnswer: -17273992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 1376, 3120, 5552, 8666, 12456, 16916?\nAnswer: 22040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227710 is divided by 18975?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**2. Let v be j(1). Let q = 62 + -24. Let t = 68 - q. What is the highest common factor of t and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**4 + 2*j**4 - 2*j**4 + (-j**2 - 2*j**2 + j**2)*(-j**2 + j**2 - 4*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 172*k**2 + 2 + 4*k**3 - 9*k - 2*k**3 - 111*k**2 + 0*k**3 to y + h*k + c*k**3 + g*k**2 and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 936885529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 337, 334, 331, 328, 325?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**4\/(j**15*j))**(4\/39))**4)**(-1\/2) assuming j is positive.\nAnswer: j**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(-24)\/(q**(-1\/10)*q*q\/(q*q**(-2\/7))) assuming q is positive.\nAnswer: q**(-83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -357\/5. Let q = 82 + -86. Let k = 0.8 - 0.9. Which is the smallest value? (a) s (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zbzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.0708? (a) 7 (b) 2\/1113 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-9)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbsbsssbsbbbsbbssb. What is prob of picking 1 s and 1 b?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 50. Let k be u - 8 - (-1 - 105). Suppose 0 = 7*t - 9*t + k. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 2, 0.33, 1\/10, 1\/5, -23.3?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 4, 25, 60, 115, 196, 309?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109291415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -57060 divided by 9510\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 2, p: 12, e: 2, w: 1}. What is prob of picking 1 w and 2 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54443656*t**4 + 1099*t + 1552 wrt t.\nAnswer: -653323872*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-43 - -13) + 7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(-2)\/1. Let h(r) = 2 + r - 2*r - p - 3. Determine h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.12 - 8.42. Which is the fourth smallest value? (a) -0.1 (b) -9 (c) o (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-39) - (-472)\/26. Suppose 0 = 6*w - 0*w - r. Solve w*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/14)\/(2\/(-8)). Let f be l\/(-5) + 26\/10. Let y = 7 - f. Solve -2*r = -3*r + y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 18\/(-10))\/1. Is -4 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -22*s**3 - 4*s**2 + 553*s + 10. Let w(t) = -27*t**3 - 5*t**2 + 553*t + 12. What is 5*c(r) - 4*w(r)?\nAnswer: -2*r**3 + 553*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2300342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {v: 2, e: 2, l: 3, w: 5, d: 2, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*r**3 + 75*r**3 - 36*r**3)*(0*r + 3*r - 2*r) + 9*r**4 - 2*r**4 + 9*r**4.\nAnswer: 26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -30. Suppose y - 42 = -5*f - u, -10 = -f - 2*u. Factor 2*h**4 + 0*h**2 + 24*h + 11*h**2 + 12*h**3 + 18*h**2 + f - 3*h**2.\nAnswer: 2*(h + 1)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -36. Let k(q) = -9*q**2 + 60*q + 7. What is the remainder when k(2) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - t - 3 = 0, -2*l + 17*t + 8 = 21*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = q + 24, b - 3*q = 6. Let w(m) = -7*m**2 + 2 - 3*m**3 + 7*m + 2*m**3 + 2*m**3. What is the units digit of w(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, t: 1, k: 1, d: 1}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8*p*(p\/(p*p**(-7)))\/p*(p\/(p**3*p*p))**24 assuming p is positive.\nAnswer: p**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1532 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - 0.34. Which is the third smallest value? (a) m (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 452037*f + 6328525. Determine g(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.91 - -13.29. Round b to one decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*m + 113*m + 112*m - 1 + 671*m**2 - 340*m to g + x*m**2 + k*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 2*s + 3. Let g(o) = 5*o**2 - 5*o + 7. Let u(a) = 4*g(a) - 9*w(a). Let h be -1 - -4 - 3\/3. Does 5 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -40 + 11*d + 6*d + 9*d - 20*d. What are the prime factors of s(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(209)*-1 + sqrt(209) - sqrt(209))\/(3*sqrt(704)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198*z**3 - 4489 + 4489 - 174*z**3)*(0 + 3*z + 0)*(-1 + 1 - 2) as c*z + d*z**2 + j*z**3 + p*z**4 + s and give p.\nAnswer: 2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -38*t + 1. Let g(b) = 1. Let m be (0 - -6)*(-1)\/3. Let h(u) = m*g(u) - d(u). Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3140 = 5*u, 2*u - 203 - 1034 = 5*f. Let k = -612 + u. Calculate the remainder when 398 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830 = 294*o - 2594 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -51*-50.24\nAnswer: 2562.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2579514 and -151\/34639188?\nAnswer: 242474316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 43. Solve 5*v - r*m = 2*v + 9, m - 1 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -44. Let k = s + 5. Solve -n - 5 = -i + 2*n, -2*i = -k*n - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/(-9) - (4947\/(-153) + 42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693274 is divided by 173312.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91816.23l?\nAnswer: 91816230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 15) to base 12\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 6*n - 13. Let x(a) = a + 4. Let f be x(0). Suppose 0 = -3*b, 0*b + b + 216 = f*g. Calculate the remainder when g is divided by k(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 1417, 1385, 1331, 1249, 1133?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/73605 and 12\/4588045?\nAnswer: 13764135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-668 + 668 - 16*s)*(-13*s - 35*s + 17*s + s - 3*s + 3*s + (-4 - 1 + 3)*(0*s + s + s)) to the form x + i*s + j*s**2 and give j.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-21) - 2\/7. Suppose 4*l - m*d - 24 = 0, -3*l - 2*d + 8 = -10. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 3 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/(-40 + 28418\/728).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.913741 decades?\nAnswer: 0.0913741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -96.858. Let z = 0.17 - r. What is z rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - 24)*(-1)\/22. Which is greater: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s - 29660 + 29660 in the form r*s + k and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*n + 6*t - t, -4*n + 39 = -3*t. Suppose -n = u - 4*l, 28*l - 12 = 24*l. Solve -q + 5*y + 19 = 0, 1 = 4*q + 4*y - u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341747299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3628*x + 981*x - 2967*x to a*x + m and give a.\nAnswer: -5614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175087*f - 72*f**2 + 4 + 175087*f to b*f + m*f**2 + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 8*n**2 + 21*n - 16. Let s(b) = 19*b**3 - 48*b**2 + 126*b - 95. Suppose 0 = -25*c + 20*c - 195. Let u(v) = c*f(v) + 6*s(v). Factor u(o).\nAnswer: -3*(o - 3)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**8\/672 - p**6\/120 + p**4\/48 - 8*p**2. Factor f(r).\nAnswer: r*(r - 1)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 - 72 = 0. Let n be 8\/70*y\/14. What is the nearest to 0 in 6\/11, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/(3195\/47925)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(3\/31))\/r*r**(3\/2)\/r assuming r is positive.\nAnswer: r**(99\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20708*f + 1895863 = -237061 for f.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33961 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 37*u**6\/5 - u**3\/6 - 87*u**2\/2 + 374*u. Find the second derivative of w(c) wrt c.\nAnswer: 2664*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w**2. Let a(f) = f - 2. Let s(x) be the second derivative of 1\/2*x**2 + 5*x + 0. Let k(h) = -2*a(h) - 4*s(h). Calculate c(k(l)).\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -956 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-84)\/35*-5 + 4. Let q = 29 - 15. Is p bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, -43 in decreasing order.\nAnswer: 4, 1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18035912, -18035892, -18035872?\nAnswer: -18035852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257451038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 41, 7\/6, 9316, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5454000.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - -32) + 59 + -19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 622871.6 millilitres in litres?\nAnswer: 622.8716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/775 + -11646\/5425. Let c = d - -172\/77. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + 5 - (101 + -79)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 3, -821, 0, -6 in ascending order.\nAnswer: -821, -6, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.36 in -3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let w be (20\/8 + -4)*-14. Let g be 7\/w - (-4)\/(-18). Which is the nearest to -1\/4? (a) g (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -29 in increasing order.\nAnswer: -29, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**0))**(10\/9)\/(q**1)**(-25\/3))\/((q\/(q*q**(-1)*q)*q)**(-5\/4))**(-18) assuming q is positive.\nAnswer: q**(-275\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 != -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 29 + 8)*((2 - 6 + 2)*(k**3 + 0*k**3 - 3*k**3) + 0*k + 0*k - k**3).\nAnswer: 90*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 57*t + 30*t - 2112. Solve -4*p + 8 = 2*r, -p + r + 4*r = -t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 999957.1 weeks?\nAnswer: 604774054080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34002 by -6.\nAnswer: -5667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68041942 take away 0.27?\nAnswer: 68041941.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 74, 76, 78, 80, 82, 84?\n\"Answer: 2*k + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 1655336*k**4 - 28139680*k**3 + 51313368*k**2 - 24829020*k = 0 for k.\nAnswer: 0, 1, 15, 413817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6 - 8 + 0 - 57*r. Let n(b) = b**2. Determine z(n(w)).\nAnswer: -57*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(-6)\/20 + 2. Let o = -58.2 - -58. Let i = -3 - -2.9. What is the closest to o in -2\/3, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/(-8) + 2\/(-32)*-4. Solve -o = -s - 5*w, -2*w + 10 = -5*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3933806\/545 - -7218. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + 130. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -517 + 517.0476. Let j = t + 0.0999. What is j rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -41*m**2 + 3*m - 1. Let z(w) = -42*w**2 + 4*w + 2. What is 4*f(o) - 3*z(o)?\nAnswer: -38*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-10) + (-6)\/((-90)\/813)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*g - 19 = 0, 7*w - 3*w - 2*g = 14. Suppose 0 = d + d + 5*a - w, 0 = a. Suppose 2 + 4 = d*h. Solve 0 = q - 6*q + h*x - 20, -5*x = -4*q - 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782 - 0.21?\nAnswer: 1781.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 10, p: 2, z: 1}. What is prob of picking 1 z and 2 p?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36135 - -336135. Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 7) to base 16\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 387. Let m = a + 650. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 126, 189?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42588.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 + 1. Suppose 0 = 85*w - 94*w + 18. Calculate the remainder when (2492\/(-42))\/(w\/(-3)) is divided by z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z**3 + 12*z**2 - 19*z**2 + 180*z**3 + 7*z**2.\nAnswer: 234*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 4*n - 3. Let y be q(3). Suppose 4*l - 468 = 4*h - y*h, 0 = 2*l - 4*h - 224. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u + 12 = -65*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Let k = q + 5.4. Let m = 32 + -133\/4. Put k, m, 1\/3 in ascending order.\nAnswer: m, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*g - 41 = 0, 2*b = -3*b - 3*g + 65. Let l(o) = 4 - o + 3 + 9 + 6. Calculate the remainder when b is divided by l(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvbmfffffbmzmbb. What is prob of picking 1 z and 1 b?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -56, -58, -60, -62, -64?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 730 + -343. Suppose 3*o - m + 18 = 0. Let l = -59 + o. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -94. Suppose 2*d = -v*u + 24, -8*u + 10*u - 2*d = 0. Does 9 divide (4\/8 + 2\/u)*83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3482 in 192\/191, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 553 + -1?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y + 2. Let s(d) = 42*d + 1. Determine -2*f(n) + 3*s(n).\nAnswer: 38*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 942702 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.7 + 2.2. Let p = t - -14. Which is the closest to 0.1? (a) p (b) -0.05 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2.07 (b) 1085 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h + 2. Let w be s(8). What is the second derivative of d**5 + d**5 - w*d - 2*d**5 + d**5 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnznnpzn. What is prob of sequence pzz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 5907120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 15. Suppose z*l - 21 = p - 4*p, p = 5*l - 23. Solve 0 = p*i - 3 + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a + 4. Let b(p) = 5*p**2 - 6*p - 22. Let i(n) = 2*b(n) + 11*x(n). Let q(k) = -k. Let w(g) = -g - 2. Let j be w(-5). What is j*q(y) - i(y)?\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 - 5145*g**3 + 25*g**2 + 807*g**3 + 6 - 2 - 7*g - 3 wrt g?\nAnswer: -24*g - 26028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37788350 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/360 - t**5\/15 + t**4\/24 - 16*t**3\/3 + t**2 - 3*t. Let f(i) be the first derivative of z(i). What is f(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13)\/(f\/f**17))\/(f*f**7*f)**(-17\/3) assuming f is positive.\nAnswer: f**(869\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h - 60 = 0. Suppose 0 = -5*s + 4*b + 9, -5*s - 5*b + 45 = -0*s. Let u = h + s. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1300*h + 794*h + 496*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4411 is divided by 51.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 0.2, -0.03, 1, -2\/7, 19\/126?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 8*s**2 + 2*s - 4. Let u be n(4). Solve g = -3*g - t + u, -16 = g - 4*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-18))\/1*(18\/(-15))\/2?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m + 1487. Let h(k) = 14*k + 1517. Calculate -3*h(i) + 4*t(i).\nAnswer: 6*i + 1397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 + 8*w + 7. Determine k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/3)\/y)\/y**(-3\/8))\/(y**(2\/5)*y*(y*y**(-1\/4)*y)\/y*y) assuming y is positive.\nAnswer: y**(-253\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 + 435*j + 432*j - 866*j - j**4 + 2*j**3 in the form i*j + a*j**2 + m + n*j**4 + t*j**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than 970\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 26. Let c be ((-14)\/21)\/(1\/t). Let g(f) = f**3 + 5*f**2 - 8*f - 7. Is g(c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*2*5 - sqrt(1134))\/(sqrt(175)*-2 - sqrt(252)).\nAnswer: -81*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8303698283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (21\/27)\/((-18837)\/(-1794))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -40\/1313 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:55 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:08 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120 - 114) + 5*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109052457 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 2. Let a(t) = 2*t + 1. What is -8*a(b) + 5*p(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -85. Suppose -13*b + 4057 + 14130 = a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128093992*k**6 - 131*k**2 - 12549 wrt k?\nAnswer: 15371279040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27767027, -27767047, -27767087, -27767153, -27767251, -27767387, -27767567?\nAnswer: -27767797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocii when four letters picked without replacement from {k: 2, i: 13, c: 3, o: 1}?\nAnswer: 13\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69\/4 - -1991\/108. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/8*7\/168*-4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41971022, 41971021, 41971020, 41971019, 41971018?\n\"Answer: -d + 41971023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -40.56023.\nAnswer: -2.4336138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 2*t - 4, 727813*t = 6*o + 727816*t + 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*y - 2, 4*p - 24 = -2*y - 2*y. Let d be (2 - y)*2\/(-4). Suppose -4*o + 1737363 + 662637 = d. What is o rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -573\/88133 + 290555427\/119067683. Let z be 3 + -2 - (-192)\/(-193). Let f = v - z. What is the common denominator of f and 8\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3066 or 3067?\nAnswer: 3067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17 + 1\/(-12)*-7404. What is the greatest common factor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-6) + 2\/6. Suppose 19 = x*o - 5. Let m = 8087 - 8064. Calculate the least common multiple of m and o.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + -15. Let w = m + 30. Suppose 10*d = 11*d - w. Put d, -3, -2 in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprnpuup. Give prob of picking 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 67204844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(369\/1025 - (-3)\/(-8)). Let s be (-8)\/(-10) - 520\/i. Which is the biggest value? (a) 11 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 27812\/1653?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 2292*u**3 - 308697*u**2 + 3114342*u = 0.\nAnswer: -882, 0, 11, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 2*k**6\/3 + 5*k**2\/2 + 3. Find the second derivative of b(n) wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*b = 4*y + 21, 13 = -3*y + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5*4\/(-10))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**2 + 0*n + 0*n - 8*n**2. Let t(i) = -5*i**2. Determine t(g(u)).\nAnswer: -80*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1379 or 4135\/3?\nAnswer: 4135\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.2. Let o = 1902 - 1901.8. Which is the closest to -3? (a) o (b) r (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (5 + -7 - ((-211 - -202) + 2 + 0))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n = 15, -2*c + 10 = 5*n - 7*n. Suppose -k - c*r + 20 = 0, 3*r - 1 = -13. What is the remainder when 157 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171877*u**2 + u + 19 + 16*u**3 - 171877*u**2 to x*u + a*u**3 + z + p*u**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, -1\/4, -3, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -35. Let p = 1214 - -1240. Is l\/(-4) + p\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 9*t - 20. Let k = 12 - 23. Let h be a(k). What is the closest to 1 in -0.5, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50240 and 6280?\nAnswer: 50240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/551 (b) -22 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(12*n**2 - 12*n**2 - 8*n**3) - n**3 - n + n + (6*n**3 - 3*n**3 + 0*n**3)*(0 + 0 + 1).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065827.8 rounded to the nearest 1000?\nAnswer: -2066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3 (c) 0.14 (d) -11\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7613 = 152746. Let h = q - -1159115\/8. Let v = h - -961\/4. Calculate the common denominator of -15\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30015.96 litres?\nAnswer: 30015960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14069 * -0.4.\nAnswer: -5627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 26 = j, -83*x - 168 = -4*j - 79*x. What is the least common multiple of j and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 416 - 398. Suppose 10 = 3*n - 8. Calculate the smallest common multiple of n and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 + -9 + 2) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**4 + 3*i**2 - i - 2. Let o(t) = 3439*t**4 - 18*t**2 + 536*t + 12. Let z(s) = -6*a(s) - o(s). What is the second derivative of z(k) wrt k?\nAnswer: -41196*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + ((sqrt(160)*-2 - sqrt(160)) + sqrt(160) - sqrt(160)) + (sqrt(40)*2)\/sqrt(4))\/(3*-2*sqrt(40)\/sqrt(32)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)**(-20\/9))**(-38)\/((a\/(a**4*a*a))**(23\/5))**(-20) assuming a is positive.\nAnswer: a**(-1100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 5\/12*n**4 + 1\/60*n**5 + 2*n**2 + 0 + 2\/3*n**3 - 5*n. Give k(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19016, 38016, 57014, 76010, 95004, 113996, 132986?\nAnswer: 151974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 7:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2 (c) 3 (d) 1\/5 (e) 7\/9 (f) -1.447\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/7 - 1\/21. Let o = -0.3 - -0.5. What is the second biggest value in -3, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 10 - ((-113 - -9) + 2).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48815197332782 + 0.\nAnswer: 48815197332782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.369 and 748?\nAnswer: 1772.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*c = 24, 0 = 4*y + 2*c + 37 - 79. Solve -s + 55 = y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -402 (b) -3 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**2 + 4*f + 1. Let d(m) = m + 2. Let s be (1\/1)\/(1\/(-3)). What is s*j(r) + 7*d(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63.2 + 63. Which is the nearest to 2\/7? (a) x (b) -0.5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27800.0908 to the nearest one hundred.\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13798 or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051, -1052, -1053, -1054, -1055?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u + 4*x - 9, x - 9 = -3*u. Let h = u - -4. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = a + 15, 3199*a + 15 = 2*v + 3200*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*i**3*n**3 - 7*i**3*n**2 + 1277*i**3 - 147303*i**2*n**3 - i**2*n**2 - 2*i*n + 7*n**3 - 41*n**2 wrt n.\nAnswer: 186*i**3 - 883818*i**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 1342*q - 12. Let h(b) = -3*b**2 - 4028*b + 40. Give -10*g(u) - 3*h(u).\nAnswer: -u**2 - 1336*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, n: 4, m: 1, l: 2, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*b = 694, -7*b + 870 = 5*y - 2*b. Suppose -24 = 166*v - y*v. Solve -c = -c - v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 414066?\nAnswer: 2\/207033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g*g**(1\/5)\/g)\/(g*g\/g**(1\/2))**48)**(-10) assuming g is positive.\nAnswer: g**758","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2691 + 2688. What is the closest to p in -5, 1\/5, 1\/6, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 2*p - 2*p**2 + (10 - 5 + 5)*(3 - p**2 - 3) as z*p**2 + t + d*p and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 998 divide 747126749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - -17) + -7 + -49?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-77))\/(4 + -2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**4 + q**2 + 1. Let o(u) = -223*u**4 - 2*u**3 + 106*u**2 + 6. Let j(v) = 4*a(v) - o(v). What is the third derivative of j(m) wrt m?\nAnswer: 5256*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3173, 7143, 11115, 15089?\nAnswer: 19065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 562 - 550. Suppose o - 381 = -2*o. Suppose o = 5*x - 2*q - 83, -3*x = -2*q - 126. Calculate the remainder when x is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30518292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 - 427 + 5*p**3 + p**3 - 2*p**3.\nAnswer: 4*p**3 - 618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -18. Suppose 0 = 3*n - b + f*b - 47, n + b - 14 = 0. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10779, 10857, 10939, 11025?\n\"Answer: 2*s**2 + 72*s + 10705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (76 - 57) + 1 + -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and -22\/813.\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 6 (c) 16174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -116, -257, -454, -707?\n\"Answer: -28*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -12. Let z = 1 - f. Suppose 2*r + 25 = z*r + l, 0 = -4*l + 4. What is the lowest common multiple of r and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(23232\/(-44)))\/(2\/(-984))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31742083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 1, l: 2, j: 4}. What is prob of sequence lr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/9 (c) 4\/5 (d) 0.4 (e) 56\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 223, 248, 273, 298?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -2 (c) 3\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 300 = 3*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 10*f + 66 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 3\/2 (c) 0.236 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + h**2 - 4*h**2 + (2 - 2 + 2)*(-2*h**2 + 5*h**2 + 6*h**2) + (203 - 203 - 8*h)*(-4*h + 7*h - h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 628.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + 1 - sqrt(180))**2 - (1 + 1*sqrt(5) - -2*(sqrt(20)\/sqrt(4))**2).\nAnswer: -11 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - 47 + 47)*(3 + 2 + 34)*(2 + 1 - 1).\nAnswer: -546*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -21428800\nAnswer: -8571520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*l**2 + 66*l**2 + 62*l**2 + 54*l**2 + 59*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -57*v + 345. Let m be j(6). Solve -a = -2*s - 5, -2*a = -m*s - 8 + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 18*g**3 + 4 - 7*g**2 - 9*g**3 + 2*g + 7. Is p(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 22 = 38*m - 37*m, -2*m - 31 = -3*k for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/(-36)*-60)\/(6\/(-8)). Suppose 5*w - 525 = -3*x - 2*x, 0 = -w - 5*x + 105. What is the highest common divisor of w and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j - 55. Let k(f) = 14*f - 101. Give -13*d(h) + 6*k(h).\nAnswer: 6*h + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c - 4. Suppose -c*v + 7*v = 132. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -416 * -4.1.\nAnswer: 1705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -1 - (-4 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from lupuulkpulkpllkllk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 7*m**3 + 0*m**3 + (2*m**2 + 10*m**2 - 7*m**2)*(59*m + 79*m - 82*m).\nAnswer: 286*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -600 + 600. Which is smaller: -4\/21 or l?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6804.54 decades?\nAnswer: 680.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-10 + -11 + 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 2, j: 1, i: 8, h: 6}. Give prob of picking 1 n, 1 h, and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3. Let n = 5 - 1. Suppose 0 = -3*m - o + 5*o - 25, -n*m = o + 8. Let j be 0*(m\/(-6) - 0). What is s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 28 + 5366 = 0. Is (g\/(-3))\/((-2)\/(-9)*-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-21)*-3*2\/(14\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/((-6)\/101). Let j = p + -2129\/84. Do 1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 23*l = 4*p + 6, 5*p - 5*l = -15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11612432?\nAnswer: 2, 13, 55829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13782?\nAnswer: 2, 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 15 - 15) + 2 + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkd when four letters picked without replacement from dggzugzkguzzdzdd.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -413*o + 10. Let m(u) = 39236*u - 952. Give -476*h(r) - 5*m(r).\nAnswer: 408*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - w + 30 = 0. List the prime factors of ((-232)\/32)\/(w\/(-228)).\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 13*v = 16*v - 8, -3*f + 3*v = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*x + 402*x = w - 23, -w = x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 87*q**2 + 2*q - 49*q + 7 + 9*q. Let n(s) = -436*s**2 + 190*s - 34. Let k(i) = -28*a(i) - 6*n(i). Factor k(j).\nAnswer: 4*(5*j - 1)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*n**4*r + 2*n**4 - 478*n**2*r + 6*r - 532807 with respect to n.\nAnswer: -444*n**3*r + 8*n**3 - 956*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 10*d**2 + 17*d + 13. Let y(q) = -5*q**3 - 20*q**2 + 32*q + 25. Let r(o) = 7*s(o) - 4*y(o). What is r(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254 + -246. Calculate the remainder when (302\/y)\/(44\/352) is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/324 and 139\/374814.\nAnswer: 2248884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 = 986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from 1439635.017.\nAnswer: 1439634.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -42, 2 in ascending order.\nAnswer: -42, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 38 - 38)*(-391 - 439 - 506 + n + 1093) in the form v + l*n + r*n**2 and give l.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3663 * 0.1\nAnswer: 0.03663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + -3 + (-29 + 4 - -4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 41. Let y = -1.5 + 1.5. Let w = y + 0.4. Which is the second biggest value? (a) v (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, -1, 0.1, 280?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -111 - 6a?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.4 (b) 2\/67 (c) 2\/11 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:47 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*r - 4 + 2, -r = -2. Suppose 0*h = -u*h + 15. Suppose 4*v + 3*z = v + 12, 4 = 5*v - h*z. Solve 5*j + 0*j + m - v = 0, 0 = -3*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.1657.\nAnswer: -0.4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/7 + 10482842*a\/7 - 41931336\/7 = 0.\nAnswer: 4, 5241417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3960, 1, -223.\nAnswer: -223, 1, 3960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -4\/5, -51, 3.\nAnswer: -51, -16, -4\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 26 - 62. Let z be 15\/35 - (-4374)\/(-14). What is the tens digit of (-2)\/x*z\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 45*k**2 - 24*k - 25*k**2 + 12*k + 13*k + 13*k**2.\nAnswer: -62*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(121)*4)\/(sqrt(22)\/sqrt(98)))**2 - (-1 + sqrt(5324) - -1*(sqrt(44) + -1))*-4.\nAnswer: 96*sqrt(11) + 8616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -613465\/121 - -5070. Do -1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12092111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 6413 - 7271. List the prime factors of f.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2 - 6*l + 14. Is 16 a factor of w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*x - 75*x + 131*x)*(4 - 1 - 1)*(0*x + x - 5*x + (1 + 0 - 3)*(4*x + 3*x - 5*x)).\nAnswer: 624*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5709 is divided by 1003.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b - 357 = 14*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8726 or -148330\/17?\nAnswer: -8726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 46.9875 (c) 5 (d) 2\/3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 + -106. Let o = 31 - i. Which is the closest to -1? (a) -5 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327*a**4 - 141*a.\nAnswer: -3924*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 8124770*h**3 + 3299968711065*h**2 - 508339705918660*h + 19572933466444820.\nAnswer: 5*(h - 77)**2*(h + 812554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -164 + 9?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 + 7. Suppose 2*x - 2*z + 36 = 0, -2*x - 2*x - 5*z - 99 = 0. Let q(a) = -7 + 9 + 2761306*a**3 - 2761303*a**3. Determine x*q(d) + 6*j(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 23 = -5*t. Let b be (21\/t)\/(0 + -3). Suppose 0 = -5*q + 3 - 8. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - 141. Let z be 6*(o\/(-96) + 2\/(-6)). Solve -4*g - 5*a - 5 = -z*g, -g - 24 = 4*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*s - 246*s = 510. Let i(w) = w**2 + 13*w + 24. Give i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14208\/1776*1\/(-728)?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 54. Solve v + 3 = -3*q, 4*q - u = -3*v - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**5 + 5*n**5 + 7*n**5)*(-5 + 5 - 1) - 4*n**2 + 4*n**2 + 5*n**5 + (-2*n + 0*n + 0*n)*(0 - n**4 + 0) + n**4 + 6*n**5 - n**4.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24195829845589\/708038520 - -1\/29501605. Let g = o - -34168. Calculate the common denominator of g and 113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - -104) + 5 + -21 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 10*r**2 + 7*r - 24. What is c(10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2912 - 2912 + q**2 - 26*q**3.\nAnswer: -26*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -34*a + 2304. Calculate l(66).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2055132.\nAnswer: 2, 3, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**32\/(s*s\/(s**(-17)*s)) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7486995071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 12. Determine y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2213 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 2*v. Let x = -28 + 28. Suppose 0 = -3*d - x*d + 30. Solve 7*l + d = 2*l + 3*f, -5*l = 4*f + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 11001111?\nAnswer: -11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0130404 centuries?\nAnswer: 0.130404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -21, -48, -85, -132?\n\"Answer: -5*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + y - 2. What is the lowest common multiple of 6 and g(-3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -32*m + 2238, 4*m - 150*i + 143*i - 273 = 0 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2030312 bigger than -1\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 125*l + 626. Let v be b(-5). Let f(y) be the first derivative of y**3 - 3*y**2\/2 - 9*y - 96. Let o(d) = d**2 - d - 1. Calculate v*f(r) - 4*o(r).\nAnswer: -r**2 + r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvgvgvklvvrlk. Give prob of sequence vv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x + 243. What is the tens digit of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -47. Solve -8*z + 12*z = -u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = -0*p. Suppose 2*r + p = 10. Solve 6 = r*o + 4*q + 2, -o + 3*q = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 8) in base 12?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 7 - 3*z + z + (3 - 3 - 2*z)*(5 - 1 + 0) - 2*z + 4 - 4.\nAnswer: -12*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/((-15)\/(-50)). What is the greatest common divisor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -30048.01539.\nAnswer: -30048.01539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 5*d - 6. Let u = -51 + 48. Let b be y(u). Solve 3*x + 3*i + b = 0, -x - 4*i = -i + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 838150500*m + 967420047 wrt m.\nAnswer: 838150500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*m + 3759 = -527*m. Let h = m + 945. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - 3*p**4 - 3*p**4 + (-2*p + 3*p + p)*(0*p + 3*p - p)*(11 - 2*p**2 + p**2 - 17).\nAnswer: -12*p**4 - 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*(38 + (-4017)\/78).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 817138 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4 - 8, 1249 = 3*v + 5*x. Suppose 0 = -2*f - 4*s + 282, -4*s = -4*f + f + v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**3 - 9*n**2 - 20*n - 17. What is c(-6)?\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 + 4*y. What is n(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5194 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:22 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2 + 2*k - k**2 + 2*k + 4 + 2*k**2. Let d be l(-4). Let y(q) = -2*q**2 + q**2 + 1 + q**d - 4*q + q**2. Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10164 + -10152.115. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2128 and 4816?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/6 + 413*l**2\/6 - 4280*l\/3 + 21650\/3 = 0.\nAnswer: -433, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.2 - 13.8. Let c = t - 10. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 10*j. Let y be w(-11). Let v(p) = -p**2 + 14*p - 8. Let h be v(y). Suppose -89 + h = -2*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*q**3 - 19760*q**2 - q - 382017915?\nAnswer: -60*q**2 - 39520*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724279873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*x - 12316 = -394*x - 23*x + 26849 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.81 - -2.81. Let r = -10\/7 + 87\/56. Which is the closest to t? (a) -6 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 28. Let m(g) = 192*g**3 - g**2 + g - 1. Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:35 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*d + 5 - 17, -d - 3*d + 3*f = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) 3 (d) 0.5 (e) 21141 (f) 3\/5 (g) 19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/2, -2\/23, 0.1, 1 in decreasing order.\nAnswer: 3\/2, 1, 0.1, -2\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 105056.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-112 - (-30 + 16))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtttrrrrrtrrrrt. Give prob of picking 4 r.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - (-6 + (-7 - -5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/(-2) - (6 - (4 - -1)). Suppose c - 39 = 5*z, c + q = 4*c + 4*z. Let l(g) = -g + 12. Let b be l(c). Put -1, b, 2, -3 in descending order.\nAnswer: 2, -1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 >= -0.136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-46)\/230)\/(3\/10) and 93\/284.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*s + 7*s**3 - 2*s**3 + 32*s as w + j*s**2 + g*s**3 + i*s and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2410 or -2412?\nAnswer: -2410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124727, -249261, -373793, -498323?\nAnswer: -622851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 4110*i + 4105 = 0. Calculate i.\nAnswer: 1, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 415013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(640))\/(sqrt(15)\/sqrt(48)).\nAnswer: 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14387454047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*j - 3999*j - 2236*j + 1545*j.\nAnswer: -5415*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 3*h - 4. Let w(c) = 2*c - 46. Let v be w(21). Let n(p) = p**2 - 2*p - 3. Let y be 2*-6*(-2)\/8. Calculate v*n(u) + y*o(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5261369037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 2) + 363 + -400\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from cceccccccceeccceece?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - (5 + -10) - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, l: 2, o: 2, f: 4, p: 1, i: 6}. What is prob of picking 1 n and 1 f?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**5 - 7*x**3 + 7*x**3)*(179 + 216 + 16).\nAnswer: 3699*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37602 = -12*t - 2382. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 8 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l + 2. Let r(y) be the first derivative of -4*y**3\/3 + 4*y**2 - 7*y - 7. Let k(o) = 5*b(o) + r(o). Give k(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 840 = -144 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 + 3006*u = 0.\nAnswer: -1002, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4 - 18186*h**3 + 490050*h**2 - 4407534*h + 13218228 = 0.\nAnswer: 9, 9066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**6\/9 - 4*i**5\/15 + 2*i**4\/3 + 8*i**3\/9 - 2*i**2\/3 - 4*i\/3 + 3. Suppose c(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/6 + 153*y**3\/2 + 5849*y**2\/6 + 7603*y\/2 + 4683 = 0. What is y?\nAnswer: -446, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 65 = 5. Let k(f) = -f**3 - 4*f**2 + 5*f + 3. Let d be k(-5). Suppose 7 = -3*n + 2*t, 6*n - n + d*t - v = 0. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088411 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037559189 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 1. Let k(x) = -x**3 - x**2 - x + 1. Suppose 0 = -5*o + 4 + 1. Let t be k(o). Put t, 2, q in decreasing order.\nAnswer: 2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 3*i + i**3 + (-1 - 3 + 3)*(-i + 3*i - i)*(203618 - 84*i - 203618)*(2*i - 2*i + i) in the form d + a*i**3 + j*i**2 + n*i and give a.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-1)\/2) - -23. Let k = p - 17. Solve -g - k = -3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u = -6. Let h(s) = -3*s**2 + s**2 + 4*s**u. Let z(n) = -4*n**2 + 11. Let r(p) = -2*p**2 + 6. Let b(x) = 11*r(x) - 6*z(x). Determine h(b(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and -5 - (3 - (-5 + 45)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*b - 5*m, 46 = b + 5*m - 9*m. Let q = 184 - -126. What is the greatest common divisor of b and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/28 - 5*h**3\/7 - 144*h**2\/7 - 96*h - 3. Determine o, given that k(o) = 0.\nAnswer: -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087488.\nAnswer: 2, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -475*u + 145. Let v(l) = 95*l - 29. Let n(a) = -2*q(a) - 11*v(a). Is n(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217817 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -16) + (-6)\/3. Let n be 13\/(-3) + 4\/a. Suppose 10 - 8 = -5*q - 13. Sort n, q, -9.\nAnswer: -9, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 5*c + 5*c + (30*c + 7*c - 12*c)*(-c - 4*c + 4*c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2973307880?\nAnswer: 2, 5, 74332697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3 (c) 1\/8 (d) -7 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180324521 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*s - o, 0 = -303*s + 347*s + o + 43 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -199693, -199695, -199713, -199753, -199821?\n\"Answer: -a**3 - 2*a**2 + 11*a - 199701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 9. Let m be s(-5). What is the greatest common factor of m and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1203*g**3 + 931*g**3 - 717*g**3)*(1 - 1 + 7) as v + q*g**2 + b*g**3 + j*g and give b.\nAnswer: 9919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -1.9. Let p = 13 - 18. What is the smallest value in p, i, -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-35)*g\/(g\/(g\/((g*g**(3\/5)\/g*g)\/g)*g*g*g*g)*g*g)*g assuming g is positive.\nAnswer: g**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27232 - 27231.97. Let p = 4 - 9. What is the closest to 1 in p, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 140*c**4 - 4757*c**3 - 10082*c**2.\nAnswer: -c**2*(c - 71)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 472*k\/5 - 27848\/5.\nAnswer: -2*(k - 118)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/((-9)\/(-2)). Suppose 0 = 2*m - 3*w - 12, 5*m - 4*w = w + 20. Is m at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**5 - 8*b**4 - 171*b**2 + 4. Let m(u) = -18*u**5 - 18*u**4 - 343*u**2 + 9. Let o(s) = -4*m(s) + 9*w(s). Find the third derivative of o(i) wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208)*3)**2.\nAnswer: -72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 minus 22.258?\nAnswer: -22.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2.7, 129, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*g + 2*d, -2*d - 5904 = -18*g - 3*d - 5877 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 - 2)*(-4 + 1 + 7)*(2*w - 2*w - 2*w) + (2*w + 2*w - 3*w)*(4 + 4 - 6))*(-w**3 + 8*w**3 + 2*w**3).\nAnswer: 378*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3516a1a + 2?\nAnswer: -3516a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1557 = 23*a - 26*a + g, 0 = -3*a - 3*g + 1569. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(3*sqrt(3))*2.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188884318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (161\/(-112))\/((-22)\/(-88)) + 6. Let n(u) be the first derivative of s*u**4 + 1\/9*u**3 + 0*u - 1\/2*u**2 - 1\/15*u**5 + 1. Factor n(v).\nAnswer: -v*(v - 3)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524238 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + 6*c**2 + 11. Let s(r) = 26*r**2 - 2. Determine b(s(n)).\nAnswer: 676*n**4 - 104*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -18. Let q = -25.016042656 - -0.016025656. Let y = a + q. Round y to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(1331)*6).\nAnswer: sqrt(11)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0 + 1\/2*x**2 - 42*x - 2*x**3. Give p(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 338 + 14501. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/1485)\/((-6)\/(-5) - 1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -31, 18, -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:57 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/30 - 8*s**4\/27 - 4*s**3\/9 + 16*s**2\/9 - 20*s. Factor f(a).\nAnswer: -2*(a + 2)*(a + 4)*(3*a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 351*z - 1058. Give p(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f - 10*f. Let m(q) = -2 - 5*q + f - 5 + 1 + 4*q**2. Does 20 divide m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.697 (c) 1277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 16*k - 4. Let a(t) = t**3 - 4*t**2 + 17*t - 22. Let n be a(2). Let o(z) = 15*z - 3. What is n*o(g) - 3*x(g)?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 4, -10, 27, -1658 in descending order.\nAnswer: 27, 4, 0.01, -10, -1658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4. Let n be 1\/1 + (-24)\/8. Let y(g) = -2 - 15 + 18. Let s(w) = -w - 2. What is n*s(f) + r*y(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and 71\/7182.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 118116?\nAnswer: -118131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**2 - 62*y**2 - 70*y**2 + 16*y**2 as b*y + f + r*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 2. Let f(y) = -10*y**2 + 7. Let v(t) = -t**2 + 5*t - 2. Let p be v(4). Suppose -p*m + m + 14 = 0. Let x(l) = m*w(l) - 4*f(l). Factor x(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -294 in 1, 3, -1, 1\/2, 945, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 3*o - 67 + 67.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -933 - -936. Which is smaller: 0.12 or j?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35678 and -3?\nAnswer: 107034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -22*q + 15*q. Let y be (-3*q\/6)\/((-141)\/(-1316)). Solve 2*j - y = -16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5928 and 5?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 747224 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/60 + c**4\/24 - 12*c**2. Give v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6726 - -10544. Does 71 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1.3, -613, -0.4, 0.\nAnswer: -613, -3, -1.3, -0.4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*o - 309, 0*o = -2*t - 2*o + 138. Suppose 0 = -45*s + 42*s - 5*l + t, 4*l + 76 = 4*s. Calculate the lowest common multiple of s and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*w + 344 + 106. Let n(a) = 38*a**2 + 2*a. Let x(t) = -38*t**2 - 2*t. Calculate w*n(z) - 2*x(z).\nAnswer: -38*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 418119.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95.1305 - 0.0305. Let x = a + -95.099999559. Round x to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3\/4)*w\/w**(-6\/11)*(w*w\/(w*(w*(w*(w*w\/(w*w**3*w*w))\/w)\/w)\/w))\/(w\/w**(-1)))**(5\/9) assuming w is positive.\nAnswer: w**(1495\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 824235960 to the nearest integer?\nAnswer: 28710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Suppose 2*j - 4*d = 16, 3*j - 5*d = -2*d + 9. Let u(k) = k**2 - 2*k. Let l(x) = j*g(x) + u(x). Let z(w) = 3*w**2 + 3*w**2 - w**2. Give l(z(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*o - 111 = 1285*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7424 - 7431 + 2*h + 22290 - 7435.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1072*-4\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 3*w - 1. Suppose -10*q = 3 + 7. Let f be j(q). Suppose 2*u = p - 19 + f, -29 = -2*p + 3*u. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249323.\nAnswer: 283, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 8533614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 25 = f, l + 4*l = 5. Let p(z) = -19*z - 14. Let m be p(4). Let u = f - m. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 3:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 265 = 4*t, -6*t - 829 = -3*g - t. Let a = -1669\/6 + g. Does a = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.5 - -54. Let o = q - 4.5. Let z = o + -10.998. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47625 divided by 5.\nAnswer: -9525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 239. Calculate f(59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3275 = 3*v + 3271, q + 2 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1288907674 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 14) to base 9\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122904 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9616 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-142 + 219 + -85 + (13 - 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61.54 and -0.1.\nAnswer: -6.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.8. Let w = -28193.87 + 28194. Which is the biggest value? (a) -10 (b) 0.1 (c) w (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*r = -9, 5 = r + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 133682157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-4.335\nAnswer: -4.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 74*2\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*5364.18\nAnswer: 2145.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1206 + -1205.6. Which is the third biggest value? (a) l (b) -1.6 (c) 3 (d) -23\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 - 16*u - 30. Let o = 258 - 262. Let p be c(o). Which is smaller: p or -38\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3. Let x be w(-8). Suppose 4*t - x*k = 206, t - k - 50 = k. Calculate the highest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65650326 divided by -65650326.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*u - 4*t - 3, t = u - 7. Let y(r) be the first derivative of -3*r**4\/4 - 2*r**3\/3 + 2*r**2 - 3*r - 36255. Calculate y(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2254, 4537, 6806, 9061, 11302, 13529, 15742?\n\"Answer: -7*b**2 + 2304*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 8*t - 8. Suppose -c = 3*c - 8. Let q be (-58)\/(-18) - (-2)\/(-9). Let o(g) = q*g**2 + 2 - 5 - c*g**2 - 3*g. Calculate 8*o(v) - 3*w(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, g: 1, e: 1, o: 6, c: 4}. Give prob of sequence gea.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or -34\/8769?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:30 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5728*n + 1229*n - 7106*n to i*n + o and give i.\nAnswer: -11605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(57) + sqrt(4617) + (sqrt(4617)*-1 - sqrt(4617)))*-3)\/(-5*sqrt(108)*-1).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-50) + (-26)\/10. Sort -8, -5, i.\nAnswer: -8, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172871 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((5 - 11 - 0) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*b - 67 = -b, -2*b + 289 = 5*q. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 + 32884*b**4 + b**3 - 108348*b**2 wrt b.\nAnswer: -60*b**2 + 789216*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 2.7. Sort 0.3, 2\/13, o in descending order.\nAnswer: 0.3, 2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 16*a - 7*a. Solve 5*h + 0*c + 25 = a*c, h = -4*c - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2233752 by 6.\nAnswer: 372292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 12*x + 8*x + 64, -5*n + 5*x = -80. Calculate the remainder when 957 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/3 + 787*x**3 + 146454*x**2 + 19716764*x\/3 - 6719496 = 0.\nAnswer: -2162, -126, -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.9497 to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58785 is divided by 7344.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/5 (b) 3 (c) 4 (d) 34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*p**3 - 33*p**3 + p + 0*p + 2*p to r*p**2 + z*p + f + o*p**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*m**2*n**2 - 1043*m**2 + 31*n**2 - n - 16 wrt m.\nAnswer: 20*m*n**2 - 2086*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, -3577 in descending order.\nAnswer: -4, -26, -3577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*z = 5*a + 697*z - 67, 4*z = 6*a - 5*a - 2 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 1. Let r(x) = 1. Give -4*r(m) - v(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/(s**1\/s))**(-28) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -30*k**2 + 60. Let v(s) = -s**2 + 6. Let x(d) = -u(d) + 10*v(d). Let t(f) = 97*f - 3. Calculate t(x(r)).\nAnswer: 1940*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6353 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: Evaluate 4*(-3330)\/(-296) + -119.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = v + 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-25)*(-65)\/39. Is 50 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -19. Let r(y) = y**2 - 5*y - 17. Let o be r(7). Let n = o - f. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 129 = c, -2*u = 2*c - 82. Let k be 138\/(-345) - (-3)\/((-30)\/(-604)). Let g = k - u. What is the lowest common multiple of g and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from qztdvzqk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -6*u - 5\/6*u**3 + 0 + 1\/30*u**6 + 0*u**2 + 0*u**4 + 0*u**5. What is the second derivative of a(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1166 + -5?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232507 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + sqrt(85)*-2 + sqrt(85))\/sqrt(5) + 1)**2 + 2.\nAnswer: 2*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*m + 5*b, -m = 3*m + 3*b - 53. What is the highest common factor of 121 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-7 - (6 + -4) - (-15 + 3)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-5)\/2)*(-4)\/9. Let y = -10.28 + 12.28. Sort y, -4, q, -5.\nAnswer: -5, -4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmrrsrsm. What is prob of picking 1 s and 1 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11))**(-32) assuming l is positive.\nAnswer: l**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11629 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*q**4 - 13997*q**2 - 1266033*q?\nAnswer: 408*q**2 - 27994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -106, -117, -132, -151?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzc when three letters picked without replacement from uzzzhzuzczhcc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/110 and 97\/2160.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1297291901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851 a factor of 147746820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 962 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -70*-0.13\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_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 u(k) be the second derivative of 0*k**2 - 140*k + 0 - 1\/6*k**4 + 0*k**3. Let l(s) = -138*s**2. Calculate l(u(m)).\nAnswer: -552*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324144 by 2.\nAnswer: -162072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Suppose -4*g - 2*i + 18 = 0, -6 = g + 2*i - 3. Suppose 79 = p*t + g. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.5 at most as big as 4583879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - 2*a, -5*a = -4*z + 3*z - 13. Suppose -18*f = -25*f - z. What is the units digit of 5 + -5 - (f + -137)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*b - 30 = 555*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 3)*(-w + 3*w - 3*w) + (4 + 2 - 5)*(4*w - 4*w + 2*w) - 2*w + 3*w + w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110111 + -11101100000111?\nAnswer: -11100010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1473 - -184. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2132*m + 2127*m + 16, 28*m - 16 = -3*l + 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 739613\/(-23655) - (82\/30 + -3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 89040224.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8701 + 8721. Solve 0 = -23*k + j*k + 18 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w**4 - 102*w**3 + 3*w**2 + 168*w + 36 = 0. What is w?\nAnswer: -1, -2\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*d - d - 203, d + 207 = 3*s. Let o = 7 - d. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.85 + -72.9.\nAnswer: -64.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78 - 65 - 300*p + 263*p - 2*p - 3*p + 4*p + (6*p - 3*p - p)*(3 + 4 - 6) + p + 5*p - 5*p + 0*p - 2*p + 4*p + 4*p - p - p.\nAnswer: -31*p + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -35. Solve 5*n - 3*n + 6 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 24. Let b be o(-6). Let v(k) = b + 14 - 20 - k. Let c(m) = 26*m. Give v(c(q)).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 96*o = -92*o + 914, -5*o - 312 = -j. What is the remainder when j is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 36?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let y(j) = -j + 29. What is the remainder when (-111)\/g - (-2)\/(-4) is divided by y(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203898 divided by 2\nAnswer: -101949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 0)*(3 - 2). Let z = l - -47. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m. Let l(g) = 7*g + 398. What is l(a(x))?\nAnswer: -98*x + 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 18, 25, 32, 39, 46?\n\"Answer: 7*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j + 11. Let c be w(4). Let d be (1\/5)\/c*-2. Let i = 4 + -8. What is the closest to i in -3, 0.1, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319 + -120236913\nAnswer: -120237232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 29. Let z = 241.8 - 242. Which is the nearest to z? (a) -2 (b) m (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 417.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -9. Let d = -6 + n. Suppose -27 = -p + d*x, -5*p + 52 + 23 = -5*x. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 15 = -3*y. Suppose 4*p + 37 = 5*a, 2*p - p = -a + 2. What is the tens digit of 1\/p + 305\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/5))**(-15)*y**(-7)*y**(-5\/4) assuming y is positive.\nAnswer: y**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56.73 - 54.63. Which is the biggest value? (a) 1 (b) n (c) 5 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149409719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 3592754.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 84 + 19*u**3 - 2*u + 6*u - 3*u**2 - 37 - 43 as j*u + w*u**3 + s + z*u**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u - 136*u + 81*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143678, -571394, -1284262, -2282288, -3565478, -5133838, -6987374, -9126092?\n\"Answer: -a**3 - 142570*a**2 + a - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**3 - o**2 - o + 2. Let q be v(1). Calculate the highest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 1123, 4 in descending order.\nAnswer: 1123, 4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - (sqrt(294) - (sqrt(294)*4 - sqrt(294)))*5)\/(sqrt(5000) + 4*sqrt(5000) + sqrt(5000) - sqrt(5000) - sqrt(50)) + -1 + -4)**2.\nAnswer: -22*sqrt(3)\/7 + 30988\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*-6 - (-2*(-2*sqrt(153) + sqrt(153)) - sqrt(153)))\/(sqrt(36)\/(4*sqrt(4)*2 + sqrt(4)))*1.\nAnswer: 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63441 by -1197.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (5 + -2 - -24). Let m be (-1 - -3)*1 - w. Suppose 3*i - 2*y + 45 = 8*i, -m = -5*i + 2*y. Solve 4*v = -3*c + 20, 2*v - i*v + 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*k - 0*k + 5, -3*s + 29 = -4*k. Solve -6*m + s*m = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 6. Let q(l) = -2*l**2 + 2 + l**2 - 24219*l - 4 + 24227*l. Give q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2) + -1 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11518\/7 + 69115\/42. Factor -z*l**2 - 5\/3 + 7\/6*l.\nAnswer: -(l - 5)*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - l - 24 = 0. Differentiate -27 + 18*s**l - 9 - s**2 - s**2 + 9*s**3 with respect to s.\nAnswer: 81*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 12 + 2*r + 1\/3*r**3 + 0*r**2. Let f be g(0). Solve -f*j + 4*j = -5*x - 16, 0 = 5*j + x + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 730 and 5437?\nAnswer: 3969010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 4*y**3\/3 + 7*y**2\/2 - 207*y. Calculate a(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/9 + 2024*u**3\/9 - 510044*u**2\/9 - 342056*u\/3 - 57122 = 0. Calculate u.\nAnswer: -1, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/10*(-4)\/(-2). Suppose 14 + 1 = h*g. Suppose 493 = g*l - 7. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2403294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21)*(-266 + -1). Is 1\/(-3 - 536\/r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 2 (c) -3 (d) 338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538*h**6 - h**5 + 10*h**2 - 85*h?\nAnswer: 64560*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a3837988 - -2?\nAnswer: -a3837986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3942, -10, -5, -2\/5, 1, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72991234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0, 5, 173.\nAnswer: -1, 0, 4, 5, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.077565 weeks in seconds?\nAnswer: 4885311.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (-9478)\/35 - (-2)\/10. What is the third derivative of -n + 34*l**2 + 277 + 28*l**3 wrt l?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 128*f + 128. Let l be s(-1). What is the nearest to l in 17, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-5)*g))\/g**8*g**7\/(g**0\/g))**(-47))**(-8\/3) assuming g is positive.\nAnswer: g**(1880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006508655 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135429860.\nAnswer: 2, 5, 6771493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2. Suppose -j - 5*a - 13 = -0*a, 4*a = -5*j - 2. Suppose 2*x - 8 = -j*x. Let z(g) = 0*g**x + 0*g**2 - g**2. Calculate -o(c) - 2*z(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*d**3\/5 - 76*d**2 + 608*d\/5 + 112\/5.\nAnswer: 4*(d - 14)*(d - 2)*(6*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 1960. Let q(y) = 9*y - 1966. Give 7*p(m) - 8*q(m).\nAnswer: -2*m + 2008","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55872 divided by 3291.\nAnswer: -18624\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 3 - 3)*(d + 4*d - 3*d) - 3*d + 6*d - 2*d)*(-10 + 23 - 6 + 4*d) to p + v*d + n*d**2 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from {o: 1, f: 1, b: 1, k: 1, c: 2, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*t**2 + 1329*t**2 - 396*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-18) - (-470)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16 + 1\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 136\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3914 - -29689.72?\nAnswer: 25775.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 47*b**3 + 6 + 39*b**3 + (3*b - 3*b - 4*b)*(2*b**2 - 6*b**2 - 2*b**2).\nAnswer: 16*b**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 23*j**2 + 221*j + 21. Calculate the remainder when i(10) is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7852*l - 2140*l**3 + 3927*l + 2135*l**3 + 3925*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10046, 21963, 33880, 45797, 57714, 69631?\nAnswer: 81548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 12) in base 8?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*l + 145*l - 100*l - 3 + 3.\nAnswer: 209*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(((-35)\/790)\/7). Let z = 81 - p. Suppose -38 = -5*n + z. Solve 0*y = -2*y + n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6783 - -6810. What is the remainder when 632 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0409 + 349.9591. Let s = 350.3 - k. Which is the biggest value? (a) s (b) -0.05 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640402859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + 1)*4\/10. Suppose -5*p + 5*s = -5, -15 = 5*p - 5*s + v*s. What are the prime factors of (-6)\/p*434\/21?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 10, 14, 18, 22, 26?\n\"Answer: 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 4*h. Suppose 2*w - 4*q = 0, 5*w + q - 4 = -15. Let b be a(w). Is 11 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-1)\/(-3)*3. Suppose 0 = -0*u - 2*u + 20. Let b be d\/(-10) - (-34)\/u. Solve -b*n + n = -3*o, -o + 13 = -5*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1)\/r)**(12\/11)*(r\/r**(-3))**4 assuming r is positive.\nAnswer: r**(164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknknnnkkjj. Give prob of picking 1 j, 1 k, and 1 n.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -44. Suppose -12*p - 645 = -t*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31371 - 2725?\nAnswer: 27545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-167115)\/(-21) + (0 + 1)*1\/7?\nAnswer: 2, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l - 5*l + 44200 = 0. Calculate the greatest common factor of 208 and l.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kugxuuxuunokg. What is prob of sequence ukg?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(73 - 291 - 22)*(4*c - 5*c + 2*c) to the form x + b*c and give b.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = -3*h + 136, 4*j = 2*h - 64. Let m = h - 42. Is (-17 + -11)*m\/6*6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (121 + -76 + -7)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:52 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3134 + 3127. Let z(f) = -f**2 - 5*f - 1. Calculate z(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d - 10*d**2 - 1298*d**3 + 1413*d**3 + 805*d**3 + 2. What is the hundreds digit of n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 29 = 5*g, -g + 108 - 14 = 2*p. Let v(y) = -y**3 + 6*y**2 + y + 7. Let x be v(6). Suppose -x + p = 6*r. Solve r*o - 20 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 3*n**5 + 3*n**5 + (2 + 2 - 3)*(6 + n**5 - 6).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1319*p**2. Let g(n) be the third derivative of -n**4\/12 + 28*n**2 - 1. What is r(g(q))?\nAnswer: 5276*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/6)*c*c*(c*(c\/(c\/((c**(-3)\/c)\/c)))\/c)\/c*c*c*((c**(2\/5)*c)\/c*c)**(2\/25) assuming c is positive.\nAnswer: c**(-1541\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2, 80\/309 in descending order.\nAnswer: 2, 80\/309, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -227\/5. Let m = 50 + -47.6. Let y = m - 3.4. What is the closest to -6 in -0.4, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*w + 41189 - 41189 - 167*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -8*j + 2*j. Suppose 4*y = -t + 45, -5*y = -t - j - 45. Suppose -280 = -4*m + 240. Calculate the greatest common divisor of m and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.4. Let g = -95\/3 + 32. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5609 in -0.06, 6, 1\/8, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51005*n**5*w**2 - 2*n**3*s**2*w + n**2*s**2 - 2*s**2*w**2 + 4*s**2*w + 2047*s**2 wrt n?\nAnswer: 3060300*n**2*w**2 - 12*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/3 - 35164*m\/3 + 561856 = 0.\nAnswer: 48, 35116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/7 + 12*d**3 - 520*d**2\/7.\nAnswer: 4*d**2*(d - 5)*(d + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = 5*j - 0*p, 4*j - 14 = -p. Let h(k) = 4*k**2 + 1 + k**3 + k**2 - j*k**2 - 2*k. Let d be h(1). Solve -l = 5*f - 4, 5*f - 3*f - d*l = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 302246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9018 + 983. Calculate the greatest common factor of 274 and y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276301 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.2 + 1805992.8.\nAnswer: 1805980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38800 divided by -1.\nAnswer: -38800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 + 4*f - 2. Determine n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -3 - -4)\/(-1). Let t be (-84)\/(-4 - 5\/i). What is the tens digit of -1*(-8)\/(-2) - t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 + 217.0051. Let i = -0.0051 + y. Which is the nearest to -0.1? (a) i (b) 49 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*s + 2*i, -5*s + 6 = 5*i - 9. Suppose 0*j - r + 8 = j, 3*j = 2*r + s. Factor -1 + 12*q + 2*q**2 - j*q + 5 + 2.\nAnswer: 2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 178 - -11af?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + (-2772)\/108 - -35. Factor -3*a**3 + 0 + 4*a**2 - z*a.\nAnswer: -a*(3*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2009994\/(-20) + (-39)\/65. Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/217, -3, 48, 2\/9 in ascending order.\nAnswer: -3, 1\/217, 2\/9, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/6 + 8*s**3\/3 - 17*s**2. Let g be q(11). Let h = g + -28. What is the remainder when 95 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -4*v - 3*q + 4*q, -5*v + 3*q - 114 = 0. Let i = -2.0111 + 0.0111. What is the nearest to i in -4, v, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Which is the biggest value? (a) n (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:20 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1247 + 7483\/6. Sort -2\/11, -0.2, x, 5, -2.\nAnswer: -2, -0.2, -2\/11, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 12*u**2 + 34*u - 32. Let q be j(14). Let b = q + -12. Suppose -4*w + b = -3*a - 2, 2*w = 3*a + 24. Is 9 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 at most 0.0645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -842 - -1292. What is the second derivative of -409*q + y*q + 19*q**2 + 18*q**2 wrt q?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38.83 + 0.17. Let r = x - 39.2. Which is the nearest to r? (a) 1 (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = q + 5. Suppose 4*g + 2*w = q, 0*g = g - w. Let r be 1\/g*2 + 12. What is the highest common divisor of r and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-6 + (8 - -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 1652.\nAnswer: 9\/826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 837, -5, 2\/7, 0.1302, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156e (base 16) in base 12?\nAnswer: 35126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102681, -105651, -108623, -111597, -114573, -117551?\nAnswer: -120531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a day?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4541923 and 52487?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41.5 and 1663354?\nAnswer: 1663395.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**6\/40 + o**5\/5 + 5*o**4\/8 + o**3 - 2*o**2 + 2. Let s(b) be the second derivative of h(b). Factor s(p).\nAnswer: 3*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a227 (base 14) to base 7.\nAnswer: 1134150","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -38928 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, k: 1, d: 3, h: 5, i: 1}. What is prob of picking 1 h, 2 y, and 1 k?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/30 + 42*n**5\/5 + 1203*n**4\/2 + 6640*n**3\/3 - 20667*n**2\/2 - 370*n + 2. What is x in g(x) = 0?\nAnswer: -83, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -353?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14138 + 1284*o**3 + 14138)*(3*o + 2*o - 4*o) + 3 - o**4 - 3.\nAnswer: 1283*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2740, -2733, -2726, -2719, -2712?\n\"Answer: 7*i - 2747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 119, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 4*w**5\/5 + 10*w**4 + 100*w**3\/3 - 38. Let f(p) = 0. What is p?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 b = 115 + -50. Suppose b = g - 0*g. Suppose -226 = -3*t + g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -27. Suppose 6*k - z = 3*k + 221, 3*z = r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:34 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5565988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 > -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24629059 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*d + 53, 0 = 5*o + 51*d - 55*d + 144 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 13. Calculate w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 - 5*j - 4. Let n(i) = -7*i**2 + 7*i + 5. Determine 3*h(w) + 2*n(w).\nAnswer: 7*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600505097.\nAnswer: 229, 2622293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1494, 1500, 1516, 1548, 1602, 1684?\n\"Answer: h**3 - h**2 + 2*h + 1492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 70131?\nAnswer: -70122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/32019*6\/32. Let v = l - 459847\/1142832. Let m = v + 2\/29. What is the nearest to -1\/2 in 0.1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = w - 14, 0 = 2*w - 3*w - 4*b - 10. Suppose 3*n = 12, 2*n + 4 = -w*l + 5*l. Suppose -2*p + 2*h - 66 = -5*p, -4*h + 88 = l*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10*c = 12. Let s(a) = -2*a**2 - 4*a - 1. Let j(m) = -m. Let l(u) = c*s(u) + 6*j(u). Give l(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*4\/(-36))\/((-2)\/(-2)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/10*(-10)\/(-4). Suppose 84237 = l*w - 41769. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, 32601, 0 in ascending order.\nAnswer: 0, 8\/7, 32601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/34 and -97\/394.\nAnswer: 6698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 2860?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4901050 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 - 107*l**2 - 23*l**2 + 135*l**2 + 2*l**3 - 14*l - l**3 - 1 in the form z*l + i + m*l**3 + q*l**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 66. Let y(k) = 146*k**2 - k + 5. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = t + 31. Let x(l) = -l**3 + 9*l**2 - l + 1. Is 9 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 116*n\/11 + 432\/11.\nAnswer: 2*(n + 4)*(n + 54)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/21)\/((-52)\/(-15) + -4)*-644. What is the greatest common factor of 3703 and b?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-13 - (-10 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9112832184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 47*z + 2158. What is the remainder when 166 is divided by x(-45)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34449 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 44*x - 15. Calculate v(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.620355 rounded to two dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 136.5.\nAnswer: 133.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f. Let u = 8 - 13. Let t be k(u). Let z(b) = 1. Let d(h) = -h + 2. Let q(m) = d(m) - 2*z(m). Let p(i) = -7*i - 2. What is t*q(w) - p(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 12941 = 13051 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*r + 5 = -0*m, m + 28 = 5*r. Let p(a) = -a**3 - a**2 + 2*a + 3. Calculate the remainder when 28 is divided by p(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 10*q**2 + 22*q - 8. Let i be x(-6). Let m(n) = n**3 + 5*n**2 + 5*n + 7. Let t be m(-4). Factor 0 + 0*r**2 + 0*r + r**t + 1\/2*r**i.\nAnswer: r**3*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*(-1)\/(-1). Let x be -39*(-3 + g + 3). Let s be (-72)\/x + -2 - 0. Which is the second smallest value? (a) s (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4)\/5*24. Let o be -4*(21\/v - -1). Solve -2*t + 7 = -2*r - 1, t = -o*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let d(o) = -3*o**2 - 2*o - 2. Let z(g) = -7*g**2 - 5*g - 5. Let m(l) = -5*d(l) + 2*z(l). What is t(m(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 3116*r - 3118.\nAnswer: 2*(r - 1)*(r + 1559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6674 - 6663. Suppose 4*l - 2 = -6. Which is the closest to -1? (a) l (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6178171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**2 - 2499*m + 850. Let z be d(-278). Factor 16\/3*o - 8\/9*o**3 - 44\/9*o**2 + 4\/9*o**4 + z.\nAnswer: 4*(o - 3)**2*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/10*20\/6. Let a(h) = -v*h**2 + h**2 + h**2 - 2*h**2. Let b(u) = 9*u**2 - 2*u. Let c(o) = -37*o**2 + 6*o. Let x(r) = 3*b(r) + c(r). Calculate a(x(f)).\nAnswer: -400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let r(f) = 3*f - 37. Determine m(r(z)).\nAnswer: 9*z - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44761 + 9241 = -2*m. Is (m\/52)\/(2\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95235800 divided by 14600.\nAnswer: -6523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/14 + 382*z**3\/21 - 1173*z**2\/7 + 3546*z\/7 - 6879. Factor f(d).\nAnswer: 2*(d - 3)**2*(d + 197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 29 - 64. Suppose 2*b - s*b = -40. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*x + 2 = -86*x. Solve 0*y - x = a + y, y = -5*a - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {x: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26953584?\nAnswer: 2, 3, 7, 97, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/35 - w**5\/30 - 15*w**2. What is the third derivative of l(x) wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2 - 10*i**6 + 10*i**2 - i**6 + 2*i**2 wrt i?\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckcozkzzkzkczkkkz. What is prob of sequence zzk?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 643947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j + 16. Let c be v(1). Suppose c*d - 4*d = -5, 2*w = -5*d + 2383. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o + 2. Let l be h(4). Suppose -4*z + 8 = -2*z. What is the highest common divisor of z and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 62.047. Let g = c - -2.953. Let u(k) = -k**3 - 6*k**2 - 5*k - 1. Let o be u(-5). What is the nearest to 0 in g, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) - (-2 - -4). Let l = g + -6. Let s = 0 - -3. Put 1, s, l in decreasing order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 - g - 2. Let q be n(-8). Let m be 25\/9 + (-4)\/(-18). Solve -4*v - 4*t - 4 = 0, -3*v + t = q*t + m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:02 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/9)\/((-1)\/(-6)). Suppose -3*w + 6 = -9, 3*h = -o*w + 32. Suppose t + 2 = -h*y - 3, 4*y = 5*t + 25. Solve y = -2*z + 4*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 2, p: 1, o: 2, s: 5, c: 2}. Give prob of picking 1 s and 2 d.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 - 2*l + 16. Let r be a(7). Let f(d) = -d**2. Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/(-14935) + 10298\/103 + -13.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/14*4\/3. What is the hundreds digit of x\/5 - (-9984)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 613.9 - -36.1. Let d = -650.00343 + t. What is d rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -43188.\nAnswer: 17275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25788 and 0.052?\nAnswer: 1340.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808*v = 818*v - 290. Calculate the greatest common divisor of 87 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 37286\nAnswer: 5\/37286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*m - 440*m = -289*m + 9042 + 12738 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f - 15. Let d(p) = -15*p + 51. Let x(m) = -3*m + 10. Let s(j) = -2*d(j) + 11*x(j). What is 6*c(y) + 11*s(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -7, 4, 3 in increasing order.\nAnswer: -14, -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875036 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 8*d + 4. Give p(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + 2\/1. Let f(z) be the second derivative of 0*z**2 + 1\/3*z**a + 0 - 2*z. Let t(i) = i. Determine f(t(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7163\/870 + -8)\/((-4)\/(-24))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h**3 - 2*h + 36. Let u(s) = 38*s**3 + 5*s - 73. Let d(y) = -5*q(y) - 2*u(y). Find the first derivative of d(n) wrt n.\nAnswer: 57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5445, 1, 0, 5.\nAnswer: 0, 1, 5, 5445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 5, l: 4, f: 4, u: 1, p: 3}. Give prob of sequence ofu.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/(m*m**(-2\/7)*m)*m))**(9\/13))**(-5\/11)*(m\/(m\/(((m\/m**12)\/m)\/m)*m)*m**13)**(-14) assuming m is positive.\nAnswer: m**(14419\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-4)\/(72\/(-6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2. Let h(z) be the second derivative of -23*z**3\/6 + 1404*z. Calculate h(s(y)).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 3*s**2 - 3*s - 7. Let c(p) = -4*p**3 + 2*p**2 - 3*p - 6. Let u(d) = 4*c(d) - 3*k(d). Calculate u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s. Let p(z) = 96*z. Calculate 117*k(a) - 6*p(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 1 - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -16*h**2. Let d(j) = -506*j. Determine q(d(k)).\nAnswer: -4096576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 25223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + 0 + -13 + 9 + 13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (-6 + 3)) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, n: 4}. Give prob of picking 1 n and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26702 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/1291?\nAnswer: 5\/1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*g*v**5 + 10*g*v**2 + 15*v**2 wrt v?\nAnswer: 10560*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 38 - 85*j**3 - 153*j**3 + 4.\nAnswer: -238*j**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22637329 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22230240 (base 5) to base 10.\nAnswer: -195695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 41\/486318, 1\/3, -0.1, -1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190740 and 34680.\nAnswer: 381480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -23 - (1 + -4 + 11). Suppose 5*m - 155 = -0*m. Let x = y + m. Solve -b = -x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3556 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3. Let d(b) = 49*b - 7. Calculate d(u) + 3*j(u).\nAnswer: 49*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1485407693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 12*g + 15. Give f(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 + 423. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236*w + 436*w**2 - 10*w**3 - 1048*w**2 + 22*w**3 - 15*w**3 = 0.\nAnswer: -206, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from dddrddddrdddrdd.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1075001, -2149990, -3224979?\n\"Answer: -1074989*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 + -347.08.\nAnswer: -407.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**9\/756 + 4*y**3\/3 + 4*y**2. Let r(n) be the first derivative of b(n). Factor r(g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3430 divided by -1715.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-657609)\/(-54) + 1). Let g = -24393 - r. Let j = g + 430\/9. Find the common denominator of j and -34\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let l be (-9 + 10)*(0 - -1)\/2. Determine n so that 1\/2*n**2 + p*n - l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/232206 and -17\/2977.\nAnswer: 232206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121201 + 0?\nAnswer: 1121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -781\/7 - -112. Which is the second smallest value? (a) -2 (b) r (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*m**3 + 224*m**3 + 413*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -289, -291, -293, -295, -297?\n\"Answer: -2*x - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2983096719 or 2983096718?\nAnswer: 2983096718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 5. Let r(f) = 1. Let p(k) = -3. Let g(a) = p(a) + 2*r(a). Determine 2*g(h) + z(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2419555, 2419545, 2419535, 2419525?\n\"Answer: -10*o + 2419565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -104. Is z at most -2\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484100379 to the power of 1\/2, to the nearest integer?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 337.\nAnswer: -6\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*a - 5. Let d = a - -27. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 1. Let n(s) = 8*s**3 - 3*s**2 + 2*s - 7. Let v(g) = -21*m(g) + 3*n(g). Determine t so that v(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28231?\nAnswer: 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - -5*8\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-26))*b)\/b**(-5\/16) assuming b is positive.\nAnswer: b**(-411\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 85307*g**2 - 14*g**3 - 11*g - 85307*g**2 as b*g**2 + q*g + l + i*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 73*w**2 + 150*w.\nAnswer: -w*(w - 75)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/14)\/((-3)\/21*2). Suppose 385 = 13*l - o*l. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 - 3*v**2)*(2*v - 2*v + 2*v) + (2*v**2 - 4*v**2 + 5*v**2)*(5*v - 3*v - 3*v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 10:10 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 3.25. Which is the second biggest value? (a) m (b) -1\/4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l. Let r(o) = -7*o - 9. Let b(f) = -2*j(f) - r(f). What are the prime factors of b(-10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556847746.\nAnswer: 2, 7, 13, 71, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 6*f**3 + 3*f - 4*f + 12*f**3 - 3*f**2 - 2 - f**4 as q*f + l*f**4 + z*f**2 + u + m*f**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 707330*z**2 - 13777617.\nAnswer: 1414660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112)*1)\/sqrt(2))\/((sqrt(72)*4 + sqrt(72))*-1 + sqrt(72)).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*z - 6*z + 2, 5*k = z + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*l - 2 + 3)*(346*l - 47*l - 26*l)*(-4*l**3 + 12*l**3 + 0*l**3 + 3*l**3 + 0*l**3 - 5*l**3 + (l**3 + 0*l**3 - 3*l**3)*(4 - 1 - 2) + 1 + 2*l**3 - 1).\nAnswer: -3276*l**5 + 6552*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(228)\/(3*sqrt(192)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147358 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/2 - 3*j**2\/2 - 930*j. Determine f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:59 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11401713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 + 5*t - 2. Let d(i) be the first derivative of 7*i**3\/3 - 4*i**2 + 3*i + 15. Let n(j) = 5*d(j) + 8*r(j). Determine n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)\/(l*l**(-2\/21)))\/(((l\/l**(15\/4))\/l)\/l*l*l**(2\/123)*l))**(-2\/47) assuming l is positive.\nAnswer: l**(-2291\/26978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z - z**4 + 19*z - 6*z + 34 + 0*z**3 - 2*z**3 + 3*z**4 as k*z**4 + n*z**2 + m*z**3 + a*z + s and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -196, -395, -594?\n\"Answer: -199*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1216141 + 0.1.\nAnswer: -1216140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5)*(-4)\/(440\/(-25)). Factor -2\/11*t**2 + 2\/11*t - 2\/11*t**3 + p.\nAnswer: -2*(t - 1)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -28*j**4 - 5640*j**3 - 13556*j**2 - 4776*j = 0?\nAnswer: -199, -2, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -714.18633 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + 1993*g**2 + 556*g + 2693. Calculate s(285).\nAnswer: -1297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**3 + 3*r**2 + 2*r. Let m(p) = -p**3 - 2*p**2 - 2*p. Let a(d) = -4*m(d) - z(d). Let b be a(-1). Solve 0*t + i + 16 = b*t, 24 = 3*t + 3*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 6. Let r be c(-3). Let l = 8 + r. Let g be -2 + 1\/1 + l. Solve q + g*q + 2*d = 14, 4*q + 3*d - 14 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 4171652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/11)\/v)\/(v*v**(-2\/17)))\/((v*(v*v*v*v*v*v**(2\/7))\/v)\/v)**(7\/11) assuming v is positive.\nAnswer: v**(-879\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.084 + 0.284. Let b be 32\/(-18) + (55 - 53). What is the fourth biggest value in f, b, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**5 + 15*i**4 - 35406*i**3 + 1558650*i**2 - 8258997*i + 6735735 = 0.\nAnswer: -129, 1, 5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -157, -225, -293, -361, -429?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6\/37, 148\/23 in decreasing order.\nAnswer: 12, 148\/23, -6\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 19*b - 90. Let w be (-870)\/(-270) + (-2)\/b. Suppose 0 - 7\/5*d**2 - 2\/5*d + 4\/5*d**4 + d**w = 0. What is d?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 37022 = 2*t, h + 37025 = 2*t. Let m = t - 2812. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 16. Let m be c(9). Suppose -5*r = -5*i - 5, -2*i - m*r = i - 7. Let o be (195*6*10)\/i. Round o to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t - 4. Let h be p(-13). Suppose 0 = -4*f + 23*f - 38. Put f, h, 0 in decreasing order.\nAnswer: h, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*u + 755, -78 - 3008 = -4*x - 2*u. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.79913 - 2.812. Round r to four dps.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:57 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/107989 and 17\/133?\nAnswer: 2051791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*l = 278 - 1083. Solve -5*s - l = 4*o + 11, -2*o + 2 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 2. Let i(u) = -u. Calculate 12*i(f) - p(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -513774 (base 8) to base 15\nAnswer: -35570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*a - 136212 = -893274. Calculate the greatest common divisor of a and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3296628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -793 at most -793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 85406, 85407, 85408, 85409, 85410, 85411?\n\"Answer: p + 85405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -89*j - 1. Let v be 4\/(-26) + 1691\/(-247). Is s(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 7*j**2 - j + 4. Calculate g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykykykyy. Give prob of sequence yyk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 2. Let f(t) be the third derivative of 0 - 2*t**2 + 1\/3*t**4 - 1\/2*t**3 + 0*t. Determine f(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 - w**2 + 9*w**2 + 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 677\/9. Determine f so that 2\/3*f**2 + 2\/9*f**3 + q + 2\/3*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 - 127) + -1 + 12 - -26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*v - 84*v - z = -68, -z = 2*v - 26. Solve 0 = 29*a - 22*a - v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 - ((-4 - -2) + -2) and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/13)*x\/x**(-2\/11)*x*(x\/(x**(-8\/11)\/x))\/(x*((((x*x**(-2\/49))\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(51932\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6418 + -1)*4307\/(-511)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7681*m - 138776 = -9258*m for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 22*z = -28 + 73, 2*g - 7*g = -3*z + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/207 in 1, 0.2, 2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.04791.\nAnswer: 0.014373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-317 + 44*m + 317)*(-1 + 8 + 7) as k + n*m and give n.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 12, -6*k = -3*p - 7*k + 3008. Let r = 1082 - p. What is the remainder when r is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.002, -7, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/14186 - 3688363\/42558. Let i = 86 + r. What is the third biggest value in -1\/3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*s + 5*t - 59, -6*s - 4*t = -94 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 500 + -295. Let g(u) = 12*u**2 + 205*u - q*u. Let c(b) = b + 1. Let x(l) = 12*l + 11. Let z(v) = 22*c(v) - 2*x(v). Determine g(z(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:21 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 2. Let t(f) = -f + 1. Let y(n) = -i(n) + 6*t(n). Suppose 4*k + 76 = 100. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 54, 79, 122, 189, 286, 419?\n\"Answer: a**3 + 6*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -44. Let f(v) = -v - 2. Let o be f(-6). Calculate the highest common divisor of q and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353206 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i**2 + 259*i + 260. Let s be h(20). What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 173\/6, 0.4, 1\/4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.014 less than 10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -11\/4, -16.6, -1\/3, -0.02 in decreasing order.\nAnswer: 1\/3, -0.02, -1\/3, -11\/4, -16.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12502*k. Let f(v) = -12*v. Calculate g(f(b)).\nAnswer: -150024*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 m when four letters picked without replacement from {e: 2, v: 5, z: 2, m: 4, j: 2, f: 4}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -28115?\nAnswer: -28108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i + 4. Let k be y(-6). Suppose -4*d = -2*d - k. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 144*p**2 + 194224*p - 387840.\nAnswer: -4*(p - 202)*(p - 2)*(p + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -2 + (17 - 9 - (-33 + -4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 251*z - 371*z + 120*z + 14*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -1\/60*d**6 + 0*d**3 - 7*d**2 + 0*d + 1\/30*d**5 + 0 + 0*d**4. What is m(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -37 + 444\/(-27)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461463*j**3 + 1588*j**2 - 6*j.\nAnswer: 2768778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 29 - 422*s + 66*s + 58.\nAnswer: -356*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let d(b) be the third derivative of -b**5\/6 - 17*b**2. Calculate d(s(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:09 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210853160*h**6 - 458*h**2 - 40*h + 2415 wrt h?\nAnswer: -25302379200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1aca7 - -2?\nAnswer: -1aca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l + 0)*(352 - 15*l + 345 - 699).\nAnswer: 30*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 2)*(-212 + 1147 + z - 324).\nAnswer: 5*z + 3055","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 2*o - j, 0*o + 1080 = 5*o + 4*j. Calculate the highest common factor of o and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9 + 87*i + 51*i - 3 + 251*i. Let h be p(2). Suppose 4*j - 1254 = h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 18 + 18 + 4351*r.\nAnswer: -3*r**3 + 4351*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -811, -754, -697, -640, -583, -526?\n\"Answer: 57*p - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrbb when four letters picked without replacement from rrbbrbb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*t = 148 - 2523 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a - 13*a + a)*(-85*a + 79*a + 3 - 5)*(0*a**2 + 0*a**2 + 2*a**3).\nAnswer: 312*a**5 + 104*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*2*sqrt(72) + sqrt(72))\/(sqrt(36)*3 - sqrt(9)))\/((-1*sqrt(96))\/sqrt(6)*-3).\nAnswer: -2 - sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10078*y + 42513*y - 25204*y + 1 - 1 to s*y + w and give s.\nAnswer: 27387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**2. Let p(x) = -2970150*x. What is p(d(l))?\nAnswer: -41582100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134150 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 28*m + 121. What is g(-31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Suppose 2*i + 2*j = -6, -i + 3*j + 0*j = -9. Suppose i*s - 4*s - 4 = 0, 3*s = 2*z - 11. Let c(v) = -2*v**3 + 3. Calculate z*l(g) + c(g).\nAnswer: -2*g**3 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121 - -2.1.\nAnswer: -118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(26\/(-65)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -8, -2\/11, -2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 3, 16, -3, -1 in ascending order.\nAnswer: -3, -1, 3, 5, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -1\/3, 4\/7, -5, 0.038?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36748199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4980689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*u + 153*u - 25*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 350?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v = 2623 - 1887 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*f = -10, 2*a = 5*a - 5*f - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 - 1\/300*c**5 + 3*c**2 - 1\/600*c**6 + 1\/30*c**3 + 0*c + 1\/120*c**4. Let r(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -11, -4, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196886094.\nAnswer: 2, 3, 19, 1727071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16)*(-105560)\/(-3045)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjjjrejejwwwrjjwwj. Give prob of picking 2 e.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 26. Let i be s(9). What is the greatest common divisor of 11 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-18)\/10))\/(36\/(-108))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 2*p + 2*p. Let x(s) = -s**2 - 3. Let n(w) = 2*d(w) - x(w). Suppose 19 = -2*g + 5*i, g + 4*i = 8 + 2. Give n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 0*w**3 - 4*w**2 - 2 + w**3 - 2*w**3. Suppose 5*f = 2*r - 18, 2*f + 4*r + 4 = 8*r. Let t be f + 4\/1 + -3. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58761542.\nAnswer: 2, 7, 4197253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303 - -312. Suppose 4*o + 5*d = 3*o - 7, -o + 4*d + 11 = 0. Calculate the least common multiple of y and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 135. Suppose 0 = -n*h - 4365803 - 1682197. Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7563541531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2329 (b) 0.3 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -33 = -x*l + 39. Suppose -4*g + l - 10 = 0. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24*u - 1540. Let t be y(-64). Let q be ((-4)\/(-8))\/(2\/20). Sort q, 8, t, 0 in decreasing order.\nAnswer: 8, q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 3*s, -2*o - s - 2 = 0. Solve o = -7*p + 2*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/147? (a) 4\/5 (b) 5 (c) 1\/2 (d) -1 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 3. Determine d(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 8. Suppose v*i + k - 19 = -2*k, -29 = -2*i - 5*k. Which is the nearest to 0? (a) -4 (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*g - 92, -2*g + 100 = 4*z - 7*g. Solve 0 = -2*l - 3*l + z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v + 9 - 11 + 0 + 8. Let k be u(5). Let y = k - -42. Calculate the highest common divisor of y and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 38*g - 445. Let m be r(-23). Does -269 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*w + 734, -4*w + 4*p - p + 718 = 0. What is the remainder when w is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2425535 and 2425534 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18003 + -18000. Determine d so that 9\/2*d**4 + 0 - 15*d**h - 3*d + 27\/2*d**2 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7020 and 3861.\nAnswer: 77220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 3. Let k be d(-5). Suppose 4*l - k*l - 4 = 0. Find the third derivative of -z**2 - 2*z**5 - 2*z**2 + z**l wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -104479.55.\nAnswer: -626877.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10 + 2 = 4*q, 6 = -2*d - 3*q. Suppose -4*h = 3*g - 73, 3*g + 7*h - 4*h - 69 = d. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.033633866 - -0.03363. Round j to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1504*v**3 - 7796*v**3 - 1863*v**3 - 8781*v**3.\nAnswer: -19944*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -55*c + 53. Let s(h) = -229*h + 218. Let w(v) = 25*n(v) - 6*s(v). What is w(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 4*a + (0 + 0 - a)*(-2 + 4 - 4) - 2*a + 6*a - 2*a + 3*a + a - 5*a + 5*a - a - 2*a)*(-5 - 2 + 0)*(0 - 1 - 1).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18143 - -18158. Calculate the remainder when 86\/((-1)\/(1 - 2)) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*l + 357 - 714 + 357 + 102*l.\nAnswer: 523*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1285*p**3 - 4. Let k(q) = 5*q**3 + 1. What is 6*k(h) + l(h)?\nAnswer: -1255*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1810422440 rounded to the nearest 100000?\nAnswer: -1810400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 3. Let f be o(3). Suppose 4*w = 4*l - 44 + 116, -78 = -5*w + l. Calculate the highest common divisor of w and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 30 = -4*g, 0*g = -g - 3*z - 11. Let n = g + 7. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 3*i + 0*i - 11*i - 23*i + 6*i + (2*i + 4*i - 4*i)*(1 + 2 - 1) - 1 + 2*i + 1.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037 - 2*t**2 + 3*t**2 + 1037 + 0*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 331828 and 564676?\nAnswer: 955996468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.732 and -42797019.\nAnswer: -42797018.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*m + 209*m + 179*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 762529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338031168.\nAnswer: 2, 3, 103, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14559 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 5. Let d be c(4). Suppose 8 = -4*x, -2*u + d*x = 3*u + 14. Let t = 8 - u. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 898*d**2 + 63*d + 7. Let v(u) = -455*u**2 - 31*u - 3. Let t(k) = -3*j(k) - 7*v(k). Find the second derivative of t(g) wrt g.\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 923, 2\/7, -5\/2 in descending order.\nAnswer: 923, 3\/4, 2\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:49 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 161, -1\/3, -40.\nAnswer: -40, -4\/5, -1\/3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/294 and -71\/630.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a + 2. Let t(n) = -n**2 + 4*n + 2. Determine -5*f(d) + 6*t(d).\nAnswer: -d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 707070 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 6. Suppose -2*o = -3*o + 9. Let h = 11 - o. Let k(v) = -v**2 - v + 7. Let j be k(0). Let y(l) = -l + 2. Give h*b(q) + j*y(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**5 - 1982385*z**4 - 327450847896*z**3 + 12117681671628*z**2 - 117908069371776*z + 106117840530432 = 0?\nAnswer: -330416, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1709, -3415, -5117, -6815?\n\"Answer: 2*t**2 - 1712*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 8 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.6911 * 0.019\nAnswer: 0.0321309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {d: 3, k: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1321*j**2 + 5*j + 215. Let o(n) = 1322*n**2 - 6*n - 215. Let a(t) = 6*h(t) + 5*o(t). What is the derivative of a(x) wrt x?\nAnswer: -2632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21290, -42579, -63868?\n\"Answer: -21289*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-10)\/(-6). Let x = -9074\/21 + 432. Let p = -2.13 - -0.13. What is the nearest to q in x, p, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 14*o + 11. Let b(r) = 3*r**2 - 7*r + 6. Let d(z) = -7*b(z) + 4*x(z). Let g be d(-7). Suppose -3*t - g = 1. Put t, 0, -5 in descending order.\nAnswer: 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78057540 divided by 78846?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 6*w + 4. Let h be d(-9). Let q = 338 + h. Suppose 2*y - r = 231, r - 3*r + q = 2*y. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 69732*s - 1215637956.\nAnswer: -(s + 34866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -8. Suppose 0 = -3*f + 4*f. Suppose 4*l - 2*x - 56 = f, -3*l = -x - 29 - 11. Calculate the least common multiple of w and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 - 327*o**2 + 833*o + 498 = 0. Calculate o.\nAnswer: -166, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*9\/((-135)\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 3*x**2 + 4*x**2)*(2*x + 5*x - 6*x) + (556 - 556 + 56*x)*(-3*x + 5*x - x**2 - x**2).\nAnswer: -114*x**3 + 112*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 386.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259 divided by 6.\nAnswer: 259\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 659 + -713. Let k be 0\/(-5 + q\/(-9)). Solve b = -2*a + a + 4, k = -3*b + 2*a - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/27400 and 1\/30?\nAnswer: 82200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67815703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 51 = 4*s, -3*d = -4*s - 2*d + 33. Suppose -7 = -3*g + 2*y, -g - 4*y - s = y. Let c(r) = -6*r**2. Let b(n) = -n**2. Give g*c(u) - 5*b(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 2579. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 40 = -5*i, 2*i - 812*a + 808*a = 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278.012 - -18.1?\nAnswer: 2296.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 291, -4, -2, 2\/7, 0.235, -1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**5 + 435*h**4 - 3000*h**3 - 1650000*h**2 = 0.\nAnswer: -100, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.86 - -14. Let j = y + 2.76. Let p = -3.3 + j. Put 5, p, 0.2 in descending order.\nAnswer: 5, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llzbooolooozozxzoob.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j. Let l(d) = 22*d**2 + 18*d. Let u(p) = -72*a(p) - 4*l(p). What is u(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -3*y + 2*y, 2*y + 5*l = 24. Let v(s) be the third derivative of -s**6\/120 + s**5\/15 - s**4\/12 - s**3\/6 - 5*s**2. Calculate v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/8 - 703*d**2\/4 + 98431*d\/2 + 9241407 = 0. Calculate d.\nAnswer: -126, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05413485953 rounded to five dps?\nAnswer: 0.05413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4372*y**3*z**5 + 6*y**3*z**2 + 26*y**2*z**2 - 2*y**2*z - 7*y*z**2 wrt z.\nAnswer: -262320*y**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14346 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -8*d - 136. Find the common denominator of d\/(-33)*6 - (-1767)\/(-462) and -37\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 6, x: 1, u: 1, l: 7}. What is prob of picking 1 w, 1 u, and 1 l?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + -2)*(-1 + -1 - -3). Let h(d) = -d**3 + 4 + 3*d + 0*d**2 + 1 + 11*d**2 - 3. Let s be h(m). Which is smaller: 36 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -63. Suppose 3*v = -n + 56. Solve 0 = -4*x + v*m + 12, 5*m + 11 + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = -19*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 10?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 1, -0.1, -3, 16, 63, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i**3 - 82*i**2 - 19*i - 20. Determine f(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 89*y - 279. Let x be r(-3). Calculate the highest common factor of x and 2056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 639 from 1908420.\nAnswer: 1907781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58.5 and -4?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (19 - (-17 - -14))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 35*g - 843. Let v be u(55). Which is bigger: v or 1083?\nAnswer: 1083","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/(-150) + (1 - (-8)\/(-10)). Suppose 0 = 15*p - 11*p + 16. Which is the fourth smallest value? (a) 1\/6 (b) w (c) p (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 2125768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -37. Solve -4*j + i - 2 - 3 = 0, 4*i - o = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 24. Calculate the common denominator of (-2)\/((-20)\/17)*2 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-56))\/((-3)\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 8*o + 6. Let r be (90\/25 + -6)\/((-4)\/10). What is u(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4128 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffv when three letters picked without replacement from {v: 1, f: 2, z: 2, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -1.839 (c) 0.9 (d) 6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31318 and 40266.\nAnswer: 281862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 17605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2638 - 2638 + 104*h**2.\nAnswer: 104*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -141648 (b) 3 (c) -3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123428506 rounded to 3 dps?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -33. Are 1\/2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 16) to base 3\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*y + 193, -y + 4*x + 126 = -3*y. Let q be 10\/y - (-84)\/39. Suppose -13 = -3*p + q*i - i, -3*i = -4*p + 19. Solve 0 - 12 = p*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - -2*(sqrt(363) - (sqrt(363) + -2)))**2 - ((1*sqrt(363))**2 + 3))*-3 + ((1 + sqrt(363))*-3 - (-1 + 5*sqrt(363))**2).\nAnswer: -9118 - 187*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 1770\/17. Which is the closest to -0.1? (a) h (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 686327556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354669, -709336, -1064003, -1418670, -1773337?\nAnswer: -2128004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*j**2 + 2*i**3*j - 1732*i*j**2 + 2758*i*j wrt j?\nAnswer: -2*i**3 - 3464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1694, -1\/34, 3 in descending order.\nAnswer: 3, -1\/34, -1694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003510384 to six dps.\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/14730 and -167\/168.\nAnswer: 412440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(119) - (sqrt(119)*-2 + sqrt(119)))*3*5)\/(sqrt(84)\/(-2*sqrt(1728) + sqrt(1728) + sqrt(1728) - sqrt(1728))*-5).\nAnswer: -432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28317688 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:13 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 14*r - 5*k + 905, 3*k + 921 = -5*r. Is -183 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8212 - b**2 - 8212)*(0 - 1 - 4)*(-b + 4 - 4).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = 4*q, -3*k - q - 4 = 0. Let v(s) = -s**2 - 5. Let t be v(k). Suppose w - 2 = -5. Put t, 1, w in increasing order.\nAnswer: t, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425065312 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 11*s**3 + 29*s**3 + 26 + 38 - 96.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -44*x - 2284. Let n be r(-54). Solve -42*b + 34 = -n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 24, 75, 168, 315, 528?\n\"Answer: 2*k**3 + 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1307371*l**2 - 608464*l?\nAnswer: 2614742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493322 is divided by 164435?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 767767 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17822888 divided by -8?\nAnswer: 2227861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7929 - g + 7929. Let z(v) = 37*v**2 + 2. Give x(z(o)).\nAnswer: -37*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away -5330.3?\nAnswer: 5331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.5 + -20. Let l = u + 4.5. Which is the third biggest value? (a) l (b) -4 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = -4*m - 6, -5*c + 2*m = 2. Solve 16 - 6 = 4*w + 5*i, c = -2*w + 4*i - 34 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002615367 to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14728*n - 211715. Let p(r) = 2*r - 23. Give -3*h(b) + 27615*p(b).\nAnswer: 11046*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -148 - 62*j - 68 - 24 + 52 - 44. Is d(-8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 4*g**3 + 2*g**3)*(-14*g + 10*g + 7*g + 8*g**2).\nAnswer: 16*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13859 - -49926. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i = -98. Let q(d) = d + 11. Let t be q(-15). Let k be (t\/i)\/(11\/7 - 2). Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2383 = 597*z, -43*z + 123*z - 3*o + 7 = 39*z + 43*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -126\/13 (b) -1 (c) 0.3 (d) 6 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*g = 1662523 - 37463253. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 - t**2 - 2*t + 1. Let r be q(1). Let y be 12\/((-8)\/2)*(r - -4). Suppose c + 0*v = -v + 73, y*c + 2*v = 217. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131966968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221 - 251 - (-12 + 0 + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -711466, -711484, -711502, -711520, -711538?\n\"Answer: -18*p - 711448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -1.2. Which is smaller: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44946 by -441.\nAnswer: 4994\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j + 56*j = -m - 32173, -m + 80429 = 5*j. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65673 - -155368. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by -195?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 724415243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1597 + -1597. Which is the biggest value? (a) y (b) 1\/3 (c) 0.4 (d) -44\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5433? (a) 1\/9 (b) -6 (c) 1165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -4*z. Sort -0.1, 5, z in increasing order.\nAnswer: -0.1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - z**3 - 7*z**2)*(-3*z + 2*z + 2*z + z - 1 + 1 + z + 0 + 0 + z + 2 - 2 + (-2 - 2 + 2)*(-3*z + 4*z - 2*z) + z - z + z).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321484 is divided by 18910?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 7*h**3 + 8*h - 6*h**2 - h. Let o(t) = -13*t**3 - 4*t**2 + 13*t. Suppose 47*b - 285 - 117 = 115. What is b*p(g) - 6*o(g)?\nAnswer: g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, 1 n, and 1 u when four letters picked without replacement from {n: 2, b: 8, s: 1, u: 1, l: 5}?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let g = -2037 + 20373\/10. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65848*q - 9834*q - 389532*q - 522126*q.\nAnswer: -987340*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.076 and 24\/239 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 458133 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 2, k: 6, b: 2, g: 1, s: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by 409.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 213026 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (158\/316)\/(3\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48350 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -34, 0, 19, 10, 2 in increasing order.\nAnswer: -34, 0, 2, 4, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 5*n. Suppose 4*z + 3*c - 9 = -n*z, 16 = 4*z - 4*c. Solve -8 = -t + z*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 18. Let h = 112 - a. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57005 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68983 or 8208992\/119?\nAnswer: 68983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -3*p - 5*y, 6204*p - 6200*p + 20 = 4*y for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:07 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2511036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/77*6\/18.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1544*z - 4335*z + 3601*z.\nAnswer: -2278*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -29*y**5\/20 + 6*y**2 + 19*y. What is the first derivative of q(k) wrt k?\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = x - 23309 + 23228, -x + 17 = f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 + 2*q + 6. Let w be (-9)\/(-2)*2\/3. Let z be (-9)\/(45\/(-12) + w). Suppose z = -h - 2*h. What is i(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611823.\nAnswer: 827, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13757 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: Three letters picked without replacement from tttbbttbbbbbbbbtbb. What is prob of picking 3 t?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 476*i**2 + 10*i + 13. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 11)*1*2 - 1. Let c be 9\/(-168)*2 + h\/36. What is the biggest value in c, -1, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2236975, -4473968, -6710961?\n\"Answer: -2236993*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -149a1c2 (base 13) to base 3\nAnswer: -110101212121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 632333 to the power of 1\/2, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.055 kilometers in nanometers?\nAnswer: 708055000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from mmmymmymmyyyyyymymy.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5454, 5442, 5414, 5370, 5310, 5234, 5142?\nAnswer: 5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1\/z**(2\/11)*z**(-2\/35)*z**(1\/31) assuming z is positive.\nAnswer: z**(9468\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/6 - 3*z**2\/2 + z. Let q be s(6). Solve -3*m + 9 = a - 4*a, a + q = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:28 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.413 in 3, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55171\/8 + -6896. Find the common denominator of r and 24\/545.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 7. Let r be z(-6). Solve 2*v - r = -0*v + g, 3*v + 2 = -g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4*j + 4*j + (-1 + 6 - 3)*(1 - 1 - j) + 21*j - 10*j + 8*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 3*p - 14. Let r be b(6). Put -2, -0.4, 1, r in decreasing order.\nAnswer: r, 1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 1\/12 (c) -0.2 (d) 12 (e) -1 (f) 0 (g) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*x = 19, -2*x + 30 = 4*r - 4*x. Suppose 3*c - 4*c - 4*k - 16 = 0, 5*c - r = 2*k. Let g = -983 - -985. Solve u - g*u - 4 = c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 10 - -4 - -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q**2 - 23*q**2 + 35*q**2 + (q**2 - q**2 - 2*q**2)*(3 - 3 - 1))*(-6*q + 2*q + q).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 1626480460788?\nAnswer: -1626480460803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 + 33*m**2 + 41*m - 26. Let q(b) = -31*b**3 - 99*b**2 - 122*b + 81. Let g(n) = 17*d(n) + 6*q(n). What is g(34)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 182415377 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*m**3 - 2036*m**2 + 3224*m + 1616 = 0. Calculate m.\nAnswer: -2\/5, 2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -483889\/26 - -18608. Calculate the common denominator of 93\/22 and j.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99, -103, -107, -111?\n\"Answer: -4*b - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:34 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 264?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 2*v**2 + 2*v**2 - 2*v**2 + v**3 + 2*v**2 + (-33 + 33 + 9*v**2)*(2*v + 0*v - 8*v).\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/12 - 12*z - 12. Let q(u) be the first derivative of r(u). Let y(p) = -8*p**2. Give y(q(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(4*sqrt(160)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 107*u**2 + 1672*u - 7. Give k(-88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 + 4885*h - 34189. What is w(7)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.8 + 6. Let v = m + 5.8. Let r = 5.8 - 6. Put 0.1, v, r in descending order.\nAnswer: v, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*165\/22. Solve 3*x + 16 = x + 3*t, -2*x - f*t = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/12 + 3*x**3 + 17*x**2\/2 + 8*x. Let q be j(19). Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 360 + -181. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 82. Which is smaller: 1\/15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2088.6 + 2089. Let p = -0.17 - -0.2. Let h = p + 0.07. What is the closest to -4 in h, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3112 - -3050. Put u, -4, 85 in increasing order.\nAnswer: u, -4, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -802 (b) 1 (c) 182 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4708 and 799978652?\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -69 in increasing order.\nAnswer: -69, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, f: 3, o: 2}. What is prob of picking 2 o and 2 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (274 + -264)*(2286\/(-90) + 17)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-36) + (-52)\/(-9). Let m(l) = 2*l**2 + 2502*l + 10003. Calculate the common denominator of 40\/k - (-3)\/6 and m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*v**2 - 442556*f**2*v + 200815*f*v**2 + 11*v wrt v.\nAnswer: -10*f**2 + 401630*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-12)\/(-10)*(-15)\/(-6) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 29866, 4 in decreasing order.\nAnswer: 29866, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-10848)\/(-75) + (-28)\/(-350). Calculate the greatest common factor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/10 + v**4\/3 - 13*v - 6. Factor w(m).\nAnswer: -2*m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 209 + 5?\nAnswer: 20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3 + 8\/(-3)). Let a = 4 + d. Suppose -3*w + n = -2*n - 57, -3*w + 62 = -a*n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1206 divided by -37.\nAnswer: -1206\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 divided by 4?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 46. Let y(n) = -n + 21. Let m(w) = -4*k(w) + 9*y(w). Determine m(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 m when four letters picked without replacement from mhmhmmccmmmymymhmym?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 341 = -0*w + 4*m, 4*w + m = 1409. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 24 = 4*x - 5, 3*x - 5*g + 18 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/24 + 4*z**3\/3 - z**2 - z. Let y(v) be the first derivative of b(v). Let n be y(8). Is -2\/9 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 25. Calculate w(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266 = 533*m + 759 + 2772 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kyykkykkyyyykk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 7*d - 10. Let i be g(-8). Let v be (-142)\/666*(-15)\/(-5)*1. Let u = v - 1\/37. Which is the nearest to -2? (a) 1 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*h - 123685 - 129595 = 0. What are the prime factors of h?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3621 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26474897 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(4\/7)\/(x*x**(-6)\/x*x)**(-3\/5) assuming x is positive.\nAnswer: x**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0*m**2 - 3*m - 4*m**2 + 4*m**2 + 5*m**2. What is the tens digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 1 c when three letters picked without replacement from {c: 4, d: 5, a: 1, h: 3}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (145 + -11)\/((-4)\/(-26)). Suppose 12*j = 2491 - h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/7469812?\nAnswer: -1\/7469812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (0 + 5)*1. Let v be (i - 0)\/((-2)\/11). Suppose -2*w = -2*c - v, -w = w + 4*c - 46. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(200) + sqrt(200)*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -48. Let l(t) = -t**2 + 6*t + 5. Let h be l(7). Is h\/(n*(-4)\/(-128)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1138609 and -145\/11628.\nAnswer: 778808556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7*j - 34902 = 10*j, 0 = 3*l + 2*j - 34892. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 4) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24570 divided by -1\nAnswer: -24570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1741 = 5*y + s, -5*s - 21 = -1. Let u = y - 345. Solve 4*h - 3*h = u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**13\/y*y*y*y**(-22))\/((y*y**(2\/5)*y*y)\/y**7))**(-20\/3) assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18154 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p**2 - 5089*p + 29915. Give q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -506*y + 6062. Give r(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230965 is divided by 1230914?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*sqrt(44)\/sqrt(36) + -4 + (5*-2*sqrt(66) + sqrt(66) - sqrt(66))\/(sqrt(18)\/sqrt(3)*4).\nAnswer: -7*sqrt(11)\/2 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 565. What is the derivative of 438*g - 6*g**2 - 2 - t*g wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26190, -52057, -77924, -103791, -129658?\nAnswer: -155525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 5*q)*(2*q - 5 + 5) + 1 - 1 + 2*q**2 + (-3*q**2 + q**2 + q**2)*(-3 + 2 + 0).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 + 5*o - 1\/4*o**5 + 0*o**4 + 0*o**3 - 5\/2*o**2. Find the first derivative of r(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93191\/8 at least 11649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695159953.\nAnswer: 571, 1217443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*g**3 - 437*g**3 + 750*g**3.\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - 4*r + 4*r)*(2*r**3 + r**3 + 0*r**3).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 3*f - 44. Let l be d(6). Solve l = -m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -100*g + 598. Solve 29 = -5*f + 4*w, 2*f - 18 = g*f + 2*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 169. What is j(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/4*14\/21 + -280 + 281\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 182*r - 19412. What is m(63)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-8)\/56 - -1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4113083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z - 8. Let y(k) = -20*k - 7. What is 5*m(b) - 6*y(b)?\nAnswer: 15*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*n - 161, -5*n + 17 = z - 24. Suppose -2*t = -t + 2*w - 11, -5*w - z = -4*t. Let g(h) = -h + 31. List the prime factors of g(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.477 - 0.577. What is the biggest value in -2\/3, 2\/5, k, -0.025?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4188 + -4068. What is the greatest common factor of 555 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 3, 38.\nAnswer: -1, 3, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 46\/5, 2\/9, 2\/3, -1\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + p + 9. Let c(m) = -2*m**2 - 6*m + 11. Let v(o) = o - 1. Let y(n) = c(n) + 6*v(n). Let q(k) = -5*y(k) + 3*z(k). Solve q(s) = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.4179888 - -26.418. Let j = z + -16. What is j rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s**2 - 87*s + 10. Determine v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 11}. Give prob of picking 1 r and 3 i.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1765*i**2 - 13 - 21*i - 14*i - 22 + 43 wrt i?\nAnswer: -3530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.59 plus 729.823?\nAnswer: 627.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82902 and 77490?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/209 (b) -9 (c) 2 (d) 70 (e) 3\/7 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 5\/24*x**4 + 10*x**2 + 0*x**3 + 0 + 0*x**5 + 7\/120*x**6 + 0*x. What is the second derivative of s(g) wrt g?\nAnswer: 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 17*b**2 - 16*b + 44. Let w be v(-18). Solve w + 7*z**3 - 9*z**3 - 6*z - 10*z**2 + 10 = 0 for z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -75203\/8 and -9399 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/9)*s**15)\/((s**(-20)*s)\/(s**(1\/4)*s)) assuming s is positive.\nAnswer: s**(1313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6114332 to the nearest ten thousand.\nAnswer: 6110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 1\/12*l**6 + 0 + 0*l**3 + 4\/105*l**7 - 1\/15*l**5 + 0*l + 35*l**2 + 0*l**4 - 1\/56*l**8. Find u such that p(u) = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcceqeybclb. Give prob of picking 1 e and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*g**2*i*v**2 + 2*g*i*v**2 - i*v**2 - 82*i + 2*v wrt g.\nAnswer: -124*g*i*v**2 + 2*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -103392\nAnswer: 51696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*u + 577*u + 107*u - 260*u.\nAnswer: 800*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -4*d + 25*d + 81 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2 (b) -0.3 (c) -2 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 18*o - 620. Does 14 divide r(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 28959906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-75)*-9 + 124\/60 + -4\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 901 - 900.5. What is the closest to -2\/5 in i, -0.15, 4\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*m - 407*m + 132*m + 32 - 29 + 131*m.\nAnswer: -23*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 58*f - 7779 = -61*f, 5*m - 7777 = -4*f. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19016593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1)*(-8 - 1). Let y be (a - 26)*(1 + 4). Solve 2*f - y = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s - 6. Let o be z(8). Let y(t) = t - t**3 + 7*t**2 - 13*t**o - 3 + 3*t**2. Give y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 28*o**2 + 94*o - 23. Let r be f(31). What is the greatest common factor of r and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59476, 59466, 59450, 59428, 59400?\n\"Answer: -3*j**2 - j + 59480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136804 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104 and -0.6.\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 0. Suppose h - 3*t - 14 = j, -4*h - 2*t = 2*t + 8. Put 3, h, 0.2 in increasing order.\nAnswer: 0.2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/10)\/((195\/26)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 5 (b) -2\/11 (c) 973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541021, -541024, -541027, -541030, -541033?\nAnswer: -541036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n - 338 + 104 = 241 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:37 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -63\/10204?\nAnswer: -63\/10204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*h**3 + 182\/3*h - 8\/3*h**2 + 980\/3.\nAnswer: -2*(h - 10)*(h + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 + 0 = 0. Suppose 5*o = 2*o + 4*t + 50, 56 = 2*o + z*t. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k*t**2*v**3 - 5355263*k*t*v**3 + 37981449*k*t + k - t**2*v wrt v?\nAnswer: 18*k*t**2*v - 32131578*k*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 6, d: 1, j: 1, e: 4, s: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -345228 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*j*k + 8*d**3*k**2 - 8*d**2*j*k**2 + 2*d**2*k - 2*d**2 + d*j wrt k.\nAnswer: 16*d**3 - 16*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(16\/(-288))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h + 7. Let m be w(0). Let a(g) = 4*g + 5. What is the smallest common multiple of a(m) and 868\/49 - (16\/(-28))\/2?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {m: 1, h: 1, u: 6, l: 5, s: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, z: 3, p: 4, y: 7}. Give prob of sequence zzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s. Let d be t(-1). Suppose 0 = d*r + r - 68. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2 - 31*f**6 - 27 + 5*f**6 + 155*f**5 - 155*f**5 wrt f?\nAnswer: -3120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -182, -261, -324, -365, -378, -357?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:20 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(76)*-2 - sqrt(76)) + sqrt(76))\/sqrt(4)) + sqrt(19) + -1.\nAnswer: -1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 19*a. Let d(f) be the third derivative of 37*f**4\/24 - 6*f**2 - 10. What is b(d(c))?\nAnswer: 703*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**5 + 2*v**4 + v**2 - v + 1. Let y(m) = -5*m**5 + 5*m**4 + 3*m**2 - 24*m + 3. Let l(p) = -3*b(p) + y(p). Find the second derivative of l(j) wrt j.\nAnswer: -40*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*3*((sqrt(1100) + 1 + 4 - (1*sqrt(1100) + 1)) + 2)*-5.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 b, and 1 j when four letters picked without replacement from xjjjjbbbjxxx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 31.44?\nAnswer: -25.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9480 divided by -40.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/243)\/((-3)\/(-117))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*c + 50 = -127*c. Let s(h) = 35 + 14*h**2 + h**3 - 4*h + 11*h**2 + 2*h. Calculate the remainder when s(c) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5868 and 5216.\nAnswer: 46944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(48)\/sqrt(3))\/(sqrt(2)*-2*5))\/((-2*sqrt(28)*5)\/(sqrt(343) + sqrt(343) + sqrt(343)*2)).\nAnswer: -21*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 + 0 - (1 + -7 + -15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3*k - 7 + (-3 + 4 + 1)*(-3*k + 5*k + k) as c*k + h and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2004206 - 2?\nAnswer: 2004204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239\/2*(-4)\/(-2) - (72 + -79) and 45.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 40 = 64. Suppose -2*g + o = -17 + p, 0 = g + 4*o + 16. Suppose 3*h - 4*s - 19 = -5, -3*s - 6 = 0. Put g, h, -3 in decreasing order.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 250819*u\/2.\nAnswer: u*(u + 250819)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.1 + -44. Let x = 641\/7 + -91. Let j = 8 + -13. Which is the closest to y? (a) j (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1)\/(3*sqrt(27)))**2 - ((sqrt(70) + (sqrt(70) - (sqrt(70)*1 + sqrt(70))) + sqrt(70))*-2)\/((-2*sqrt(70) - sqrt(70))\/sqrt(7)).\nAnswer: -2*sqrt(7)\/3 + 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**3 - 6*q**3 + q**3)*(-2*q + 6*q - 17*q + (-4*q - q + 6*q)*(2 + 0 + 0))*(9 + 60 + 70) to b*q + n*q**4 + v*q**3 + o*q**2 + p and give n.\nAnswer: 4587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 134, -9 in ascending order.\nAnswer: -72, -9, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (7 + 3 - (-11 + -4 + 21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2\/7 (c) 0.1 (d) 7\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44991890 + 146960.9.\nAnswer: -44844929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/8)\/(4\/(-16)). Does 12 divide 5\/(u\/(-9))*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Calculate the remainder when (-48444)\/(-5872)*16\/6 is divided by n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 42. Suppose -4*s + 3*n + 24 = 0, 6*n + 28 = 4*s + 2*n. Suppose a*i = s*i + 21. Solve -i = -h - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 1738, 7097, 17938, 36127, 63530?\nAnswer: 102013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 32cc8?\nAnswer: 32cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 19*z - 155. Give j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9479955 and 6327.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*90\/(-144)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-798)\/(-26) - (-2400)\/1040 - -14.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*x**2 + x**2 - 86*x**2 + 20*x - 3*x**2 - 20*x + (-2 + 1 + 0)*(2*x**2 + x**2 - 2*x**2) as c*x**2 + g + b*x and give c.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8320187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:08 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -3.3\nAnswer: 0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u + 3*u**3 + 122*u - 46*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 8 - 29 - -104 - 31?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 875 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdefecceeccceeeec. Give prob of picking 1 d, 1 c, and 1 e.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*p + 1306810 = 7580687. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a**2)*(-4 + 8*a - 21*a + 3*a).\nAnswer: -10*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -148\/1391?\nAnswer: -148\/1391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 49.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 11 (b) -0.7 (c) -2.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 835 or 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1460)\/(-25) + (-2)\/5. Find the common denominator of 115\/24 and (1*l\/6)\/(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 + -4 - (1 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9996.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -27. Let u(p) = p + 1. Let n be u(-2). Sort q, n, 1 in descending order.\nAnswer: q, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (590\/354)\/(3\/((-252)\/(-20)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.984 - -35. Let r = 0.014 + y. Put 1\/5, r, 3 in increasing order.\nAnswer: r, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2408 and 44.\nAnswer: 26488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Suppose 4*m - 884 = 280. Is 2\/(6\/m)*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d = -111, 333 = 3*f + d - 3*d. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let x = 12 - i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 15336.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32825?\nAnswer: 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 7*q + 5. Let d be m(-6). Let a(w) = 4*w**2 - w - 1. Let j be a(d). Differentiate -o**2 + o**2 + j*o**2 - 2 with respect to o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 4*i + 1. Suppose -4*f = 2*n - 112, -4*n = -4*f + 3*f + 19. Suppose 32*x = f*x + 15. Determine z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9825416 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**6\/10 - 3*v**5\/5 + v**4 + 18*v. Let w(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6061 - 5543 = -12*k. What is k rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 14. Let v be (5 - 2)\/1 - 0. Let h be (-4 + v)\/(3 - (-4)\/8). Which is the second biggest value? (a) -3 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -46. Suppose -9*o = -b*o + 406. List the prime factors of o.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*(-11 + 5). Suppose 19 + 26 = f*u. Suppose 4*q - u = 2*z + 43, -2*q = 3*z - 25. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273114.999 - 1272605. Let b = w - 509. Let a = -0.001 - b. What is the fourth biggest value in a, -1\/6, 2, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2448) + 0 - sqrt(2448))*4 + -3 + 2 + sqrt(2448) + sqrt(2448))**2 + 3.\nAnswer: -48*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1269943501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 1457170520?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 0 + (6 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b - 1862822 = -1862787 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 12. Let f(d) = 86 - 159 + 73 + d. Determine f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -eb (base 16) to base 3.\nAnswer: -22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8496 - -0.0096. Let p = 3.84231 + t. Round p to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/3 - 2*q + 1489. Let s(x) = 694*x. Calculate s(r(o)).\nAnswer: -2776*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 78 = -2*r, 4*r - 3*m = 2*m - 146. Let k be (-2)\/8 + r\/(-8). Suppose -k*f = -s - 11, 5*f - 23 = -s - 7. Solve 2*h + s = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -17*q**2 + 2*q. Let z be 991\/6 + (-48)\/(-120)*(-15)\/36. Let j(m) = 1395*m**2 - 165*m. Determine z*g(y) + 2*j(y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**2 + 16*s**2 + 11*s**2 + 120 + s**3 - 620.\nAnswer: s**3 + 4*s**2 - 500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/4) + 4\/(-2). Suppose 0*n - 2*n = -a*n. Suppose n = 4*y + 4*h - 87 + 19, -5*h = -2*y + 69. Solve 3*o + b + y = -4*b, 6 = o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -16.1079?\nAnswer: -16.1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21120 (base 4) to base 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 190.66 * -0.13\nAnswer: -24.7858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 2\/105*q**6 + 9\/35*q**5 + 0*q**2 + 5\/7*q**4 + 53 - 50\/21*q**3 - q. Suppose f(p) = 0. Calculate p.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 - (-1312)\/80)*(-2 + 0). What is the nearest to -1 in -2\/5, 31, h, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**30)\/u**11*(u*u**(-6))**(-6\/11))**(-41) assuming u is positive.\nAnswer: u**(-10250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 - 222. Let y(q) = -5*q + 4*q + 7*q**2 + 5*q - 4. Let z(n) = -11*n**2 - 6*n + 6. What is g*y(d) - 5*z(d)?\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1117\/7 - -160. Let v = x + 5\/21. Let a = 1 + -0.8. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2 + -2 + 1). Suppose 5*w + 12 - z = 0. Sort w, -1, 2 in decreasing order.\nAnswer: 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(1440))\/((-2*sqrt(88))\/sqrt(11)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 64. Suppose 6*t = i*t - 171. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5444075 and -79\/4900.\nAnswer: 152434100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let h = 9 - 14. Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(-1)*28\/(-21). Let u(q) be the first derivative of -1\/16*q**4 - q**v - q - 5\/12*q**3 + 1. Factor u(j).\nAnswer: -(j + 1)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 24\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 4*a)*(1 - 117*a + 75*a + 99*a) + 4*a + 0*a**2 - 7*a**2 + 8*a**2.\nAnswer: 58*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34534, -34500, -34416, -34258, -34002?\nAnswer: -33624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-20))\/(7\/(-112)*8*1). What is the nearest to 1 in u, -2, 2\/11, 70?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - k**4 + 2*k**4 + (-6*k + 5*k + 3*k)*(-2*k**2 + 2*k**3 + 2*k**2) + 58*k + 12*k**4 - 58*k - 72 - 13*k - 22*k + k**4 + 74.\nAnswer: 16*k**4 - 35*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/353, -2, 0.3, -4?\nAnswer: -2\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6198 - 4289. What are the prime factors of q?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 274*o - 11160. Give s(-40).\nAnswer: 3000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -399280 divided by 70?\nAnswer: -5704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/((-13)\/2) - 2. Solve s*q - 7 = 3*j + q, 4*j + 6 = 2*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*8\/10. Let a(u) = -4*u**2 - 3 + 4*u**r - 3*u**2 + 9*u + 4*u**2. Is a(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/4)\/((-1070)\/(-20)). Let a = -1149\/428 + w. What is the common denominator of a and (3\/(36\/(-70)))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1564 + -1569. Let j = -3.2 + 0.2. Sort j, -1, w, 5 in increasing order.\nAnswer: w, j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, -13, 1\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 28. Suppose 0 = -z - 3, -4*o + 3*z + 112 = -s. Calculate the remainder when 110 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus -0.112?\nAnswer: 19.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286520000 rounded to the nearest one million?\nAnswer: 287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142576*f*u + 2*f + 16*u**3 + 1188768 wrt u.\nAnswer: -142576*f + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 88*y**2 + y - 1. Let h be m(1). Suppose -4*g + h = -684. List the prime factors of g.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:42 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.5. Let o = s - -0.4999992. Round o to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65\/6 in 8715, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -6)*(-1)\/1. Suppose 5*o + b*m = 110, 2*o = -4*m - 0*m + 58. Solve -5*q = 2*f + o, -2*f + 6*f - 17 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/5)\/(-42))\/((-18)\/1215*-10)*2.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 501999637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 58, 93, 130, 169, 210?\n\"Answer: f**2 + 30*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 24. Let w(j) = 4*j + 116. Let q be w(-26). Suppose q*l = -2*d + 8*l, 2*d = 2*l. Solve -g = -d*i - 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3822 divided by -2\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/18)\/(2\/6). Let x(n) = n**2 - n - 1. Let u be x(r). Suppose -4*p + 9 - u = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -1426?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(16\/(-15))*20\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 2. Let h(v) = -5*v**2 - 3*v + 8. Let i(k) = -h(k) + 6*z(k). Let r be i(9). Solve r*a = a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 38, -2\/11, 2\/3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 5*z - 4. Let w(y) = 2*y + 18. Let r be w(-12). Let d be g(r). Suppose 4*t**2 - 9*t**3 + 5*t**2 - 5*t + 3*t**4 + 4*t - d*t = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.005 or -3\/74?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*o. Suppose -5*d = -2*y - y + o, -5*d + 1 = -2*y. Suppose -4*f = 5*l - 22, -5*f - d = -5*l - 6. Calculate the least common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877502 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from wmkwcymmkkg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 + z**4\/8 + z**3\/3 + z**2. What is the remainder when 21 is divided by o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -689 - -1274. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9488\/9 (b) -146 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprrrpprrprr. Give prob of sequence ppp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 557995*c - 262799460.\nAnswer: 5*(c - 112068)*(c + 469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1524 + 494 = -5*j, 4*j + 186 = y. Suppose 0 = y*p - 196*p - 18. Let -4\/3 - 80\/3*o**2 + 32\/3*o**p + 34\/3*o = 0. Calculate o.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-20) + (-4 - 69\/(-15)). Let z be 1 - v\/5 - -3. Suppose r + 9176 = z*q, -7*q + 2*q = 5*r - 11445. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 105 = 3*n + d, -252*n + 4*d + 682 = -482 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -5*c, -5*c = 3*x + 150. Let v = x - -64. What is the remainder when 54 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 + 9*v - 1. Let c(k) = -k**2 - 11*k - 10. Let t be c(-9). Let m be z(t). Suppose 3*b + 2*b - 3*q = 8, -2*b + 2*q = 0. Is b less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + d - d + 2*d)*(2*d + 3*d - 4*d).\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**(23\/2)\/l)\/l)))\/l**(1\/13))**(-30) assuming l is positive.\nAnswer: l**(-3675\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 68, 13, -5\/6, 2, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 36*s**3 - 34*s + 35. Does 22 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 5\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3009 - 3119. Is x greater than or equal to -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11447 - 9671. What is the highest common factor of 222 and q?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggtggggtgttggg. Give prob of sequence tgt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + p + 3. Let o be d(2). Let w(b) = b**3 + 26*b**2 + 26*b + 53. Let q be w(-25). What is the highest common divisor of o and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/y**5)\/((y*y*y*y*y**(-4)*y*y*y)\/y**(-2)) assuming y is positive.\nAnswer: y**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 + 3 = 0. Suppose -28 = -0*i - i + 4*a, c*a + 122 = 5*i. Suppose -z = -10 - i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3, 3, 1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 8, e: 5}. Give prob of sequence eer.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 519397264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 32*c + 580. Let u(l) = 37*l + 580. Give -7*r(o) + 6*u(o).\nAnswer: -2*o - 580","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120012 divided by 3.\nAnswer: 40004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551.77 + 552. Let v = 3.3013 - 0.0713. Let y = v - h. Is y less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3582277 or -3582272?\nAnswer: -3582272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 378, 0, -5, 0.14, 3\/8, 3\/4 in descending order.\nAnswer: 378, 3\/4, 3\/8, 0.14, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + h - 1. Let d(p) = -35*p**2 + 220*p - 155. Let s(l) = 3*l**2 - 20*l + 14. Let z(m) = -6*d(m) - 65*s(m). What is -20*y(b) - z(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424 - (-5 + 2) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 4*a**3 + 2*a - 2*a**3 - a**3 + 3*a**2 to the form c*a**3 + q + w*a + m*a**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2899199*o**2 + 789*o - 484.\nAnswer: -5798398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 2*c - 1 + 3 + 2. Let d(w) be the second derivative of -w**3\/6 - w**2\/2 + w. Calculate 2*d(s) + m(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16\/30*570\/38\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, -6.3, -0.6, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i - 11. Let t be ((-14)\/(-6) - 1)*6. Is o(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goo when three letters picked without replacement from gonognaannnnnn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/375*10\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/(2\/(-10)). Let b(p) = -p**2 + 7*p - 3. Let r be b(6). Suppose r*m - o = 16. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5751*c**2 - c - 3803*c**2 + 1603*c**2 + 7137*c**2 + c)*(-2*c**2 + 2*c**2 + 3*c**2).\nAnswer: 32064*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25037531, -25037527, -25037521, -25037513, -25037503?\nAnswer: -25037491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and 0.226208 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 0.3 (c) 3\/7 (d) 2 (e) -3 (f) -5 (g) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*j - 25*j - 20*j - 20*j - 20*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2324, 4538, 6656, 8678, 10604, 12434?\nAnswer: 14168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 392. Let r(d) = -13*d. What is r(z(f))?\nAnswer: -26*f - 5096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6655730 - 15*h**2 + 6655730.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57733 (base 9) in base 13?\nAnswer: 146ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 192 = 228. What is the smallest common multiple of v and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 720578376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 + 52*u**2 + 25*u**2 + 190*u**2 to the form g + k*u**2 + r*u and give k.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + b**2 + 4*b - 3. Let p be d(2). Let o = 80 - p. Let z = o + -10. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -17143?\nAnswer: 1\/17143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((f\/(f*f\/(f*f*(f\/f**4*f)\/f)))\/f)\/f)\/f)\/f)\/f)\/(f\/(f\/f**(2\/23))))\/((f\/(f\/(f*f**(-1\/5))))\/f**(3\/5)) assuming f is positive.\nAnswer: f**(-838\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*n**2 + 2*n**2 - 5*n**2.\nAnswer: -15*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 21. What is the nearest to 0 in 0.5, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -3 (b) -4\/11 (c) -5 (d) -6 (e) 0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*c, k = -8*c + 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 - 9*h**2\/2 + 2*h. Let q be i(-12). Suppose 0 = -2*s - q*s + 280. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 31. Let f = 8830 - 8812. Determine j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.089574 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 206, 604, 1002, 1400, 1798?\n\"Answer: 398*i - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgu when three letters picked without replacement from {c: 5, o: 1, g: 2, u: 7, b: 2, e: 3}.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 - -1273. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45713788?\nAnswer: 2, 23, 496889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Let v = -3092 - -3091.8. Which is the closest to 1\/2? (a) -2\/5 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/420 + d**6\/60 + 4*d**5\/15 - 993*d**2. Factor h(z).\nAnswer: -z**2*(z - 8)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 505, 624, 791, 1006?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*h - 6 = 0, 0 = -2*m + 2*h - 5*h + 6. Suppose 1 - m = w - x, -5*x + 31 = 2*w. Solve w = f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -330 + 316. What is the nearest to b in -1\/34, 0.3, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79622, -318540, -716754, -1274264, -1991070, -2867172?\n\"Answer: -79648*g**2 + 26*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.98 + -42. Which is the third biggest value? (a) -5\/2 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f = 1. Let v be f\/((-2)\/(-7))*-18. Find the common denominator of -19\/2 and (-297)\/v*(-7)\/(-32).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*d**5\/7 + 1188*d**4\/7 - 954*d**3\/7 + 228*d**2\/7 + 40*d\/7 - 16\/7 = 0 for d.\nAnswer: -2\/9, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*m*n**4 + m*n**3 + 133*m*n**2 - 465*m - 70*n**4 wrt n?\nAnswer: 2472*m*n + 6*m - 1680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2 + 6. Let k = -41 + 56. Let v = k - 13. What is the second smallest value in 1\/2, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 532243 - -3?\nAnswer: 532246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025371649997 to seven dps.\nAnswer: -0.0002537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:45 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (2 + 1*((-4*(-1 + sqrt(153)) - sqrt(153) - (0 + sqrt(153) + sqrt(153))*6) + 5))**2)*-5.\nAnswer: -221666 + 5610*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21277 - 61*v - 10640 - 10641 to the form o*v + z and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1269792 divided by 9\nAnswer: -141088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 49*d. Let b(v) = -270*v. What is -5*b(o) - 27*t(o)?\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/((p**(-29)*p*p)\/p))\/p*p*p\/p**22 assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82044 and 45874044.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 20 = 0, -5*w + 6 = -0*f + 4*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evsssdlvddlvlievs. Give prob of sequence vli.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(91))\/sqrt(7) + -2)*-4*-4)**2.\nAnswer: -2048*sqrt(13) + 14336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 14*u**2 - u + 96. Let w = 230 + -217. Let c be a(w). Calculate the highest common divisor of 36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o**5 + 0*o - 33*o**2 - 1\/6*o**3 + 47\/120*o**6 + 0 - 5\/3*o**4. Find the second derivative of j(b) wrt b.\nAnswer: 282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/228 and 1\/5.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 v when four letters picked without replacement from ffvffffffvvfff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 29*w**2 - 5*w + 21. List the prime factors of g(-13).\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = x + 1, 0 = 4*x + 5*r - 0 + 10. Which is the nearest to 1.2? (a) 0.5 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*b**3 + 0*b + 0*b + 302*b**3.\nAnswer: 559*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34*3\/24 + -3. Let i = -5 - -2. Which is the nearest to -2\/5? (a) -2 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 211881234?\nAnswer: 211881246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125*f**2*h - 2*f*h + 2*h - 340 wrt f.\nAnswer: 250*f*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.58 times 1.04?\nAnswer: 18.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2. Let f(g) = -22*g**2 - 5*g - 5. Let w(o) = 385*o**2 + 88*o + 88. Let r(n) = 88*f(n) + 5*w(n). Give t(r(y)).\nAnswer: 1210*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 120*j**2 + 2329*j + 80. Give v(137).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 4*u**3 - 5*u**3)*(339*u - 164*u - 174*u + 59).\nAnswer: -2*u**4 - 118*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -19*p + 6*p. Let a(c) be the third derivative of 1\/6*c**4 + c**2 + 1\/3*c**3 + 0 - 1\/60*c**5 + 0*c. Give a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*x - 4*s - 4, -x - s = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**7 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20111 + -11?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9508, -9474, -9440, -9406?\nAnswer: -9372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 4. Let f be x\/36 - 1948\/(-18). Calculate the highest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6040776*q + 6040786. Calculate d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-8)\/1)\/40)\/(1\/(-10)). Let n(p) = -p + 9*p - 2*p - q*p - 2 - 8. Let x(s) = s. Calculate n(x(u)).\nAnswer: 4*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (2*sqrt(171) - sqrt(171)))*2)\/((sqrt(36)\/sqrt(4) - sqrt(9) - sqrt(9))*5).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.41 - -23.393. Let c = v - 1. Let z = -0.0071 - c. Round z to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19458111?\nAnswer: 3, 31, 209227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1513*r + 6130*r + 6690*r - 2486*r - 97*r.\nAnswer: 11750*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 308 = w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2)\/(-8)*4). Suppose r = 3*v + 5*w - 164, -2*v - 10 + 146 = -2*w. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33271.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 942, 8544, 29490, 70458, 138126, 239172?\nAnswer: 380274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 410*a + 8405.\nAnswer: 5*(a - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59886?\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 6:17 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.35 + -1.25. Let b = 1032 + -1032.4. Sort -0.1, y, b, -5 in decreasing order.\nAnswer: -0.1, b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9) + (-24)\/9)*2. Let f = 0.07 - -0.33. Which is the third smallest value? (a) 3\/7 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(4\/(-16)*3). Let c = f - -85. Solve -8 = c*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 9*q - 7. Let y(h) = -2*h**3 - 19*h + 15. Calculate 7*s(d) + 3*y(d).\nAnswer: d**3 + 6*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -5, -2 in increasing order.\nAnswer: -194, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 17. Let p = -278 + 273. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/(-5*8\/(-100)). Let d be (6\/(-5))\/((-156)\/50 + r). Sort d, 4, -2 in descending order.\nAnswer: d, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.75 + -59. Let d = -1.250695 - p. Round d to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89253?\nAnswer: 3, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 13986456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let i = -0.4 - 0.8. Let m = 0.8 + i. What is the third smallest value in m, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 + 301. Let z = 92 - x. Suppose 16*h - z*h = 910. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93515 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31982 is divided by 196.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-7)\/(-10)) - 1. Let q = 0.29 - 43.29. Let g = -47 - q. What is the smallest value in f, 0.18, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -4.197514?\nAnswer: 8.395028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/12*r**5 - 10*r**2 - r + 0 + 0*r**3 + 25\/3*r**4. Find n such that g(n) = 0.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*i + 20, -2*i + 4 = -i + 4*n. Suppose g = i*q + 54 + 390, 4*g = q + 1746. Suppose 5*b - 9*b = -g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*s + 4*u = 920*s + 25, -3*s = 2*u - 17 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 115759 to the nearest 1000.\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -1\/2*w**4 + 0*w**3 + 0*w + 0*w**2 - 5 - 2\/5*w**5. Factor j(p).\nAnswer: -2*p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = i + 8*h, -5*i = 5*h + 105. Let m be i\/104 - 14\/(-8). Let v = 2 - 4. Which is the nearest to -1? (a) v (b) -2\/15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3926, 7796, 11668, 15542, 19418, 23296?\n\"Answer: h**2 + 3867*h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64847.\nAnswer: 19, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.26 + 27.8844. What is j rounded to two decimal places?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2007585 litres in millilitres?\nAnswer: 200.7585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479066845.\nAnswer: 5, 313, 443, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-22) + 48\/22. Find the second derivative of -c**n + 3*c**2 - c + 3*c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 22. Let b = 52 + a. Suppose 5*i - 4*i = b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 8*h**2 + 7*h + 4. Let d = -54 - -55. Let g be (63\/(-27))\/(d\/(-3)). Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 5 - (-314 + 328)) + (0 - (-27 - 2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-8 + 2) + -1. Let o(h) = h**3 + 3*h**2 + 4. Let r be o(-3). What is the tens digit of i\/(-4) + 1\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from kcfuk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -106. Let t be (1 - (-5)\/(-1))*q\/(-168). Which is the nearest to 1? (a) 0 (b) 2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 16*k**2 + 228*k + 56 = 0?\nAnswer: -14, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/((-2400)\/(-1596)) + 27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1877546 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.665 + 0.095. Let d = k - -0.67. Let f be -1 + (6\/4)\/3. Which is the nearest to d? (a) -2 (b) f (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.2 + 60.4. Let x = 33.1574 - c. What is x rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -1. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118750 (base 11) in base 10?\nAnswer: 9045047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 105 = 23*c. Suppose 14 + 0 = 2*a. Let m(s) = 6*s - 3. What is the remainder when m(a) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2521, 69 in descending order.\nAnswer: 69, -2, -2521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x - 1. Suppose -33 = 7*q + 23. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3057, -6110, -9153, -12180, -15185?\n\"Answer: g**3 - g**2 - 3057*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*l + 2, 5*v - 22 = -17*l + 15*l. Calculate the lowest common multiple of v and 7077.\nAnswer: 14154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjjs when four letters picked without replacement from {j: 3, s: 4, c: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - 0. Let j = 1.394 + b. What is j rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 2, 14, 40, 86, 158, 262, 404?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 17*c - 34. Let x(v) = v**2 + 6*v - 12. Let a(l) = 6*i(l) - 17*x(l). Let n(t) = -462*t. Give a(n(h)).\nAnswer: 213444*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 1, r: 1, z: 2, x: 2, i: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/12 - h**3\/6 + h**2 + 3*h. Let s be u(-3). Suppose -2*v - 6 + 16 = 0. Solve 4*t + 3*m = -3, -v*m - s = -t + 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4728 - 21b?\nAnswer: -4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(0*k**3 + k**3 - 2*k**3) - 8*k**3 - k**4 - 2*k**4 + 11*k**3 + 3*k**4 - 7*k**4 - 3*k**4.\nAnswer: -11*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40118345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 26*y + 77. Let o(r) = 26 - 277*r + 7 + 46 + 303*r. Let b(m) = -4*o(m) + 5*u(m). What is the derivative of b(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/8 and -123\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -87*p + 33. Let t(x) = 11*x - 4. Determine 4*a(b) + 33*t(b).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -18\/19 (c) 1\/3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 39. Let g(h) = -7 + 2 + h**3 + 15*h - 14*h**2 + 2. Calculate the remainder when g(v) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -399 (b) -2 (c) -7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*-17\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 45*n + 2. Let x be y(-15). Solve -4*r - r = -5*g - 20, 0 = 5*r - x*g - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(8\/60). Put -4, d, -3 in increasing order.\nAnswer: d, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1306\/3 (b) 0.4 (c) 1.6 (d) 2 (e) 0.3 (f) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 12 - ((-72 - -23) + 54).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0503 - -0.2503. What is the third biggest value in -14, m, -5, 104?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d**2 - 98*d - 77. Calculate t(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (638\/(-44) - -32 - (-3)\/(-2)) + 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 6, -1.687 in descending order.\nAnswer: 6, 0.5, -0.4, -1.687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 5*d**2 - 6*d - 3. Let f be x(-4). Suppose 0 = -f*y + 5*c + 10, 4*y + 5*c - c = 8. Let h = 0.1 - 0. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011100110010101 (base 2) to base 3\nAnswer: 21102000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65016 and 924.\nAnswer: 715176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*a = -1 + 3, 0 = -4*a + 4. Suppose y = -2*x + 5*j + 10, 2 = -4*x - 5*j - 8. Solve -2*u - 3*u - 20 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 6 = 17*n. Let c be -1 + -1 - (3 - (n - -6)). Let x be (-1)\/(22\/c) + 15396\/(-22). Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from yyuyvhggguuggu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/9, 357\/11, 12, -1, -1.65, -5?\nAnswer: 357\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose d = -z*r - 2, 3*r = 5*d - 129 + 47. What is the remainder when 27 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. List the prime factors of 40\/y - (-1 + 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -1*sqrt(684))**2 - (sqrt(475)*-2)**2.\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 34*o**2 + 32*o + 35. What is the tens digit of r(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 4.9, -2, 20 in ascending order.\nAnswer: -2, -1\/4, 4.9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215 - 215 - 49*m**2)*((-m + 0*m - m)*(23 - 17 + 15) + m - 4*m + m).\nAnswer: 2156*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 - -2 - (5 - (-4 + -6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32945698 divided by -16472849\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -347058, -1388214, -3123466, -5552814?\n\"Answer: -347048*j**2 - 12*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564083194?\nAnswer: 2, 7, 19, 739, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from tnptnpnnnntt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-285))\/((-9)\/((-27)\/(-2)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = 2*p, -5*k = 3*p - 20 - 33. Find the second derivative of -24*t - 55*t**5 + p*t**5 - 17*t + 11*t**5 wrt t.\nAnswer: -660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrgrubbba. Give prob of sequence uub.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4602808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**20)\/m*m)**(4\/19) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -987*z + 960*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1012010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**5 + 8\/5*u**4 + 2\/5*u + 8\/5*u**2 + 12\/5*u**3 + 0.\nAnswer: 2*u*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -457*a - 187365. Determine k(-410).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o**4 + 4*o**3 + 4*o**2 - 5. Let u(k) = 26*k**4 + 5*k**3 + 5*k**2 - 4. Let h(v) = -5*m(v) + 4*u(v). What is the derivative of h(f) wrt f?\nAnswer: -104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 91?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 16*p + 10. What is g(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*o*o\/o**2)\/(o*o**(-3\/2)\/o*o*o*o\/(o*o**4)) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1525)\/(-20) + 6\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-164 - -192)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s + 1. Suppose -3*z - 29 = -2. Let w(q) = 17*q - 2. Calculate z*h(u) - 4*w(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 475391*p\/2 + 6180252.\nAnswer: -(p - 950808)*(p + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 2*f**2 + 7*f - 1. Let v be m(3). Solve 3 = 3*y + o, -y = -0*y - 3*o - v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6941 is divided by 6900?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 3*y**2 - 2*y**2)*(0*y + 4*y**2 + 0*y) + 5*y**4 - 6*y**4 + 4*y**4.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + p**2 + 2*p + 3. Let k be g(-3). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*c**2 - 8*c**2 + 40*c**3 - 41*c**3 as s*c + d + b*c**2 + k*c**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/24 + -2\/3. Let u = -1.63 - 0.27. Let t = 2 + u. Which is the nearest to t? (a) -2 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603446 or 603445?\nAnswer: 603445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c. Suppose 4*g = -2*w - 4 - c, -g - w - 1 = 0. Is 6 a factor of g + (1 - 0) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -366*f**3 + 10*f**2 - 42*f + 7. Let o(d) = -365*d**3 + 9*d**2 - 35*d + 6. What is -6*o(j) + 5*t(j)?\nAnswer: 360*j**3 - 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p - 2. Let s(a) be the second derivative of -5*a**3\/6 + a**2\/2 + 15*a. Let m(h) = -h**3 + h**2 + h + 3. Let v be m(0). What is v*l(w) + 5*s(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2229 - ((-8)\/1 + 3). Factor -2254*v**4 - 36*v**2 + b*v**4 + 4*v + 4 - 52*v**3 + 4.\nAnswer: -4*(v + 1)**3*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/61 in 162, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.2007 minutes in milliseconds?\nAnswer: 47232042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -38*b**2 + 3*b - 3. Let q be r(-2). Calculate the least common multiple of 56 and (-6)\/7 + (-2070)\/q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h + 170. Let n be x(-6). What are the prime factors of n\/(-1534) - -193*51\/13?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.02.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/24 - d**5\/20 + d**4\/12 + d**3\/3 - 4*d**2. Is b(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17249317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63747.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 4.\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 0 = 5*j - 178 - 167. Suppose l = -4*u - 5*t + j, 0*t - 2*t + 15 = u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 + 5*v**4\/12 - 2*v**3\/3 + 2*v**2 + 7*v. Let k be q(4). Put -5, 1, k in descending order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -46. Suppose -y + 27 = 3. What is the greatest common factor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59762*p**4 + 15842 wrt p.\nAnswer: -239048*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.4046607 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -20010202122001?\nAnswer: -20010202122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 473*p**3\/3 - 4273*p**2\/3 + 48*p.\nAnswer: p*(p - 9)*(473*p - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 443824643108.9 and -5.\nAnswer: 443824643103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b**2 + 3845*b + 966. Calculate k(-192).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 - (0 - (-7 + 8)). Solve a*v + 0*x = -2*x + 8, 24 = 4*v - 4*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:36 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -27*c + 163. Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9. Suppose m + 0 + 1 = x. Is -2\/3 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2612, -2608, -2604, -2600?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2763 = -1111*z - 616*z - 1036*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -987, 8, -5, -1, -3 in decreasing order.\nAnswer: 8, -1, -3, -5, -122, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1*13\/(-2). Let v = -275151\/2 - -137576. What is the smallest value in 4, v, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 3*m = 12, 0 = -2*a + m + 12. Suppose -3*t - 3*v - a = 0, -4*t - 4*v - 4 = -2*t. What are the prime factors of ((-7281)\/4)\/(-9) - t\/(-8)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168961529 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((43659\/(-54))\/49)\/9)\/((-2)\/(-12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61651.421208261 less than 5?\nAnswer: 61656.421208261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(584*d + 966*d - 324*d).\nAnswer: -2452*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/161)\/((-3)\/21) + 6 + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 590 - 591. Let r(c) = 6*c - 2. Let g(u) = 2*u - 1. Let v(y) = z*r(y) + 2*g(y). Let d(f) = f**2 - 389. Calculate v(d(p)).\nAnswer: -2*p**2 + 778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304 + 31?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from wsayzshwhhhhsyhhwh?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4. Let b(s) = s**3 - s**2 + s + 1. Let p(j) = 2*j**3 + j**2 + 7*j + 8. Let r(z) = -3*b(z) + p(z). Let f = 0 + 5. Let d be r(f). What is g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/((-14)\/(-12)). Let s = 26 + -51\/2. Which is the second biggest value? (a) i (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/10)\/7*(3\/(-2))\/(-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + a + 205 = -2*a, -2*j - 82 = 5*a. Let i(y) = y**3 - 8*y**2 + y + 2. Let v be i(7). Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-360)\/64)*3\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5\/7 - 612*d**4\/7 - 17944*d**3\/7 - 91008*d**2\/7 - 115072*d\/7 = 0. What is d?\nAnswer: -116, -31, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 + 11*d + 10. Give l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 33 + 21. Solve -q*y - 6 = 0, -4*y - 10 = -4*j + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o**5 + 728*o**4 + 1860*o**3 + 200*o**2 - 1872*o - 928 = 0. Calculate o.\nAnswer: -58, -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2 - 3*o - 21. Let r(d) = 13*d**2 + 5*d + 42. What is -5*l(x) - 3*r(x)?\nAnswer: -4*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013512 is divided by 993?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*g + 14. What is the third smallest value in -0.2, -2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6 + 277*r**3 + 93*r**2 + 3*r.\nAnswer: 120*r**3 + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 7*x**4\/12 + 2*x**3\/3 + 27*x. Let n(w) = -w**2 - w. Let o(m) = -4*n(m) - s(m). Let y(i) = 26*i. What is y(o(b))?\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let d = 24 + -22. Suppose h*i - 2*u = -6*u - 8, d*i + 3*u = -7. Is i < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 32. What is the remainder when 10 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.02, -31\/7, 5, -0.091?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:50 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27848935785 and 224.5.\nAnswer: -27848935560.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1768.439881 + 1771.74. Let t = 3.3 - l. What is t rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b**3 - 12*b**2 - 54*b + 79. What is the units digit of w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/24 + j**3 - 7*j**2. Let i(x) = -1. Let r(w) = 3*i(w) + z(w). Determine r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5 + 29\/(-145) - 147\/(-630).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x - 14. Let b be o(13). Suppose 45 + b = 3*n. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76651365 + 740*r**3 + 76651365.\nAnswer: 740*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2. Let o(z) = -2*z**2 + z + 2. Suppose 24*q = 14*q + 30. Let x(n) = -8*n**2 + n + 2. Let d(w) = q*o(w) - 3*x(w). Determine m(d(s)).\nAnswer: 324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 522225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 - (-2 + 9 - (3 - -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1*(2\/2)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbkz when four letters picked without replacement from kcscissckzksbckszss.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, -2, 486, 0.5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*sqrt(704) + 3 + 3)*-3)**2.\nAnswer: -7776*sqrt(11) + 172044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3537307km to nanometers.\nAnswer: 353730700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 2*b, 0*m + 3*b = m + 3. What is the second biggest value in m, -2\/7, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -41*u**2 - 32*u + 4. Let p be x(-1). Sort 14, -1, p, -4.\nAnswer: p, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66052 and 5033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from mmwmhmmmwwwmw?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1421212 - -10?\nAnswer: 1421222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 104. Are 2\/163 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 21 + (6 - 9 - 3 - (-4 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/792 + (-10)\/24)\/(1 + 369\/(-36))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/33 and 73\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31671473807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*2\/(-8)*-2. Solve j = u + 6, -2*u + 11 = 2*u + z*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8754 divided by 2\nAnswer: -4377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 3*o - 163. Suppose 5*k - g = -0*g + 1471, -5*g = k - o. Suppose 8 = -2*b + k. What are the prime factors of b?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811815 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**6\/3 - 7*a**3\/6 - 11*a + 9. Let q(r) be the first derivative of x(r). Find the second derivative of q(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1879530 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 - 1. Let v(x) = 2*x**3 + 3*x**2 + 3. Let h(i) = -i**2 + 3*i + 1. Let y be h(4). Calculate y*d(s) - v(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 6225?\nAnswer: -6223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -37, -68, -123, -208?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, h: 1, c: 12, b: 3}. Give prob of picking 3 i.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -258*c + 119. Calculate a(-2).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 25?\nAnswer: 21\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -519262.\nAnswer: 2596310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 + 3?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616597599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*28\/(-7)*(-2)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w - 162. What is g(-26)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3236 = 4*m + 678, -2*m = o - 1277. List the prime factors of m.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -2052*y**5 + 1238*y**2 - 5641. What is the second derivative of b(u) wrt u?\nAnswer: -123120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6591378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 20*m + 18. Let a be c(-13). Factor 245*r**4 + a*r**2 - 2*r**2 - 385*r**3 - 20*r + 66*r**2.\nAnswer: 5*r*(r - 1)*(7*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 444\/(-112))*8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3041 + 6928. Is 67 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -2*l - 2*c, -4*l - 190 + 815 = c. Suppose 4*n + 49 = l. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -53, -57, -63, -71, -81?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s - 34588 - 4683652 = 8229457. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*m + m - 4 = 0, -3*l + m = -6. What is the common denominator of 31\/3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 2. Let m(p) = 0*p**2 + p**2 - v - 2*p**2 - 6*p. Let l = -9 - -5. What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*d + 4905 - 12092 + 5301 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/(-6)*7\/(42\/54). Let h = i + 365. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3102, 3, -200 in increasing order.\nAnswer: -3102, -200, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 2\/3, -275, -0.5, 17, -4\/3, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jixkjxkxrgkr. Give prob of sequence xijx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 733*x**3 + 3*x**2 + 1865*x. Let w(z) = 731*z**3 + 4*z**2 + 1867*z. Let i(r) = -4*s(r) + 3*w(r). What is the second derivative of i(f) wrt f?\nAnswer: -4434*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -286.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13679981?\nAnswer: 7, 19, 73, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 - -20. Let u = -185 - f. Calculate the smallest common multiple of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 65 = r. Suppose 4*w = 5*k + 16 + 1, r = 4*w - k. Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 1, w: 3, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(35\/(-40))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -14925?\nAnswer: 14921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3884031?\nAnswer: 3, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 138. Let f = -109 + d. Differentiate 154*b - 49*b - 56*b + f wrt b.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 2*j + 276 = 0, -120*a + 119*a - 4 = 3*j - 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*-2*sqrt(1100) + ((sqrt(1100) + 1)*-1 - sqrt(1100)))*-4)**2.\nAnswer: 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + s**3 - 8. What is the third derivative of v(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-26 - (-4 - (13 - 4))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*13*1\/(-4). Let t(g) = -17*g**2 + 13*g + 15. Let f(m) be the first derivative of 140 + 7*m - 8\/3*m**3 + 3*m**2. Calculate z*f(q) - 6*t(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(252)\/sqrt(7))\/sqrt(12) - sqrt(33)\/((sqrt(99)*5 - sqrt(99))\/sqrt(9)))**2.\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/5 + 495723*l**2\/5 + 5948244*l\/5.\nAnswer: 3*l*(l + 12)*(l + 165229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3493993318646 + -3\nAnswer: 3493993318643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9696*l**2 + 235*l - 9695*l**2 - 235*l - 3 + 3.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962077, 962081, 962085, 962089, 962093, 962097?\nAnswer: 962101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.4463 in 0.2, -14, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 819244427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26\/5, 2, 2\/21.\nAnswer: -26\/5, -4, 2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + 144204420?\nAnswer: 144204302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 + 44 + 17 - (4 + 1 + -2)) + -18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*v**5 - 17*v**4 + 2790*v**3 - 2790*v**3 + 20*v**2 wrt v.\nAnswer: -300*v**2 - 408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (248\/744)\/(1\/(-24)*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15234 = 13*v - 64007 - 7820. Is 42 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose 0 = 3*v - 5*x + 9, -j*x + x = -3*v - 9. Let y be (-6)\/(-4)*(-2)\/(-3). Put y, v, 5 in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*h + 2*l, 0 = -3*h - 5*l - 18 + 5. Let s(m) = -m**3 + 4*m**2 + 5. Let p be s(h). Solve -16 = -p*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbb. What is prob of sequence bq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (855625\/(-111))\/((-1)\/(-912)). Round h to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/34468)\/((-17)\/(-68)). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 15)*(-18)\/(-12). Let h = -64\/3 + y. What is the closest to 1 in 1, h, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 + 303. Suppose 0 = 3*o, -3*n + o = 4*o - q. Solve 0 = -7*m + n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(5*(sqrt(110) + (-4*sqrt(110) - sqrt(110))) - sqrt(110)))\/(-4*(sqrt(360) - (sqrt(360) - sqrt(360)*2))))**2.\nAnswer: 539\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15700*a*h**4 + a*h**2 + 24*a*h + 6*a - 4*h**3 + h**2 wrt h.\nAnswer: 376800*a*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) 0.01 (c) 1 (d) 69 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {w: 7, a: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4879 and 287.\nAnswer: 4879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*p = -587*p + 5*f - 12, p + 11 = 4*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297901, -1297357, -1296813, -1296269, -1295725?\nAnswer: -1295181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**5\/20 + 7*g**4\/6 - 100*g**2 - 134*g. What is the derivative of j(z) wrt z?\nAnswer: 9*z**2 + 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-1 + -3)*3 + (2 + 1*sqrt(128))*5)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y - 8. Let l(z) = 3*z + 7. Give 4*c(w) + 5*l(w).\nAnswer: -5*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 + 295 + 0*k**3 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -4*v - 0*y, -3*y = 4*v + 4. Which is the nearest to -7\/2? (a) 0.5 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (2 - 1))*2. Let f be (-14)\/t*(-80)\/10. Suppose -25*c = -f*c + 450. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + f = -4, 12*j + 5*f + 20 = 8*j. Solve j = 6*o - 2*o - 5*g + 3, 12 = 4*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*z - 2691 - 1046 - 1093 = 0. What is the highest common factor of z and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -42*m + 917. Calculate g(8).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 2*k**2 + 2*k + 10. Let t = 30646 + -30649. What is c(t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 + (3 - 2 + 0)*(0 - 1 + 2) + 1 + 0 + 2)*(-83*q**3 - 97*q**3 + 6 + 179*q**3).\nAnswer: -2*q**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.98 + 0.02. Let j = 34 + -201. Let t = -168 - j. Which is the biggest value? (a) t (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -294*x + 127. Is f(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.717215*2\nAnswer: -133.43443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*(-16)\/(-6). Suppose 3*a = 2*a + y*b + 7, -5*a = 3*b - 35. Let w = 8 - 5. Solve 0*t = 2*t + w*d + 13, 2*t = 3*d - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 1, 196, -113, 5 in descending order.\nAnswer: 196, 6, 5, 1, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2250\/19 - 162551\/1368. Find the common denominator of p and 998\/1080 - ((-18)\/(-15))\/(-3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15849.8 millilitres?\nAnswer: 15.8498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 15. Suppose -4*z + 100 = -k*o - 2*o, z = -o + 34. What is the greatest common factor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 7308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -1\/2 (c) 0 (d) 1312 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 136.85. What is a rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -354911.552?\nAnswer: -354855.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125 and 225?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 3*b**2 + b**2)*(-1 + 3 + 3)*(b + b + 0*b) + b**3 - 3*b**3 + 0*b**3 as y*b**3 + c*b**2 + s + o*b and give y.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**5 + 316*s**4 + s**3 - 4056*s**2 + 4*s.\nAnswer: -180*s**2 + 7584*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3 - 5. Suppose -l*w - 10 = 14. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 + -328. Solve v*n = -8*n + 36 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, i: 2, r: 8, k: 2}. What is prob of picking 3 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 874 + -117. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by -3*1096\/(-204) + (-4)\/34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4660, 9296, 13932?\nAnswer: 18568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*a + 22386, 134*a - 22374 = -3*d + 137*a. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 259*f - 126*f - 127*f + (-2*f**3 - 2*f**3 + 2*f**3)*(4 - 2 - 1).\nAnswer: f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = 518. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 3 + 3)*(-p - 2*p + 4*p) + 29*p**4 + 9*p**4 - 64*p**4 + (-10*p**2 - p**4 + 10*p**2)*(0 + 4 - 2).\nAnswer: -29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.8, -0.4, 0, 0.5 in descending order.\nAnswer: 0.5, 0, -0.4, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(2\/17)*d*d)*d*d**(2\/11))**(-44) assuming d is positive.\nAnswer: d**(1448\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*b + 5*b - 24, 0 = 3*j + 3*b - 18. What is the tens digit of (4\/j)\/2 - (-236)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 5, 8026, 0, -3, 2 in decreasing order.\nAnswer: 8026, 163, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327 and 13785339?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59180.43 months in years?\nAnswer: 4931.7025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 25438 = 2*z, -4*z = -2*j + j + 4257. Is j 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 5:00 PM and 10:17 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20849036 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l**(-2\/5))**(-5\/4)*(l**(-5)\/l**(-3\/2))**10 assuming l is positive.\nAnswer: l**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86.1 in 1, -1\/4, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*2*2)*1*-5)\/((sqrt(120)*1*-6)\/(sqrt(10) - (sqrt(810) + (sqrt(810) - (sqrt(810) - sqrt(810)*-1))))) + 4.\nAnswer: 4 + 25*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2154 (base 7) to base 15\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*b + 4*j, 4*b + b + 4*j - 170 = 0. List the prime factors of (36\/b)\/((-10)\/(-2475)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 749 and 6955.\nAnswer: 48685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8 - 7 + 1 + v + 0. Give k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + -110111?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2897507\/5122824 - 4\/30493. Let l = z + -46\/21. Calculate the common denominator of l and -23\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 7919450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 569.4077 micrograms to milligrams.\nAnswer: 0.5694077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2 - 303399*r - 1363252 wrt r.\nAnswer: 2*r - 303399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22210 - -3?\nAnswer: 22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:52 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) 1 (d) 1.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27603031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = 2*j - 6*j, -a = -4*j + 12. Let d be (3\/(-6))\/(j\/(-24)). Suppose -20 = -p - d*p. Let k(h) = h + 5. Calculate k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m**3\/3 - 176*m**2\/3 - 2635*m + 2664 = 0.\nAnswer: -9, 1, 888\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21143939 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 3427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {c: 3, z: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m - 3. Let y(v) = v**3 + 64*v**2 + 628*v + 267. What is the remainder when y(-52) is divided by k(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 291*i - 280*i - 66 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506573939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1626*u + 193414. Calculate n(-119).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31578439*u**4 - 542099929 with respect to u.\nAnswer: 126313756*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*g + 1464 - 1452, 2*x = -8*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t. Let b(a) = -5*a**2 + 11*a. What is z(b(y))?\nAnswer: -60*y**2 + 132*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(130\/117)\/10\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = h - 26, 2*h - 3*h + 5*z + 34 = 0. Suppose 14 - h = 5*j. Let n be (-800)\/(j - 62247\/(-31125)). Round n to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z + 2*g + 307 = 0, -g = 4*z + 411. Let n = z - -113. Solve 6*r - r = -n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 5*g**4\/12 + 65*g**3\/3 + 825*g**2\/2 + 184*g. Factor a(m).\nAnswer: 5*(m + 11)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27745 and 0.\nAnswer: 27745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4442970 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/60 - 7*q**5\/30 - 5*q**4\/4 - 3*q**3 + 3*q**2 - 9*q. Factor r(s).\nAnswer: -2*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 2. Suppose -2*z - 8 = -z. Let d be (-2)\/(-3)*84\/z. What is the tens digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4311 divided by 479\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12260)\/(-6743)*-2*(-44)\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6459 (base 14) in base 16?\nAnswer: -43af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -220*f - 15680. Determine t(-72).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n*n**(5\/9)\/n))\/n)*n**(-1\/16))**(-38) assuming n is positive.\nAnswer: n**(-4085\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*-10603982\nAnswer: 10603982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 27020?\nAnswer: 27020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 2*y + 3*y - 11 = 5*j, 3*y - 5 = 4*y + 2*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(1\/4)*w*w))**33)**23*w*w**(-7)*w**7\/w*w*(w*w*w**(-2\/3))**(9\/7) assuming w is positive.\nAnswer: w**(-47741\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*x - 5*u + 20, -3*u = x - 12. Let n be 16\/3*6\/4. Suppose -3*q + n + 1 = 0. Solve x = g - 2 - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 8*r**4 + r**4 + (4*r + 2*r - 5*r)*(-11*r + 1 + 2*r**3 + 10*r + 1).\nAnswer: -3*r**4 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhhdhdhhhhdhs. Give prob of sequence dhd.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-4861.\nAnswer: -38888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 26.\nAnswer: 84\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -12881, -1 in descending order.\nAnswer: 1, -1, -11, -12881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, c: 2, i: 2}. Give prob of picking 2 y.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*((sqrt(77) - (sqrt(77) + sqrt(77)*-1 - sqrt(77))*-3) + sqrt(77))*-1)\/(((sqrt(88) + 2*sqrt(88))*-6)\/(2*sqrt(648) + sqrt(648))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 4*f**4 - 4*f**4)*(670 + 148 - 59).\nAnswer: 759*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226752547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -698, -686, -674, -662, -650, -638?\n\"Answer: 12*r - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - 3*l, -a = a - 5*l + 11. Let v be 4 + 1*(-2)\/(-1) + a. Suppose -15981 = 5*g - 2*t - 1821, -8485 = v*g + t. Round g to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-20)\/6)\/((-36)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 minus 0.26?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsed when four letters picked without replacement from wwvewdhwsww.\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 8. Let n(p) = -p**3 - 4*p**2 + 4*p - 5. Let v be n(-5). Suppose v = -5*m + 4*m. List the prime factors of j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*p - 23170*o**3 - o**2 + 138873*o*p wrt o?\nAnswer: 6*o*p - 139020*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547195 and 416585?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1 + 33 + 14\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 21*m = -14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:09 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9927339 millimeters?\nAnswer: 0.0009927339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 704432, -2, -234 in decreasing order.\nAnswer: 704432, -2, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1842*j**3 - 135*j**2 + 6.\nAnswer: 11052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**11*i)\/i*i*i*i*i)\/i)\/(i\/(i**(-18)*i)*i))\/((i\/i**(4\/15))\/i**(-11\/3)))**17 assuming i is positive.\nAnswer: i**(-714\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 + 0)*(-6 - 68 - 26)*(1 - 2 + 0)*(-2*a + 0*a + a).\nAnswer: 300*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 130\/(-55) + (1 - -3). Let g = -83\/44 + c. Let n = 77.07 - 77. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (0 + 1)*168\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93213*o**3 - 4696*o**2 - 93255*o**3 - 89*o**4 - 1865*o**2 wrt o?\nAnswer: -2136*o - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4985080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398.99999601 + -399. What is v rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 22\/7, -2\/15, 10\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10491 is divided by 556.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 19*f - 2 = 16*f, 43*f + 516 = 172*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15970 divided by 5?\nAnswer: -3194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 248613750 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8)*72\/(-84).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 310 + -309. Let x be 1 - (1 - 9 - -1). Sort x, -2, w in decreasing order.\nAnswer: x, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 - u**2 + u + 2. Let v be x(-2). Suppose 0 = 4*f - v - 12. Suppose 0*y + y = f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036 a factor of 864129300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 8, h: 2, i: 3, l: 5}. What is prob of sequence oi?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/66897?\nAnswer: 4\/66897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9230*j**3 - 21197*j**3 + 11968*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*((-3*(2 + sqrt(75)) - (0 + -2 + sqrt(75))) + -3 + (sqrt(75) - -4*(sqrt(75) - (sqrt(75) - -1*sqrt(75))))))**2.\nAnswer: 125440*sqrt(3) + 953344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63034 rounded to the nearest 100?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/17041 - -1244125\/1124706. Calculate the common denominator of v and -37\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 1 = 6*q, -13*a + 4*q + 124 - 60 = -18*a + 65 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69656383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 4 + 2*sqrt(192))*-6)**2 + ((sqrt(363) + 0 + sqrt(363) + 4)**2 - -3*(-1 + sqrt(3)*-1)**2).\nAnswer: 182*sqrt(3) + 29128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -765.8 to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 6:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3111 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.949 equal to 32525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 106 = -2*q. Let d = 50 - 17. Let w = q - d. Calculate the least common multiple of w and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/6)\/(-1*(-2)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083981998?\nAnswer: 2, 47, 43446617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 4*k)*(-13*k**2 + 6*k**2 + 9*k**2 + 4*k).\nAnswer: -6*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 56*l - 4*k - 500 = 0, -5*k = 0. Suppose -p = 4*d + 89, -2*p + 0*p = -3*d + 145. Let x = p - l. Calculate the highest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -7.\nAnswer: 169\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + (3 + -3 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011100001111 (base 2) in base 9?\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*k + 16628, -31*v - 7*k - 16628 = -35*v. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11222 (base 3) to base 4\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -190, -3, -88 in ascending order.\nAnswer: -190, -88, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123445 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*k + 5, -2*k = -4*c + 2*k + 32. Suppose -c*q = 2*q - 10. Find the second derivative of q*s - s**2 - s - 2*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dc148 (base 14) to base 2\nAnswer: -10000010000001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {r: 1, b: 10, c: 2, e: 2, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -35. Suppose -10 = -2*t + 2*m, -m + 1 = 4*t - 19. Sort t, -5, l in descending order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 + -2 - 190\/(-2)*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((85\/(-25) - -3)*5). Let u = -10 + 14. Put z, 0, 14, u in ascending order.\nAnswer: z, 0, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 - 105. Suppose -t - c*u = -2*t + 8, 2*t + 5*u - 38 = 0. Let o be 24\/(-28)*t\/(-4). Let a(i) = -5*i + 4. Calculate a(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16448\/(-448) + 35)\/(3 - 141\/21)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*6\/(72\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 76754.7.\nAnswer: 30701.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 3) + 0 - (-85 - -95)) + 1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*v**2 - 22*v**2 + 15*v**2 - v - 6 + 3 to the form y + q*v**2 + l*v and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c2e (base 15) in base 2?\nAnswer: 111010000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, 1 b, and 1 u when four letters picked without replacement from {b: 1, a: 3, u: 2, i: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 19*n**2 - 17*n + 68. What is r(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1160 and 5\/612.\nAnswer: 177480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, 1 q, and 1 a when four letters picked without replacement from qwwoiwowiwiaiwwo?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (376\/4 - 0) + 0. Let w = -86 + o. Suppose -26 = w*f - 10. Which is the closest to -2\/7? (a) f (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631.7617l to millilitres.\nAnswer: 631761.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121*t**2 - 691*t**2 + 29*t**2.\nAnswer: -1783*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119668121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79785773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let y(o) be the first derivative of -o**5\/60 + 2*o**3\/3 - 2. Let g(x) be the third derivative of y(x). Give g(t(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 232.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 15 + 5*n - 7 + 6. Let x = -16382 - -16378. Determine z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from fzzfqzzqfqq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/(((-72)\/6)\/(485\/10*-6)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {z: 1, f: 5, n: 5, a: 1, g: 1, j: 1}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -202*v**3 + v**2. Is k(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 355, 1451, 3277, 5833, 9119?\n\"Answer: 365*g**2 + g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 600?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -5\/21*m**3 - 1\/14*m**4 + 3*m - 2\/7*m**2 + 0 + 1\/70*m**5 + 1\/105*m**6. Factor o(n).\nAnswer: 2*(n - 2)*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 - f + 1. Let h(n) = -5*n**3 + 15*n**2 - 9*n - 2. Let s(g) = 18*d(g) - 2*h(g). What is the derivative of s(b) wrt b?\nAnswer: -24*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.0000077 - -5. What is y rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30805, -30767, -30741, -30733, -30749, -30795?\nAnswer: -30877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Let o = 2.00004 - j. Round o to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*t + 10. Let j = t + -3. Suppose 3*m - 3*o - 1 = 14, o - 2 = 0. Solve -j = -3*g + m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17669 is divided by 1443?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 4630. List the prime factors of n(-39).\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and 125?\nAnswer: 124.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12220100200220 (base 3) to base 11.\nAnswer: 1852697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 35*d + 72. Let v be m(-37). Which is the nearest to -4? (a) v (b) -0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:19 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 559446 divided by -6\nAnswer: -93241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/36*-6*(-6)\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, f: 4}. Give prob of sequence fffb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 168*p**2 - 3*p - 23. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 36. Let o = -2 + i. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1894441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 - 6. Let g(i) = -2*i**3 + 11*i**2 + 11. Suppose -2*m + m + 136 = 2*j, -3*m + 6 = 0. Let o = j - 73. Give o*g(k) - 11*c(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f + s - 2*s - 20 = -91*f, 4*s - 16 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**3 + 9 + 4 + 14 - 8 + 2*a - 7*a**3 to m*a + n*a**3 + z*a**2 + y and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-10)*(-240)\/32. Suppose 4*v - h*v = -5*u + 10, 4*u = 8. Suppose 3*a + 1 + 11 = v, 0 = -4*k - a + 16. Solve 0 = -t + k*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 5, y: 1, s: 3, x: 4, f: 1}. What is prob of picking 2 x and 1 y?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18068.0502 + 18073. What is r rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 54 = -29*y. Let k be 3 + 75\/y + 322\/9. Let b = -27 + k. Calculate the greatest common divisor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419620 rounded to the nearest ten thousand?\nAnswer: -2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -4, 0.1, -1\/11 in ascending order.\nAnswer: -10, -5, -4, -1\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:53 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 123018 = 5*d, 254*u = 253*u + 4*d + 123013. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/3713143 or -1?\nAnswer: -15\/3713143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1367 + 1361 + 1373 - 1063*p - 4055.\nAnswer: -1063*p + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 + 9*g**2 + 376*g - 384 = 0. What is g?\nAnswer: -16, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.505897 millennia to decades.\nAnswer: 250.5897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 29?\nAnswer: -28\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616\/9 or 68?\nAnswer: 616\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48823*q**3 - 439409*q**2 + 18*q.\nAnswer: q*(q - 9)*(48823*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d - 26439 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 8:57 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4948571 divided by -11\nAnswer: 4948571\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:11 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -12. Suppose -3*i = -4*i + l. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 349. Suppose 13*k - 697 = u. List the prime factors of k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00183311 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 21 + 3 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 9\/4. Let m(j) = 2*j + j**2 + u*j - 3*j + 2. Suppose -2*a - a + 21 = 3*v, 4*a = -8*v + 36. Give m(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l + 1)*(26 + 51 - 87 + 791*l + 8).\nAnswer: -791*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) 1 (c) 2 (d) -105.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k. Suppose 0 = 2*j - 0*j + 5*a - 150, -2*a - 187 = -3*j. Let c(o) = -62*o - j*o + 188*o - 63*o. Determine s(c(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*h**3*n - h + 83*n wrt h?\nAnswer: -390*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15939 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118615*s**6 - 3*s**2 + 11*s - 24 wrt s?\nAnswer: -14233800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427599 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 117, 115, 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 19 = -8212*f + 8213*f, 4*j + 2*f + 32 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 22237, -18 in increasing order.\nAnswer: -18, -7, 22237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 860*a**2*w**5 + 5*a**2*w**4 + 39*a**2*w**2 - a**2*w + 98*a**2 - 2*a*w**2 wrt w.\nAnswer: 51600*a**2*w**2 + 120*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:18 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2309*u**2 + 15481*u + 14353*u - 30806*u wrt u.\nAnswer: 4618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1)\/(-2) - 43620\/(-120). Suppose -3*k = 3*m - 564, 0 = 5*k - 3*m - s - 545. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-24) + 12)*(-2)\/23.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/((z\/(z\/((((z\/z**(-8))\/z)\/z)\/z)*z))\/z*z))\/(z**(-2\/9))**(-6\/13) assuming z is positive.\nAnswer: z**(113\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 - 21 = -60*c + 61*c, 3*c - 3645 = -181*q - 2*c for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:30 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 (base 11) in base 13?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 51*c + 5*r - 65 = 0, 2*c - 35 = -5*r for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4482 (base 9) to base 2\nAnswer: -110011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*w + 21463 + 1259 = -1032*w - 14187 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -5*sqrt(231)\/sqrt(7))\/(sqrt(3) - 3*sqrt(3)*-1).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 2*w + (5 - 1 - 3)*(2*w + w - 2*w))*(-3 - 11 + 3).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1765, 7087, 15959, 28381, 44353, 63875, 86947?\nAnswer: 113569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1607*n**2 - 3*n**3 + 9*n**3 - 1607*n**2.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b + 164*b = -4*n + 18, -140 = 21*b - 5*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238354374 + 238354374 + 7*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)\/l**(3\/8))\/((((l**(2\/5)*l)\/l)\/l)\/(l\/(l*l\/((l**6*l)\/l)))))\/((l\/(((l\/((l\/l**(1\/3))\/l)*l)\/l)\/l*l))**31)**(2\/15) assuming l is positive.\nAnswer: l**(18079\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 3276\/(-286))*(-1)\/((-6)\/33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 320.062?\nAnswer: 319.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -499 + 498.4. Which is the second biggest value? (a) 0.1 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(70)*-2*-5)\/(sqrt(40)\/sqrt(4)*5) + 3*((sqrt(1008)*-1 + sqrt(1008))**2 + -2).\nAnswer: -9 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 10) in base 6?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1501 = -1516. Which is the closest to 0.1? (a) 2\/5 (b) r (c) 7\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyuuuuuyu. Give prob of sequence uy.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + 14*m - 7. Calculate i(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6542.7 and 1592?\nAnswer: 8134.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-6))**(-2\/39)*u**(-2\/157)\/u**(-23) assuming u is positive.\nAnswer: u**(138553\/6123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8532630 = 5*n, -2392*j + 2394*j = -4*n - 5688376. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 13, 137, 2?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 1050 = 13*x. Let m = x - -47. Solve m*p - 6 = -4*o, 0 = 2*p - 5*o - 8 - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 22*x**2 - 19*x - 28. Determine j(11).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -190.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07102 + -0.07. Round l to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8.06. Let h = 633 - 485.8. Let p = -147 + h. Which is the biggest value? (a) s (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.839634 rounded to 1 dp?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-420)*0)\/(-8). Is f at least as big as -2\/32851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953703 divided by -19?\nAnswer: -6953703\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-117))\/((-2)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f)**(-2\/3))**50*f**(-3\/5)\/f**(5\/4)*(f*f**(-2\/3)*f*f*f)\/f**(-3\/10) assuming f is positive.\nAnswer: f**(2321\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j**2 + 87*j + 11. Give o(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-187516270)\/6 - (-4 + 10\/3). Let w = -18152711 - h. Round w to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:19 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5888 + 5888 + 469*y + 7*y**3 - 469*y.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399870.\nAnswer: 2, 3, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7918*h**2. Let q(r) = 2*r. What is k(q(n))?\nAnswer: -31672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -121022100?\nAnswer: -121021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/15140 and -49\/11?\nAnswer: 166540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -3 + sqrt(13) + -5)*2.\nAnswer: -16 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-56)\/(-40)))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -36*z**3 - 17*z**2 - 21*z - 376. List the prime factors of v(-10).\nAnswer: 2, 3, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h - h**3 - 31*h - 4*h**3 + 1 + 13*h + h**4 in the form d + m*h**2 + z*h + r*h**3 + c*h**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 66 + 114. Let t be 14 + -1 + 6 + (n - -10). What is the highest common divisor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 4:09 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 4*l + 105. Determine o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -794.1, -0.3, -1, -0.5, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*u**6 + 339*u**4 + 24*u**2 + 2*u + 71 wrt u.\nAnswer: -600*u**3 + 8136*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 5*n**2 - 6*n - 7. Let d(l) = -l**3 + l**2 - l - 1. What is -5*d(q) + y(q)?\nAnswer: 3*q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24842849351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 2\/11 (c) -2\/11 (d) 135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 + 14*u**3\/3 - u**2 - 34*u - 94. Calculate m(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + ((-4)\/(-32))\/((-38)\/1558).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 5. Let w(t) = 6. Let j(o) = 3*v(o) + 2*w(o). Suppose y + 1 = -1. Let k be j(y). Solve 0 = -m + k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*v = -11 - 8, 6 = -3*q + 4*v. Suppose -3*m - 4*y = -q*m - 24, 4*m - 51 = -y. Calculate the remainder when 35 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15567*r**2 - 5186*r**2 - 5185*r**2 - 58*r**3 - 5196*r**2.\nAnswer: -58*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 214*w + 424. Calculate p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 3 - (-16 - (16 + -22)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.2 (c) -20 (d) -3\/8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - b + 1. Let v(l) = -8 - 3*l**2 - 2 - l + 11 + 2*l**2. Calculate -o(m) + 2*v(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 - 2*m**2 - 5*m - 5. Let t(g) = g**3 - 6*g**2 + 3*g - 15. Let k be t(6). Is 10 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 - -10?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 275?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*q**5 + 393*q**3 + 2*q**2 + 179*q - 16 wrt q.\nAnswer: 640*q**3 + 2358*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 43 - 2*i**3 - 4*i - i**2 + 50*i**4 - 52*i**4 as l*i**3 + c*i + x + k*i**4 + z*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 9 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnjb when four letters picked without replacement from bbbhjhbbhjhbhnnbaaaj?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + -0.07. Suppose -i - 2 = i. What is the closest to -1 in 5, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w, -4 = -p - 3*w. Let q(g) be the third derivative of 7*g**4\/24 - g**3 - 22*g**2. Calculate the lowest common multiple of q(p) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19449 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3159)*-1)\/(4*sqrt(75)*2).\nAnswer: -9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c = -44*c - 5. Suppose 5*v + c*m + 301 - 1696 = 0, 3*v - 839 = -m. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 5\/2*x**4 + 0*x**3 + 0*x - x**2 - 1. What is the second derivative of m(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/13 - 3866*w**2\/13 + 998552*w\/13 - 13227480\/13 = 0.\nAnswer: 14, 290, 1629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 3 + 6*n**2 - 4*n**2.\nAnswer: 9*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -9*m**5\/10 + m**4\/4 + m**3 - 2*m**2 + 116*m + 2. What is the second derivative of f(p) wrt p?\nAnswer: -108*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 758, 3, -9 in ascending order.\nAnswer: -9, 3, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.2. Let m = 0 - f. Let z be 2\/(-3) + (-2)\/(-3). Which is the nearest to 0? (a) m (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Let y(u) = -u**2 + 6*u + 2. Suppose -4*n - 4*n = -48. Let a be y(n). Let h be i(a). Solve -7*g + h = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -48*n + 84. Is d(-17) a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinnnnnnnniiniiinn. What is prob of picking 2 i and 2 n?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 7*s + 4. Let x(v) = -v**2 - 8*v - 5. Let w = 12 - 20. Let m(i) = i + 3. Let p be m(w). Determine p*x(a) - 6*k(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 9\nAnswer: -61\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose n*g = g - 4. Let q(y) = -y**2 - 7*y - 4. What is q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 192750952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 0 + sqrt(1872))*-4 + sqrt(1872)*2 + -3 + sqrt(1872) + (0 + sqrt(1872))*4 + 1*sqrt(1872) + 2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((112\/784)\/(4\/14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 36 = -6. Find the third derivative of -3*a**2 + 2*a**q + 10*a - 10*a wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -136. Let i be (-2)\/3 - b\/(-3). Suppose -i = -2*f - 0*f. Calculate the lowest common multiple of 5 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajuujuajjjxl. Give prob of picking 2 a and 1 u.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6689, 13379, 20069, 26759, 33449, 40139?\n\"Answer: 6690*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68.379 - -1.379. Which is smaller: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2781056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 10:26 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = -3*d, 0*d = -5*x - d. Let n = x + -4. What is the units digit of (-12)\/2*(2 + n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-8))\/(-5)*(-26)\/39. Which is the nearest to 1? (a) -1 (b) q (c) 4 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) -4 (c) 1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 592.6322 meters?\nAnswer: 592632200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**5 + 160*d**4 + 448*d**3 - 32256*d**2 - 110592*d + 884736 = 0.\nAnswer: -24, -8, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvevvvv. What is prob of sequence ve?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1249 divided by 1\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/4 + 458*p**2 - 1246609*p\/4 - 312110 = 0. What is p?\nAnswer: -2360, -1, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*j = 3*r - 4132, -r - 5*j + 2040 = 0. Let c be -8 + 5 - (-3 - r*250). Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -410 - -392. What is the closest to 0 in a, -3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 4, r: 4, k: 2, x: 2, i: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006689 to 4 dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 5 = -z, 4 = -z + 2*p. Which is smaller: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/14 and -11\/2966?\nAnswer: 20762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -8)*-3 - 5. Let d(m) = 3*m + 9. Let h(t) = -2*t - 9. Let o(l) = 4*d(l) + 5*h(l). Calculate o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, j: 13, b: 1}. What is prob of picking 1 b and 1 p?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*u = 13, 3*u + 2*u = 2*k - 11. Is 10 a factor of (-14)\/(k\/(-18)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703386493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b - 128 = 0. Suppose -5*g + 3*m + b = 0, -g = 4*g + 3*m - 122. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*f = 5492, 3*g - 5*f + 9*f = 8278. Suppose 5*t = -5*v + 511 + g, -t + 665 = -5*v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 30*p + 23. Give a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -13, 0.889, 1\/5 in decreasing order.\nAnswer: 6, 0.889, 1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920017.3 rounded to the nearest 1000?\nAnswer: 2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*o - 53 = -6, -4*o = 20. What is the remainder when 639\/21 - ((-72)\/(-21) + -3) is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 6, m: 6, c: 5}. Give prob of sequence jc.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 2012\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.88777239 - -0.8877. Round t to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrxxrrggrxw. Give prob of picking 1 w, 2 x, and 1 g.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 630\/(-52) - 1140\/(-9880)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*-5*3. Is h greater than or equal to 23\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -70, -5, 4 in descending order.\nAnswer: 5, 4, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/30 + g**4\/8 - 2*g**2. Find the second derivative of s(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-4))\/(3\/(-6)). Let z(y) = -y**2 - 14*y + 14. What is the tens digit of z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18060 * 2\nAnswer: -36120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 8*g**2 + g + 17. Calculate the remainder when 16 is divided by i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 15. Solve -3*h + t - 13 = 0, 3*h - 2*h + 2*t = -s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -210 - -216. What is the greatest common divisor of a and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(700) + 5 - ((sqrt(1008)*1 + sqrt(1008))**2 + (2*sqrt(21))\/sqrt(3)).\nAnswer: -4025 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = 3*c + 15, 0 = 2*b + 4*c - 8. Let g = 4 + -3. Sort b, -3, g in descending order.\nAnswer: b, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1078 and -0.1.\nAnswer: 107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p + 272 = 12*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*i + 423*i = 184*i - 235*i + 52725 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 1671357 = 558957. Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-580)\/65)\/(-1). Let b = -3951\/182 - x. Find the common denominator of b and 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 17 - (2 + 21 + -11) - (-2 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 + 4940*n**4\/7 + 4186649*n**3\/7 + 170826*n**2 = 0.\nAnswer: -497, -2\/7, 0, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-3 - -1) + 8. Let s = f - 16. Calculate the common denominator of (-21)\/s*14\/11 and -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 11*c**3 + 0 + 0.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*n = -34, 0*m + n = -2*m + 26. Suppose -2*x - 1 = 2*c + 5, -m = c + 3*x. Suppose -4*b - c = -k + 5, -118 = -5*k - 2*b. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 = 501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 20*d**2 + 52*d + 28.\nAnswer: -4*(d - 7)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-39))\/(b**(-28\/9)*b*b)*(b*b*b**11)\/(b**(5\/4)\/b) assuming b is positive.\nAnswer: b**(1939\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 281577920 divided by 47920\nAnswer: 5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -3\/4 (b) 0.5 (c) 476\/11 (d) 44\/9 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99763231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 2159, 4822, 8549, 13340, 19195?\nAnswer: 26114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 5*t + 2*m + 15, -t + m + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 3*w + 264. Solve -w - 13 = 12*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/4)\/((-4)\/(-32)). Find the common denominator of 0\/(-2) - (-68)\/(-3) and 1166\/c*(-1)\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y. Let w = 1 + -1. Let i(g) be the third derivative of 1\/24*g**4 + w + g**2 + 0*g + 0*g**3. Determine i(j(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(11) - sqrt(891)))\/(-1*sqrt(108)).\nAnswer: sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, f: 5, k: 2, x: 5, b: 1}. What is prob of picking 2 k and 1 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-5))\/((-4)\/30). Let n(c) be the third derivative of c**5\/60 - 5*c**4\/24 + c**2. Is n(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 + 3 - 0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 65 = 5*r + 45. Let x(p) = p**3 - 7*p**2 + 9*p + 7. Let v be x(7). Sort r, 1, v.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205261 at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 + -81)\/(((-24)\/(-6))\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiwjwejvjvwiwivew. What is prob of sequence vvwi?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1326 = -5*d, 660 = 2*s + 20*d - 23*d. What is the remainder when s is divided by (-2 + (-12)\/(-21))*(-7)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/4 + 4377*j\/4 - 1197288 = 0 for j.\nAnswer: 2169, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -252?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let z = 0.27 + -0.07. What is the third smallest value in p, z, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-27)*203\/(-58)*3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 22*w + 2. Let r be z(-22). Suppose -8 = -3*y + 5*t, -r*y + 5 = 2*y - t. Solve -1 - y = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.9 times 0.0211\nAnswer: 0.37769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707488 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -10113, -1.\nAnswer: -10113, -1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*l - 318 = -3*l, -4*k + 2*l + 426 = 0. Suppose -5*q + 393 - k = 0. Let g = -37 + q. Solve -x - g = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*l + 3)*(-65*l**3 + 2946 - 2946) - 2*l**2 + 4*l**2 + 64*l**4 - 2*l**2 + 3*l**4 to m*l**2 + n*l + d*l**4 + t*l**3 + k and give d.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.5, -0.5, 1\/8, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 9*v - 4. Let y(d) = 9*d**2 - 14*d - 6. Suppose 54*l + 12 = -120 - 138. What is l*y(g) + 8*u(g)?\nAnswer: 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213826 is divided by 880.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + (sqrt(70) - sqrt(70)*2)\/sqrt(10) + sqrt(21)\/sqrt(3) + 5)*4)**2*-6.\nAnswer: -6534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/3 + 16\/(-28). Let x = -0.038 - -0.036. Let g = x + 2.002. Which is the third biggest value? (a) -0.04 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -996 - 522. Let y = g - -209. Suppose 0 = 5*t + 5*u - 265, 2*t - 5*u = -0*t + y. Calculate the greatest common factor of 120 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149800?\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2168, 4439, 6706, 8969, 11228, 13483?\nAnswer: 15734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/49, -10, -1?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by -5\nAnswer: -142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 1886?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133750 or 668756\/5?\nAnswer: 133750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385) - sqrt(385)*-1)*-4 + sqrt(385))\/(sqrt(1008)\/sqrt(9) + sqrt(7) + sqrt(7)))\/(sqrt(125)*-2*-6 - (sqrt(125)*1*-3 - sqrt(125))).\nAnswer: -7*sqrt(11)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 - 7*x - 11. What is the units digit of r(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -3. Let p = -2.2 + 2. Let q = 450.9 - 451. What is the closest to q in p, -10, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in months?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -971583, -3 in descending order.\nAnswer: 3, -3, -971583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/637 and 4\/160251?\nAnswer: 1121757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 5*d - 256 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - 9*q - 9. Let x be s(-5). Does 16 divide x\/56 + (-770)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202532425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21)\/sqrt(3))**2 - (1*(0 + sqrt(7)))**2) + (-5*sqrt(252)\/sqrt(81))**2.\nAnswer: 574\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230181004.\nAnswer: 2, 13, 23657327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*c = -681*c + 117 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let w = -3.705 - -0.705. Put a, w, 0.09, 0 in decreasing order.\nAnswer: 0.09, 0, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, 0.97, -0.3, -3\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -19*a + 65. Suppose 10 = 4*o - a*t, -2*t + 13 = o + 2*t. Solve -o*r = v - 7, -v - 2*v - 11 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -1, 2639 in ascending order.\nAnswer: -182, -1, 2639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (468\/8)\/3 + (-4)\/8. Solve 20*l = v*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + q + 19, -c + 5*q = -0*c - 19. Let k(x) = 2*x**2 - 4*x + 5. Let l be k(4). Let p = l - c. Solve p*g - 7 = -3*j, -2*g = -g - 3*j + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - u. Let d(p) be the second derivative of p**4\/3 - p**3\/3 - 3*p. Let a(w) = -w**2 - 33*w - 55. Let j be a(-31). Determine j*m(o) - 3*d(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**4 + y**3 - y**2 - 4*y + 6. Let h(u) = 19*u**4 + u**3 - 3*u**2 - 7*u + 11. Let x(c) = -11*b(c) + 6*h(c). Determine m so that x(m) = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*i - 69*i + 30*i**2 - 141*i**2 + 260*i**2 to the form x*i**2 + n + c*i and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = z - 11 - 117, -319 = -3*z - o. Suppose 2*y + 2*y - z = 0. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (30 - -6 - 86).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 41160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95673 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*x**4 - 3*n**3*x**2 + 4*n**2*x**2 + 274*n*x**3 - 11*n*x**2 - 13*n*x + 11*x**4 wrt x?\nAnswer: -24*n**3*x + 1644*n + 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/2)\/u**(-2\/13)*u**(-16)\/u*u*u\/u**8 assuming u is positive.\nAnswer: u**(-659\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38474137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2 + 6*r + 4. Let t be w(5). Let o = 250 + -96. Let g = o - t. What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 - d**3)*(638*d**2 + 556*d**2 - 232*d**2).\nAnswer: -962*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**(-22)*(i*i**(3\/4)*i)\/(i*i**(-9)) assuming i is positive.\nAnswer: i**(477\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-11)\/((-330)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -51*g**2 - 13*g + 5. Let l(m) = 152*m**2 + 37*m - 18. Determine -17*c(r) - 6*l(r).\nAnswer: -45*r**2 - r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*h - 0*h + 12, 2*h = 4*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185009 and 2228865?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/10)*a\/(a*a**(-3\/4)*a)*a*(a\/(a*a*a*a*a*(a**(1\/7)\/a)\/a*a))\/a**(-2\/37) assuming a is positive.\nAnswer: a**(-10561\/5180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j + 75. What is a(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x + 48 = 0. Let a be ((-6)\/4)\/((-3)\/x). Suppose 0 = -4*v + 3*l + 2, 2*v - 2 + a = 5*l. Put v, -2, 3 in decreasing order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-68)\/(-6))\/((-4)\/(-6)). Let w = r - 12. Calculate the remainder when w is divided by 2 + (1 - (-2 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 882 = 0. Factor 10*a**3 + 30*a**2 + 20 - 5*a**3 + v*a - 396*a.\nAnswer: 5*(a + 1)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 5*w - 16. Let n = 54 + -57. Let b(o) = -2*o**2 - 3*o + 8. Let z(u) = n*a(u) - 5*b(u). Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1334511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/378 and 29\/1992?\nAnswer: 125496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.8 - 5.5. Let y = x - -0.7. Let l = -2 + 2.2. What is the second biggest value in l, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4944999 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 10*q**2 - 37*q + 57. What is the remainder when 124 is divided by d(13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-3)\/(-6) + -2) - -5. Suppose i*a + 91 = o, -182 = -3*o + 4*a + 86. What is the least common multiple of 4 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/72 - 3)*(-197 + 185)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 1, c: 2, v: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2211, 4428, 6645, 8862?\nAnswer: 11079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4504 - 27*t**2 - 563 - 2091*t + 29*t**2 + 2092*t as o*t + g*t**2 + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1979 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 12*m - 12. Let b be d(13). Let g(i) = 24*i. Let z be g(b). Let q be 133\/294 - 1\/6. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 26 + 10. What is the second derivative of m*p**2 + 2*p**2 - p - 2*p**2 - 5*p**2 wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a66 (base 14) to base 9\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 + k**4\/24 + 35*k**3\/6 - 31*k**2. Let c(s) be the first derivative of u(s). Determine c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.3 + -19. Let b = i - -0.7. Let t = b - 2.006. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -11*k - 152*k - 57*k + 690 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -5 + sqrt(21)\/sqrt(3).\nAnswer: -13 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 167486749264039 - 167486749264039.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 267247791953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.86 * -5\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 3*w = -4*p - 18, 5*p - 4*w = 91. Solve 15 = 3*s, -z = z - 5*s + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -307, -4, -0.01, 0.02084?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1245 + -1203. Solve -18 = 6*v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t**3 + t**2 - 7*t - 13. Let g(a) = 7*a**3 - 3*a - 6. Let r(x) = -7*g(x) + 3*w(x). Let p(b) = 3*b**3 - 5*b**2 - 5. Determine 3*p(q) + 5*r(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 4 + sqrt(1088) + sqrt(1088))**2 + (-4*sqrt(153))\/sqrt(9).\nAnswer: 188*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(1\/11)\/(v\/(v*v*v**1*v*v))**13 assuming v is positive.\nAnswer: v**(575\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92616317 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11051.9133 + -11055. Let v = q + 0.0867. Which is the nearest to -0.1? (a) 0.3 (b) 2\/5 (c) -3\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3127 = -237*m + 2561 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.24 and -2892463182946.\nAnswer: -2892463182945.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 0.3 (c) -1\/5 (d) 0.6662 (e) -218\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31.52191 + 233178\nAnswer: 233146.47809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184212*p**4 + p**2 + 2572*p - 7.\nAnswer: 2210544*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-2)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*i*k**2*n - 3*h**2*i*k**2 - h**2*k**3*n + 2*h**2*k**2 - 4*i*k**3*n + 3*i*k**2 + 28*k**3*n wrt k.\nAnswer: -6*h**2*n - 24*i*n + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8037688 (base 10) to base 8\nAnswer: 36522470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (0 - (-3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4419 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82761*x**3 + 2*x**2 + x - 61.\nAnswer: 496566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1629601 (base 13) to base 10\nAnswer: 7132477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598132 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let i(y) = 1525828*y + 9. What is i(f(u))?\nAnswer: -1525828*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 53, 84, 137, 218, 333, 488?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 30\/20021?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8601317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13834*n**2 + 8478*n wrt n?\nAnswer: -27668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517877186?\nAnswer: 2, 3, 7, 601, 60133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfpz when four letters picked without replacement from {f: 1, g: 1, p: 5, s: 2, z: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593039.\nAnswer: 607, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -558*l - 1761 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -596511, -596510, -596509?\nAnswer: -596508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 70) + (0 - -18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847308490124 - 0.28?\nAnswer: -2847308490124.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - (sqrt(126) + (sqrt(126)*1 - sqrt(126)))*2)\/(2*sqrt(7)*-3)*-4*1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 15*b + 2. Let j(t) = t**2 - 4*t. Let z(x) = -3*j(x) - k(x). Let h(l) = 9*l**2 - 5*l - 5. What is -3*h(i) + 5*z(i)?\nAnswer: -2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -586, -585, -584?\n\"Answer: w - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -56*n**5\/5 - 726*n**4\/5 + 6806*n**3\/5 + 7258*n**2\/5 - 150*n - 532\/5 = 0.\nAnswer: -19, -1, -1\/4, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(264) - 1*sqrt(264)))\/(sqrt(18)\/sqrt(3)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 6*f**2 + 8*f - 1. Let o = 28 + -23. Let a(d) = -2*d + 9. Let r be a(o). Let x(m) = 8*m**2 - 1. Let i be x(r). What is t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81596352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + z - z + (-2*z**2 + z**2 + 3*z**2)*(2*z - 3*z + 2*z) + 0*z**3 + 3*z**3 - 2*z**3 + 200*z**2 + 195*z**2 - 389*z**2 + 21*z**3.\nAnswer: 25*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 43*b**2 + 44*b + 1 = 0.\nAnswer: -1, -1\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4868 and 29\/24?\nAnswer: 29208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2 + 12 - 151*y + 155*y + 29*y**2. What is the units digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253795 or 253794?\nAnswer: 253794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -185, -183, -181, -179, -177, -175?\n\"Answer: 2*n - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9736, 38805, 87244, 155047, 242208, 348721, 474580?\nAnswer: 619779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (1 + (14 - (-6 + 9)))) + -65.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -49. Calculate the lowest common multiple of o and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207940 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(544)*2*3 + sqrt(544) - sqrt(544)) + sqrt(544))\/((-1*sqrt(2904))\/sqrt(12)))**2.\nAnswer: 13328\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63205296 and 36296.\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483 = 77*i + 124*i + 11176 - 1452 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204645 is divided by 9360?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -59, 0.4, 0.065, 0.6 in ascending order.\nAnswer: -59, 0.065, 0.4, 0.6, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 3*j + 4. Let p be h(-3). Let b be 14\/p*0\/1. Suppose 0 = 3*m - 3*z - 27, -m + 2*z + b = -8. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65151, -130372, -195593, -260814, -326035, -391256?\n\"Answer: -65221*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:48 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*d - 2379 + 674 = 0, 3*d = -5*y + 2832. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6849526 decades?\nAnswer: 0.06849526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 - 204*n**3 - 163*n**2 - 1 wrt n?\nAnswer: -24*n - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905, 1925, 2955, 4001, 5069?\nAnswer: 6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/277123 and -79\/158356.\nAnswer: 1108492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -51*t**2 + 0 + 50*t**2 + 2 + 1 + t. Let g = 5 - 2. Determine z(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*12\/378)\/((-280)\/784)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.3 - 18.427. Let i = t + 5.207. Let d = 0.08 - i. Which is the closest to 0? (a) -1 (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1\/(-2) + 35579\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(108) + 0 + 3)**2 - ((sqrt(108)*-2 + -3)**2 + sqrt(108))) - (3 + (5*(-2*sqrt(108) + sqrt(108))*-2)**2)) + 0.\nAnswer: -10479 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08348 + -0.01466. What is d rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2663205 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -5, 37, 121, 259?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232110 and 324954?\nAnswer: 1624770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x = -7290, 0*t + 5*x = t - 1436. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13045 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24268681?\nAnswer: 19, 1277299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*y - 3*c - 118, -2*c + 23 = 27. Suppose -1\/5*r**3 - 1\/5*r**y + 0*r + 0 + 0*r**2 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3\/3 - 7*v**2\/2 - 8*v + 324. Let g(b) = 0. Calculate b.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.2. Let y = z + 0.1. Sort y, 4, -5 in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 28 = 4*x, -227*w + 231*w = -5*x - 46 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27212, -27185, -27170, -27173, -27200, -27257, -27350?\nAnswer: -27485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 301666 (base 7) to base 6\nAnswer: 1032334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r**(1\/11)\/r*r*r))*r)*(r*r**(-4))\/r*r*r)\/(r\/(r**9\/r)*r**(-2\/11)*r) assuming r is positive.\nAnswer: r**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*v = 374*v - 13. Is (14 - v)*1402 - (4 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s + 26. Calculate w(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5578*l**4 + 2475*l**4 - 2591*l**4 + (5*l**2 - l**2 - 2*l**2)*(-6*l**2 + 4*l**2 + 4*l**2) - 3*l**2 + 3*l**2 - l**4.\nAnswer: 5465*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 13*h**2 + 4*h - 11. What is n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t - 2. Let p be x(4). Find the second derivative of 5*o**4 - 10 + p - o wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a + 1. Let x be n(-1). Let d = x - -8. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.114 + 0.186. What is the closest to 2\/7 in -2, k, 1.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*g + 461094 - 1357402. Calculate the highest common divisor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 15 = 26082*u - 26079*u, 5 = -u + 4*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/83031615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-636)\/(-53))\/((60\/9)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - x + x)*(-8 + 3 - 5) + 5*x - 3*x - 4*x + (-3*x - x + 2*x)*(13 - 11 - 16) to the form p*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 3, m: 2, t: 1, c: 9, l: 1}. What is prob of sequence cjl?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 85\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/4 + 1)*-18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + 3\/6*-6. Let z(n) = n - 6. Let u be z(d). Suppose -q = 5*r + 3*q + 12, 3*r + 3 = -q. Solve 5*k - u - 2 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 1.3 (c) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*a - 15279 - 11106 = -9951 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-21))\/(-1) - (-4)\/14. Suppose -4*x + 16 = -2*j, -t*j + 9 + 20 = 5*x. Suppose 2*a + 5*q - 10 = 3*q, -5*a = -x*q + 5. Solve -a*g = 2*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 + 3 - 3)*(-2 + 5 - 5) + 3*b**2 - 3*b**2 + 2*b**2 - b**2 - 2*b**2 + 5*b**2 - 3 - b**2 + 3 + b**2 - b**2 + b**2)*(361 - b**3 - 361 - 13*b**2).\nAnswer: -6*b**5 - 78*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916315 is divided by 40503.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 49\/20*b**6 + 0*b**4 + 0*b**3 + 0*b - 7\/15*b**5 + 0 - 144*b**2. What is the third derivative of w(r) wrt r?\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 1. Let i(b) = -6*b**2 - 5*b + 1. Let z(m) = i(m) + 3*t(m). Let k(q) = 48*q**2 + 33*q + 33. What is 2*k(u) + 33*z(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/5 + 88*g\/5 + 484\/5.\nAnswer: 4*(g + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7917 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/34*-17)\/(42\/(-630))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 3*b - 2*b + (-4*b + 2*b + 0*b)*(1 + 0 + 0) - b + 3*b - b + (-3*b + b + b)*(-1 + 3 + 0).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4299*m - 8610*m + 4311*m + 312*m**2 in the form c*m**2 + t + l*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 4, -2\/9, 0.05, -20, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1149384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3047\/5)\/(54\/270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/744648 and -39\/2024.\nAnswer: 8191128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2261 and 5399591.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtjj when four letters picked without replacement from {j: 13, t: 5}?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*u**3 - 2\/3*u**5 - 2\/3*u**2 + 0*u + 2\/3*u**4 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 1, m: 6, w: 7}. What is prob of sequence mm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1708260 by 1420.\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780593?\nAnswer: 3, 593531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 3*q + 4 + q**3 - 2*q**2 + 0*q**2 - 4*q. List the prime factors of x(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 5*b - 3. Let p(i) = i - 1. Let s(h) = 3*h + 85. Let r be s(-25). Suppose 35 = -r*v - 25. Let x = 54 - 53. What is v*p(f) + x*m(f)?\nAnswer: 2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124395402 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46082 - 22088 = 802*r for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 34 - 4 + 4*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - 2*h)*(2417 + 4383 + 3175 - 1225) to the form z + o*h and give o.\nAnswer: -17500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/104 + (-9)\/12. What is the second smallest value in 2, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from skkoxzskok?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*s + 301, 149 - 15 = u - 3*s. Suppose -3*m - y = -117 - u, -2*y - 415 = -5*m. Calculate the remainder when m is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60838252, -121676490, -182514728, -243352966, -304191204, -365029442?\n\"Answer: -60838238*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483706 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i + 3075 + 4333 = 0, -m + i + 1482 = 0. Suppose -5*j + m = p, 5*j + p - 1477 = 4*p. What is the greatest common factor of j and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -74086?\nAnswer: -7408a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1070)\/150)\/((-12)\/15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 0, 40, -2 in increasing order.\nAnswer: -11, -3, -2, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let v = -4.2 - -0.2. Which is the closest to g? (a) 2\/23 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 32*g - 36*g - 3*p, -5*p + 34 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2. Let s(i) = 19 - 827*i + 1654*i - 828*i - 166. Determine s(o(y)).\nAnswer: 3*y**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*r - 9. Suppose 26 + 14 = r*s. What is the units digit of 4 + s + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.338875505*0.2\nAnswer: -0.067775101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 b when four letters picked without replacement from {b: 2, o: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 170716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21814 - -94321\/4. Let x = 10745857\/6084 - k. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-32) - ((-99)\/24)\/33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*o + 2, 5*o = 3*y - 13 + 3. Let x = 16 - y. What is the smallest common multiple of x and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7355 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -173, -260, -359, -470, -593, -728?\n\"Answer: -6*t**2 - 69*t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-455)\/130*((-4296)\/7 + (-4)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/40 and -9\/1684?\nAnswer: 16840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 2*j - 310 + 320, -2*m - 16 = 5*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 13. Let v(k) = 7*k - 23. Let x(h) = 3*v(h) - 4*w(h). Let i(c) = 6*c. What is x(i(f))?\nAnswer: -18*f - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7936.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-5 + -997)\/6 - -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3. Let c(y) = -y - 1. Suppose 16*i = 15*i + s + 1, -s = -5*i + 5. Give i*h(g) - 3*c(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23854811?\nAnswer: 23854811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:42 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15199989 less than 0.2?\nAnswer: 15199989.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 - 1. Suppose -4*c = 5*f - f, -4*c = -5*f + 9. Let d(n) = 9*n**3 + 6*n**2 + 8. What is f*d(o) + 6*z(o)?\nAnswer: 3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1315, 1912, 1791, 952?\n\"Answer: -359*k**2 + 1674*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/6 - 82*k**2 + 20655*k\/2 - 59049 = 0?\nAnswer: 6, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -2 - (-38 - -102 - 82)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6448 to 1 dp.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-23)\/3864*12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1687 = 5*w. What are the prime factors of w?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/30)\/(((-30)\/(-18))\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. Suppose -k*x - 15 = g, x + 3*g + 11 = -g. Let d = x + 9. Solve 2*m + 0 = d, -5*l + 20 = 5*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-694)\/4) + (-5)\/(-10). Let r = z - 171. Solve 0 = -r*k - i - 21, 3*k = -k + 3*i - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 228\/(-3306) + 2945\/10324?\nAnswer: 3916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/5 + 49908*l\/5 + 339182628\/5 = 0.\nAnswer: -5182, 21818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 6 = 17*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7740120*d**3 - 15480147*d**3 + 7740132*d**3.\nAnswer: 105*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -458205471.6 rounded to the nearest one million?\nAnswer: -458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -12025*y**4\/4 + 36785*y**3 - 83185*y**2\/2 + 7855*y - 165\/4 = 0.\nAnswer: 1\/185, 3\/13, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -749*a + 42741. Determine p(57).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4902565461, -4902565460, -4902565459, -4902565458?\n\"Answer: z - 4902565462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007903 to 4 decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.8. Let d = -2.3 + 2.3. Let k = v + d. Which is the closest to k? (a) 1 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9933 and 1032?\nAnswer: 79464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -696 + 698. Which is the closest to -1.2? (a) 3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18235 and 3150.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/210 and (1135\/(-40) - 5)\/(6\/4).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 28249*i**2. Let u(v) = -429*v**2. Give g(u(b)).\nAnswer: 5198974209*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-6 - (-6 + 3 - 2)) + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3548*g = 3544*g - 4 - 4, -7*q = 2*g + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -27. Let v = 3 + -3.2. Which is the third smallest value? (a) y (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-3 + 1 + (sqrt(5) - (2 + sqrt(5))) + 4)**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 166\/(-58) + ((-1995)\/(-35))\/19\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1)\/(-2 - (-60)\/28). Calculate the greatest common factor of u and 546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 555116*x**2 + 2220528*x.\nAnswer: -4*x*(x - 4)*(x + 138783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 148, -2, 1, -3 in decreasing order.\nAnswer: 148, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(242) - sqrt(242) - sqrt(242)) + 1 - -1*sqrt(242)*2)**2 - (-1*sqrt(242) + 5 + 3 + (sqrt(242) + -2*sqrt(242) - sqrt(242))))*-4.\nAnswer: -940 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.932 and 3.\nAnswer: 113.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -79*c + 2801. Let m be o(35). Calculate the highest common divisor of m and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15142, -13872, -12602, -11332, -10062?\n\"Answer: 1270*c - 16412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than 4387?\nAnswer: 4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*q + 17, -6 = 2*q - 5*g - 11. Put -2\/5, q, 2\/3 in ascending order.\nAnswer: -2\/5, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s + t, 24 = 4*s + 2*t + 8. Solve 3*n - s - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14280399?\nAnswer: 3, 7, 83, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 5813?\nAnswer: -12\/5813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2*r + 2 - 2*r + 5*r**2. Let w = -105 - -116. Suppose -1 = w*q + 10. Let x(i) = -i**2 + i - 1. Calculate q*z(d) - 2*x(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*t + 5*g + 34, 0 = -t - 4*g - 28. Let s = -250 - -139. Let f = t - s. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 22. Let b be v(17). Suppose g - b*m - 43 = 0, m = 4*g - m - 244. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a factor of 806744442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23785247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 4*l - 5. Let a(o) = 127*o + 1 + o**3 - 61*o - 65*o. Suppose 4*g - 8 = 2*f, -4*g - 3*f + 8 + 20 = 0. Give g*a(m) + p(m).\nAnswer: 3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 437*i**3 + 2*i**2 + 100*i + 3. Let a(c) = -436*c**3 - 2*c**2 - 80*c - 2. Calculate -5*a(q) - 4*u(q).\nAnswer: 432*q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*d = -d + 25, 90 = 3*u + 2*d. Suppose -666 = u*b - 25*b. Let k = -99 - b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 4*u + 0*u**3 - 5*u**3 - 2*u.\nAnswer: -7*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4606314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.9 - -0.2. Let r = d + 9. Let q be 6 + -8*69\/90. Which is the nearest to 1\/2? (a) -3\/7 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Suppose 3*b - 2*b = -v*l + 28, 2*l - 3*b = 28. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 21*y - 17*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1027*s - 736. Let t(q) = -q**2 - 1027*q - 742. Let w(x) = -5*c(x) + 4*t(x). Find the first derivative of w(l) wrt l.\nAnswer: 2*l + 1027","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 4*n - 2*n)*(-3*n**3 - n**3 + n**3).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssskskss. Give prob of sequence skk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -105, -283, -461?\n\"Answer: -178*s + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16912 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 6*z. Let r(d) = d**3 + 4*d**2 - d + 223. Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/12 - 3\/(-12). Let b = -2471.052 - -2466. Let m = 0.052 + b. What is the smallest value in s, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -12*t**7\/7 - t**4\/4 - 319*t**3\/3 + 27. What is the third derivative of l(y) wrt y?\nAnswer: -1440*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80857030 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 6*s**3 + 4*s + 6*s**2 + 8*s - 11*s. Let r(c) = -2*c**3 - 2*c**2 - 2*c. What is 10*r(h) + 3*t(h)?\nAnswer: -2*h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544561 is divided by 747.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2122528, -2122526, -2122524?\n\"Answer: 2*q - 2122530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/40971 and -16\/48960345?\nAnswer: 48960345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (19360\/3520)\/((-11)\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*w**2*z**3 + 98*w**2*z + z**2 wrt z?\nAnswer: 528*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308078011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 90 = 6*r + 8*r. Let v(o) be the second derivative of o**3\/6 + 2*o**2 - o. What is v(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/513*450\/500*(-5)\/(-6). Factor -12 + x*g**2 + 5\/3*g.\nAnswer: (g - 4)*(g + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021285.\nAnswer: 5, 157, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7*t + 154. Calculate the common denominator of 35\/6 and (t\/(-56) + 1)\/(19\/14).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, 171?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 530 - 821. Let s = x + 696. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (18 - (53 - (-15 - -30))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -55. Let z = -20 - d. Suppose z*n + 11 = 15. Which is the nearest to n? (a) 4 (b) -2\/13 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 2858394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -672*l**3 + l**2 - l - 1. Is u(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 14. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 36 + 31 = 0, 2*j - 7 = -3*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x + 2, 4*x - 5 = -3*s. Suppose 0 = -s*a + 12 - 3. Solve 0 = 4*c + 17 + a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {x: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64928076 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6588, 41, 176, 5 in descending order.\nAnswer: 6588, 176, 41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.86793 to one dp.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -48. Solve 2*x + 10*n = 5*n - 16, -2*x - 2*n - o = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15181503?\nAnswer: 3, 389, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1\/3*c**3 + 1\/24*c**4 - 3*c**2 + 0*c + 0. Let n(h) = -5*h - 11. Calculate -11*f(s) - 2*n(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 4)\/((-3)\/(-8295)). Let r = 16465 - i. Round r to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2814679.\nAnswer: -8\/2814679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113014 (base 8) in base 15?\nAnswer: -b1ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 18*f**2 + 33*f + 176. Let l be z(15). Which is the second smallest value? (a) l (b) -3 (c) -1\/7 (d) 6 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 - (-454)\/840. Let q = 529\/420 + k. What is d in -q*d**2 - 2\/5 + 2\/5*d**3 + 6\/5*d = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + -36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f**2 - 39 - 62*f - 1481*f**3 + 36 + 1479*f**3 to the form i*f + u*f**3 + h + v*f**2 and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**7\/210 + v**4\/12 + 3*v**2\/2 - 1. Let s(d) be the second derivative of p(d). What is the second derivative of s(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 - 40*c**4 + 4 - 4 + 38*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -18\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 958525564 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2346570 and 4.\nAnswer: 4693140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:48 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:44 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15188 take away -0.1?\nAnswer: -15187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 less than -0.157115031?\nAnswer: -308.157115031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400243704 and 318640?\nAnswer: 4002437040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 371 - 347. Suppose -x*o = -0*o - 72. Let h(c) = 5*c - 2*c - 2*c + 1. Give h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 - 115*d - 667. Determine r(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1125332?\nAnswer: -1125323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1628111 to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z**4 + z**4 - 6*z**4)*(18 + 65 + 9 + 13) to the form c*z + q*z**4 + p*z**2 + a*z**3 + v and give q.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**2 - c + 1. Let q be x(1). Let a be 2\/q - (-2 - -2). Sort a, -2\/13, -0.2 in increasing order.\nAnswer: -0.2, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 15*d**2 - 17*d + 12. Let a be (-1)\/((-47)\/(-16) - (-13 - -16)). Calculate b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 4. Let g(a) = 2*a - 3. Let x be g(i). Suppose -2*l + 6 = 3*n, x*n + 34 = -0*l + 4*l. Solve -2*v = v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6596940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - -2. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1628959 divided by -3.\nAnswer: -1628959\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/4 + 4*g + 32. Let j(o) be the second derivative of -2*o**3\/3 + o. Give j(y(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from uxxu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8709 divided by -1448\nAnswer: 8709\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*x - 96*x + 147747 = 2986*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {m: 2, h: 2, x: 2, k: 1, c: 1, v: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 2. Let n(c) = -c. Let p(s) = i(s) - 3*n(s). Let u be p(-4). Let g(l) = -l**2 + l + 1. Let b(d) = -5*d**2 + 6*d + 6. Give u*g(o) + b(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 24395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 363*l**2 + 22*l + 100*l**2 - 557*l**2 + 68 + 95*l**2. Calculate c(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-18)*(-10)\/(-80)*28\/(-18)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -45334.\nAnswer: 6\/22667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 4. Let z(m) = -m**3 + 17*m**2 - 15*m - 30. Let t be z(16). Determine d(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16*s**2 + 2*s - 3. What is w(-2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 - 1 = 0. Suppose 0 = d*r + c - 30, 8 = r - 7*c + 4*c. What is the highest common factor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.95. Let q = a + 0.05. Put q, -0.4, -0.2 in descending order.\nAnswer: q, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778293.\nAnswer: 3, 86477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j - 27. Let u be f(5). Suppose 3*w = -0*w + 51. Let r = w - 3. Solve 5*b + 25 = -u*o, -b = -3*o - r + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274515\/2 + -137255. Factor -k*h**2 + 0*h + 10.\nAnswer: -5*(h - 2)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 12*j - 13. Let g(q) = 3*q - 7. Let a be g(6). Let d be i(a). Let k = 11 + d. Solve -u + 5*l + k = l, -8 = -u + 3*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 - 16*h. Let y(u) be the first derivative of -u**4\/2 + 5*u**2\/2 + 16. Determine -5*r(k) - 16*y(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15754 is divided by 3077.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*b + 10 = -3*b, 0 = -w - 4*b + 2. Is 83 a factor of (-2 + (-3651)\/(-6) + -5)*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 3, -5, 2, -6, -8 in increasing order.\nAnswer: -8, -7, -6, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 946\/77 - ((-1)\/(-4) - 1\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 9. Let j = 1 - -1. Suppose -6*y + v = -y - 77, -5*y + 79 = -j*v. Solve 0 = -n*h - 2*h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -267, -5, -1\/2, 3\/7 in decreasing order.\nAnswer: 3\/7, -1\/2, -1, -2, -5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 8 - 7)*(-5*h**2 + 10 - 10) - 1 + h**2 + 1 + (-h + 3*h - h)*(-h + 7*h + 3*h).\nAnswer: 185*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-3)\/((-9)\/(-15)). Let g(y) = y - 4. Let m be g(w). Solve 0 = 6*u - 4*u + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*p - 4. Let b be -3 - 8*p\/(-3). Suppose -1 = l + 2. Let r(o) = -4*o**2 - 2*o. Let c(m) = -7*m**2 - 3*m. Give b*r(t) + l*c(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -122*1*((-300)\/(-480) + 621\/(-8)).\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 1 (b) 84 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88a3a04 - 19?\nAnswer: -88a3a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o - 4. Suppose u - 6 = -u. Let g be f(u). Let i be (-459)\/(-2142) - 41\/182. Do g and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-24))\/((-11)\/2200*-3). Which is smaller: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 11. Let t be ((-6)\/9)\/((-6)\/r). Which is the second biggest value? (a) t (b) -0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -213?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9355223334*m**2 - 9355223334*m**2 - 326*m**3.\nAnswer: -326*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1287386646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101001121 (base 3) in base 14?\nAnswer: -1a298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 > -12.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 2*f**2 - 2864*f + 11492. Determine d(4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -35*n + 8. Does 4 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 0 + 1\/2*s**2 - 4*s + 3\/4*s**4 + 1\/6*s**3. What is the lowest common multiple of 6 and j(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437443us in seconds?\nAnswer: 0.0000000437443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -28, 1, 30, 59?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 14287608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-17))\/5*(-9)\/((-81)\/2)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -22022020101200020?\nAnswer: -22022020101200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)*(356 - 5\/(-5)). Suppose 0 = d*r - 1077*r + 684. Calculate the lowest common multiple of r and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, r: 2, b: 4, u: 2}. What is prob of sequence rar?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 37358*t**3 + 698594159*t**2 + 29291548566*t + 614776741929\/2.\nAnswer: (t + 21)**2*(t + 37337)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73743.3 and 1?\nAnswer: -73743.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7*f - 32 = 0. Suppose 0 = 2*p - u - 2, -6*p + 2*p + f*u - 4 = 0. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v - 2. Let b be ((-8)\/6)\/((-4)\/6). What are the prime factors of k(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 - 83129*t**2\/3 + 664888*t - 3989040 = 0. Calculate t.\nAnswer: 12, 83105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118082383.\nAnswer: 353, 334511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3014 - 3008. Put w, -27, 1 in ascending order.\nAnswer: -27, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*d = -2058 + 11272 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - p + 6. Let a(l) = 3*l**2 - 2*l + 5. Let i(g) = 3*a(g) - 2*q(g). Give i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63894*i - 350*i**2 + 63894*i.\nAnswer: -350*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/13 + 270678*g**3\/13 - 9160893396*g**2\/13 + 173964144320*g\/13 - 164803521600\/13 = 0.\nAnswer: 1, 18, 67660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293849772 is divided by 3775?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1111 - -1146. Let a be (1\/(-21))\/(j\/(-15) - -2). Factor -1\/7*s**2 + 1\/7*s**4 + a*s - 1\/7*s**3 + 0.\nAnswer: s*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1465682071 minus 39.6?\nAnswer: -39.7465682071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -993 - -415.184?\nAnswer: -577.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72159156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1118 - 1120. Which is the fifth biggest value? (a) 0.5 (b) -1 (c) 1 (d) h (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152235*f**4*z - 2*f**4 + 3*f*z - 1165*z - 425 with respect to f.\nAnswer: -608940*f**3*z - 8*f**3 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {r: 9, c: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02449262717 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + d - 1. Let h(p) = 9*p**2 - 2*p + 3. Give 5*g(q) + 3*h(q).\nAnswer: 2*q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/692 or 0?\nAnswer: 1\/692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -1 + ((9 - 10) + 6 - 3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*k = 175 - 237 + 723 + 679. What is s in 26\/7*s**4 - k*s + 2\/7*s**5 + 68\/7*s**3 + 14 - 124\/7*s**2 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-36518*s**4 + 51784*s**4 - 2*s**3 + 1 - 24630*s**4) in the form h*s**2 + r*s**4 + n*s + o*s**3 + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 1883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/20 + 2*n**2. Let d(x) = 21*x**3. Let j = -124 - -106. Determine j*b(w) + 5*d(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - t + 53, -18 = 12*c - 14*c - 2*t. Let r = -212 - -214. Calculate the smallest common multiple of r and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21516601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 - 231.9. Which is the nearest to -8? (a) h (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 339.5 * -0.08046.\nAnswer: -27.31617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-578))\/(3500\/11900)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - 16\/40. Suppose t = -5*m + 2*k + 188, 4*m - k - 51 = 97. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - r + r + 3 + r - 3 + (-2 + 0 + 0)*(3*r - r - 4*r))*(2 + 7*r + 17*r + 75*r) to the form q + h*r**2 + z*r and give h.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224 - -572. What is the least common multiple of 4 and a?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5))**(6\/13)\/((a**(-8)\/a)\/a*a*a*(a\/a**20)\/a))**17 assuming a is positive.\nAnswer: a**(30736\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyy when three letters picked without replacement from {y: 4, k: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28*(34 + 3660\/(-105))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7174465 months in millennia?\nAnswer: 0.000226453875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x - 16. Let z(w) = 78 + 62 + 10*w + 110 - 274. Give 7*l(f) - 5*z(f).\nAnswer: -f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.782 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {v: 2, s: 1, g: 3, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 + 10*a**3 - 2481*a + 11*a**3 - 419*a**2 - 3886*a**2 + 855*a**2 = 0. What is a?\nAnswer: -1, 2\/7, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.5, 0.3, -95, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1321\/5 - -265. Suppose -16 = -3*o + o. Let d = o + -13. What is the closest to -1 in n, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37*(-6216)\/(-4107))\/(7\/(-12)*-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003 = 5*p - 1237. Let z = p + -446. Solve -z*q + 3 = -r, -2*r - 8 = r - 5*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -18, -1 in ascending order.\nAnswer: -18, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 - -141. Suppose 3*y + 873 = -3*k - 0*k, 5*y = -3*k - 1445. Let h = t - y. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1016 and -59\/14.\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13294 + 13299. Solve -4*g + 5*l = -32, 5*g - 54 = q*l - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/570188 and 87\/20?\nAnswer: 2850940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14307*d**4*h + 3*d**4 + 7*d**3*h - 2*d**3 + d**2*h - 27*d**2 - 13598*d*h wrt d.\nAnswer: 343368*d*h + 72*d + 42*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-12))\/(-19 + (-22815)\/(-1200)). Let k(c) = 9*c**2 - 10*c - 7. Let x be k(5). What is the highest common divisor of x and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 10) to base 14.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let k(t) be the second derivative of -7*t - 47\/6*t**3 + 0*t**2 + 0. Calculate k(w(v)).\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 3*q - 188, 80 = q + 5*w. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7052993, -7052988, -7052983, -7052978, -7052973?\n\"Answer: 5*k - 7052998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 5*x + 18 = 0, 12 = -5*v + 3*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*c + 12, -4*x - x - 24 = 2*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - b + 2 = -6, b = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**3 - y**2 + y + 2. What is the lowest common multiple of 22 and z(-1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 23. Let k = g + -7. Suppose f = -6*l + l + 17, k*l + 5 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 3dc5?\nAnswer: 3dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27821 = -483*j + 19127 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 14*t + 35. Let g be p(10). Put 10, 5, g in decreasing order.\nAnswer: 10, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:05 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 6. Let u be n(3). Let h(w) = -4 + u*w**3 + 14*w**2 - 7*w**2 - 4*w**3 + 0*w**3. What is h(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 11574727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, -0.09, 1\/181, 7412?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 9*l**2 - 7*l - 9. What is g(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 10*u - 55*u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12316 + -12.\nAnswer: 12304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10*n = -11*n + 13, n - 33 = -3*w. Suppose -31 - 1 = 8*a. Let v be 19 + (1 - 0\/a). Calculate the highest common factor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*p, -p - 2*l = -l. Suppose -s - 2*s + 30 = p. Suppose 2 = -2*n + s. Solve 5*q - 9 = -n*r, -q + 21 = -5*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 37*f + 254. Let k be x(7). What is the greatest common divisor of k and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 26*u**2 + 23*u + 15. Let x be c(-27). What is the highest common factor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65364 and 305032?\nAnswer: 915096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102120220 + -10012211?\nAnswer: 22101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2231130.\nAnswer: 1\/446226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.32454 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 57, 24, -31, -114?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6754871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62152574 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 5. Suppose j = 2*j + 3*j. What is r(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.1\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21761, 21715, 21665, 21611, 21553?\n\"Answer: -2*u**2 - 40*u + 21803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**3\/3 - k**2 + 42*k + 19. What is the second derivative of o(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 21*q - 59. Let p be j(3). What is the highest common factor of 248 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 79884*y. Let k(v) = -629*v. Give 5*f(a) + 634*k(a).\nAnswer: 634*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2*h**3 - 3*c**2*h - 9*c**2 + 3671*c*h + 2*c - 158 with respect to h.\nAnswer: 6*c**2*h**2 - 3*c**2 + 3671*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -40. Sort -3, 0, h in decreasing order.\nAnswer: 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**2 - 3*w**2 - 3*w**2)*(2*w + 2*w + 1 - 2*w) as z*w**2 + j + q*w + c*w**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 775560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/5)\/o**(-3\/8) assuming o is positive.\nAnswer: o**(87\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 14. Let c(n) = n + 6. What is the units digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1800)\/16)\/(-15)*48\/54*-3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 + v**2)*(1268 - 2581 + 2*v - 6*v**2 + 1253 + (3*v + 0*v - 2*v)*(v - 3*v + 0*v)).\nAnswer: -16*v**4 + 4*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (9 + -4 - (-5 - -7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/4 + 3709*o**4\/2 + 214249*o**3\/4 - 59127*o**2 - 110835*o = 0. What is o?\nAnswer: -7389, -30, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6470682293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030757960 rounded to the nearest 100000?\nAnswer: 2030800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -490, -862, -1250, -1660, -2098, -2570, -3082?\nAnswer: -3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:11 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11352631*z**6 + 5*z**4 - 3*z**3 - 271*z**2 - 422337 wrt z.\nAnswer: -1362315720*z**3 + 120*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4547977833 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116939585831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3505 - -3502. Put s, 38, 0.07 in descending order.\nAnswer: 38, 0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -7. Let f(x) = -x**3 - 5*x**2 + 6*x - 5. What is f(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9080b (base 12) in base 4?\nAnswer: 231312023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + ((1 + sqrt(833) - sqrt(833) - sqrt(833))*1 - (-2 + sqrt(833) + -2)))*-3*-6)**2.\nAnswer: -16128*sqrt(17) + 1080592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345241 is divided by 671?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1715)\/(-980))\/(1\/(-36))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41189 and -41194 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/70 + 7*g**6\/40 + 17*g**5\/20 + 17*g**4\/8 + 3*g**3 - g**2 - 1036*g. Factor c(o).\nAnswer: 3*(o + 1)**2*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110111*h**5 - 952*h - 18.\nAnswer: -2202220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 l, and 1 p when four letters picked without replacement from {f: 2, l: 2, o: 3, p: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, -2\/5, -27 in increasing order.\nAnswer: -27, -2, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 7?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 3 + 47 + -19 + -30\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -403*o + 434. Let a(r) = 806*r - 856. Let q(h) = 3*a(h) + 5*v(h). Differentiate q(t) wrt t.\nAnswer: 403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*m + 79418, 3*f - f + 3*m = 79418. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + x - 38 = 0, x = -z - 32. Let a = z + 35. Suppose h - 5 = -0*h. Solve h*s + 25 = 5*l, 8 = 4*l + 2*s - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 37. Let a be r(14). Let k(l) = l**2 - 2*l - 15. Is 3 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -271 + 276. Solve -z*a = -a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (86952\/18115)\/(((-2)\/3)\/(20\/12))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 86\/18 - 12\/(-54). Suppose -w = j - 29, -4*w + 113 = 5*j - 0*j. Suppose f*b - w = -3*b. Solve 0 = 5*l + b + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 20*l**2 + l - 2296. Calculate s(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -12, -5, 4, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 6 + 13 - 1059*z**2 - 1066*z**2 + 8 + 2122*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3292 + 3292.010084. Let n = 0.01 - a. What is n rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 - 161*b + 1104. What is t(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -112, 1, 0 in increasing order.\nAnswer: -112, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1848 + -1844. Solve 3*d + p = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - -4) + 3)*(-1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.030361 years?\nAnswer: 0.006030361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -19 + 2304 + -2311.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-2))*l*(l*l**0)\/l*l*(l**(-1\/2))**24 assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3\/3 + v**2 + 3*v. Let q(u) = -u - 1. Let n(r) = -6*j(r) - 13*q(r). Determine n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71178.\nAnswer: 2, 3, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188284 rounded to three dps?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327\/2 + 165. Factor 0 - 3\/4*z**4 + 15\/4*z**2 - 9\/4*z**3 - b*z + 3\/4*z**5.\nAnswer: 3*z*(z - 1)**3*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/32 and 65\/18656.\nAnswer: 18656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 33. What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -64. Let m = 23\/8 + -145\/56. Let w = 0.32 - 0.52. Put w, 0.5, m, t in descending order.\nAnswer: t, 0.5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-6 - 11 + 22)*(-37*o + 18*o + 27*o).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -32*i + 352. Let r be c(11). Solve -3*q - 2*q + 10*q = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101096531213 and 4.\nAnswer: -101096531209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 30*o**2 + 26*o + 90. Let b = -754 + 783. Let l be r(b). Solve -i + 1 = -3*i + 3*g, 4 = i - l*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v + 2. Let s be b(-4). Suppose 2*n + 36 = 2*f - 18, -2*n + 86 = 3*f. Let o = f + s. What is the least common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + t. Let w be v(-1). Find the second derivative of 2*m**3 + m**2 - m**2 - m + w*m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3372667, -6745260, -10117853?\nAnswer: -13490446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -20*c + 15*c + 3151, -4*n = -2*c - 3102. What is the remainder when n is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -26*z + 106. Let j be v(4). Suppose -j*r + g - 20 = 5*g, 5*r = 2*g + 10. Suppose -b - 2 = -2*b. What is the closest to r in 0.4, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8818116 and 65436.\nAnswer: 1172809428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1228.9982 - 1230.3. Let q = y + 1.3. Round q to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 145696*c**2. Let y(r) = -10*r - 3. Calculate y(l(j)).\nAnswer: -1456960*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i + 711 + 110*i - 41*i - 33*i.\nAnswer: -2*i + 711","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 103*x**3 + 7*x**2 + 7*x + 7. Suppose -267*d - 1907 + 38 = 0. Let p(m) = 52*m**3 + 3*m**2 + 3*m + 3. What is d*p(y) + 3*n(y)?\nAnswer: -55*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111403.15 rounded to the nearest 1000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -55, -37, 7, 77, 173?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22976*t + 22972*t - 3*a - 251, -123 = 2*t + a for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149685 is divided by 1871.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -2. Let v = u + -24. Solve -g - 2*g + 6 = -w, g - v = -4*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62571100*i*y - 14721642*i wrt y.\nAnswer: 62571100*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(605) - sqrt(605)) + 5 + sqrt(605))**2.\nAnswer: -110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5829*t - 33741. Give d(-6).\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - 10)\/((-2)\/(-6)). Suppose -4*c - 5*p = -5 - t, p = -4. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1989, -1985, -1983, -1983, -1985, -1989, -1995?\n\"Answer: -p**2 + 7*p - 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51587423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-14))\/(3\/(-4)). Suppose -3*z - g*z + 30 = 0. Let c(q) = q**3 + 16*q**2 - 11*q + 112. Calculate the remainder when c(-17) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 0*y - 5 + 7\/2*y**2 + y**3. What is the tens digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80643?\nAnswer: 3, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 - -579\nAnswer: 569.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**7\/70 + z**3\/2 + z**2\/2 - 4*z. Let s(f) be the first derivative of u(f). Find the first derivative of s(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/4)\/(1\/2). Let j = 3156 + -3173. Is j less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 10*k**5 - 2825*k**4\/4 - 29265*k**3\/4 - 59575*k**2\/4 + 61625*k\/4 + 7500 = 0?\nAnswer: -5, -3\/8, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s - 12. Suppose -4*u + 4*x = -s*u, -3*u + 3*x = 0. Sort 74, -1, u, -5 in decreasing order.\nAnswer: 74, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 177022, 2, 0.\nAnswer: -5, -1, 0, 2, 3, 177022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-0.12.\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36988825, 73977650, 110966475, 147955300, 184944125, 221932950?\nAnswer: 258921775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -22 + (-7 - -31 - 9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-610)\/1525)\/((-4)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181014227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6876 and 14724.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 4 - 2 + 6 - 3 + 3 - 3 - 2 + (-2 + 3 - 3)*(0 + 2 - 4) + 2 + 0 + 0 - 1 + 3 - 4)*(-v**3 + 10*v - 10*v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 - 31*d + 1. Let r(c) = c**2 - c - 1. Let f(h) = 2*r(h) - x(h). Let p(z) = -10*z**2 + 28*z - 4. Let o(g) = 2*f(g) - 3*p(g). Factor o(n).\nAnswer: 2*(n - 3)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 652*s**2 + 413*s + 345469. What is j(-325)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3200))**2 + -2*-2*sqrt(50) + sqrt(50) + (6*sqrt(288) + -2)*-6.\nAnswer: -167*sqrt(2) + 3221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5371 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001612 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 9 = -2*k - 3*w, -2*w + 4 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18669972.\nAnswer: 2, 3, 1555831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**8\/1428 + n**7\/595 - n**5\/510 - 37*n**2 + n - 1. Let m(c) be the first derivative of f(c). Solve m(r) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4.5, -44\/13?\nAnswer: -44\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 12 - 16 - 93*j**2 - 14 + 4*j.\nAnswer: -93*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/28 + 56\/(-224)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.6421m in kilometers?\nAnswer: 0.1916421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -1\/2*n**3 + 0*n**2 - 2\/5*n**6 + 0*n**4 + 0 + 0*n**5 + 5*n. Find the second derivative of p(o) wrt o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/((-2)\/4*-3). Suppose 0 = -v - v + j. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 34 + 19\/7*o + 37\/14*o**2 + 17\/21*o**3 - 1\/28*o**4. Factor x(j).\nAnswer: -(j - 19)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 1775, 3505, 5221, 6923, 8611, 10285?\n\"Answer: -7*r**2 + 1765*r - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*h + 22769 = 0, -3*h - 10 = 8. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*u + 0 = 1, -3*u + 6 = -3*x. Let b(f) = 4*f**2 - 2*f - 1. What are the prime factors of b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 10:24 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 9*t - 166061480 = 0. Suppose -1547980 = 3*q - t. What is q rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1657 greater than or equal to -2443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -6 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42184 is divided by 40838.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*b + 1, f - 19 = 4*b. Let l = 10 - 5. What is the remainder when l is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1239 in 0.02, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*b - 548 = 0, 5*v - b - 685 = -4*b. What are the prime factors of v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23381*q**2*u**4 - 2*q**2*u**2 + 89*q*u**4 - 57087*q*u**2 + 5 wrt u.\nAnswer: -561144*q**2*u + 2136*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 297560 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 25.5. Let v be (249\/189 - 0) + -4 + 3. Let k = v - 2\/21. Which is the third biggest value? (a) k (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26a6 (base 15) in base 13?\nAnswer: -39b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21574 rounded to the nearest 100?\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, f: 13}. Give prob of sequence qffq.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z + 5. Suppose -q + 3*v = -2*q - 15, -2*q + 4*v = 0. Determine x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622414071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7084834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 - 3*w**3 + 3*w**2 - 2*w + 192. Calculate j(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32888045\/3 or 10962682?\nAnswer: 10962682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:26 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 3\/2*b**2 - 5 + 0*b. Let w(j) = j - 1. Let r(q) = -4*q + 6. Let x(h) = 2*r(h) + 12*w(h). Give t(x(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1060*k - 256. What is the hundreds digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75997.31 nanometers in centimeters?\nAnswer: 0.007599731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50230323 and 78136058?\nAnswer: 703224522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 2. Let p(j) = 6*j - 37. Let h be p(9). Suppose h = -3*y + 5*v + 6, 3*v + 3 = -3*y. Let x(m) = 4*m - 4. What is y*x(f) - 5*n(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*w + 271*w + 823*w**2 + 128*w**2 + 45*w**2 to the form x*w**2 + l*w + z and give x.\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10898911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-550)\/(-2))*7\/28*-5.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -37*o**3 - 2*o**2 - 2*o - 1. Let p(c) = c**2 - 24*c + 142. Let k be p(13). Give x(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + b**3 + 4)*(2 - 1 - 3) + 9 - 9 - b**3 - 54*b**3 - 141 + 141 to the form x*b**3 + q*b + j + v*b**2 and give x.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.081 + -43. Let p = -6.181 + j. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**5 + 7139*m**4 - 2151177*m**3 + 16341741*m**2 + 22004703*m = 0. Calculate m.\nAnswer: -7\/6, 0, 9, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f*f**(-16))\/f))*f**(-5\/13) assuming f is positive.\nAnswer: f**(-213\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9756606 is divided by 1219559?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y. Let a(d) = -13*d. Suppose -5*o + p - 25 = 0, p - 10 = 2*o - 0*p. Let v(x) = o*w(x) - 6*a(x). Let u(h) = 2*h**2. Give v(u(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -97*k - 1340. Determine w(-19).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/853, 2\/125, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1452 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -34*y + 17*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 20*y - 5. Let l(w) = 22*w**2 - 66*w - 16. Let d(v) = -10*a(v) + 3*l(v). Let j(t) = -5*t**2 + 2*t + 3. Calculate -3*d(k) + 2*j(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 16) to base 10\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zzaxazzaaaxaza.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:33 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115300*p - 2*p**2 - 115300*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-55 + -16 + 55)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783 - 1900 + 2398 - 2*t.\nAnswer: -2*t + 1281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*i + 65 = 0, n = 6*n + 2*i - 369. Let p = -3370 - -3444. Suppose -n*t = -p*t + 13. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -577, -2, -14?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3378 is divided by 160.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -26481990 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1480 and 16872?\nAnswer: 84360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let c be n(-4). Let x = c + 15. Solve -3*a - 5 = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2338*g**3*s - 6816*g**3 with respect to s.\nAnswer: -2338*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 1736.\nAnswer: 27776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 914777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24\/5, 4.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 100\/(-55))\/5. Let t be ((-3)\/(-165))\/((-9)\/(-1137)). Let u = t - k. Calculate the common denominator of u and -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120 or 74?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 554*z**3 - 404*z**3 + 686*z**3 + 0.\nAnswer: -272*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 132*m + 919. Determine v(123).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuus when four letters picked without replacement from {s: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-17 + (49 - 17) + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -36 - 6. Solve 5*f + m = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200956*h**2*q + 108*h*q - 342*h wrt h?\nAnswer: -401912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 85.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45393590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/40 and (31\/6)\/(-3*(-4)\/(-9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2 + 4*m. Let h(q) = -6*q + 5*q - 20*q**2 - 9*q + 42*q**2. Give -5*h(d) - 12*n(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -4096919\nAnswer: -73\/4096919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44306432 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8725 is divided by 513.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:47 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 896*r - 911*r + 7*r**2 + 9*r**3 - 11*r**3 to the form y*r**3 + g + v*r + k*r**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-27))\/(-3 - 14\/(-6)). Put a, -0.2, -0.123 in ascending order.\nAnswer: -0.2, -0.123, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-330)\/(-90) - (6\/9)\/(-2). Solve c*k + 61*w - 60*w + 16 = 0, 0 = 4*k + 3*w + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2737979.76512 and -4.\nAnswer: -2737983.76512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/30 + 5*h**4\/6 - 7*h**3\/2 + 40*h**2. Is f(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2, -6.\nAnswer: -25, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let v be g(0). Solve 3*a + 0*a = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.57825+0.06\nAnswer: 2.63825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, f: 12}. What is prob of picking 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 775, 776, 777, 778, 779?\n\"Answer: r + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w - 24 + 24 - w.\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + l)*(-4*l + l + l) - 1 - 2*l**2 + 1 + (-1276*l - 2178584 + 2178584)*(-2 + 2 + l)*(3 + 2 - 6).\nAnswer: 1272*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267166 and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(18)*-3*1 - sqrt(18))\/(sqrt(225)*5))**2.\nAnswer: 32\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89356 + -89353. Find j, given that 82\/5*j + 122\/5*j**2 + 62\/5*j**c + 6\/5*j**4 + 16\/5 = 0.\nAnswer: -8, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m + 3*m)*(-37*m - 65*m + 46*m) + (19 - 19 + 8*m)*(2*m + 0 + 0).\nAnswer: -264*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-8)\/3. Let t = -0.082 - 51.918. Let d = t - -48. Which is the smallest value? (a) l (b) d (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 + -12112000?\nAnswer: -12110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-434)\/48) - 8\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 486, 498, 514, 534?\n\"Answer: 2*o**2 + 6*o + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106524807.\nAnswer: 3, 269, 132001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(75\/15 + (-2 - 2)). Suppose -13 + 3 = -h. Suppose -f = -r - h, -r - 26 + 6 = -3*f. Put r, -4, d, 4 in decreasing order.\nAnswer: 4, d, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 43*p**5\/120 - p**3 + 12*p + 35. Let f(k) be the third derivative of h(k). Let t(q) = q. Determine t(f(a)).\nAnswer: 43*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199672*a**4 + 107*a**2 - 16149261*a?\nAnswer: 2396064*a**2 + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2289*x**2 + 8*x + 32. Let k(c) = 5914775*c**2 + 20673*c + 82692. Calculate 20673*d(f) - 8*k(f).\nAnswer: 2297*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1057484\/21 + -50370. Let o = r + 40\/3. Sort o, 1\/11, -3\/8 in decreasing order.\nAnswer: 1\/11, o, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 150 = 7*t. Let w = t + -96. Let r(h) = -3*h - 1. Let q(s) = -48*s - 15. Let j(y) = w*r(y) + 4*q(y). Differentiate j(z) with respect to z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -908*l + 862*l - 138 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, -225, -34, -4 in ascending order.\nAnswer: -225, -34, -4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfgf when four letters picked without replacement from fqysyysffgh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/2 + 4 + 1. Suppose -4 = -4*h + z + 6, z = -5*h + 8. Let w = n - h. Solve 3*l - w = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23862868107439 + 3.\nAnswer: 23862868107442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 147*k*t**2 - 118*t**2 wrt k.\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -44*2)*3\/2. Let y be (l\/4)\/((-51)\/(-238)). What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22880 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 42*y**2 + 178*y + 48. Calculate the remainder when a(4) is divided by 0\/(1 - 2) + 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -101925?\nAnswer: 4\/101925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-3)\/(-9)*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-2)\/12 - 38\/(-57)). Let h = -36 - -36.7. Let l = h + 1.6. Which is the biggest value? (a) l (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5828*r. Let o(v) = -647*v**2. What is a(o(m))?\nAnswer: -3770716*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 a, and 1 y when four letters picked without replacement from avaroaykkrk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 153*b - 693. Calculate the remainder when 1533 is divided by a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1761 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 93 (b) -212 (c) 1 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 5*l + 2. Let x be b(-5). Suppose -x*v + 4*a = -84, -282 = -5*v + 4*a - 90. Suppose -10 + v = 2*g. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 139 - 3*u**2 + u**2 + 155 + 26. Let d be m(0). Suppose -o + 5*o + 288 = 4*k, -4*k - 4*o = -d. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/4)\/i**9*i**(2\/7)\/(i\/(i**(8\/7)*i)) assuming i is positive.\nAnswer: i**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 58. Is o equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 - 7*y - 16. Let f be j(-6). Suppose -16*l + f + 22 = 0. Solve -l*v - 58 = -67 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(216) - sqrt(216)*-3)\/(1*(sqrt(12) + sqrt(24)\/sqrt(2))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347696?\nAnswer: 2, 31, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (15 - (-6 + 13)) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 46797 = 622313. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8257 + 12859. Suppose -2*l - n = -8*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13202*-108.\nAnswer: 14.25816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -6. Suppose w*s = -0*s + 20. Is -1*(-7*s + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*r + 35. Suppose r = a + 5. Let m be a - 3 - 3 - -3. Which is smaller: m or 0.06?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*b + 3*b - 332 + 331)*(b**2 + 2*b - 2*b).\nAnswer: -84*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5618160*m + 1945*m**3 - 125*m**2 + 10846*m**2 - 1940*m**3 + 366059428 - 1541*m**2 + 780045212 = 0. What is m?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 431693 (base 15) in base 13?\nAnswer: 87aba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1294.737ml to litres.\nAnswer: 1.294737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3592916\nAnswer: -1437166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018763 is divided by 2886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from ooror.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b + 3427?\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004828868881 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 334 + 242 = 0. Calculate the least common multiple of y and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/(-44) + 21\/231?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -q - 4*b, 0 = -3*q + 5*b + 3 + 197. Suppose -4*y - y = -q. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-4896))\/((5\/(-2))\/(-5)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 288 = -33*q. Suppose -q + 10 = -2*l. Let c = -191\/9 + 21. Is l <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 15.48, -24 in decreasing order.\nAnswer: 15.48, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 2*o)*(5*o - 2*o + o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6243904*f**3*r**2 + f**2*r**2 + f**2*r + 3770962*r**2 wrt f.\nAnswer: 37463424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 13. Let g be (-3)\/(-15) + (-76)\/b. What is the first derivative of g + 1 - 1 - 4*j + 0*j wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y - 76. Let v be h(-20). Suppose 283 = -5*g + 5*c + 958, -2*g + v*c + 268 = 0. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 14 + (-100 - -114) + 5 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9*4\/(-48)). Suppose 4*g = -5*l + 17, g + d = -3*g. Solve 0 = l*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -61899051.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - d + 4*d - 8, x + 5*d = 16. Suppose 5*h + x = 146. What is the greatest common divisor of 29 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = -q. Which is smaller: q or 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (138\/(-12) + 7)*1\/(-9). Let h(x) be the first derivative of 23 + x + f*x**2. Give h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l**3 + 1455*l**2 + 114*l + 1130. Determine d(104).\nAnswer: 2170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (31 + 12 + -71)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -184*h**2. Let c(l) = -749107*l**2. Give a(c(y)).\nAnswer: -103253678730616*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 - 2*h - 7. Is j(3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*x + 4*x - 31, 3*z = -4*x + 25. Suppose 4*j + 6 = z*j. Let r = 12 + j. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*w**3 + 111*w**2 - 4552*w?\nAnswer: -144*w + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1. Let f(k) = k + 2. Let y be 27\/(-4) - (-3)\/4. Let p be ((-4)\/y)\/((-4)\/(-18)). Suppose 3 + 3 = p*a. Determine a*f(d) - 7*b(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, 4 in ascending order.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*1 + 1 - (sqrt(1700) - (6*-1*sqrt(1700) + sqrt(1700)) - sqrt(1700))**2.\nAnswer: -42499 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -60)\/((-107)\/107). Solve -76*i = -85*i - z for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3015849, 12063341, 27142495, 48253311, 75395789, 108569929?\n\"Answer: 3015831*i**2 - i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5709*x - 653*x + 187*x + 170060 + 118305 = 0 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 127666.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1998a - 169?\nAnswer: 19821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 193\/3*(-10)\/(-350). Let q = f - 6\/35. Let z be (-1*(-8 - 0))\/(-2). Which is the second smallest value? (a) z (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25\/276 (b) -1\/5 (c) 2582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10)\/((-16)\/40). Let p(b) = -s*b + b - 3 + 5*b. Calculate p(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i - 96263 - 114532 = -9*i. Calculate the remainder when i is divided by 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:33 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 6*f - 180 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 39.767.\nAnswer: -159.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 0 + (0 + 1 - 3)*(-2 + 1 - 1) + 3 - 1 - 1 + (2 - 3 + 0)*(-1 + 4 - 4) + 1 + 3 - 5 - 1 + 2 + 2)*(2*c**4 + 0*c**3 + 0*c**3).\nAnswer: 34*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*r**6 + 207517*r**4 + 7063268*r**2 wrt r?\nAnswer: -1800*r**3 + 4980408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, c: 3}. What is prob of sequence ctt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13603.61l to millilitres.\nAnswer: 13603610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 438, 887, 1332, 1773, 2210?\n\"Answer: -2*z**2 + 455*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 - 22*b + 17. Let l(i) = -2*i**2 + 2*i - 1. Give -g(a) - 6*l(a).\nAnswer: a**2 + 10*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 2*g + 1. Let q be o(-2). Let t(a) = 8 + 0*a - 6 - 12 - 8*a - a**3 - 8*a**2. Let v be t(q). Sort -1, -4, v.\nAnswer: -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2110\/17 + 124. Let r = -2.4 - 1.6. Which is the third smallest value? (a) k (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 0*s**3 - 2*s**2 + 4*s - s**4 + 5*s**3 to i + f*s**4 + q*s**2 + c*s + r*s**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33276869 and 7976?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130551335 to the power of 1\/2, to the nearest integer?\nAnswer: 33624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.159 - -0.2. Let g = u - -109.959. Let i = g + -110.93. What is i rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2 + 5*h**2 + 10 + 15*h - 7 + 2. What is the remainder when 24 is divided by z(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**7\/840 - d**6\/360 + d**5\/60 + d**3\/3 - 1. Let h(s) be the third derivative of p(s). Suppose 0 = -3*n - 9 + 3. Give h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c - 1\/5*c**2 - 23 + 8\/25*c**5 - 1\/15*c**6 + 8\/15*c**3 - 3\/5*c**4. Factor j(g).\nAnswer: -2*g*(g - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 3, v: 1, c: 3, z: 1}. What is prob of picking 1 b, 1 v, and 2 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 5*i. Suppose 4*s + i*z - 28 = 16, 50 = 4*s - 2*z. What is the second derivative of s*d**2 - 5*d**5 - 5*d - 12*d**2 + 0*d wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -f + 76. Let b = -84 + f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79386635 rounded to 4 decimal places?\nAnswer: 5.7939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24524123544 - 5?\nAnswer: 24524123535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3\/9 - -34*(-42)\/(-36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3090*y**2 - 3096*y**2 + 13*y + 27 + 6184*y**2. Let q(m) = -m**2 + 4*m + 9. What is 7*q(z) - 2*t(z)?\nAnswer: -3*z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 31 = 5*t, -t - u + 3 = -2. Suppose 0 = 2*m - t*m + 5*k, -8 = 3*m - 5*k. Solve 9*x + 15 = m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**3 - 2*r - 3. Let f(a) = -16*a**3 - a**2 - 4*a - 5. Let z(o) = -3*f(o) + 5*l(o). What is the third derivative of z(d) wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -2*y - 2*x, -3*x = 2*y + 5. Let v = y - 5. Suppose r + 2 - 6 = v. Solve -8 + 0 = -r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20149 is divided by 7274?\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/8*((-48)\/(-18))\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 (base 8) in base 11?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.87522424 - 5.\nAnswer: -4.12477576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 6*j - 10*j**2 - 13*j to c*j**2 + d + n*j and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) -338.48 (c) -1 (d) 4 (e) 15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(2\/(-96)). Let o = -34 + y. Let w(z) = z**2 + 9*z - 1. What is the remainder when 24 is divided by w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1103*s**2 - 5515*s + 3. Let x be t(5). Suppose -72\/7*d - 3\/7*d**5 - 12\/7*d**2 + 54\/7*d**x - 9\/7*d**4 + 0 = 0. Calculate d.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:32 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 4 = 8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 98. Let h(z) = -2*z + 33. Let v(p) = 5*d(p) + 16*h(p). Let t(r) = -6*r + 15*r + 0*r - 7*r. Calculate v(t(w)).\nAnswer: -4*w + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/323, 13, 2\/11, 1.\nAnswer: 2\/323, 2\/11, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 7) + -2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/17 - 90392*w**2\/17 - 10634*w - 90388\/17.\nAnswer: -2*(w + 1)**2*(w + 45194)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -2 + 5 - (-2 - 2). Suppose g*o + 4 = 8*o. Let h(u) = u**2 - 3*u + 5. Determine h(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t + 191. Let r be c(-13). What is the remainder when 76 is divided by (2 - (-260)\/15) + 40\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 510 = -485. Solve 4*w - 25 = -5*v - 0*w, p = v + 5*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5618*j**2 + 2*j**3 - 2 - j**4 - 5728*j**2 as a*j**2 + h*j**4 + n + q*j + c*j**3 and give a.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, -91, -507, -1321, -2665?\n\"Answer: -22*r**3 - r**2 + 7*r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z + 0 + 2875 = 427. Which is smaller: 1\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -930 - -6362. Suppose -4*j + 5*q + 5429 = 0, -51*q - f = -4*j - 47*q. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 4*s**2 + s**2 - s - 11 - 6*s. Let m(n) = -2*n**2 - 5*n - 10. Let l(b) = 4*m(b) - 3*v(b). Is l(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*a = -12, 8*j = 3*j + 2*a + 6. Suppose -7*h + 4 - 18 = j. Let r(g) be the second derivative of -g**3\/2 + g**2 + g. Determine r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*t**5 - 747*t**4 - t - 1674?\nAnswer: 560*t**3 - 8964*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -556.897 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.176 + -0.067. Let n = t + -0.009. Let i = 0.2 + -0.1. What is the nearest to n in i, 0.4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (844\/(-30) + 2\/15). What is the derivative of 71 - 13*n + 13 - 1 - w*n - 31*n wrt n?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 59 + -74 + (82 - 1) - -1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40791\/8 + 5110. Find the common denominator of t and (-161)\/231*(1 + 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**2 - 42*w**2 - 33*w**2 - 222*w**2.\nAnswer: -335*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from {e: 4, k: 2, g: 2, w: 5, d: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 741741617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2. Suppose -3*w + 2*w = -3. Let i be (-2)\/2*w*-1. Let s(l) = 4 - l**2 - 1 - i. What is s(x(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let c = -0.18 + 2.28. Let b = c + -2.1. What is the smallest value in 5, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 - 2423\/15. Let s be (0*(-2)\/(-8))\/((-3)\/(-3)). Is s > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9 + 3. Solve 7 - m = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166 + 166 + t**2 - 24*t)*(-10*t + 12*t + 4*t) to the form r + a*t**2 + g*t**3 + l*t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j*j**(-2\/21))**(-5\/4) assuming j is positive.\nAnswer: j**(-137\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/15*k**4 + 0*k - 56\/15*k**3 + 0 - 8\/15*k**2.\nAnswer: -2*k**2*(7*k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {h: 1, u: 2, t: 2, p: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-3))\/((-20)\/(-1350)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1010, -3, 2, -17 in descending order.\nAnswer: 1010, 5, 2, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916937116.\nAnswer: 2, 23, 1303, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9013546 + -16657033717\/1848. Let q = -2\/231 - n. Put -2\/7, q, 0 in descending order.\nAnswer: q, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/4 - 291*d**3\/4 + 20115*d**2\/4 + 155407*d\/4 = 0. What is d?\nAnswer: -7, 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976*s + 54464 - 26401 = -87106 - 29079 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -121?\nAnswer: 54\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 51 = -22*h. What is the smallest value in -1\/5, h, 6, 1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111b (base 13) to base 15.\nAnswer: -a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4153 = 4*p, -5*p - 5*h = -h - 5192. What is the units digit of (6\/(-21))\/((-4)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406367759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0 - 37\/6*d**3 + 27\/2*d**2 + 36*d. Find the first derivative of i(g) wrt g.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -10.00039. What is i rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 14*b - b + 10*b + 13*b - 4*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13264956 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 766*o**3 + 7148*o**2 - 35824*o - 94080 = 0.\nAnswer: -12, -2, 5, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 12*a**2 - 22*a - 5. Suppose 14*r + 25560 = 4*r. Calculate the remainder when 4\/10 + r\/(-60) is divided by k(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 18 = -3*f, 5*w - 11 = -2*f + 6*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d + 14. Let f be x(10). Suppose 18 = -3*s - 3*k, f*s + k - 2 = -11. What are the prime factors of ((-11)\/(-4))\/(s\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdcq when four letters picked without replacement from {r: 6, c: 6, x: 1, j: 2, d: 2, q: 3}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f**2 + 4. Let x(h) = 11*h. What is x(o(t))?\nAnswer: 143*t**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8000 and 2112.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)*-2 - -26. Differentiate -16*v + v**3 + 15 - 19*v + i*v wrt v.\nAnswer: 3*v**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 60. Calculate the remainder when (-1)\/(-2)*148\/2 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5732 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98466 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(33)\/sqrt(3)) + sqrt(36)\/(sqrt(24)\/sqrt(2)) + 0)**2 + (sqrt(288)*6)\/(sqrt(54)*1).\nAnswer: 12 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - i**2 + (-94*i + 12*i - 17*i)*(-2*i - 2*i + 3*i))*(-1 + 2 - 3).\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.285*-4.027\nAnswer: -1.147695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 16. Calculate the remainder when z(-11) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 775*q - 149456. Determine g(414).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69 + -1)*26\/(-65). Suppose 2*q + 5*z = 17 + 20, -3*q = 2*z - i. Let h(l) = 2*l - 5. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from qqqhqhhhqh?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 - 6*w + 6. Let v = 30 + -24. What is u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58337, 58336, 58335, 58334, 58333, 58332?\n\"Answer: -n + 58338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-3 - -95)) + (-27 - -14)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/6 + 2*t**3\/3 - 13*t**2. Suppose n - 4 = -3*z + 2*z, 2*z = -n + 5. Let j(q) = -q**2 + q - 1. What is z*k(s) + 4*j(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.614855 - -4?\nAnswer: 3.385145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tov when three letters picked without replacement from vwojvtvppvptjw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5\/5 - 51*n**4\/5 + 279*n**3\/5 + 459*n**2\/5 - 2268*n\/5 = 0. Calculate n.\nAnswer: -21, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 20*o + 0*o + 7*o + 9*o. Suppose -6*n = -5*n - 5. Suppose -5*u = 3*z + 4, -2*u + 7 = n*z + 1. Let s(x) = 3*x. Calculate z*s(j) + 7*p(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/10*((1 - 1) + 0). Let q(b) be the first derivative of 0*b**3 - 2\/5*b**5 + 0*b + 1\/2*b**2 + x*b**4 + 2. Find the second derivative of q(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00554367 rounded to 6 decimal places?\nAnswer: -0.005544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -24326 at least as big as -44200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/27 in -1.7, -2\/11, 15, -2\/15, 9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-12)*(x\/(x**(-1\/26)\/x*x))\/x*x**(-3\/8)*x**(4\/13) assuming x is positive.\nAnswer: x**(1349\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -124. Find the second derivative of -28*o**y - 76*o + 86*o**3 + 43 - 43 wrt o.\nAnswer: 348*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*n - 4*z, -2*z + 72 = n - 3*z. Calculate the highest common divisor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 278 = -276 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8406, -8340, -8276, -8214?\n\"Answer: -q**2 + 69*q - 8474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3\/2, 2 in ascending order.\nAnswer: -7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*u + 16, -2*i - 6 = 3*u - 0. Let w = i - -5. Let m be (-1)\/w + 15\/4. Solve -4*s + 6*o - 3*o = 6, o - 2 = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267?\nAnswer: 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8097*x. Let a(f) = 4*f**2. What is a(p(w))?\nAnswer: 262245636*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101, 328, 553, 776, 997, 1216, 1433?\n\"Answer: -w**2 + 230*w - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) - -1*sqrt(1216))**2 + 0)*6 + (sqrt(1216)*2 + -4)**2 + -5)*-1.\nAnswer: -34059 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + d = 9, 448*d = 446*d - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 + 7*p**2 - 6*p - 5. Let q(v) = -2*v**3 - 3*v**2 + 3*v + 2. Let g be (5\/(-5))\/(2\/(-4)). What is g*o(w) + 5*q(w)?\nAnswer: -2*w**3 - w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 - -3.64. What is the third smallest value in a, -0.2, -0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:13 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 422.86?\nAnswer: -422.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r**3 - 10*r**3 + 0*r - 2 - 2*r**2 + r + 2*r + 7*r**3. Determine i(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -59. Suppose -4*i + 16 = -r*n, -i - 43 = 4*n + 4*i. Let a(u) = -u**2 - 4*u - 1. Calculate a(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*t + 0)*(-1431*t - 2 + 709*t + 718*t) as g*t + q + x*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izziizvzizizzzizl. Give prob of sequence lzi.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2587*h**6 + 4455*h**2.\nAnswer: -310440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2964019750 and -0.09.\nAnswer: -2964019750.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -8. Let f = -3.6 - -3.3. Let y = 11147 + -11144. Which is the nearest to -0.1? (a) n (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 65*b - 241 + 13. Let j(d) = -6*d**2 - d + 6. Determine j(b).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + -1)\/((-14)\/(-966)). Let z be 2\/13 - u\/(-117). Suppose -7*b = -z*b + 16. Calculate the remainder when 22 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*w + 6 = 26, -2*k + 91*w - 93*w - 40 = -11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 113 - 337. Calculate the greatest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 9*f**3 - 3 - 10*f**3 - 10*f**3 + f**2 + 32*f**3 to the form w*f + q + r*f**3 + v*f**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:35 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1461, 5854, 13175, 23424?\nAnswer: 36601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-200)\/150)\/(40\/12). Put w, -1, 2\/9, -1.2 in increasing order.\nAnswer: -1.2, -1, w, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2938*c - 956 - 2020 = 3062*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, 2\/5, -3\/8, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 646*i**2.\nAnswer: i**2*(i + 1292)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - (-2 - -1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 + 28*j + 21. Determine f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**9\/2520 + g**5\/12 + g**4 - 13*g. Let i(o) be the third derivative of h(o). Differentiate i(b) wrt b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22913 + -22912. Let i = -0.1 + 0.5. Let y = -0.1 - i. Which is the nearest to r? (a) y (b) -6 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/924 and ((-66)\/5544)\/(5\/(-16)).\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 + l**4\/8 + l**3 + 33*l**2. Let s be i(0). Let h(m) = 6*m + 4 - 2*m**3 + 1 + 5*m**2 + m**3. What is h(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cch. What is prob of sequence cch?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120555 = -5*g + 10*m, 24*g = 27*g + 5*m - 72377. What are the prime factors of g?\nAnswer: 89, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.219 + 0.0316825761.\nAnswer: -4.1873174239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/4298 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375545*m**3 - 183839*m**3 - 191708*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/485 - 2\/97. Let p = -131 + 133. Which is the third smallest value? (a) -0.5 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/70 in 94, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:41 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/252*(-2 - -2). Let s(m) be the second derivative of 0*m**2 + 1\/66*m**4 + 0 + 1\/165*m**6 - 16*m + 1\/55*m**5 + g*m**3. Solve s(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 11, x: 1}. What is prob of sequence uixi?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d\/(d**(-10)\/d)))\/d)\/(d*d**(2\/13)\/d))\/((d\/d**(-44))\/(d*d**(-2\/53)*d*d)))**(-11) assuming d is positive.\nAnswer: d**(403139\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 10 = -4*h, 3*c = 5*c + h - 27 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(72)\/sqrt(972)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159113379 rounded to 5 decimal places?\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60, -51, -42, -33, -24, -15?\n\"Answer: 9*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0*l)**42\/(l**(-3\/7)*(l\/l**(-2\/13))\/l*l) assuming l is positive.\nAnswer: l**(7578\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59299370 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = -0*v. Let h(y) = -y + 6. Let p be h(v). Solve p*x + 11 - 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppfppffipipfpfffp. What is prob of sequence ppp?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41 + (-37 - -37) + -2\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.3 (b) 2 (c) -1 (d) -18939\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 4, -3\/5 in descending order.\nAnswer: 134, 4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 3. Let m be p(11). Suppose r - 10 = -m. Suppose 0 = -r*j + 1422 + 712. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -3. Let h = n + -109.3. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/20 + 17*c**4\/4 + 104*c**3 - 338*c**2 + 3*c - 139. Solve u(d) = 0 for d.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**5\/35 + y**4\/4 - 5*y**3\/7 + 9*y**2\/14 + 4. Determine d so that w(d) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 - 11503282*x**2\/5 - 46013152*x\/5 - 9202632 = 0. Calculate x.\nAnswer: -2, 5751645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68763 is divided by 67625.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 966134131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 24, 44, 64?\n\"Answer: 20*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*m + 27 = 4*w, 0 = 5*m - 5. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x - 8. Let l(w) = -7*w**2 + 2*w + 1. Let c be l(-1). Let a be d(c). Suppose f - a = -3*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(sqrt(5)*-2*1 + sqrt(180) + -1 + -2 + (0 + sqrt(5))*1) + -1)**2.\nAnswer: -12200*sqrt(5) + 53721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -15, 16*s + 0 = 95*d - 97*d - 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2111 divided by 1\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 4, -128, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 12:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 510029\/10 - 51503. Let q = o + 501. What is the common denominator of 50*(0 - 1\/(-4)) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -552, -1070, -1572, -2058, -2528, -2982?\n\"Answer: 8*s**2 - 542*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 260848456 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f. Let q(t) be the first derivative of -5\/3*t**3 + f*t**2 - 3 + 4*t. Differentiate q(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*k + 88, 0*m = 5*m - k + 118. Let f = -25 + 3\/2. Let t = m - f. What is the second smallest value in t, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -3)\/(-4))\/1. Let o = 16\/15 + -5\/3. Which is the nearest to d? (a) o (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7862 + -7796. Calculate the remainder when 987 is divided by k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-87)\/(-9) - 8\/12. Suppose c*r + 24 = 15*r. Let b(z) = -3*z. Let v(w) = w. Let d(g) = r*v(g) + b(g). Let x(a) = 36*a. Calculate x(d(j)).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025258 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/13)\/l**(2\/3))\/((l*((((l*l**(-2\/5))\/l*l)\/l)\/l)\/l)\/(l**0\/l)))\/(l**(3\/8)\/(l*l\/((l*l**(-1\/7))\/l)))**(18\/5) assuming l is positive.\nAnswer: l**(32453\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1449281\/30 - 48315. Calculate the common denominator of 11\/27 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100869715*s**4 - 123595568*s**2 wrt s.\nAnswer: 2420873160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/11, -2\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)\/y)\/(y*y**(3\/5)))**46 assuming y is positive.\nAnswer: y**(-1081\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436.96 + 437. Which is the closest to v? (a) 0.4 (b) -1\/15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 146845031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) 0.42 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*u - 275 = 26, -5 = 5*u. Suppose -2*p - 2*w - 3 + 1 = 0, -17 = 5*p + w. Which is the second smallest value? (a) y (b) 2 (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*l = 58, -9*l - 236 = 16*q - 7*l - 6*l for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 88. Is l bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*f**3 + 6490\/3*f + 224\/3*f**2 + 12100\/3 = 0. Calculate f.\nAnswer: -55, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1 (b) -2 (c) 0 (d) 20\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/150 - b**4\/60 + b**2 - 4*b. Let q(i) be the first derivative of j(i). Factor q(a).\nAnswer: 2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 12320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/12)\/((-72)\/216).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1272 - 5.3768. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/24 - q**3\/3 + 5*q**2. Let p(w) = w**3 + 2*w**2 + w. Let c be p(-1). Let r(k) = 3 - k + c - k. Give 4*n(a) + 3*r(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18639711, 18639706, 18639701, 18639696, 18639691?\nAnswer: 18639686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.953 times 0.3?\nAnswer: 103.7859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.373 and 0.039.\nAnswer: 1.535547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2774 + 2769. What is the nearest to 7 in 1\/6, -1, j, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 62 = -5*b, -48 = p + 2*b - 124. Calculate the greatest common divisor of 408 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 - 4*q + 4. Let t be d(-4). Suppose z + 9 = w - 6*w, -t*w + 4*z = 12. Sort 3, 0, 5, w.\nAnswer: w, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 25\/(-7) - 1. Let s = 115\/42 + t. Which is the second smallest value? (a) -2\/3 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5709 + -5714. Suppose 3*u = -5*f + 37, -f + 15 = 2*f. Let j be (-4)\/6 + 2\/u. Which is the nearest to 1? (a) j (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53730700766 + 53730700728.724160981. Let z = -217.724163371 + u. Let s = -255 - z. Round s to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 39*g**5\/40 - 85*g**4\/2 - 169*g**3 + 84*g**2 - 373*g - 1. Solve k(q) = 0 for q.\nAnswer: -2, 2\/13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -95*y - 47 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6) + 1\/(-3). Let z be 11 + (0\/(-3))\/n. Let i be (-32)\/18 + (-2)\/9. Let f(u) = -6*u**2 - 21*u. Let s(o) = -o**2 - 4*o. Calculate i*f(x) + z*s(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-12)\/(-15) + 116\/(-20). Let y be -10*(-10)\/(k - -10). Calculate the highest common divisor of y and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9694 and 1932?\nAnswer: 9364404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318990 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/3 - 779*r\/3 - 389\/3 = 0. Calculate r.\nAnswer: -389, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(4)*-3 - sqrt(28))\/(sqrt(8)\/sqrt(2)*-6))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 - 11*k**2\/2 + 12*k - 1. Let w be r(10). Suppose j**w + j**2 + 6*j - 2*j - 6 = 0. What is j?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 1 - (-25 + (7 - -15)). Solve u = -f, 11*c + 2*f = 8*c + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**4\/12 - y**2. Suppose 0 = 18*v + 13 - 67. Let k be z(v). What is the third biggest value in -1, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347869*d**2*w**3 + 10*d**2*w**2 - 5*d*w**3 + 7*d*w**2 - w**3 + 1048*w**2 wrt d.\nAnswer: -695738*w**3 + 20*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Suppose -2*p = -2*s - 3*s - 13, -15 = -3*p + 3*s. Suppose -p*j - j = -10. Let y(a) = 2*a**j - 2 + 2 + 0. Calculate y(b(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5920, 5918, 5916?\nAnswer: 5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*8\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(8575\/294)\/175\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = c. Suppose 0*r = -c*r + 9. Is 14 a factor of 28\/r*(-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (303 + -291 - -73) + 9 + (3 - 1).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(9)\/sqrt(3) + 3 - (sqrt(3) + -1*(sqrt(3) + 1))) + ((3*sqrt(3000) + sqrt(3000))\/sqrt(10))**2 + 2.\nAnswer: sqrt(3) + 4808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -13 + 10. Solve -2*w - 3 + l = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s**(-10)\/s*((s*s**(-10)*s*s)\/s)\/s**(-5))**16)**49 assuming s is positive.\nAnswer: s**(-15680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561 + 1253 = -14*b. Calculate the smallest common multiple of b and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*x - 146 = -492 - 424. Let g(d) = -d. Let a(s) = 6*s - 2. Give x*g(k) + a(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y + 549. Calculate the remainder when q(-18) is divided by 157.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in -6, 0.5, 0.2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4940 - 9887\/34580. Which is the closest to 7? (a) 3 (b) -0.04 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/s*s)\/s*s**3*(s**(2\/3))**33 assuming s is positive.\nAnswer: s**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (4 + -59 + 62)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in -5, -1, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 390215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67506507 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 776a + -52?\nAnswer: 7718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8568 = -2033*i + 2390*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000114021037 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2003002 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - (-4)\/10. Let c = -3.99 + -0.01. Sort -5, n, c in descending order.\nAnswer: n, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:47 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, y: 2, d: 4, z: 1, q: 1, k: 4}. What is prob of sequence dyqy?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -13627\nAnswer: 238\/13627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 - -2.018. Let x = 1.082 + c. Is x < 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 take away -60202264?\nAnswer: 60202301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163297442 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 4 = 8*l + 4*z, 2*z = 2*l - 10. 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: Collect the terms in -53 - 27 + 4*s + 80.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 - 226. What is the smallest value in -5, 15, -3\/4, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-294)\/245)\/((-5)\/(-20) + 17\/(-20)). What is the nearest to 2 in -5, i, 1\/4, -2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156605.3 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**8\/x*x)\/x*x*x**(-18)*x)\/(((x*x**5)\/x)\/x)**(-35))**(-19) assuming x is positive.\nAnswer: x**(-2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1660\/25200*6 + (-2)\/21?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*(12 - 6). Let s(o) = -5*o**2 - o**3 - 3*o**2 + 0*o + 2 - o. What is the units digit of s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:22 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -6. Let z(x) = -20*x**3 - x**2 - 9*x - 11. Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1510131 - -2718944. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1456 and 40?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = 4*m + w, -5*m = 4*w + 5. Let a be ((-4)\/(-2) - m) + 0. Suppose 0*d - 4*d + 3*u = -33, -3*d = a*u - 51. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.005 + -0.005. Let t = l - 15. Let q = -14 + 16. Put q, 0.6, t in ascending order.\nAnswer: t, 0.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -u + 3538, 16376 - 2248 = 4*u - 4*g. Suppose -3*x - u = 6453. Let d = 29 + x. Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c. Let k(r) = 6*r**3 - 8*r**2 - 4*r - 2. Let u = 1368 - 1372. Calculate u*l(a) + k(a).\nAnswer: 2*a**3 - 8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 8, -5*j - 22*z - 7 + 85 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 193227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 3\/2*r**2 + 0*r**5 + 1\/2*r**6 + 0*r**3 + 0*r**4 - 1 + 0*r. What is the second derivative of d(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23560\/7 - -3372. Find the common denominator of z and 22\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 40 + 2*t - 18 - t**3 to g + s*t + o*t**3 + x*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513 - -518. Suppose -2*g - n = 2*k + k, 9 = 3*k. Let d(p) be the first derivative of -p**3\/3 - 7*p**2\/2 - 2*p + 1. Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3325, 6638, 9953, 13270, 16589, 19910?\nAnswer: 23233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 4*i + 2. Let r be h(-2). What is the units digit of r\/(-6) - 43\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let m = -34.593 - -34.893. Which is the closest to f? (a) -0.5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 2*q - 1. Let v be c(1). Let y be (1*v\/(-7))\/2. Let u = 70 + -69.8. Sort y, u, -3.\nAnswer: -3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/2 in -0.1, -1\/3, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1. Let p(y) = 9545*y**2 - 9555*y**2 - 5 - 3. Give -6*i(r) + p(r).\nAnswer: -10*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6320419?\nAnswer: 7, 47, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 114535920 divided by -174864\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-240)\/64))\/((-4)\/(-26)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*d + 4, -13 = -d - 4*w + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 6. Let s be r(-6). Suppose 0 = -s*n - n + 4. Suppose 0*k - n*k = 4080. What is k rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 12. Let b(a) = 3*a. Give b(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -0.1151 (b) 0.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrzzrzzzzrzrrzzzrrzr?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 108*m**2 - 4 + 38*m**2.\nAnswer: -70*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/6 - 128*y**3\/3 - y**2\/6 + 128*y\/3 = 0.\nAnswer: -1, 0, 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*f**3*q**2 - f**3*q + 18595*f**3 + 2*f**2*q wrt q?\nAnswer: 134*f**3*q - f**3 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**3 + 156879*g**2 + 69622188*g - 34850313 = 0. What is g?\nAnswer: -437, 1\/2, 26583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -7*p. Let q = 1143 - 1143. Which is the second biggest value? (a) p (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2 (b) 58\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 2568647 in decreasing order.\nAnswer: 2568647, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6146 is divided by 3072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12293, 12327, 12361, 12395, 12429, 12463?\nAnswer: 12497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 10576*p + 4 - 10488*p - 60 + 21064*p.\nAnswer: -p**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21032, 20847, 20662, 20477, 20292, 20107?\n\"Answer: -185*a + 21217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548862 = -47*i - 55*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2223442424 (base 5) to base 6\nAnswer: 253052525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 18*i = -148649 + 148381, -2*i - 38 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2 + 0*v**4 + v + 76 - 7\/5*v**5 + 0*v**3. Find the second derivative of f(g) wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/7 + 186*a\/7 - 184\/7 = 0.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/2140955 and -19\/18244660.\nAnswer: 419627180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*x = 412*x + 184. Let r be -3*(24\/(-18) + 2). Which is the closest to -3? (a) r (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178565 (base 10) to base 12\nAnswer: 87405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a**2 - 2*a - 9. Let z(u) = -23*u**2 - 5*u - 26. Let l(k) = 11*p(k) - 4*z(k). Is l(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201158031 or 0.1?\nAnswer: 201158031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24815 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/204 and (2\/(-1020))\/(800\/(-19700)).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 17*k + 28. Let g be r(15). Let x be (-13)\/((-156)\/8)*(-117)\/g. Suppose -x = -8*y + 1. Solve b = -4, 5*o + 0*o - y*b = 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 25*j + 166. What is the smallest value in -0.3, j, -0.5, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:55 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7716 and 288.\nAnswer: 185184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 47, 89, 151, 239, 359, 517?\n\"Answer: j**3 + j**2 + 18*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.8 + -14.1. Suppose 5*u + 0*u = 45. Let g be (1\/(-2))\/(u\/6). Which is the third smallest value? (a) -2 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + 3*p**2)*(-p + 3*p - p)*(0*p - p + 1 - 7).\nAnswer: -3*p**4 - 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 56760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.73 and 0.3.\nAnswer: -0.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 3. Let h be 2 + (-4 - (-8)\/4). Suppose h*k - k = 26. Let g(s) = -5*s - 13. Give k*f(w) + 6*g(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 608969, 608964, 608957, 608948, 608937, 608924, 608909?\n\"Answer: -d**2 - 2*d + 608972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-603)\/938*8\/18).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = -45. Let k(l) = l**2 + 10*l + 11. Let j be k(x). Is 810\/12 - j\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65934, -131879, -197816, -263745?\nAnswer: -329666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17374673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 930182885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*l - 3*l + 4, 4*d - 13 = -5*l. Let j = 49245 + -49164. What is the remainder when j is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/24*2\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 11:10 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1995445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*w - 34, 4*w - 3*m - 59 = -11. Suppose 0*k**3 + w*k**2 - 2*k**2 + 5*k**3 + 2*k = 0. Calculate k.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756 > 6756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -145, 250, 5, 2, 1?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32339.25ng?\nAnswer: 0.00000000003233925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 22 = 20. Suppose 13*r - 11*r = i. Calculate the remainder when (-1)\/(-4) - (-3283)\/196 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6*10\/15)\/((-8)\/172). Solve -85*l + g*l + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:19 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89328947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n. Suppose -2*s + 7*s + 55 = 0. Let k = -6 - s. Solve 2*y - o - k = n, 5*y + 0*o - 4*o = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 42*q**2 - 305*q - 598. Determine k(4).\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3441\/4 at least as big as -859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 + 28874*w**3\/9 + 104170160*w**2\/9 - 104256800*w\/3.\nAnswer: 2*w*(w - 3)*(w + 7220)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 + 5. Let y = -5 - -8. Sort m, y, -2\/5 in descending order.\nAnswer: y, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*i - 4*i**4 + 186*i + 529*i**2 - 467*i**2)*(-4*i + 0*i + i)*(-1 - 1 + 1).\nAnswer: -12*i**5 + 186*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25777 - -42062. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -26 + 13)\/3. Let k = -0.02 - -4.02. Let a = 9 - k. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9017928 and 4.\nAnswer: 9017928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:45 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:38 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*t + 13 = 851*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 802 and 351738.\nAnswer: 282093876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*95216\/(-9738)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/264*-6 - (-4)\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 1992.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -298 - 53. What is the greatest common divisor of 81 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 276 - 186 + 275)*(-5*d**2 + 5*d**2 - d**3).\nAnswer: 2*d**4 + 187*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1.3, -0.3, -125, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:50 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -780 - -1?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.476 * -32.\nAnswer: -79.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5058 and 297860?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015084223?\nAnswer: 4015084223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40124337?\nAnswer: 3, 11, 79, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u - 31. Let i be z(8). Let m = 125\/3 - i. Let f = -2 + 0. Which is the closest to 1? (a) f (b) -3\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 4 (c) 0.04 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.904542983 to 4 dps.\nAnswer: 1.9045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14188510.\nAnswer: 2, 5, 7, 202693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-814896)\/120)\/((-3)\/100). What is f rounded to the nearest one thousand?\nAnswer: 226000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*((x**(-12\/5)*x)\/x)\/x*x**(4\/5)*(x**2)**(13\/5) assuming x is positive.\nAnswer: x**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p*p**(1\/9))\/(p\/(p**0*p*p)*p*p**(2\/7)))\/((p**(2\/5))**(-50)\/(p\/(p*p**(-2)))**16) assuming p is positive.\nAnswer: p**(3202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 a factor of 175977706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2604)\/(-8) + 3 + (-9)\/(-6). Let a = -325 + q. Solve a = 15*y - 10*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(1 + (-2*sqrt(99) - sqrt(99)) + (sqrt(99) - -3*(sqrt(99) + -1)) - (-1 + (sqrt(99) + 1 + sqrt(99))*1))*6)**2.\nAnswer: 6912*sqrt(11) + 59328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.99415 - -13. What is g rounded to four decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860643815 to the power of 1\/2, to the nearest integer?\nAnswer: 43135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - g + g. Let p(d) = -25*d + 105. Let r(i) = -42*i + 180. Let h(c) = 12*p(c) - 7*r(c). Determine n(h(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:27 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 150282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z - 2. Let d(a) = -3*a**2 + 8*a + 6. Let k = 208 + -204. Determine k*d(f) + 11*n(f).\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((4 - 1) + -3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -242\/84379 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 160 = -3*q, -146 = -2*q - 3*o - 46. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.47 + -0.17. Let w = -53 + 373\/7. Which is the smallest value? (a) z (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85596 by 4076.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39881 and 4355425?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*q + 15 = 0, -259912*q - 7 = -3*k - 259907*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324022930 and 770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3221 divided by -580\nAnswer: 3221\/580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 2, -5*w = -3*l - 3. Let g = -282 - -1021\/3. Let u = g + -59. What is the closest to u in w, -1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:36 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16582 plus 9308?\nAnswer: -7274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -10. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4256 divided by -1064\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 16. Suppose -5*v + 133 = r, 3*r = 5*v - 195 + m. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let a(v) = -v**2 + 5*v**2 + 4*v**2. What is a(f(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24138827 (base 9) in base 10?\nAnswer: 11776939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = t - 2817. Let f = t + -694. Is -380 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21404?\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let j(v) = 3*v**2 - 4 - 3*v + 9*v**2 - 10*v**2. Let u be j(d). Solve -4*m - m + u = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -151*4\/(-6). Let h = w - 104. Suppose 0*s = -3*s + 6*x - 57, -x = -4*s - 20. Which is the second smallest value? (a) 0.1 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*r + 10, -3*n + 5*r + 13 = -4*n. Let l be 3 - n - (3 + -2). Suppose l = 5*v - 9 + 34. Let b(f) = -f**3 - 5*f**2 - 3*f - 4. Calculate b(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 489 - 112389?\nAnswer: -111900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 24496*z + 91 + 12279*z + 12253*z. Calculate d(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 6 (b) -42 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912153469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Differentiate -3*g**p + g**4 - 6 + 5*g**4 wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 49*m - 46*m + 14, -4*p = -5*m - 26. What is the tens digit of 4*p*63\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.2 - -24.9. Sort m, -4, -2 in increasing order.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1326614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 324*q**3 - 3*q - 683*q**3 + 335*q**3 to the form d*q + v + w*q**3 + a*q**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s**(3\/4))\/s))**(16\/5) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -82.933 (c) 1 (d) -0.2 (e) -1\/18 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/5*2*3. Let o be 1\/5 + 18\/(-15). Let x be 0 + 1 + 11 - o. Solve -r - x = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 11 (b) 4 (c) 3 (d) -186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 5*y**2 + 4*y**2 + 4*y**2 - 6*y**2 + 3*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 1)*-1*-2. Let l be (-12)\/8*d\/6. Let w be ((-3)\/(9\/78))\/l. Solve -3*i - i = -b - w, 4*b = 2*i - 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 31*u**2 + 101*u - 48. Let t be p(-34). Let c be (-1)\/(0 + 2\/4). Is c\/((-8)\/t)*(-126)\/7 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2000 is divided by 1844.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - h = -0*h + 37, k - 3*h + 17 = 0. Let t be -2 + 4 - k\/(8\/2). Suppose 7*j - 17*j + 210 = 0. Solve t*m - m + j = -4*v, 15 = -v - 4*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 2 - 6*s - 6*s + 8*s**2 - 2*s**2 + 23*s in the form f*s**2 + k*s + u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609663*y - 1410*y**2 + 1416*y**2 + 609663*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1995597\/125 at most -15964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/4 - 319*c**3\/2 - 2569*c**2\/4 + 319*c\/2 + 642 = 0. What is c?\nAnswer: -4, -1, 1, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.18 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a factor of 114070286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 39, 0, 4, 1381, 3, -2.\nAnswer: -2, 0, 2, 3, 4, 39, 1381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -244.\nAnswer: -8\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/25 + 104\/(-10). Let g = a + 46. Suppose -3*p = -m + g, 7*m - 2*p - 110 = 3*m. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -62*p**2 - 4*p + 11. Let b be k(3). Let l = -341 - b. List the prime factors of l.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -24. Let z = a - -54. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 2*r + 2*r)*(r - 5 + 5) + (-3*r + 4*r + 0*r)*(-5*r + r + 2*r) as k + c*r**2 + m*r and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72614 + -726931\/10. Let m = 79 + w. What is the third biggest value in 2\/5, -6, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -15) + (-5 - 3) + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - z + 29, 2*n - 3*z - 12 - 22 = 0. Suppose 5*v = 3*j + n, -j + 3*v + 1 = 10. Solve 0 = -3*m + j - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 401\/110 + -18\/5. Let f = 37\/154 + h. Suppose -11 = -7*q - 4. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 22*h**2 - 20*h + 23. Let a be v(-21). Suppose -a*t + 11*t = 63. Suppose 3*w + c = 140, -t*c = -2*c + 5. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 4. Let b be m(3). Solve 5*p + 27 = -4*z - 0*z, 0 = -b*z - 2*p - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 7*i + 4*i - i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 288858 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269993958 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 2*z + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.922 rounded to 1 dp?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Suppose 2*o - 16 = -3*h + d*o, 2*h = o + 20. Suppose 2*y - 90 = -5*b, -10*y + 11*y = 4*b + 19. Calculate the remainder when y is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18*14*171*82\/(-1558)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42499*w**2 + 17793.\nAnswer: 84998*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146806 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -131010030 (base 4) to base 11\nAnswer: -8149a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67178 divided by 91?\nAnswer: 67178\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2232 + -212099.8.\nAnswer: -212100.0232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8844 + 8843.9. Which is the nearest to -4\/7? (a) -58 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72 - 187521*v - 2717*v**3 + 29*v**2 + 93757*v + 93764*v wrt v.\nAnswer: -16302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 6, -7, -36, -87, -166?\n\"Answer: -t**3 + t**2 + t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.92 + 0.08. Let o = r - 24. Which is the nearest to -2? (a) o (b) -0.1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 4*n. Let b = 1 + n. Let a be ((-1)\/b)\/(1\/10). Solve 3*j = -u + 1, u + a = 6*j - 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 517 - 1120. Let s = v + 933. Let b = s - 74. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -l, 0 = -m - 5*l - 8. Suppose 0*c - 5*n + 543 = 2*c, -m*n + 809 = 3*c. List the prime factors of c.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 138. Calculate the highest common divisor of x and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 372\/955 + (-3*48\/60 - -2). Which is the closest to -1\/5? (a) l (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, w: 1, k: 1}. What is prob of picking 2 c and 1 w?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 316 + -311. Suppose 0 = b - 2*b - 2*f + 6, -5*b + 4*f = -30. Solve -b*x + 2*x - 3*g = -1, d*x = -5*g - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 78 = -4*b + 5*b, 5*g + 105 = -5*b. Let k = g - -93\/5. What is the nearest to k in 1\/2, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-91) - (-565)\/7. Let m be 4\/((-48)\/f)*-12. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 26*g**2 - 3*g + 3. Let y(u) = -1403*u**2 + 161*u - 161. Let t(c) = -161*f(c) - 3*y(c). Let d(k) = 2*k**2. Determine d(t(h)).\nAnswer: 1058*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10766 - 10879. Is j less than -562\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678 = -48*d + 454 - 784 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6218*k - 7764*k - 2026*k + 3584*k - 1157*k.\nAnswer: -13581*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 18. Let n be v(-3). Let t = 4\/47 + -169\/329. What is the smallest value in t, 3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3210 + 2562 = 4*s - 4*q, 0 = 5*s + 5*q - 7255. Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - g**2 + 3*g + 1. Let m(o) = 28*o**3 - 286*o**2 + 30*o + 10. Let z(x) = m(x) - 10*p(x). What is the third derivative of z(k) wrt k?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/109327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25484 + -7570. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15437 - 4708277\/305. Let d = l + 29441\/5490. Let f = 178\/5 - 181\/10. Calculate the common denominator of d and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -20c83?\nAnswer: -20c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*4 + 0. Suppose -2*o = -3*o - 43. Let r = -40 - o. Solve -g + r = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j - 1221033 - 869917 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100200 (base 3) to base 4.\nAnswer: -1020123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.68 bigger than 44884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 130 = -z. What is the remainder when z is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 12*a + 19. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74764421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 760052 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 693 and 692 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-242) + (-18)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140? (a) 5 (b) -4 (c) 2 (d) -23404 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2234605)\/(-30) + 24\/144 + -3 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 54*h**3 + 150*h**2 + 146*h + 48.\nAnswer: 2*(h + 1)**3*(h + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -19 - (1 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Find the second derivative of -2*f**3*s - 154*f**2*s**2 - 44*f**2*s - 4*f*s**2 + 3*f*s + 152*f - 2*s**2 - 27 wrt f.\nAnswer: -12*f*s - 308*s**2 - 88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3699 - -3727. What is the remainder when 56 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w - 71. Let p be y(-9). Calculate the highest common divisor of p and 1242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/71*(-863)\/(-1726).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 1.9. Let q = 2 - 6. Which is the closest to -2\/3? (a) -0.4 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 3*x, -4*x + 10 = -2*c. Suppose -2 + 1 = s - 5*h, c*h + 12 = 2*s. Suppose 2 = i - 3*r, -2*i = -3*r + 2*r - s. Solve -8 = -i*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/36 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = 5. Let u be -6*k*(-2)\/(-6). Solve 3*a - u = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 176996 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*i + 213*i + 7*i + 351*i - 24*i as b*i + a and give b.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*2*-3 + 0 - ((sqrt(19) + 0 + -4 - sqrt(19)) + sqrt(19))*-5) + (-2*sqrt(95)*-5 + sqrt(95))\/(sqrt(80) - sqrt(20)))**2.\nAnswer: -180*sqrt(19) + 3139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3, 3611?\nAnswer: 3611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (sqrt(1053) + 0)**2 - sqrt(1053)) + (sqrt(13) + -1)**2*-4.\nAnswer: -1109 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o - 1. Let g(u) = -37*u + 2. What is 2*g(n) + 5*z(n)?\nAnswer: 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 1\/33338, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 1 - 1 + (-2*z + 0 + 0)*(-4*z**2 + 4*z**2 - z**2) - z**3 - 2*z**2 + 2*z**2 - 16*z**3 - 4*z**3 + 5*z**3)*(0*z + 4*z - z).\nAnswer: -51*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 2)\/1 + 1792. Suppose 7*p - 862 = v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (136 + 35 - -3 - 38).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(76) + (-3 + sqrt(76))**2*5.\nAnswer: -58*sqrt(19) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 4) to base 14\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.529714 months to decades.\nAnswer: 0.22108095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15429 rounded to 3 dps?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-184)\/(-42))\/((-2)\/(-3))*(473 - 459). Solve -94*n - 1 = -z*n - m, -2*m = 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 2\/9 (b) -6 (c) 1\/4 (d) -742\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 - -409. What is the nearest to u in -4, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*m - 28 = 3, 0 = -2*v - 5*m. Let l = -2 - -2. Suppose 8*t + 110 = 94. Sort l, t, v in ascending order.\nAnswer: v, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 788 = -1992. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.051\nAnswer: 0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, f: 1, w: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**3*q*y**2 - 11*g**3 - 2*g**2 - 5*g*q*y - 182*q*y**3 - 4*q wrt y.\nAnswer: 28*g**3*q - 1092*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73620?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -749*t + 6912. Calculate i(10).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/1)\/(((-6006)\/104)\/77)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 3. Let t be m(-5). Suppose 3*i - 3*q + 7 = -2*i, i + 3*q - t = 0. What is the units digit of 1 + i + 87 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-21 - (-28 - 84)) + -19\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-34322)\/(-4) + -2 - ((-108)\/(-24))\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 8, -3, 250 in decreasing order.\nAnswer: 250, 8, -3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -89835, -0.4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -269, -609, -1085, -1697, -2445?\nAnswer: -3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 46 = -h, -5*d = -10*d - 4*h + 122. What is the remainder when 96 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - (33 - 35) - -3) + -22 + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/9)*y*y\/y**(-5\/8) assuming y is positive.\nAnswer: y**(125\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 33)\/261*(24\/9 - 3)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4 + 6 + 4*h**4 - 9 wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1404*q - 2. Let h be d(-2). Let u = h - -39247\/14. Let l = 73691\/20 + -3684. What is the common denominator of l and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -23*j. Let h(i) = -36*i. What is s(h(u))?\nAnswer: 828*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57, 112, 167, 222, 277?\n\"Answer: 55*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*j**3 - 410*j**2 - 1445*j + 1150.\nAnswer: -5*(j + 5)*(j + 23)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -4)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s + 18. Let f be (2 - (-14)\/(-6))*s. Let n be (-2)\/4 - (-9)\/2. Which is the smallest value? (a) n (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*z**2 + 1 + 7 + (z**2 - 3*z + 3*z)*(12 + 0 - 30) to p + k*z**2 + g*z and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 5*k - 10 + 10.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**3 - 3*s - 8*s**3 + 2*s. Determine v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -566.138 to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + l + 4 + 0 = 0, 4*w + 5*l + 20 = 0. Suppose w = z - 1, z - 11 = -4*x - 2*z. Suppose v - 80 = -x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -285485.835 and 42468.\nAnswer: -243017.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 0 - (-6)\/(-138). Is 1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*u**3 + 130*u**3 + 127*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffgoggegfceeceegc. Give prob of sequence fgge.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8162 divided by 4624\nAnswer: 4081\/2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Let i(j) = -3*j**2 + 2. Suppose 30 = 3*k + 12. Let g be ((-22)\/33)\/(4\/k). Let z(d) = g*t(d) - i(d). Differentiate z(s) with respect to s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7895 and -10267812.\nAnswer: -10275707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1581848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5110 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 2\/3, -2, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let k(g) be the third derivative of 41*g**4\/24 - 3*g**2 - 23*g. Give y(k(n)).\nAnswer: 82*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 127842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**2 + 13*p - 6. Let q(t) = -43*t**2 + 25*t - 13. Calculate -6*q(j) + 13*s(j).\nAnswer: -28*j**2 + 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16675\/6670)\/(10\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 33 = -27. Suppose -7*c - s = 15. Let v be (4\/c)\/(-2) + 126\/10. Solve v = 4*k - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 31)*2\/(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 235 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130464 to the power of 1\/2, to the nearest integer?\nAnswer: 3336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**2*w**3 - n**2*w**2 + 125*n*w**3 + n*w wrt n?\nAnswer: -8*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)*p**(-2\/13)\/p*p)\/(p\/(p\/(p\/(p*p**(-1\/2)*p)*p))*(p*p**(2\/13))\/p*p))\/((p**(-1\/2))**(5\/17))**(-6) assuming p is positive.\nAnswer: p**(-9207\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.99 + -2. Let t = z + 0.0107. Round t to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 707870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00660797 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720)\/(sqrt(12) - sqrt(12)*2))\/(-1*sqrt(150)))\/((sqrt(40)*1*-2)\/(1*sqrt(800))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 3728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9854*(-2 - 2 - -2). Let g = -2049687\/104 + n. Let y = g - -2\/13. What is the third biggest value in 0.2, y, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 55\/336*l**8 + 0*l**6 + 9\/20*l**5 - 27*l**2 - 1 + 0*l**4 + 0*l**7 + 0*l**3. What is the third derivative of z(d) wrt d?\nAnswer: 3300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2717.05ns?\nAnswer: 2.71705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-2))\/((h*h**(2\/25))\/h))**(2\/3))**19)**25 assuming h is positive.\nAnswer: h**(2774\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 5*a + 5*a + 2*a**2 - 13*a - 8*a.\nAnswer: 2*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*v + 19. Suppose 0 = -4*o + 5*t + 15, -2*o - 1 + 9 = -v*t. Solve 23 + 2 = o*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 47 + 13 = 0. Let v be (-144)\/(-10) + (-8)\/x. Find the second derivative of v - 14 + 2*g - 4*g**2 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -76 - 4*m**2 - 2*m + 2\/3*m**3. Determine k(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 20*f - 34. Let v be b(-18). Solve -5 = -v*k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxicxxxxigykgcxgx. What is prob of picking 1 y, 1 i, and 1 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46736339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -714 divided by -14\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/14*(13 + -6). Let o be (-166)\/(-18) + f\/27. Find y such that 1 - 5*y - y**2 + o*y - 4*y**3 + 0*y = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.5 + -8. Which is the closest to -2\/5? (a) -4 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p - 42091 = -4*p. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-72) - (-1 - 26\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185929966?\nAnswer: 2, 92964983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svsl when four letters picked without replacement from {k: 5, s: 1, v: 1, l: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*o + 1 = 5*o + 8, -9*q - 42 = 2*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100000001011?\nAnswer: 100000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -5.8687.\nAnswer: 23.4748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242588 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 - 11*p + 22. Let a be b(9). Solve r + 4*s - 12 = 3*r, 3*s - 31 = -a*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -40001*k + 7. Suppose -4*y = 7 - 35. Let v be c(y). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -26*p - 357. Let o(d) = -7*d - 2. Let l(i) = -13*i - 4. Suppose z + t = 12, -6*z + 2*z = -2*t - 42. What is p*l(g) + z*o(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*x - 1, 230*g + 22 = 225*g - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 818022605 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: Let f = 1473 + -7367\/5. What is the closest to -6\/13 in -0.2, 16, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)*(-2)\/4. Suppose -g = 5*r - 81, -8*g + 4*g = 4*r - 52. What is the highest common factor of i and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let j(k) = 10*k. Let b(z) = -2*z. Let v = 11 - 8. Let p(c) = v*j(c) + 14*b(c). Calculate p(a(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let h(y) be the first derivative of -8*y**2 - 93. Determine h(t(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) -0.1 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Which is the smallest value? (a) -0.2 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 4*v - 7, 0 = -5*r + 5*v - 20. Let a(i) = -7*i + 1. Let g be a(r). Suppose g = -5*s + 28. Is s bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*t**4 + 40*t - 9*t**4 - 12*t wrt t.\nAnswer: 1344*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-7620)\/(-345) + 8 + -22.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d*d**(2\/71)*d*d*(d\/d**(-19)*d)**(-25))**(2\/27) assuming d is positive.\nAnswer: d**(-75398\/1917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -69*-5*(-5918)\/(-110)?\nAnswer: 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 12*x**2 + 2*x + 23. Let k be a(-12). Let z be (1204\/(-70))\/(k\/(-20)). Let f = z + 6541\/19. Is f greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/5 + -4)*-20. Let i = 61 + r. Suppose -4*j = i*j - 884. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.56. Let q = -1 - j. Let r = -0.96 + q. Which is the nearest to r? (a) -3 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2 + sqrt(7) + 0) + 4 + sqrt(7) + sqrt(70)\/((sqrt(10) - sqrt(50)\/sqrt(5)) + sqrt(10)))*1)**2*6.\nAnswer: 1536*sqrt(7) + 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*x - 504, -4*c + 3*x = -319 - 671. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104741 is divided by 134.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -23. Let v be 2\/6 - t\/(-21). Which is the closest to -1? (a) v (b) 2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 25, -34, -131, -278?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyyyymyymy. Give prob of picking 3 y.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -169*x + 165 + 334*x - 5*x**2 - 325*x = 0. Calculate x.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*s*x**3 + 1729881*s*x - 9*x**3 + 96*x**2 wrt x?\nAnswer: -48*s*x - 54*x + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + (-58 - -271) + -97.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 - 8*j**3 + 10*j**2 + 2*j**4 + 13*j**2 - 4*j - 13*j**2 - 4 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -13*j**3\/3 - 4*j - 1420. Let r(l) = -4*l**2 - 1. Calculate -2*p(h) + 7*r(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = 5*t, -3*t + 14 = -4*j. Let a(r) = 5*r**2 - 2*r - 23. Let l(y) = -2*y**2 + y + 10. Let i(d) = -3*a(d) - 7*l(d). Calculate i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 - 2 - (-28 - -28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 299, 278, 251, 224, 203, 194, 203, 236?\n\"Answer: t**3 - 9*t**2 - t + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 80815 = -2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2211*b - 10 - 2210*b + 4422*b + 34)*(b**2 - 4*b**2 + 2*b**2) to the form z + c*b**3 + q*b + o*b**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50*256\/(-800)*(-3)\/4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 = 8. Suppose f*d - 2*w - 36 = 6, -2*w - 90 = -5*d. Let h be (-12)\/d + (-15)\/(-36). What is the nearest to h in 0.4, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrj when four letters picked without replacement from {r: 3, j: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1351 + -22557?\nAnswer: -21206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 279 = 4*o, -3*o - 52 = -3*x + 4*x. Is (-6)\/33 + (-8205)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-40)\/(-8))*1\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 11*f + 23. Let n be x(9). Let g = 7 + -3. Suppose 2*p - g*i = -10, -4 = 2*p + 3*i + 6. Sort n, 0, p in ascending order.\nAnswer: p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -10 + 14. Suppose 0 = t + d*t. Solve 0 = -t*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {x: 2, e: 3, p: 4, c: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f**(-2)*(f*(f**(-3\/2)\/f*f)\/f)\/(f*f**(2\/5)*f*f))**(-2\/5) assuming f is positive.\nAnswer: f**(39\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzuzzzzuzzzz. Give prob of sequence uuz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**3 - 5*a + 86*a**2 - 86*a**2. Let j(y) = -5*y**3 + 4*y. Give 5*j(g) + 4*x(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((-2)\/18). Let w be (-86)\/z + (-6)\/18. Let t = -26 - w. Solve 0 = -4*k - l - 3, 4*k = t*k - 2*l + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100446 divided by 2.\nAnswer: -50223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2 + 2 - 9*d)*(-59*d**4 + 261*d**3 + 29*d**4 + 33*d**4).\nAnswer: 54*d**5 + 4698*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.05207ng to milligrams.\nAnswer: 0.00000905207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.975 + 0.025. What is the closest to -2\/3 in 2\/5, n, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1062061 + -32?\nAnswer: 1062026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*g + 3, -7*g = -3*y + 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1300) - (sqrt(1300) + -1*sqrt(1300) + sqrt(1300) + sqrt(1300)))**2 - sqrt(325)*-2*-3)*-1.\nAnswer: 30*sqrt(13) + 3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msssssrmsdmsmymd. Give prob of picking 1 s and 1 r.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 31*w**3 + 43*w**2 + 74*w + 111. Let f(o) = 11*o**3 + 14*o**2 + 25*o + 37. Let m(n) = -6*b(n) + 17*f(n). Let c be m(21). Solve 10 - c = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/505)\/((-6)\/285*-1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 531*h + 11135. Calculate m(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2 - 7007*f - 439078. What is a(641)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 30*b - 6. Calculate q(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -648, -1303, -1958?\n\"Answer: -655*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -758, -754, -748, -740, -730?\n\"Answer: l**2 + l - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwaaswwwyuaywws. Give prob of picking 2 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.49999986 + -2.5. What is f rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*b = 429*b + 771*b + 2634 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 357526.\nAnswer: 5\/178763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let j = 0.03 + -0.43. Which is the third biggest value? (a) j (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37510 is divided by 136?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.33 + -0.866. Let b = -0.036 - i. What is the nearest to 1 in -4, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 164*v**4\/3 - 7076*v**3\/3 + 14776*v**2 - 25728*v + 3456 = 0?\nAnswer: 6\/41, 3, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 13887.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22542, -22556, -22570, -22584, -22598?\nAnswer: -22612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/315071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48062 is divided by 6864?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:23 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1580 divided by -19\nAnswer: -1580\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -37. Let q be (43 - p) + 18 + -20. Let x = q + -37. Solve 4 = -0*g + x*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36685 is divided by 294.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6736646.6822 plus -0.3?\nAnswer: 6736646.3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -268 - -287 - (1 + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 3 + 2 - -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t. Let o(i) = 4*i**2 + 7*i. Let d(x) = 21*h(x) - 6*o(x). Let y(r) = r**2. Determine y(d(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -54. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.5 - -40.01. Let q = -3.01 + l. Let x = -0.2 + 0.4. Which is the closest to x? (a) q (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, -8, -67, -180, -365, -640, -1023?\n\"Answer: -3*g**3 - 2*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993402 is divided by 178.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/3 (b) 6 (c) 2\/5 (d) 22\/9 (e) 224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 25. Suppose -a + 2*i = -16, 2*a + 4*i = -3*a + 10. Let l be d(a). Solve 3*b - l - 8 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9934, -19909, -29968, -40153, -50506, -61069, -71884, -82993?\n\"Answer: -7*d**3 - 9926*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 2*z, 2*d + 0*z = -3*z + 13. Let g be -912 + -5 + 2 - 0\/1. Let i be (-550)\/g - (-34)\/(-51). Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 + 9*k + 8. Let m be r(10). Let d = -128\/5 - -26. What is the nearest to -0.2 in -5, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/180 - t**4\/18 - 98*t. Factor p(s).\nAnswer: s**2*(s - 2)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21298, 21296, 21294, 21292, 21290, 21288?\n\"Answer: -2*x + 21300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Let u = h - -10. Let g(m) = m**3 - 7*m**2 + 8*m - 5. Let x be g(u). What is the highest common factor of x and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2. Let m(w) = -w. Let f(k) = -k - 14. Let n be f(-16). Determine n*m(r) + b(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f - 2*f**2 - f**3 - 6*f**2 + 0*f**3 - 7. Let h be w(-9). Solve 1 - 4 - 1 + h*j + 2*j**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -4*n + 490. Let y = n + 281\/8. Put -3, -2\/5, y in ascending order.\nAnswer: -3, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -8.9. Put 1\/7, 3, u in descending order.\nAnswer: 3, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48018, 48080, 48214, 48450, 48818, 49348, 50070, 51014?\nAnswer: 52210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101000011110 (base 2) to base 7.\nAnswer: 336510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5864550 (base 10) to base 14.\nAnswer: -ac9326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44158406 - -25841847. Let f = u - -18316542.00000026. Let t = 17 + f. What is t rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.081 not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 54*r**2 + 12*r + 13. Let m(i) = 58*i**2 + 12*i + 12. Let q(a) = -13*d(a) + 12*m(a). Determine q(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r - 3. Let s be q(-3). Is -2\/9 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 68*h**2 + 102*h + 2176. Give b(-69).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -7, -12, -4.\nAnswer: -12, -7, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6022 - -241?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -70501 less than -263?\nAnswer: 70238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 1, q: 5, y: 5}. What is prob of picking 2 y, 1 q, and 1 p?\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 - 23*q**3\/3 + 11*q**2 + q + 14. Let k be t(22). Which is the smallest value? (a) -3 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.2 - -21011.93396.\nAnswer: 21006.73396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*d + 64*d + 42*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 19235?\nAnswer: 192350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 24. Let x be h(14). Suppose -5*m + 5 = -x*m. Solve m*j - 3*j = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z + 5. Let h(l) = -15*l + 6. Let w(f) = -4*h(f) + 5*m(f). List the prime factors of w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*o - 85*o + 1339*o + 4.\nAnswer: 1928*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 12*m**2 - 41*m - 40. Let g be t(15). Solve 5*b - 5*w = 0, 2*b = -0*b - 2*w - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89518220 a multiple of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-3))\/(9\/((-45)\/(-20))). Let k = -302 + 2110\/7. Let d be 7\/15 - (-6)\/(-9). What is the second smallest value in k, b, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1*(-2 + 3). Differentiate a + 2 + 1 + q**4 - 2 with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 - 27*i**4\/4 - 49*i**3\/4 - 9*i**2\/2 + 2*i = 0. What is i?\nAnswer: -4, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 1)*(1 - 2*t - 1) + (-2*t - 2 + 2)*(-1 + 5 + 1) to the form p + b*t and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 + -4. Let u = 0.2 + w. Let m = 0.39999996 - u. Round m to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -518406, -518411, -518416, -518421, -518426?\n\"Answer: -5*r - 518401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*1*(200\/35)\/20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose 5*r + 3*w - 66 = 0, j*r - 3*w + 0*w = 39. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-15) + (-14)\/(-175)*-5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21474 and 1476?\nAnswer: 1760868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337552*x**2 + 651523*x**2 + 218302*x**2 + 900552*x**2.\nAnswer: 1432825*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849053 is divided by 169717.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111576 divided by 6?\nAnswer: 518596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**2)\/j)**49 assuming j is positive.\nAnswer: j**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 6*p**2 - 11*p + 10. Is g(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -234 - 270. What is the hundreds digit of q\/(-162) + (-1411)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102112120 + -112?\nAnswer: -10102120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + 6 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-11))\/((-35)\/(-105)*3\/89).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 2*p + 0*p)*(-17*p - 9*p + 28*p + 12) in the form l*p**2 + r*p + s and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11266176 divided by 6?\nAnswer: -1877696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21723, -21604, -21485?\n\"Answer: 119*x - 21842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*z + 101*z - 1988. Suppose 54*l = 61*l - z. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 65\/17 (b) -0.3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -26. Let b be ((-34)\/w)\/((-22)\/33). Are -5 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.766588 centimeters?\nAnswer: 0.00002766588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 i, and 1 o when four letters picked without replacement from izouzzqqouuozuzzo.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-9) + (-28)\/(5 - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*g**2 + 3*g**2 - 4*g**2 + 0*g**2 + (-2*g**2 - 4*g**2 + 4*g**2)*(0 - 4 + 3) + 25*g**2 - 65*g**2 + 19*g**2 + 17*g**2 + 13 - 6*g.\nAnswer: -5*g**2 - 6*g + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 1. Let d(g) = 114*g - 26. Let h(l) = -5*a(l) - d(l). Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose 5*l = v*n - 8 + 29, 0 = -l - 3*n - 6. Let y(p) be the second derivative of -p**4\/12 + p**2\/2 - 2*p. Determine y(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 3*q**4\/8 - 3*q**3\/2 - q**2. Let k(u) = 14*u - 14. Let b(p) = p - 9. Let y = 7 - 3. Let g be b(y). Give g*k(m) + 8*j(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103128, -206256, -309384, -412512, -515640, -618768?\nAnswer: -721896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1506\/7 - -96251\/448. What is the common denominator of d and 3\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1 + 1)*-69. Suppose 4*k + s = 7*k + 4*g, -2*k - 4*g + 50 = 0. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6235821 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 82*c - 70 = -66*c, -2*c - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576) - sqrt(576)*1) + sqrt(576))\/(-2*sqrt(600) - sqrt(600)))\/((sqrt(32)*-2 + sqrt(32))*1 - (sqrt(32) + (-1*sqrt(160))\/sqrt(5) + sqrt(32)))*-5.\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2625218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175744244 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 2209*i**4\/4 + 141*i**3 + 27*i**2\/2 - 512*i. Factor a(g).\nAnswer: 3*(47*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 - -254. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5549\/4 - -1365. Let k = 23 + j. Let c = 12 + -11.5. What is the second biggest value in 1, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (-24 - -29 - (5 + 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/957 and -35\/435336.\nAnswer: 12624744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333531, -667040, -1000551, -1334064, -1667579, -2001096?\nAnswer: -2334615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2510 and -40\/29367?\nAnswer: 293670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v - 192 - 63 + 69 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*n - 95*n = -a - 14*a + 21, 28*n + 4*a + 156 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 minus 483202853511?\nAnswer: -483202853272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.032 - -46.032. Let i = v - 45.942. Let h = i - 0.058062. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003612 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 4, -0.1, -1.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 19 - 1 = -l, 2*t - 5*l - 25 = 0. Solve -4*x - 1 = -5*y, t*x = -y - 17 - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*u + 50 + 6 - 55 + (2 + 1 - 4)*(0 + 0 + 2*u) to t*u + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4411511\/72 - -61272. Let a = -9\/8 + i. Let g be (4 - 0)\/2*2. What is the fourth biggest value in a, 5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 0 = -6*k + 5*k + u. Find the common denominator of 187\/(-90) - k\/18 and 25\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123746 = 101*h + 122231 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 4147869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20001212 (base 3) to base 8.\nAnswer: -10510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 23796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428d27 (base 15) in base 12?\nAnswer: 10898b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59242538.\nAnswer: 2, 2467, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 525 + -357. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) -12594 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 4296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - -3.9. Let z = p + -1. What is the closest to -0.1 in 0.2, z, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/3))\/(m*m\/m**(2\/7))*(m*m**6*m)\/(m**(-2\/5)*m) assuming m is positive.\nAnswer: m**(737\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llleexillllleiexlll. What is prob of picking 2 i and 1 x?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-3 - -7)) + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1389457 and 1717?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2395 divided by -479.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from {p: 2, c: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-1 + (-3 - -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 + (4 - (3 + 4))*1. Solve -5*h = 5*b - g, -b = -4*h - 0 + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 4 (c) 0.1 (d) -3.59 (e) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - (-45)\/10)*-649. Let q = r - 316. Calculate the common denominator of 1*-22*18\/8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**3\/3 + 1180*d**2 - 506*d\/3 = 0. What is d?\nAnswer: -253, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + (-4)\/6. Suppose 4*u = -4, 4*u - 3*u = 2*j - 9. What is the nearest to 0.1 in j, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 7405 - 850 = -692*h - 1175 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z**4 + 16*z**3 + 8*z**2 - 16*z - 1. Let v(r) = -30*r**4 + 40*r**3 + 20*r**2 - 40*r - 2. Let l(x) = 12*j(x) - 5*v(x). Factor l(h).\nAnswer: 2*(h - 1)**2*(h + 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4130550 + 21?\nAnswer: 4131011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19 - (27 - 43)) + 426986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 8. Let l(m) = -3*m**4 + 5*m**2. Let h(g) = 3*g**4 - 4*g**2. Let o(q) = b*h(q) - 3*l(q). What is the third derivative of o(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 3}. What is prob of sequence zzz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose v - 15 = 2*k, 7*k = -2*v + o*k + 2. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78048, -77780, -77510, -77238, -76964, -76688?\nAnswer: -76410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 14 - 4*o**3)*(-4 + 4 + o) - o**4 + 4*o**3 - 4*o**3 as p*o**2 + w*o**3 + h + j*o + s*o**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/264*-12*(-12375)\/150.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -252a2 (base 13) to base 5\nAnswer: -4143302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3072*r**2 - 4*r - 4. Let u be p(-1). Is 4\/(-20) - u\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 5*i + 30, -i = -4*z + 22. Suppose 0 = -z*w + 4*w + 7. Let j be 2\/w - 0\/(-1). Which is the nearest to 1? (a) 0.5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 - 9*x + 1. Let g(s) = -s**2 - s + 1. Let m(p) = c(p) - 4*g(p). What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373984 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, -94, -0.4, -3\/5, 1?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6066168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-2*j - 42 + 0*j + 41)*(-3 + 1 + 5).\nAnswer: 18*j + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + v + 3 + (-4 + 2 + 4)*(3 - 3 - v) + 3*v - 5*v + v - v - v + 0*v + (-4*v + 4*v - 2*v)*(-2 + 0 + 3).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -320, -707, -1248, -1943?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 76 = -4*p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/9, -0.1, -17, 2\/3.\nAnswer: -17, -1\/9, -0.1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 9190 - 9190. Let i(v) = 4*v + 39. Calculate i(s(w)).\nAnswer: 4*w + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2*t - 395*t**2 - 341*t**2 - 1134*t**2 as w*t**2 + a*t + k and give w.\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 367.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.4537ng in kilograms?\nAnswer: 0.0000000007484537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c*c**(2\/13)\/c))\/(c**(-5\/6)\/(c*((c\/(c\/(c*c*c\/c**(-2\/5)*c))*c*c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(4321\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0342 + -45.8342. Let o = -46 - v. Which is the second smallest value? (a) -3 (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 9. Let i be k(6). Suppose -17 = i*z - 5. Sort z, -5, 3 in increasing order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11573440300 rounded to the nearest 1000000?\nAnswer: 11573000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30736.019 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = w, -2*w + 2*o - o = 2. Let u = 4 - -7. Let y = 12 - u. Is w equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3402 and -37\/1620?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 8*l**2 - l - 4. Let v be 22\/(-3) - (-6)\/(-9). Let p be q(v). Suppose 5*u = -3*y - y + 23, 0 = 5*u - 2*y - 11. Solve p = -u*k - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 38 + 0 - ((2 - 2) + -8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t + 44*t = 170. Solve 4*l - t*l - 5 = -j, 2*j = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4592*t**2 - 4585*t**2 - 4590*t**2 - 4590*t**2 + 18385*t**2.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 0 + (2 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 0.46.\nAnswer: 13.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 8.4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27472327 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1250 and 14710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/12)\/((-76)\/(-12) + (-126)\/(-14)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1438276 by -868.\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**50*z\/(z\/(z\/z**(-2)))*z*z**(-3) assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 3)*(-49*l**5 + 6181*l**3 - 6181*l**3).\nAnswer: -196*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (805\/(-414))\/(25\/10)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2275.1 + 2275. What is the nearest to 2 in -2, -27\/5, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1175*o - 6. Let y be b(3). Let n be (6 - 0)\/(17\/y). List the prime factors of 3\/15 - n\/(-15).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 9 + 3, 0 = 4*p + 3*y - 3. Suppose 10 = p*a + 1. Suppose -a*f + 11 = -1. Put 5, -3, f in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - 38\/90. Let r be (4\/15)\/(-2) - 0. Let d be 3*(2\/(-6) + -1). Put r, t, d in decreasing order.\nAnswer: r, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 2\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 27*i**2 + 22*i + 92. Let q be t(-26). Let n be ((-7)\/2)\/(2\/(-16)). What is the greatest common factor of q and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 868 and 36?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2574 and -143\/108.\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r + 4. Let s = -101 + 120. What is the remainder when t(5) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*-45755\nAnswer: -1006610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2*x + 3)*(480 + 2*x - 951 + 477)*((0 - 3 + 2)*(5 + 2 + 9) + 4 - 2 - 3) to l*x + r*x**2 + u and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 360 + -32. Suppose 0 = -2*m - 6*m + d. Solve -3*n = n + 2*x - 12, 4*x = 5*n - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34916, -139679, -314284, -558731, -873020, -1257151, -1711124?\n\"Answer: -34921*y**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 79, -4, -0.3, -3, 41.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*f*q*w**3 + 19*f*q*w**2 + 195*f*q*w - 2*f*q - 555*w**3 - 27336 wrt w?\nAnswer: 960*f*q*w + 38*f*q - 3330*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 divided by 3?\nAnswer: -1445\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 + 3*s - 5. Suppose -5*a = -a - 24. What is the remainder when 25 is divided by q(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**2 - 53*t - 23. What is v(4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 4*z**2 + 3*z - 3. Let c be y(3). What is the tens digit of (-1)\/c*-1*-51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16166 at least as big as 16171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, v: 1}. What is prob of sequence xvj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 267091 or 2403820\/9?\nAnswer: 2403820\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 + 2160*l - 2164 = 0. What is l?\nAnswer: -541, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1984 + 669. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i + 45*i + 45 = 0. Suppose 5*u - 25 = 0, -7*r - 4*u + 30 = -i*r. Let y be 2 - (4 + 3 - r). Solve -g = -z + 3*z + 2, -z + 4*g - 1 = y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o - 3. Let u be z(-3). Suppose 154 = -u*s + 5*s. What is the greatest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-1 + 23 + -85)) + 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/6 - 78)*-8*13. What is the third derivative of -327*g**6 + 4261*g - j*g + 4260*g - g**2 wrt g?\nAnswer: -39240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 1:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -13*z + 317. Suppose -5*s + 0*s = -20, z = n + 5*s. Solve 12*a - n = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwj when three letters picked without replacement from {q: 1, r: 1, n: 1, j: 1, w: 2, u: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let d(t) = 3 - t + 2*t - 4*t - 5*t. Let j(c) = 25*c - 10. Let v(w) = -10*d(w) - 3*j(w). Calculate v(f(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.96977 - -11\nAnswer: 12.96977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = k + 16, -5*k - 4*l - 13 = -2*k. Let c(q) = q**3 + 9*q**2 - 22*q + 4. Let p be c(k). Solve -20 = 9*m - p*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300330210 (base 4) in base 15?\nAnswer: 250683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 3, o: 4}. Give prob of picking 1 o and 1 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1152 and 85\/144?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - 4b64?\nAnswer: -4b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111323 - 10?\nAnswer: 2111313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 - f**2 - f - 6. Let q be m(-1). Let n(o) = -3*o**2 + 8*o**q - o**2. Let k(a) = 3*a**2. Give k(n(w)).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-108)\/(-81) - (-1 - (-3)\/(-3)). Let l = 1 - 5\/6. Sort u, l, -23, 3 in ascending order.\nAnswer: -23, u, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21858885 and 1305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y)**(-19)*(((y*y**(-1\/3)*y*y)\/y)\/y)\/y**6 assuming y is positive.\nAnswer: y**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/10*25\/(-10). Suppose g*v - 140 = -4*a - 3*v, 2*a - 52 = 2*v. What is the greatest common divisor of 120 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40908, 85881, 130856, 175833, 220812, 265793?\nAnswer: 310776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*v + 20, 5*v = 3*l + 2*l - 25. Let n be -4 + -4 + (l - -1). Let w be 4 + 0 - n - 4. Solve -2*c = -2*f - 14, -5*f + 9 = -w*f + 3*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -ba?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**3 - 9*a**3 + 12*a**3 + a**3 - 2*a**3 + 2*a**3 - 2*a**3 + (0 + 2*a**2 + 0)*(-2*a + 3 - 3).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 4. Let c be k(3). Let i be 10\/(-36) - c\/4. Let t = -1095 + 25183\/23. Sort t, i, -1\/5 in decreasing order.\nAnswer: i, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 14*z**2 - 3*z - 13\/3*z**3 + 0. What is the first derivative of l(d) wrt d?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261520.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-15))\/(9\/(-3591)). Let b = 578 - v. Calculate the remainder when 59 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15.7 or -2086161?\nAnswer: -2086161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.14. Let v = -0.439999 - c. What is v rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13 - 5 + 56*d - 50*d. Is s(12) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483 + 3365 + 2758 = -182*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 18 + 10)*(0*h + 2*h - 4*h)*(46 - 51 - 23).\nAnswer: 112*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:10 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(2 - -879)*(-4)\/10. Suppose -1766 = -3*y - c, 3*y = -0*c + c + q. What is the highest common factor of y and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 6*b)*(4*b**3 - 3*b**2 + b**4 - 8*b**3 - 2*b**3).\nAnswer: 2*b**5 - 12*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*j + 1 - 2 + 86*j + 3 - 160*j in the form o*j + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4*u + 3. Let g be i(10). Suppose m - g = 36. Let v be (-2 - -1)*11\/(-1). Calculate the highest common divisor of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*i)*((-3*i + 4*i + 0*i)*(-2*i**2 + 2*i**2 - 2*i**3) - i - 2*i**4 + i + 27*i**4 - 16*i**4 + 39*i**4).\nAnswer: 184*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*f + 92*f - 351 = 0. What is the closest to -0.2 in 4, -9\/7, f?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270888*a + 4 = 270889*a - 2*h, 2*a - 5*h - 9 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/((-760)\/11270)*(-1)\/(-7))\/(315\/540)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6525, 3, -3 in ascending order.\nAnswer: -6525, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*f*g**2 + b - 141*f*g**2*k - f + 47*g*k - g wrt g?\nAnswer: 2*b*f - 282*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 5:24 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172104129 is divided by 297758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/9 + 80782*t\/9 - 14910445\/9 = 0. Calculate t.\nAnswer: 185, 80597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1) + 24\/2. Let f be 8\/b*2\/(-4). Let r = -397 - -395. Is f >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let t(l) = l**2 - 2*l + 2. Let p = 4 + -1. What is the remainder when t(g) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {d: 2, s: 1, f: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*u = -11, u = -3*p + 6*u - 5. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 + -524. Solve -s*d - 3*g = 2, 4*d - 2 = 5*d + 2*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 5*c + 4. Suppose 0 = 2*j - a + 10, 5*a - 8 + 56 = -4*j. Let i(r) = -5*r**2 - 9*r + 7. Let g be 2\/(72\/32*10\/45). Calculate g*i(y) + j*q(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhihififhwwuixhwfuxu. What is prob of picking 1 x and 1 u?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -480, -419, -358, -297, -236?\n\"Answer: 61*n - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108448*a**3 - 109976*a**3 + 218439*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 28*c + 2*o - 26344 = 0, -4*o + 20 = 0. Are 4389 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -165.999797. Round s to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 63*f**2 + 360*f - 624.\nAnswer: 3*(f - 13)*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 bigger than 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 14*r = -3. Let t = -29 - -45. Factor 13 + t*v - r + 4*v**2 + 0.\nAnswer: 4*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -0.3, 9, 3, -257, 0.2 in decreasing order.\nAnswer: 9, 3, 3\/4, 0.2, -0.3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 - 0.37. Which is the smallest value? (a) o (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-16)\/(-4) - 3). Is -28*(13\/g + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -477 + 478. Suppose q = -h + 17, 4*h = -c - 11. Suppose 3*v = 4*w - 91, 4*v = -5*w - v + 140. What is the greatest common divisor of q and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 - 279. Let u(t) = -t**3 + 6*t**2 - 3. Calculate u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l - 10. Let q be z(6). Let p(c) = -c**3 - 5*c**2 - 6*c - 6. Let u be p(q). Let h(d) = 2*d**3 - 4*d**2 + 3*d. What is h(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (sqrt(1024) - sqrt(1024)*1) + sqrt(1024) + sqrt(16) + (-2*sqrt(1296) - sqrt(16) - sqrt(16)) + sqrt(16))\/(sqrt(48)\/(2*sqrt(6)*3)).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2\/(4\/6*27)*(18 + 5)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (3280\/105)\/4. Let o = 73\/42 + v. What is the common denominator of o and ((-315)\/80)\/(-9) + -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 10*w**2 - 4*w - 10. Let m be k(9). Let g = m + -10. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 18. 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: Let w(z) be the third derivative of -1\/24*z**4 - 6 + 0*z - z**2 - 29\/20*z**5 + 5\/6*z**3. Find the second derivative of w(h) wrt h.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 9*r - 14*r + 5*r. Let n(c) = 67*c. Calculate n(q(v)).\nAnswer: 134*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 2*y + 9. Let s(z) = -6*z**2 - 3*z + 14. Calculate 8*k(c) - 5*s(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 129*z + 63*z - 2 + 65*z + z**2. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 7*z - 2. Let p be b(-5). Suppose -4*l - p = -6*l. Suppose o - l = -0. Let u(d) = d**3 - 4*d**2 - d - 2. Calculate u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1123 (base 6) to base 9\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -4 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5461048.\nAnswer: 2, 29, 23539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**2 + 47*w + 6. Determine z(-3).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 14. Let h = g + -5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 397 = -12*a, 16*a = c + 17*a + 34 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 4*a + 7, -2 = -4*d + 5*a. Suppose -390 = -0*o - d*o. Suppose -w = w - o. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 73 = 5*f, t + 8 = 4*f. Suppose -t*n + 9*n + 9 = 0. What is the smallest common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-62)\/4 + 21413\/931)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 112?\nAnswer: 67\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**4 + t**2 + t + 1. Let k(j) = 15*j**5 + 78*j**4 + 69*j**3 - 54*j**2 - 96*j - 36. Let x(w) = -12*i(w) - k(w). Determine n so that x(n) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8787 + 19aa?\nAnswer: a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2*d + 3*d, d = -g. Let i be (-44)\/15 - -2 - d\/5. What is the fourth smallest value in 1, 0, i, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3, -2\/11, -7, -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -67524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 18*m**3 - 3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22919573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -37388710?\nAnswer: -37388717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16446 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxdxlyyyk. Give prob of sequence ky.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(209)*-2)\/sqrt(11)).\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 10*n + 26. What is the remainder when 8 is divided by f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -599436 and -11.\nAnswer: 6593796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 747761689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2452116263 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.16, -87, -1 in descending order.\nAnswer: 17, -0.16, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(10\/210).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2 - 9 - 2 - 3*o**3 - o**4 - 2*o**2 in the form v*o**4 + u*o**2 + q + a*o + i*o**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 - b**2 - 100174 + 100030 + 146*b = 0.\nAnswer: 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -942 - 1308. What is the tens digit of (-12424)\/(-18) - (-5)\/(u\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -79*p + 1221. Calculate the remainder when 4*(-106)\/4*-1 is divided by l(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-36) + 1161\/(-810)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhxzzhzzphtqph. What is prob of picking 2 q, 1 x, and 1 h?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-16)\/14 - 1427266\/(-291704)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*o**5 - 87178*o**3 + 0*o**4 + 0*o**4 + 2 + 87176*o**3 - 90*o wrt o?\nAnswer: -2500*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6984\/970*((-60)\/27)\/((-2)\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - 107. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 5*d)*(-1 - 4 + 3) + (0 - 14 + 4)*(2 - 2*d - 2) to the form w + v*d and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530555 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, 7050, -1\/3, -43 in descending order.\nAnswer: 7050, -1\/3, -2\/3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1584 + -1582. Sort -268, -4, -5, b.\nAnswer: -268, -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1 + 41*f**2 - 82*f**2 + 38*f**2. Let s be y(1). Let l = -0.52 - 0.68. Which is the biggest value? (a) -2\/21 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -659*n. Let x(p) = -298*p**2 - 2. Calculate r(x(f)).\nAnswer: 196382*f**2 + 1318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 51*k = 47*k + 746, -5*u + 4*k = -754. Calculate the greatest common factor of 2475 and u.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 60 = -9*q + 4*z, 3*q = 2*z + 94. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332999 to the power of 1\/2, to the nearest integer?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10) - (-6)\/(-10)*1. Solve 0*b**2 - 2\/9*b**5 + i + 0*b**4 + 0*b**3 + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(3*(3 + (sqrt(63) - (sqrt(441) - (sqrt(441) - (1*sqrt(441) + sqrt(441))))\/sqrt(7))) + -2))**2 + -2.\nAnswer: -113400*sqrt(7) + 554398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26654 + -8251. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197645500 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2668 - a**2 - 7445 + a**3 + 5004.\nAnswer: a**3 - a**2 - 5109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8*((-121)\/286)\/(-1) and 1\/1352.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65286 (base 14) in base 7?\nAnswer: -2036326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31.29211 - 0.1\nAnswer: -31.39211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*i**2 + 259*i**2 - 526*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Suppose -t + 39 = f, f + 0*f - 73 = -y*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/(-3))\/(-7))\/((-4)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1027430 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23268071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:53 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 + -250. Let r = v + 160. Suppose 3*b + 15 = 0, 5*h = 2*b - 5*b + r. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1126, -1152, -1178?\n\"Answer: -26*q - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 11*k**3 + k**2 + 153*k**4 - 154*k**4 to the form l*k**2 + b*k**4 + c*k**3 + i + p*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/6 + 27*m**4\/2.\nAnswer: -m**4*(m - 81)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-40)*1729\/266?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/(1745\/2094)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3333223 (base 5) to base 12.\nAnswer: -29a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194083339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2*z**3\/3 + 7*z**2\/2 + 6*z + 1. Let d(r) = r. Let k be d(-4). What is the lowest common multiple of 20 and o(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 87 = 3*g - 340, -2*g + 252 = 5*s. Solve 81*y + s = 71*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2636*z + 979*z + 2629*z as j + o*z and give o.\nAnswer: 6244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2954070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + k = 3*k + 396, -n = 4*k - 81. Is 101 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 11*b. Let t(h) = 2*h**2 + 3*h - 1. Let k(w) = -w**2 - w + 1. Let y(f) = -k(f) - t(f). Determine -2*m(r) - 11*y(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -141, -262, -381, -498, -613?\n\"Answer: a**2 - 124*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.08 + 4.01. Let t = -0.07 - k. Let r = 4 - 5. What is the smallest value in r, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*v**4 - u*v**3 - 26166*u*v**2 - 8228*v**4 - 2*v**3 - v**2 wrt v.\nAnswer: -24*u*v - 6*u - 197472*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10849560, 10849522, 10849484, 10849446?\nAnswer: 10849408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175148366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*q**3 - 127*q**2 - 2*q?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -5*n + 2, 5*l + 5*n - 1 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2. Let c(n) = 312*n**2 - 2145. Let y(h) = -13*h**2 + 90. Let m(x) = 6*c(x) + 143*y(x). What is m(b(q))?\nAnswer: 1300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20155, -40354, -60553, -80752, -100951?\n\"Answer: -20199*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 46 - 6) + 94.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 6 + 4. Let o be 42\/(-10) + (-1)\/w. Put -3, -1, o in ascending order.\nAnswer: o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.104 + -273122.8?\nAnswer: -273120.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 0.907?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 411*t + 190. Let j be d(1). Solve 16*z - j + 713 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886896941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + l - 1. Let m be i(3). Suppose 0 = 5*r + m, r + 35 = a - 2*r. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8295*d**2 - 4516 - 424 + 968*d + 16586*d**2 - 8287*d**2 = 0 for d.\nAnswer: -247, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2447 + 779 = -3*f + q, 12 = -4*q. Calculate the highest common divisor of f and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76699 and 10.\nAnswer: 766990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 14*j - 17. Let f be m(5). Calculate the highest common factor of 64 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18715294 divided by 719819.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-8))\/(3\/12). Suppose 0*n + 6 = 5*n + 4*g, o*g + 3 = -n. Solve 4*m - 24 = b, -1 = -n*m - 4*b - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -28, -3*s - 572*j - 11 = -570*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.49 - -0.49. Let c = 87.818 + -65.69. Let w = n + c. What is w rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.4. Which is the smallest value? (a) n (b) -2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5 (c) 24 (d) -0.636 (e) 30.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 - 4*n + 15*n**2 - 2*n**2 - 10*n**2. Suppose -4 = 2*m - 2. Let a(i) = i**2 - i. Calculate m*w(r) + 4*a(r).\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2613334, 3?\nAnswer: -2613334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 + y**3 - 7 + 10661*y - 10660*y + (-3*y + 3*y + y**2)*(y - y + y) to the form b*y + h*y**3 + k*y**2 + j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*w + 17 + 13, -2*j - 5*w = -18. Suppose j*y = -y + 65. Let p(u) = -u + 15. What are the prime factors of p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174684 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 138.\nAnswer: -6900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 12752*d**3 + 8 - 12774*d**3 - 4.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 97. Calculate the least common multiple of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose -5*v = -2*i - 4*v + 119, q*i - 3*v - 129 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 13*s - 45. Let z be x(16). Differentiate 4786*y**3 - 5 + 13 - 4846*y**z with respect to y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1613744 and 83\/110.\nAnswer: 8068720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 15183223 and 15183224 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -0.42 (b) -2465 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 7. Calculate the remainder when 84 is divided by c(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-4)\/(-6). Let m = -0.7 + 3.7. Let v = 25278 + -25274. Which is the closest to -1? (a) v (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c + 2. Let m be t(1). Let g be (-4)\/(-3)*m\/4*6. Let z(x) = 8*x**2 + 2*x + 3 - 5 - x**3 - 6*x**g. Determine z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(sqrt(11)*-1) - sqrt(28)) + (sqrt(28) - (sqrt(56)\/sqrt(2) - sqrt(28))*-3))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*l - 15. Let z be (l\/(-18))\/(4\/5526). Is z\/6 - 15\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 26*v + 68. Let d be y(23). Which is the nearest to 0? (a) d (b) -4 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.355 + -0.255. What is the closest to -1 in -3.2, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 2:23 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*o*q + 1668*h*o - h*q - 2*o*q + 3*o + 2207*q wrt q.\nAnswer: 2*h*o - h - 2*o + 2207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176510846 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = 10*h. What is the smallest common multiple of 13 - (-7 + 6 + h + 0) and 62?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28754775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 + (12 + -23 - -12) + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487 + 6491 = -7828*a + 7645*a - 15446 for a.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-15))\/(6\/(-3600)). What is the hundreds digit of (1 - k)\/11 - 3\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.13 - -1.55. Which is the biggest value? (a) k (b) 1\/7 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 12 = 4*q. Let u = -16 - -60. Let n = u - q. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -123*r**5\/20 - r**4\/12 + 87*r**2\/2 + 4*r + 1. Differentiate f(v) with respect to v.\nAnswer: -369*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 204 = -57. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from bwbwwb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/8 + 3\/8*c**2 - 9\/4*c = 0 for c.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 u when three letters picked without replacement from puuudpaudugugg.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60147139 is divided by 10024519?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41032172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87106.\nAnswer: 2, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11011011?\nAnswer: -11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 - -343. List the prime factors of v.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 - 3*o - 7. Let m(w) = -w**3 + 5*w**2 - 6*w - 3. Let x be m(3). Let f be s(x). Solve -2*g = 5*j + 8, 4*g = 3*j + f*j - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/46, -0.16, 4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 43 = -17*h, l = 1196*h - 1193*h - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -13*g. Let l = 3 - g. Solve -4*t = l*u + 28, 4*t - 8 = 2*t + 4*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(4*k - 6*k + k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1335393 and 2670786?\nAnswer: 2670786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 1883115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 8*p**2 - 8*p**2)*(74*p + 7*p + 10*p) + 0*p**4 + 2*p**4 - p**4 to n*p**3 + t*p**2 + u*p + o*p**4 + i and give o.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - -2*sqrt(99)*-6)) + sqrt(99) - (sqrt(99)*2 + sqrt(99))*-2)\/((sqrt(72) + sqrt(72) + 4*sqrt(72))\/sqrt(8)*4) + 0)*3.\nAnswer: 19*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(700) + (0 + sqrt(700) - sqrt(700))*-4)**2*2 + -2).\nAnswer: -41988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20374\/5 > 4074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152750 is divided by 3250.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkhhahhhahkhhhaah. Give prob of sequence ka.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -120*o + 1. Let r(z) = -z + 1. Give j(k) + r(k).\nAnswer: -121*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/3 (b) -0.3 (c) -4\/7 (d) -0.2 (e) -211\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.33 - 0.67. Let h = y + 8. Let f = h + 35.9. What is f rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229934339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6971032 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51727.73cm?\nAnswer: 517.2773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 14*d - 52. Let f be b(3). What is the highest common divisor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) -2\/9 (b) -83 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 8*o + 110. What is the highest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2574, 5214, 7852, 10488, 13122?\n\"Answer: -l**2 + 2643*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 567941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 9 + 2 + 4*g + 8 - 2*g**4 - 3*g as j*g**2 + b*g**3 + a + w*g**4 + m*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-3) - 0 - 1. Suppose -c + 4*f + 41 = 0, -4*f - 61 - 13 = -2*c. Suppose k*w - c = -0*w. Calculate the greatest common divisor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 310854?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168831 and 73346?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/6 (b) 0.07 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4. Which is smaller: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/132 and -131\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)\/(-7 - -11)*(11 + 1 - 84)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4))**(2\/11)\/(o**0)**(4\/17) assuming o is positive.\nAnswer: o**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 445*v - 1. Let w(j) = -404*j**2. Determine h(w(i)).\nAnswer: -179780*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Suppose -p = -5*n - 35, 0 = 5*n - 2*p + 10 + 20. Calculate the remainder when (63\/12 - 3)\/((-3)\/n) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103761 + 162298. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 2:59 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**2 + 49*d - 49. Let z(x) = 3*x**2 - x + 1. Let t(o) = -p(o) - 3*z(o). What is the units digit of t(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 483, 751, 1007, 1251?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 235 - (-197 + 374) - ((2 - 4) + -1)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95085000 rounded to the nearest 1000000?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 1. Let a be f(1). Let c be 61 - a\/4*-2. Let j be (-1 + -3)\/(1\/(-3)). Calculate the highest common divisor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 372\/(-188) - 3. Let y = k + -43\/188. Which is smaller: y or 36?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, 3, -29\/11, 23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 + 7*d + 10. Give w(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 minus -46.55?\nAnswer: -100.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181160 divided by 10?\nAnswer: 18116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:38 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1000010110110101 (base 2) to base 14\nAnswer: -c68d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 (base 7) in base 8?\nAnswer: -1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-8)*-2)\/((4 - -2)\/24). Let n(s) = -24*s + 3. What is n(c)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 33. Let o be l(-5). Let w(n) = -5*n + 7. Determine w(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1763 and 3629243?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/401130 and 73\/42.\nAnswer: 2807910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 13393 (c) 85 (d) -3 (e) 0.3 (f) 1 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255405 - -13?\nAnswer: -255352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127634114 rounded to three decimal places?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 37, -0.0359, 10, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(363) + 4*(sqrt(363) + sqrt(363)*1) - sqrt(27)\/(sqrt(900) + 4*sqrt(900)))**2.\nAnswer: 73477803\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.09481 years?\nAnswer: 0.02909481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 0)*-3 + (-4576)\/(-728). Which is the nearest to 4? (a) u (b) 2\/15 (c) -4\/9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49392 divided by -6\nAnswer: -8232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 306023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {x: 1, s: 4, t: 1, r: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -31. Suppose -8*b + x = -3*b. Suppose k - 29 = -5*w, -2*k + 5*w - 11 = -k. Solve -k - 5 = -2*l + b*o, -l - 3*o = 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*k + 157*k + 12*k**2 to the form c + n*k**2 + a*k and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - ((-7)\/(-84) - 7*15\/(-36)). Find x, given that 16\/5 + 12\/5*x + 2\/5*x**a = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44681 and 97\/130.\nAnswer: 446810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 - (-1 - -2) - (-27 - -29))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*t**3 + 41*t**3 + 2*t**2 + 37 - t**2 + 15*t**3 - 39 to k*t + j*t**3 + y*t**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 47 = 3*p + 4*l, 745*l = -4*p + 748*l - 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1810\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44232 by 1843.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3)\/((-935)\/2244)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*i + 6647 = j, -i + 56*j - 60*j + 61 = 0 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -20 + (-29 - (4 + 31)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/3*(-45)\/18. List the prime factors of (-16)\/80 + (-4826)\/x + 0.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2 + 346*u + 4452 = 0. What is u?\nAnswer: -159, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 88 - 17 = 0. Let p = k - -25. Find the third derivative of -b + b + 4*b**4 + 2*b**p + 6*b**2 wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10247 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -2\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - 3*f)*(-f**2 + 3*f**2 + f**2)*(2*f - 3*f - f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/11 (c) -14.4 (d) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**5 + 10714*t**4\/5 + 836508*t**3\/5 + 4022744*t**2\/5 + 104304*t = 0.\nAnswer: -246, -106, -5, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8436227 rounded to three decimal places?\nAnswer: -0.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 2. Let f(g) = -g**3 - 9*g**2 - 10*g - 9. Let u be f(-8). What is the units digit of r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*l - 8 + 22, -3*n + 16 = -2*l. Solve 0*x + 4*x = 4*b + 24, 5*b + 12 = -n*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5181 + 1527 + 6252*a + 3383 wrt a?\nAnswer: 6252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and 2.4.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 211*b - 36717. Give d(174).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/14 + 9\/21. Let n(x) = 1. Let w(g) = 2*g - 2. Let b = -3 - -1. Let i(m) = b*n(m) + h*w(m). Let z(o) = 2*o. Determine z(i(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04135 greater than or equal to -629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2 - 11.2. Let z = 4 - 3. Is l at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l - 18. Let n be h(5). Solve 3*g + n = 4*y, -16 = 3*y + 5*g - g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 1501826.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwgwgmggggpdmd. Give prob of sequence gdd.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 2*o**2 + 1. Let n be v(1). Let m be n + (-2)\/(-2) - -4. What is the remainder when ((-25)\/(m - 3))\/1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -5\nAnswer: -136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulxuuubl. Give prob of sequence bx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -611*z - 2. Let d(i) = -1685137*i - 5517. Give 2*d(c) - 5517*l(c).\nAnswer: 613*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 3*n + 2*n - 15*n + 2*n - 327 to m + i*n and give m.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from yvwvwtwwbyywwtv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320657 - 471367 = 139*v. List the prime factors of v.\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/9 - (-53256)\/(-2536)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*b**4 - b**2 + b - 99 - 8*b**3 + 4*b**3 + 0*b**2 + 2*b**2 - 395*b**4 as t*b**3 + y*b**2 + s*b + m + w*b**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 6*b + 2. Let v be a(-6). Let s = v + 1. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) + 2 - (-4 + sqrt(2) + sqrt(2) + sqrt(2)*1*-5))**2.\nAnswer: -48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 72. Suppose j*r - 43 = 12. Let b(n) = -n**2 + 12*n - 14. Calculate b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 435.\nAnswer: 42630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o**3 - 4*o**4 - 2*o**2 - 5*o + 0*o**2 + 0*o**2 - 26*o**3 in the form u*o**3 + b*o**4 + q + m*o + i*o**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -0. Put p, -4, 3 in ascending order.\nAnswer: -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733803347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - g + g + 5*g**2 + 11*g**2 - 38*g**2 + (2 + 0 - 3)*(-9*g**2 + 0*g**2 + 5*g**2).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25. Sort i, 0.06, 0.\nAnswer: 0, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u. Let t(g) = -g**2 - 58*g + 1. Give -4*c(r) - t(r).\nAnswer: -3*r**2 + 70*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6 = -u, -3*x - 2*u = 1 + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -481 + 481. Suppose 2*l - i - 7 = n, 7 = -l + 6*l + i. Solve 4*w - w = l*z + 20, 0 = -2*z - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*x + 106, -x + 25 = -4*t + 149. Suppose 5*r + o = 98, -r + 2*o + 22 = o. Let k = t - r. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446*s**3 - s**2 + 278 wrt s.\nAnswer: -2676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13 - 6 - a**2 - 7. Let z(m) be the third derivative of m**5\/10 + 9*m**2. Calculate b(z(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-48)\/(-30) - (-6)\/(-15). Suppose -4*v - 2*q + 14 = d, -2*v = 11*q - 6*q + 5. Solve -2*n - v = -n + 3*j, -2*j = -2*n + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-c + c - c) + 8*c - 27*c + 14*c)*(0*c**2 - c**2 + 7*c**2).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-84)*15*(-50)\/(-120)*(-1 + -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 910 (c) -3 (d) 274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0, -2, -1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 379436047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 207101?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, 4\/3, 2, 7.16?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssyyppp. What is prob of picking 4 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/3 - 153\/(-170). Let t = 1986 + -1822. What is the second biggest value in -1\/9, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14242867729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*h - 2644*f*h**2 - 3710*h**2 wrt f.\nAnswer: -9*f**2*h - 2644*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137754271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.529716159 - -0.01.\nAnswer: 0.539716159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58771*q**2*z + 3*q*z + 221*q - 12*z wrt q.\nAnswer: -117542*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.2 - 9. Let p = 0.16 + 0.54. Let w = a - p. Sort w, -0.3, 2, 0 in ascending order.\nAnswer: w, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -207, 0.85 in descending order.\nAnswer: 0.85, 0.03, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6a7 (base 13) to base 4\nAnswer: 101333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -8*u - 5*u + 12 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(720) + sqrt(720)*-2 + sqrt(10)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: 110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, e: 2, l: 6}. Give prob of picking 1 k and 2 e.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1358 + 1370. Solve 0*s = -4*s - r - 1, 5*r = -3*s + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r - 4 + 4*r + 11*r - 3 - 9*r. Let c be q(1). Let l(i) = i**3 - 6*i**2 - 9*i + 10. Determine l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/(-38)*(-24)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 66*a + 6339 - 6339. Let q(i) = -3*i. Give s(q(f)).\nAnswer: -198*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -92. Suppose -6*c = -s*c + 1. Let x = 0 + 0. Solve x = 3*m - c + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625890531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413\/2756650 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 138.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-6)\/(-8)). Let b(w) = -7*w**2 + 4*w**2 + d*w**2. Let c(u) = 2*u. Determine b(c(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2389, 4902, 7415, 9928?\nAnswer: 12441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121575795689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(243) + 2)*-5 + 2*(sqrt(243) + sqrt(243) + -4 + 3))**2.\nAnswer: 12096*sqrt(3) + 63975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26060e (base 16) to base 7\nAnswer: 30116032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 6*c = -4*f + 13, -1679*c + 1675*c - 8 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 147, -3 in increasing order.\nAnswer: -3, 10, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1 - z + 3*z - 4*z + z. Let b(i) be the second derivative of -i**3\/6 + i**2\/2 + i + 66. What is 4*b(t) - 3*y(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 148122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -126. Let q = -58 + p. Is 24 a factor of (8\/5)\/(q\/(-60) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3 (b) -13 (c) 1011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2, 1.68, -4, -0.12, -0.3?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9718485 and 0.4?\nAnswer: 3887394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)*d)\/d**(2\/7))\/(d**(-2\/11))**23 assuming d is positive.\nAnswer: d**(-547\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3899, -12165, -24841, -41921, -63399?\n\"Answer: a**3 - 2211*a**2 - 1640*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 11*b**2 + 15. Give v(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508811959 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 9566?\nAnswer: -25\/9566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 5*g + 160, 4*g + 2*i = -47 - 13 - 50 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16158 (base 10) to base 13.\nAnswer: -747c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y**4 + 21*y**3 - 24*y**2 + y + 14. Let h(f) = 2*f**4 + f**3 + f - 1. Let r(s) = 22*h(s) - 2*m(s). Factor r(t).\nAnswer: 2*(t - 5)**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2522 or 27735\/11?\nAnswer: 2522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 58 = u, -21*u + 4*t = -20*u - 46. Solve 3*g + 4*y = 20, 0 = -3*g + 49*y - u*y + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22)*3\/(-6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 2*d + 2*d)*(-366*d - 345*d + 197*d).\nAnswer: 2056*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 + 0*s**3 + 2 - 62*s - s**4 - 14\/5*s**5. What is the third derivative of o(x) wrt x?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081879470 rounded to the nearest 100000?\nAnswer: -2081900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 4*f - 1125. Which is bigger: -141 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((9 - 17) + 19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*g - 126*g - 64 + 38*g + 29*g + 33*g in the form n + y*g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n + 32 = 2104. Calculate the remainder when n is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 7*h. Let n be x(-6). Suppose -2*d - l + n = -3*l, l + 161 = 5*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 13)*(36\/21)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9153*n**4 - 386*n**3 + 8*n**2 + 2040860 wrt n?\nAnswer: -219672*n - 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(1053) + (sqrt(143) + ((1*sqrt(143) - sqrt(143))*6 - sqrt(143)))\/sqrt(11))*5)**2.\nAnswer: -450*sqrt(13) + 26350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 57 - 5 = 0. Let k be ((-4)\/1)\/(b\/13). Let o = 23\/2 + -51\/4. What is the closest to -1 in k, -5\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114, -109, -104, -99?\n\"Answer: 5*c - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 546*d**3 - 4*d**2 - 275*d**3 - 12 - 273*d**3 - d**4 in the form b*d**4 + w*d**3 + q*d**2 + j*d + v and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1710 and -31\/304.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 9*f**2 - 11*f + 16. Let a be 11 + (-7)\/(7 - 0). Give i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 - 1708*j**4 + 13731*j**3 + 5126*j**2 - 37768*j - 27456 = 0. Calculate j.\nAnswer: -1716, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2\/9*a**3 + 10\/9*a**2 + 0*a + 0 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 12, 0 = 5*n + 3*z + z - 96. Let u = n - 19. Let d(w) = -w + 3. Let k be d(u). Solve 4*p + 18 = k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4685694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2439 + -992?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 55, 87, 119, 151, 183?\n\"Answer: 32*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 6. Let z be g(-7). Suppose -8*d - 378 = 10*d. Let a = d + z. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 2. Let c(o) = o + 1. Let s(n) = 2*c(n) - f(n). Let p(k) be the third derivative of -k**5\/15 - 2*k**2 + 2363*k. Determine s(p(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = w + 12, 4*w - 2764 = -15*i - 2750 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let h(i) = -3*i + 7. Let s(g) = 2*h(g) + 7*q(g). Let o(w) = -w + 1. Determine 2*o(y) - s(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(10296\/(-936))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.9 times -0.09\nAnswer: -0.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 5362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220212400 (base 5) in base 16?\nAnswer: -a36d4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004001 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -n + 6, 7*j - 16 = 12*j - 3*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.116 + -1.116. What is the second biggest value in 1\/4, -1\/623, g?\nAnswer: -1\/623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 129 - 60191*d + 385 - 82 - 94)*(-3 + 6 - 2).\nAnswer: -60191*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*f = -4, -u - 3*f + f = -7. Let l = 181396 - 3811205\/21. Let t = l + 90. Are u and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -23*i**3 - 9*i**2 + 61*i + 55. List the prime factors of k(-10).\nAnswer: 5, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555407268 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - d + 1. Let w be c(1). Suppose 2*m - 4*v - 76 = 0, 3*m = -w*v + 25 + 34. Suppose 0 = -137*j + 136*j + m. Is j greater than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 60*i + 682. Determine q(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/3 + 8*k**4 + 20*k**3 + 56*k**2\/3 + 6*k.\nAnswer: 2*k*(k + 1)**3*(k + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnfnfzfznin. What is prob of picking 1 m and 3 f?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651702 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -33, -19, 11, 63, 143?\n\"Answer: l**3 - l**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/7, -3, -9, -2\/7 in decreasing order.\nAnswer: -1\/7, -2\/13, -2\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*2*-2)\/(sqrt(324) - 1*sqrt(324) - sqrt(4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - -4) + -2 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let c be 4\/(-20) + (-2)\/(-5). What is the third biggest value in 2\/11, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.8731 - -133.829.\nAnswer: 124.9559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.7592 and 23.\nAnswer: -868.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16746, -0.4, -691, 0.5 in ascending order.\nAnswer: -691, -0.4, 0.5, 16746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-45)\/(-24))\/(99\/(-396)))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 1. Let v = -0.1 - k. Let x = -120190 + 600946\/5. Which is the closest to 2\/9? (a) x (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1231439 and 73\/61571950.\nAnswer: 61571950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/5, -0.047 in decreasing order.\nAnswer: 4, -0.047, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50244 (base 12) to base 10.\nAnswer: -104020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2242600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(12*k**4 + 0*k**4 + 3*k**4).\nAnswer: -75*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 7*h**2 - 15*h + 105. Let w be n(7). Let o(b) = -2 + 2*b**2 - 2*b**2 + 2*b + b**2. Determine o(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516648 and 14592.\nAnswer: 16532736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g)*(2 + 2*g**3 - 2) + ((0 + 4 - 2)*(3 + 2*g - 3) + 2*g - 2 + 2 + 2*g - 32 + 30 - g)*(53*g**3 + 46*g - 46*g)*(0 - 2 + 0).\nAnswer: -740*g**4 + 212*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -30 - 2. Suppose 43*p = 41*p + s. Solve 4*x + 3*a = -a - p, -2*x = -2*a + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -31623.\nAnswer: -31625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:20 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 121*y + 26*y + 6 - 5 - 7*y.\nAnswer: 144*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -288530201 rounded to the nearest one hundred thousand?\nAnswer: -288500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/242615 or 0?\nAnswer: 6\/242615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2*n + 17, -1526*k = -1525*k - 5*n + 36 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60 - 52 + 320*g**4 - g - 55 wrt g.\nAnswer: 3840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10095*j**2 - 4*j - 16. Let g(f) = -393700*f**2 + 155*f + 620. Let s(c) = 8*g(c) + 310*x(c). Let a(o) = -o**2. Determine s(a(w)).\nAnswer: -20150*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 31. Let n be (2\/(-5))\/(q\/(-10)). Factor y**5 - y**4 + y**3 + 0*y**3 + 0*y**5 + 5*y**2 - 4*y**3 - n*y.\nAnswer: y*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjwjxjxrlxjrcx. What is prob of picking 1 x, 1 c, and 1 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753 and 7617.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50515 + 151630 = 3*n - 2*p, -2*n + 4*p + 134742 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, u: 2}. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 243. Which is the biggest value? (a) 1 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/20 + 5*g**4\/8 - 7*g**3\/12 - 9*g**2\/4 + 152. Solve l(x) = 0 for x.\nAnswer: -1, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 115.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000307 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 2 + -12 + 10\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0304576884 and -1.\nAnswer: -1.0304576884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 0, -1\/41, 1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444 - 441. Let -2\/9*c**f + 0*c**2 + 0 + 0*c = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -159730961?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3850*m**2 - 2*m - 40596?\nAnswer: -7700*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w + 1\/12*w**4 + 0 - 5*w**2 + 0*w**3. Let c(l) = -7*l**2. What is c(p(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -2\/3, -11, 419?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i**2 + 39*i - 344. Calculate t(8).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45211, 90419, 135627?\n\"Answer: 45208*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -542, -4247, -14290, -33839, -66062, -114127, -181202, -270455?\n\"Answer: -528*t**3 - t**2 - 6*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 17324*c + 69566. What is r(-4)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/19, -4.02, -2\/17 in decreasing order.\nAnswer: 2, 2\/19, -2\/17, -4.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 2*q**3 + q + (1 - 2 + 0)*((4 - 1 + 3)*(-3 - 1 - 2) + 3 + 3 - 5)*(2*q**3 - 5*q**2 + 5*q**2) to z*q + j + a*q**3 + g*q**2 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:23 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 1. Let i be b(-2). Suppose -i*k + h = -75 + 24, 3*h = 3*k - 21. What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3418346, 6836687, 10255028, 13673369?\nAnswer: 17091710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476 is divided by 682.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/10 - g**5\/15 - 21*g**2. What is the third derivative of a(k) wrt k?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 + 2 - d + 2 - 1. Let n be (-2)\/10 - 3\/(-15). Let z(c) = n*c + 0 - 8 + c + 9*c. What is 8*q(x) + z(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 p when three letters picked without replacement from {i: 4, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 42 = -20*p, 0*v - 12 = 2*v - 5*p. Sort 4, 2, v, 5 in increasing order.\nAnswer: v, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 - 4*k - 1. Let a be g(4). Let f be -1 + 0 - (1 + a). Let l = 2 - 5. What is the second smallest value in f, -3\/8, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001101111000110110 (base 2) to base 7\nAnswer: -12252631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44796 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.504796 meters?\nAnswer: 5504796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by 82.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/4 + 5*f**2\/2 - 195*f\/4 + 90.\nAnswer: 5*(f - 3)**2*(f + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*t + 32 = 0, 4*i - 2*t - t = 4. Suppose i*g = 2*c - 330, -g = 4*c + c - 814. What are the prime factors of c?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7831? (a) -4 (b) -0.02 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m**2 - 544*m - 5635. Give j(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 70232*k**2 + 9*k + 11. Let p be r(-3). Suppose 2179985 = 4*f - 5*u, -2*f + 457922 = -2*u - p. What is f rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 7*t - 2*t**2)*(164*t - 94*t - 81*t + 2).\nAnswer: 22*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.31 at most -1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 + 33*p + 3380. What is h(24)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043753889 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1142116265 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.144661 months?\nAnswer: 0.017872175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/733261 and 27\/208?\nAnswer: 152518288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = x - 78, -5*x + 618 = -g + 237. Let o be x*(13\/4 - -2). Suppose 5*y - o = -54. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*h - 24, 4*p - 5*h + 13 = -23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 - (5 - (1 - 2)) - (877 - 867).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, i: 7}. What is prob of picking 1 o and 1 i?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 12. Let r(w) = 4*w - 23. Let k be r(u). Suppose -k*b - 25 = 0, 4*d = -2*b + 6*b + 332. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(28)\/sqrt(2)*5)\/((sqrt(7) - sqrt(7)*1*5 - sqrt(7))*2).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18595751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:29 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:14 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0807 times 4065?\nAnswer: -328.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-110)\/(-44))\/((-30940)\/30922 - -1). Let i = 4293 + o. Find the common denominator of i and -32\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 20 - 52. Suppose -m*n - 137 = -9*n. Calculate the remainder when n is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*l - 41, 2*f + 3*l = -f - 3. Factor 2*b**2 + b**4 - 4*b - b**3 - 5*b**f + 2*b**4 + 5*b.\nAnswer: -b*(b - 1)*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13750, -27504, -41204, -54814, -68298?\nAnswer: -81620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1197 and 2810934.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and 4655.\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -69718?\nAnswer: 2\/34859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 3. Let t(x) = -92*x - 9. What is -2*n(f) + t(f)?\nAnswer: -86*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, -3*b - 13 = -2*b + 3*c. Suppose -b*y + 0*y + 8 = 0. Suppose 7*i = y*i + 54. Solve -5*m + 4*q + 5 = -10, 0 = -2*m + 4*q + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7060?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.013461 + -31484.\nAnswer: -31522.013461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 + 327*u + 163. Calculate q(-29).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -30 + m + 20 + 21. Let x be y(-6). Suppose b - 34 - 1 = 5*l, -60 = -x*b + 2*l. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-54)\/(-12)) + (-10)\/24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 131. List the prime factors of k.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148510 divided by -5.\nAnswer: -29702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -143206560.4481?\nAnswer: -143206565.4481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24592, 49343, 74094, 98845, 123596, 148347?\n\"Answer: 24751*q - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(57\/37) - -1. Let b = o + 16\/57. Let k be (13 - 480\/36)*1*9. What is the nearest to b in -0.1, 2, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -65, -0.1, 827\/5, 23, -1\/4?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*l - 93*l - 9548 = 0. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - -1*sqrt(95)*-2) + sqrt(95) - (sqrt(95) + (sqrt(95)*2 - sqrt(95)))*-6)\/(sqrt(5)*3*1 - sqrt(320)*4).\nAnswer: -12*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g. Let o(h) = -h - 1193241. Determine k(o(n)).\nAnswer: 7*n + 8352687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1023633 + 0.07507.\nAnswer: 1023633.07507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 126939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*f + 6 = -459 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, -0.03, 12, 0.7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -4*z**3\/3 + 156*z**2 - 6084*z - 400. Determine q so that r(q) = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4131))\/(sqrt(300)*2 + sqrt(300) - sqrt(3))*-4)**2.\nAnswer: 352512\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64341552*b**3 + 161165835*b wrt b?\nAnswer: 386049312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3553*j + 440570. What is f(124)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114743 (base 8) in base 9?\nAnswer: 60032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = 4, -4*g = -5*n - 6 - 32. What is the remainder when (89 - 94)*(n - 1) is divided by (0 - -13)\/((-1)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3561, -3555, -3547, -3537, -3525?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3\/456905 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11089 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13799644 and 2536.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - 1*(2 + -10). Suppose 0 = w + 3*w - r. Solve 8 = -w*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + 5 - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-170)\/(-51)*30\/4. Let t = 45 - o. Do 19 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/13)*i)\/((i*i**(-6))\/i))**(4\/5) assuming i is positive.\nAnswer: i**(412\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-21*o - 8*o - 8*o)*(0 - 2*o + 0).\nAnswer: -74*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/30 - 5*r**4\/24 + r**3 + 2*r**2. Let q be z(4). Suppose -q + 526 = 4*x. Round x to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -658840 - -2?\nAnswer: -658839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -146314.1623 rounded to the nearest 10?\nAnswer: -146310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 580.1165ml?\nAnswer: 0.5801165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -324850 = -324842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 19*n = 17. What is the common denominator of n*239\/(-60) - 2\/(-8) and -1\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/3, -43, 6\/17, 9, 21 in ascending order.\nAnswer: -43, -1\/6, 6\/17, 2\/3, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3954220 + 27?\nAnswer: 3954247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r + 78 - 41 + 32*r - 37.\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let i be (-8)\/12*(-21)\/n. Suppose m = 84 - i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from sjsstssaj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -7\/226, 345, -2, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:17 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 162233774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:43 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 50*z - 34*z. Sort z, -3, -33, 0 in increasing order.\nAnswer: -33, z, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (77\/(-14))\/(2\/(-4)). What is the greatest common factor of r and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3*2\/6). Let j be -9*(0 + (-1)\/d). What is the third derivative of j*u**2 - 3*u**3 - u**3 + u**3 + 5*u**3 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2*-3 + (sqrt(5) - sqrt(20)\/(sqrt(36) + sqrt(4))) + -4 + sqrt(5) + sqrt(15)\/sqrt(3) + 2)**2*-3 + -4.\nAnswer: -2791\/16 - 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1 - 20*z + 74*z - 16*z - 19*z - 16*z. Let d be ((-1)\/3)\/(5*8\/(-120)). Let b(i) = -i. What is d*v(l) + 2*b(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.59 - 0.5.\nAnswer: -4.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.099 - -53.899. Let f = -2.01 + j. Let p = -51 + f. Round p to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2776 and 260.\nAnswer: 180440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-72)*-6 - 964\/(-6)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6741.6412 days?\nAnswer: 963.0916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 16) to base 5.\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 1 (b) 17 (c) -2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1085.4 + -1103. Let u = 16.1 - -2.9. Let j = b + u. What is j rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 5, 0, -0.1, 2\/2377, -3\/4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630696?\nAnswer: 2, 328837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/3))**(-33)\/(k\/(k**1*k))**(5\/3) assuming k is positive.\nAnswer: k**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4329*h = 4076*h + 9614 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q**(-2\/5)*q)\/q))**(-1\/15))**(1\/4) assuming q is positive.\nAnswer: q**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789998 is divided by 16877?\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/490, 2, 1\/272, 19?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*i + 40*i - 677 - 1351 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3\/8 + 14475*c**2\/8 - 36225*c\/4 = 0 for c.\nAnswer: -4830, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 1534957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 23*y**2 + 8*y + 410. Determine z(22).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/5267 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/225 and 109\/3600?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 11*z - 1044. Let g = z - 65. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*h**2 - 29 + 29)*(2*h + 5*h - 5*h).\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:06 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10701.999993031 - -10702. Round n to 7 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 - 3 + 131*t + 20.\nAnswer: 131*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32436688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3954453\/13 + 304043. Let a be 1\/(-2) + (-582)\/4. Let t = f - a. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1 - 3107*l + 3102*l - 4 + 0 - 7*l**2 - l**3 - 3. Give x(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149135 is divided by 6473?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-2 - 2) - 30\/(-14). Factor -2\/7*o**2 - w*o - 8\/7.\nAnswer: -2*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/4)\/z)\/(z\/z**(-5\/4)))\/(((z\/((((((z*z**1*z)\/z)\/z)\/z)\/z)\/z*z*z))\/z)\/z*z**5))**(-3\/11) assuming z is positive.\nAnswer: z**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -66, 5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3832 * 4.\nAnswer: -5.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -15. Let c = 22 - v. Let y(q) = 10*q - 6. Let a be y(c). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 12.022.\nAnswer: 4.56836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a + 1. Let m(o) = o**3 + 10*o**2 + 6*o - 12. Let r be m(-9). Let h = -13 + r. Give z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:46 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12107?\nAnswer: 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.08 + -28.48. Which is smaller: 3\/31 or h?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 7*z - 2. Let x be h(3). What is the biggest value in x, 0.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tohuhxet. What is prob of picking 1 o and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:32 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w - w**2 - 2*w**4 + 4 - 11*w + 24*w to the form u*w**4 + f*w + v*w**2 + b + m*w**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1059*n - 1191*n + 510*n - 624 + 5*n**2 + 2442 + 3357.\nAnswer: 5*(n - 345)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -3*w + 4, i + 2*w = 7. Let y = i + 7. Let s = 24 + -2. Calculate the remainder when s is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 6*g**2 - 12*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*a**2 - 200322*a + 200322*a + (-3*a + a + 4*a)*(-6*a + 3*a + 2*a))*(7*a**3 + 20*a**3 - 5*a**3).\nAnswer: -2332*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 168. Let i be (-1696)\/f - (-2)\/(-15). What is the second biggest value in i, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 1\/4 (c) 0 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10)*-2 - sqrt(10)))**2 + sqrt(13) + (-1*sqrt(637))**2.\nAnswer: sqrt(13) + 5746\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*i - 1 - 3*i**2 - 133 + 21 - 34.\nAnswer: -3*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-50) - (-2)\/(3 - 1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/96*((-4)\/6)\/(-1). Let d = -5 - -5. Let c = d - 0.1. What is the closest to c in 3, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.29 + 0.01. Which is the third smallest value? (a) s (b) 2\/13 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from nnun.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1740 - 1740.04. Which is the nearest to 2? (a) -2 (b) 4 (c) z (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 3*z - 3. Suppose 2*o + 7*o - 567 = 0. Let m be (-44)\/21 + 6\/o. Let d be ((-3)\/m - 0)*(-24)\/(-9). Determine l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9534)\/(-21) + 78\/(-6). What is the greatest common factor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -1. Let r = 1 - h. Let m = 37 + r. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:27 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -49*k**5\/12 - 245*k**4 - 830*k**3\/3 - 1285*k**2. Factor g(f).\nAnswer: -5*(7*f + 2)*(7*f + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.261 - 0.061. Let r = 0.8 + x. Let q = -0.01 + -0.39. Which is the smallest value? (a) q (b) r (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -497197, -497191, -497181, -497167, -497149, -497127?\n\"Answer: 2*m**2 - 497199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -10. Let q = 5 - i. Which is the smallest value? (a) q (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**4\/4 - 19*h**3\/4 - 17*h**2\/4 - 5*h\/4.\nAnswer: -h*(h + 1)**2*(7*h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i - 4*i**4 - 7*i - i**3 - 2 + i**2 + 13*i - 2*i**2 to x + k*i + b*i**3 + u*i**4 + c*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1323\/666 + -2). What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 - 11 - 16*w**2 + 15*w**4 + 4 wrt w.\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 8*a**2 + 29*a + 53. Give h(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -407230 or -1185?\nAnswer: -1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*a - 548004 - 116152 - 158692 = 0. List the prime factors of a.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 18*i + 35*i = 0. Solve i = -a + p + 2, 5*p = -4*a + p + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7*a + 40. Let b be (-107 - 1)\/(6\/4). Let f = b - -67. Put 0, a, f in descending order.\nAnswer: 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(2202\/(-4404)*(-4)\/((-2)\/1))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2. Let w be (-51)\/(-15) + -3 - (-228)\/(-720). Let b(s) be the second derivative of 0*s**3 + 0 + 0*s**2 + 12*s - w*s**4. Calculate p(b(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0.29 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722643233.\nAnswer: 13, 23, 2416867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2032)\/176 - (-27)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.4 to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 - 2*r**2 - r + 1. Let t be z(-1). Let g be (-6 + t + -7)*(-1 - 0). Solve 2*n = -g + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 + 0*x**2 - x**2)*(-2 + 2 - 2 + (-1 + 1 - 1)*(56 + 79 + 11)) in the form p*x**2 + a + c*x and give p.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 13*b = 1280. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7503, 15042, 22569, 30084, 37587?\nAnswer: 45078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-241 - (-384 - -163)) + (2 - 4) + 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2. Let i(x) = 41063721*x**2. Give i(o(b)).\nAnswer: 164254884*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*r + 25, 4*k - 5*r - 4 - 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105452176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172532 (base 10) to base 4.\nAnswer: -222013310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 139?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**3 + 4*z**2 - 5*z + 5. Suppose -2*h + 7 = 5*l - 11, 0 = 3*l. Let b(f) = 11*f**3 - 9*f**2 + 11*f - 11. Determine h*t(v) + 4*b(v).\nAnswer: -v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*f + 170*f - 48 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/4 - p**3\/3 + p**2 + 168. Suppose 2*k + 0*k - 4 = 0. What is s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -57?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 + 947\/8. Suppose -7239 = 844*i - 2175. Which is the nearest to k? (a) 0.3 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11083*i**2 + 5535*i**2 + 5524*i**2 + 2*i)*(1 + i + 3*i - 2*i) to the form y*i**2 + n*i**3 + m*i + q and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400 - 401 = -242*y + 377 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 186.4 - 157. Let q = -29 + u. Which is the fourth smallest value? (a) q (b) 3 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 11098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5033 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -12 - (-31 + 50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-21) + 4\/7. Suppose -h*v = -v. Suppose 4*y = 4*k + 64, v*y + 24 = 3*y + 3*k. Which is smaller: 11 or y?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2\/2 - 175*y - 9555\/2 = 0. What is y?\nAnswer: -21, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, 1, -1, -11, 2 in decreasing order.\nAnswer: 32, 2, 1, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -2)**2 + 6*sqrt(8) - (sqrt(10)\/sqrt(5)*1 + 2*sqrt(18))**2.\nAnswer: -36*sqrt(2) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = -20. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 22 = -5*o, 7*o + 3*b - 6 = 4*o. Suppose 0 = 38*i - 37*i - 3. Solve -o*a + i*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = 4*x, 5*x + 8 - 25 = 2*g. Suppose -x*z = -18 - 2. Solve l + z = n - 4, -5*n + 12 = 2*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f)**(11\/6)*f*f\/(f*f**(-3))*f*f*f*f*f*f**1 assuming f is positive.\nAnswer: f**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9314*r. Let x(k) = 7*k**2. Calculate j(x(f)).\nAnswer: -65198*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 343188 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1331*n**5\/7 - 1548558*n**4\/7 - 449996712*n**3\/7 + 245759984*n**2\/7 - 44702256*n\/7 + 2709792\/7 = 0.\nAnswer: -582, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 666, 730, 770, 780, 754, 686?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -637 - -406. Let c = -232 - f. Put -1\/3, c, 0 in increasing order.\nAnswer: c, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4616 is divided by 4517?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttpnatppttttpnwnpt. What is prob of sequence nt?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2 - -5\/6. Which is the closest to 0.1? (a) -38 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, e: 2}. What is prob of picking 2 b and 1 e?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of (76*6\/(-15))\/((-2)\/910*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (-3 + 6 - 5). Let l(k) = -k - 6. Let c be l(x). Suppose 5*u - 45 = -n - c*u, 0 = 3*n + 2*u - 109. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kccfdckhfkfhccffcfc. What is prob of picking 2 f, 1 h, and 1 k?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i + 77*i - 3832*i**3.\nAnswer: -3832*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 9. Let d(r) = r**2 + 8*r + 18. Let z(l) = l**3 + 7*l**2 + 7*l. Let u be z(-6). Let b be d(u). Calculate j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**3 + 9*y**2 - 5*y + 3. Let x be j(1). Factor 0*h + 1\/4*h**4 + 1\/4 - 1\/2*h**2 + x*h**3.\nAnswer: (h - 1)**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 15*g**2 + 10*g - 2. Let h be c(16). Suppose 4*o + 55 = 255. Suppose -o = 4*a - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 138. Let q be g(-31). Let f = q + 155. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:25 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20699 divided by -3542?\nAnswer: 2957\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 2, -0.2, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxdxxxdxaldhddxax. What is prob of picking 1 l and 1 d?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.2811 + 14?\nAnswer: 279.2811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.083 - 36.917. Which is smaller: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 581*v + 88 + 3*v**2 + 150 - 545*v - 5*v**2 as j*v**2 + h*v + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1872) + 1 + 3*sqrt(1872) + -4 + 0.\nAnswer: -1 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -177722 and 14.\nAnswer: -177708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 - 5*m - 3. Let k(t) = 11*t + 16. Let a be k(-1). Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 - 5*a + 2. What is u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/12 + (-2)\/3. Solve 0*u + 5*o = -u - 4, -v*o = 2*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209913297 by -4115947.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 3*v + 1366. Let n(l) = l**2 - 2*l - 1363. Let p(a) = -2*i(a) - 3*n(a). Let k(y) = -2*y**2. Give p(k(d)).\nAnswer: -4*d**4 + 1357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3908 and 32926854.\nAnswer: 65853708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 33 - 330*b + 9 + 321*b. Give c(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 7*u - 3. Suppose 8*f + 55 = -313. Let i be f\/16 + (-1)\/8. Let b(x) = 6*x - 2. Determine i*b(c) + 2*g(c).\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {j: 1, u: 1, g: 1, y: 1, p: 2, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rooo when four letters picked without replacement from rooro.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1349, -1554, -1757, -1958?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8073 and 106950?\nAnswer: 12513150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259594 is divided by 1014?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110111100010 + -111?\nAnswer: 100001110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 + u + 54. Determine r(6).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 39*q**3 - 6*q**2 + 5*q - 2. Let h be o(3). Let r = h - 490. Let j = r + -289. List the prime factors of j.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 13*i**2 - 13*i - 12. Suppose 5*b + 34 + 27 = -2*p, 3*b + 33 = -3*p. What are the prime factors of d(b)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242336, 242339, 242344, 242351, 242360, 242371?\nAnswer: 242384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**2 - 87*f + 12. Calculate the remainder when 17 is divided by r(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -23.\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-342*w - 382*w + 951*w)*(-75 + 109 - 78)*(-3 + 3 - 1).\nAnswer: 9988*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5200 = 4*a + 2*n + 2*n, 3*a - 2*n - 3900 = 0. Suppose 3*x = -c + 252, 5*c - x - a = 4*x. Suppose 4*l - c - 210 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631682, -631669, -631644, -631601, -631534?\nAnswer: -631437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(405) + 4 - (sqrt(405) - (-1 + sqrt(405)))*-6) + sqrt(405) + sqrt(405)*-1*4 + -5)**2.\nAnswer: -360*sqrt(5) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*b*q**5 - 2*b*q**3 + 26*b - 5*q**5 + 7*q**2 - 4*q - 2 wrt q?\nAnswer: 8580*b*q**2 - 12*b - 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94662429937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6370534 at most as big as -6370535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 31*h**2 - 29*h - 37. Let r be n(30). Let z(q) = 2*q**2 + 3*q - 17. Is z(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*f + 28 + 142 = -46 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -979 - -453. Let y = z - -528. Factor 2\/3*g**y + 8\/3 + 10\/3*g.\nAnswer: 2*(g + 1)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + (-40)\/56. Let t be d\/((-3)\/(-6))*-2. What is the second derivative of 6*i**5 - 5*i + 23*i**t - 23*i**4 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56, 222, 500, 890, 1392, 2006?\n\"Answer: 56*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 779992 = -2*s, 3*s = -0*s - 12. Round w to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, 9, 42, 89, 150?\n\"Answer: 7*z**2 - 2*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -798294 (base 13) in base 16?\nAnswer: -2bdb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by -40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:08 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x**2 + x**2 + 2*x**2. Let w(f) = -35*f. Calculate u(w(b)).\nAnswer: -1225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.3 - 1.3. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 101*g**3 + 9*g**2 - 2213*g + 2203. Calculate h(1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2890*d**5 - 2*d**4 - 2*d**2 - 77?\nAnswer: 173400*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 + 7*y**2\/2 - 4*y + 591. Give u(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/4953676 and -117\/28?\nAnswer: 4953676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 11:56 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97891\/3423 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/8 + 2*g**3\/3 - 9*g**2. Let c(p) = 15*p - 21. Let x = -2 - 19. Determine x*m(h) - 4*c(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k. Let o(w) = -w. Let f(r) = -3*g(r) - 7*o(r). Let m(b) = -11*b. Determine f(m(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 16*g**2 - 19*g - 8. Let m be (-4)\/((-5)\/(-15)*-1*6 + 3). Give c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Differentiate -i**2 + 5*i**2 - 1 - b with respect to i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189706373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -8.6 (c) -6643 (d) 2\/9 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35276101, -35276091, -35276081, -35276071?\n\"Answer: 10*m - 35276111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -29*u**2 + 4*u + 3. Let r(n) = -1. What is 3*r(s) + y(s)?\nAnswer: -29*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 17*r + 51. Let b(j) = 2*j + 35. Let f be b(r). Calculate the highest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -54*o - 18. Suppose -33*m - 24 = -31*m. Let c be b(m). What is c rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 c when four letters picked without replacement from {y: 1, d: 9, c: 2, a: 8}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297876?\nAnswer: 2, 3, 103, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i. Let o be s(-1). Suppose 4*y - 37 = -z, -2*z - 40 = -5*y + o*z. Is 7 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.03, -2731066 in ascending order.\nAnswer: -2731066, -0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38715587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -984*f**2 + 2917*f**2 - 274*f**2 as v*f**2 + x*f + i and give v.\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 133*b**2 - 24*b + 11. Let i(x) = 7*x**2 - 2*x + 1. Calculate 15*i(c) - m(c).\nAnswer: -28*c**2 - 6*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192795900 a multiple of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103312 (base 4) to base 6.\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834620 is divided by 146503.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/45)\/((-6)\/(-255)). Let h = 78 + t. Solve -p - 34 = -5*x - 6, -5*p = x + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 2*q**2 - 3*q - 3. Let v be j(-1). Let u(y) = y**2 - y + 5. What is u(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -14*u - 6 - 13 - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2048008 + -147607559.\nAnswer: -145559551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/40 and -109\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14))**9*((o\/(o\/(o\/(o\/((o*o**8\/o)\/o))*o))*o)\/o)**(-36) assuming o is positive.\nAnswer: o**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 6 - 10) + (-14 - -14) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 2*g - 9009 = 0. Calculate the highest common divisor of 264 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-75)*6*(-125)\/(-1600)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2909 = -295*b - 1516 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p + 20, -2*p = 4*t + 2. Suppose 3*z - 135 - 106 = -4*b, -168 = -3*b + t*z. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**15)**42)**(-1\/42))**(2\/21))**(6\/19) assuming s is positive.\nAnswer: s**(-60\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d**(2\/11)*d)**(-10\/11)*((d\/d**2)\/d*d*d*d*(((d*d**0)\/d)\/d)\/d)\/(d*d*d\/(d*(d**(-4)*d)\/d)*d**3*d) assuming d is positive.\nAnswer: d**(-1505\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-3 + 0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75517?\nAnswer: 13, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/6 - p. Let u(q) be the first derivative of 0*q - 1 - 2\/3*q**3 + 0*q**2. What is s(u(t))?\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694 = 81*z - 197 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 12*x + 240 = 0. Suppose -6*y + y = -x. What is the smallest common multiple of y and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39989929.\nAnswer: 7, 816121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850 = -0*r + 2*r. Suppose 214 = -3*x + r. What are the prime factors of x?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-657)\/72)\/(4\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t - 4392 + 1152 = 292*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*h + 244*h + 80344 = -12*h - 88*h for h.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5030407 millennia?\nAnswer: 50.30407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -98, -135, -206, -323, -498, -743?\n\"Answer: -2*n**3 + n**2 - 4*n - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135805 is divided by 45265.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 0*s**2 + 0*s**2)*(0*s - 2*s + 6*s) + (2 - 1 - 3)*(35*s**3 + 53*s**3 - 62*s**3) as q*s**2 + v + x*s**3 + i*s and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19233 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 62*(-8)\/(-31)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2274a + 0?\nAnswer: -2274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.87*3025.\nAnswer: -5656.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2012 - -2011.8987. Round j to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -4\/9 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + -1 + sqrt(5))*-2 - (sqrt(125) - 6*sqrt(125)*-2)**2 - ((0 + sqrt(500))*1 - 6*(2 + sqrt(500)))**2.\nAnswer: -33763 - 1204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let f(y) = 14*y - 45*y - 27*y**2 + 18*y + 13*y - 1. What is a(f(w))?\nAnswer: 1458*w**4 + 108*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -59 (b) 22 (c) 0.3 (d) 1\/3 (e) 1 (f) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 416440?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15920*r - 15936*r + 183419 = -45157. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499 + 999 - 500 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*a = 29, 0 = r - 3*a - a - 17. Suppose r*o = 13 + 7. Let y be o\/26 + 735\/39. What is the highest common divisor of 171 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506001 and 1835231?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26116353, 26116352, 26116351?\n\"Answer: -j + 26116354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265 + 49220?\nAnswer: 49220.00265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 3. Let u be k(4). Let m = -2 + u. What is the common denominator of -17\/22 and 74\/24 - m\/2?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 59 = 4*d. Suppose -53*x = -d*x - 90. Suppose x = -7*m + 10*m. What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 71, 0.1.\nAnswer: -1, 0.1, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxxxpxxppxpxppx. What is prob of sequence xpp?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 15*y + o = -97, -o - 103 - 114 = 4*y - 18 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -5. Let i = g + 1.9. Sort -4\/3, 1\/3, i in increasing order.\nAnswer: -4\/3, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x = 87*x. Solve x = 3*j - 210 + 216 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 94\/50)\/(36 - 7308\/210)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556 and 125378.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxqm when four letters picked without replacement from qqxvxsvvvmxsqmv.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16585 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from onnonoonnt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f - 62. Let g be o(5). Suppose -r = 10 - g. What is the highest common factor of r and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s, -4*j - 142*s + 1434 = -147*s. List the prime factors of j.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118645381429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (34\/51 + -1)\/((-1)\/(18\/(-49)))\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 - -111. Let f(u) = -u**3 + 22*u**2 - 21*u + 4. Let i be f(21). What is the common denominator of 123\/10 and i\/(-22) + o\/(-264)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:05 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971475 + 15*t + 971475.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = n - 5*n + 759, 5*t = -5*n + 760. List the prime factors of t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1299, -8, 21, -1, 4 in increasing order.\nAnswer: -8, -3, -1, 4, 21, 1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141766?\nAnswer: 2, 73, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3210.692 to the nearest integer.\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + p**3 + 7*p**3 + 108*p.\nAnswer: 17*p**3 + 108*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249.89452501 + 60.10547648. Let q = x + -310. Round q to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 4*o**5 - 4*o**5 - 3*o**5 - 9*o**5 + 3*o**5 + (3*o - 3*o + o**3)*(6*o**2 + 4*o**2 - 5*o**2).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -15 + 3. Let h be ((-148)\/(-6))\/(p*(-5)\/(-10)). Let u = h - -24. What is the second smallest value in -0.4, u, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/15*(-5)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = v, -4*a - 3*v = -39. Let q be (8892\/608)\/(1\/24). Suppose -q = -a*t + 3849. Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -489*i - 144*i + 15767 - 575 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from dxkkokxkddx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24794 and 418724614.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -227?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2))\/o)**18\/(((o\/(o*o**(-2\/35)))\/o*o)\/(o*o*o*o*o**4)) assuming o is positive.\nAnswer: o**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*s + (-2 + 1 + 3)*(1 - s - 8 - 5) - 3*s + s + 3*s - s + 0*s - s + (-3 + 2 - 1)*(1 - 1 - s) + 2*s + 2*s - 2*s as z + c*s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67697.63 centuries?\nAnswer: 6769.763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b983 (base 15) to base 5.\nAnswer: -2224043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 483799960 divided by -4?\nAnswer: -120949990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 + 107 - 140)*(-5 + 5 + 2*r).\nAnswer: -364*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:39 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*375\/50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0741 rounded to two dps?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -2*p, 1 = p - 2. Suppose -t*z + 52 = 3*m - 2*z, 2*m - 5*z = 41. Let g = 859.6 + -860. Which is the third smallest value? (a) 3 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5168889 rounded to 3 dps?\nAnswer: -8.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 516*s**5 + s**4 - 42*s - 26 wrt s.\nAnswer: 10320*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 + 3*f - 2. Let u(l) = 7*l**3 + 4*l - 3. What is 4*h(x) - 3*u(x)?\nAnswer: 3*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14316528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + -12 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 524 + -1106. Is 15 a factor of (-3)\/15 - y\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/668460901 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 124. Which is the nearest to t? (a) 1\/4 (b) -42 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 6 - 7*y**3 + 13 - 11*y**2 + 10*y**3 - 13*y. Calculate f(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1107 divide 446382272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 28. Suppose -5*m + g - 6 = 0. Let c = -26 + 38. Solve 4*k - m*j - 6 = -4*j, 4*j - c = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 2*o**4 + 2*o**4)*(1 - 4 + 11*o + 1).\nAnswer: -11*o**5 + 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {i: 9, m: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 18. Let w(h) = -32 - 12*h**2 + 42 - h**3 - f + 12*h. Give w(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 97 + -676 + 619?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 42. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) 2\/93 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -37. Suppose c = -7*v + 10*v - 123. Suppose -5*f - i + v = 0, 0 = -4*f - 2*i + 17 + 17. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9678936667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -4*s - 3*q, -2 = s + q + 22. Let j be ((-84)\/9)\/(7\/s). Let p(f) = -2*f**2 - j*f - 1 - 6*f**3 + f**2 + 30*f. Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 697 and 9758.\nAnswer: 9758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 13 = -4*b - 5, 13 = 3*b + 4*z. Let -3*l + b*l**4 + 1 - l**3 - 5 - 9*l**2 + 5 + 1 = 0. Calculate l.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.692 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 166163547 and -16406.\nAnswer: 166147141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750) + 1*sqrt(750) + sqrt(750))\/(sqrt(6) - (sqrt(90)\/sqrt(5))\/sqrt(3) - sqrt(6)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0396 and -8370?\nAnswer: 331.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - 26\/(-90). Let z = 1601 - 1601.1. Which is the closest to z? (a) 1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1242)\/(-4))\/(-3) + 164\/((-60024)\/(-549))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/31, -0.06, -5, 6, -9 in ascending order.\nAnswer: -9, -5, -2\/31, -0.06, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, -5 in increasing order.\nAnswer: -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -224. Suppose -k*d + 648 = -150*d. Suppose 2*v = -0*v + 5*i + 48, -2*i = 0. Calculate the highest common divisor of d and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3226 + 47. Let o = 13155\/4 - g. Calculate the common denominator of 31\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 327*o = 143*o - 1840 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1418490972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and 20\/13779 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01852*-2.\nAnswer: -0.03704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:57 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -25*y + 209. Let s be f(-18). Suppose -6*m + s + 559 = 0. Calculate the remainder when m is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -16230?\nAnswer: 16230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 2*g**3 + 10*g + 3*g**2 + 49 - 5*g**2 - 46. Is w(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/20 + 3*v**2\/2 - 4*v - 1. Let x(o) be the first derivative of n(o). Find the first derivative of x(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 803.1 + -804.1. What is the nearest to m in 0, -4, 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -404.\nAnswer: 80.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/6*k**3 - 1\/2*k**2 + 1\/3*k.\nAnswer: k*(k - 2)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + 26*y - 2. Let s be o(-3). Sort 5, s, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*7.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-3168)\/77)\/(-6))\/((-3)\/(-28)). What is the closest to 2\/3 in 0.2, p, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f - 24*f + 2*f**2 + 0*f**3 + 36 + 5*f**2 - 12*f - f**3. Let r be t(3). Factor -5\/3*h**2 - 4\/3 - 1\/3*h**r - 8\/3*h.\nAnswer: -(h + 1)*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 33874794*u**2\/7 - 143437827129510*u\/7 + 143437590006050.\nAnswer: -2*(u - 8468695)**2*(u - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 208, -1\/6.\nAnswer: -0.19, -1\/6, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 162439 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28021754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let h(z) = 21400*z**2 - 37172*z**2 + 20183*z**2. What is h(j(g))?\nAnswer: 17644*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/4 - v**3 + 2*v**2 - 54. Let y(n) = -2*n**3 - 5*n**2 + 7*n. Give -5*k(p) + 3*y(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -39) + (910 - 984)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143799.8867576 - 143800. Let o = -0.00324222 - t. Let j = o + -0.11. What is j rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let f be y(2). Suppose 0*x + 20 = f*x. Calculate the smallest common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -33*o + 62*o - 28*o. Let x(q) = 8*q. Determine 21*h(b) - 3*x(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172.510287 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 7*w - 36 = 3*q, q + 22 = 7423*w - 7418*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2 - (2 - 1). Let j(g) = -7*g - 5. Let r be j(y). Suppose -5*f = -10*f + r. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 20220?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420006 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2 (c) -158 (d) 101892\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 70 + 70 + 5*t - 212.\nAnswer: 5*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n - n + 5*n)*(0 - 1 - 1) + (2 - 477*n - 28*n - 2033*n)*(-5 - 1 + 4) to the form t*n + z and give t.\nAnswer: 5078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a factor of 27596100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -3*j + 5406. Suppose 19*u = 23*u - k - 3730, -3*k + 3706 = 4*u. Let t = j + u. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let u(n) = -n**2 - 5*n - 1. Suppose 715 = 19*z - 83. Let s be (-69)\/18 - 7\/z. Calculate u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37913 rounded to the nearest one hundred?\nAnswer: 37900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -855\/58, 0.1, 2\/3, 2\/7?\nAnswer: -855\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f*u**2 - 637*f*u + 377935842*f + 2077*u**2 + 2*u wrt u.\nAnswer: 24*f*u - 637*f + 4154*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 7, -9, -793 in increasing order.\nAnswer: -793, -26, -9, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*r - 1344 + 1416, 5*r + 76 = 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w + 2238 = -36*w. Let o = w + -390. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d - 11. Let n be 1 + 1\/2*-6. Let q(s) = -94*s + 55. Let p(g) = n*q(g) - 11*r(g). Let w(f) = -4*f + 2. Give 2*p(z) - 11*w(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37013.81 millennia in decades?\nAnswer: 3701381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3783235*x**3 - 7566498*x**2 - 3783291*x - 28 = 0.\nAnswer: -1, -28\/3783235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 12*g + 13*g + g + 2*g - 5*g - g + 5*g + 0*g + (2*g - 4*g + 0*g)*(3 - 4 + 2) - 2 + 2 + g + g - g + g to a + u*g and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28297 is divided by 9431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26*(5\/2)\/5. What is the greatest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4170, 0, -5 in decreasing order.\nAnswer: 4170, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5819516 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*u = 0, 60*u - 63*u = 2*l - 4. Let n(b) be the third derivative of -b**5\/60 - b**4\/8 - b**3\/6 + 13*b**2. Determine n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(210)*-1)\/sqrt(10))\/(-1*sqrt(27)*4).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4392 + 4394. Let a = -151\/240 + -3\/80. What is the third biggest value in n, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -92*n - 15. List the prime factors of g(-8).\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 1000100110?\nAnswer: -1000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*w - 72. Let x(p) = -p**3 + 47*p**2 + 7. What is the remainder when w is divided by x(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2315 - -2024. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2, -3\/2, 2\/5, -29617, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 5*i - 143, 0 = 5*j + i + 112 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1026\/(-33) - 125\/(-1375)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 94153, 187510, 280867, 374224, 467581?\n\"Answer: 93357*q + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:03 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3249328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 12*g - 0. What is the second smallest value in 3, g, -2, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 + a**5 - 4*a**5 + a**4 + (-59*a**3 + 68*a**3 + 58*a**3)*(-a + a + a**2).\nAnswer: 60*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - 1 - (37 + -28 - 58))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/148 and (2 + 415\/(-35))\/(8\/(-7)).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -594*a**3 + 2*a**2 - 456*a + 10. Let k(o) = o**2 + 5. Let t(g) = 6*k(g) - 3*y(g). Find the second derivative of t(m) wrt m.\nAnswer: 10692*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(60\/(-80)*-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-53 + 45) - -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*f + 2*f + 5*f + 4*f as g + u*f and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + -151. Solve 3*w - 9 = -k + c, 2*k - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**22)**(-4\/15)\/(s**(-10\/9)\/s*(s*s**(-21)*s*s)\/s) assuming s is positive.\nAnswer: s**(686\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-87)\/12 - 7\/(-1)). What is the highest common factor of 104 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 - 204*p**2 - 4*p + 204 = 0 for p.\nAnswer: -1, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68a468 (base 13) to base 2.\nAnswer: -1001011101001110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -255.881851 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + 356. Let p = u - -332. Suppose i + z - p = -4*z, 0 = -2*z - 10. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-10))\/((-3)\/(-20)). Let d be 196\/f - (-3)\/(-12). Suppose 0*b + 4*b = 2*z - 24, z + b = d. Solve -5*y + y + z = -2*s, -5 = -5*s + 3*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001979 to 5 dps.\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*t**3 + 9*t**4 + 31*t**3 + (t - 2*t**3 - t)*(0*t + t + t))*(2*t - 1 + 1).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.5527 and 1.\nAnswer: 24.5527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (-2)\/3)\/(2\/423) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from vnrvnnunvu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54*(-27)\/(-972)*4\/(-42). Put 44, 0, d in descending order.\nAnswer: 44, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -15. Suppose -10*k = -8*k + i. Is k at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 + j**4 - 12*j**3 - 4*j**2.\nAnswer: j**2*(j - 2)*(j + 2)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**14*s**(-6))\/(s\/s**(-5\/2)*s*s**(-3)*s))**(3\/8) assuming s is positive.\nAnswer: s**(-123\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-147)*3)\/((-30)\/(-42))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*s**2 + 106*s**2 - s**3 + 3*s - 305*s**2.\nAnswer: -s**3 - 357*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 758286915 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5836 in -801, 5, -3?\nAnswer: -801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1580 and -39\/158?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -106 + 18. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134329584 and 1394796.\nAnswer: 1746284592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(13\/1))\/(-25)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 726 - -1296. What are the prime factors of x?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -1.42. Let g = 1 - m. Let c = -0.53729 + 2.53729. What is the second biggest value in g, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20234212 (base 5) to base 6.\nAnswer: 3311324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 531035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 2*k - 5. Suppose 0 = -16*s + 686 - 638. Let w(t) = -t**2 + 3*t + 6. Calculate s*v(y) + 2*w(y).\nAnswer: 4*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = x - f + 68, -24 = -x - 5*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (5 + sqrt(76)\/sqrt(4))) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1435984 and 66?\nAnswer: 4307952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 5*t**2 - 4*t - 2 - 2*t**2. Is d(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 299*j**2 + 65*j - 2. Let f(u) = 120*u**2 + 26*u - 1. Determine -12*f(o) + 5*m(o).\nAnswer: 55*o**2 + 13*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.9 * -12279.\nAnswer: -121562.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93.3 - -92.3. What is the third biggest value in s, 4\/17, 0.5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*g, -5*n - 4*g - 8 = -3*g. Let t be (1 + 5 - 2) + n. Find the first derivative of 4 - 5 + 0*w**2 + 3 + w**t wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1310101 - 436697 - 436691 - 436713 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**3 - 3*s**2 + 5*s - 3. Let h(w) = -7*w**3 + 4*w**2 - 6*w + 4. Let n(i) = 3*h(i) + 4*p(i). Find the second derivative of n(b) wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*v + 37, 96*d - 102*d - 17*v - 227 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*t + 42*t + 71*t + 5334 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000448704 rounded to 7 decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-2 + -1.\nAnswer: -16*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188 + 196.583. Let x = o - 0.583. Sort 1, x, -7 in decreasing order.\nAnswer: x, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p**2. Let c(k) be the third derivative of -k**5\/20 + 23*k**2. What is c(n(m))?\nAnswer: -588*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uml when three letters picked without replacement from mmvmvntuuul.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c + 10*c - 1264 = -73*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmmmbmmmmmbm. Give prob of sequence bmbb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n**2. Let t(l) = 17*l - 32. Let y(x) = -3*x + 8. Let f(o) = t(o) + 4*y(o). Determine z(f(q)).\nAnswer: 700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203811 to the power of 1\/2, to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, -118, -29 in descending order.\nAnswer: 5, 1\/2, -29, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 45*k + 219. Let r be t(-6). What is the tens digit of (r\/(-2))\/(-2 + (-201)\/(-96))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -28889*c**4\/12 + c**3\/6 - c**2 - 16*c. Let g(k) = -2*k - 2. Let w be g(-4). Let r be x(w). Round r to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 50. Let s be y(13). Suppose 112 + 6 = s*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*p**3*y + 9353*p**3 + 2*p**2*t**2 - 790*t**2*y wrt y?\nAnswer: -42*p**3 - 790*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 662*k**3 - 804 wrt k.\nAnswer: 1986*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69800 and 100?\nAnswer: 69800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from jpjjpjjjjjpjpp.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 11. Let p be b(-5). What are the prime factors of (1 + (-2)\/p)*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*d**5 + d**4 - 8*d**3 - 14524*d wrt d.\nAnswer: -3100*d**3 + 12*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*d + 422 = 0, 14*d - 13*d - 3 = 0. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -28, -107, -252, -481, -812, -1263, -1852?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 272982490 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 8*i + 201. Let j be u(-30). Are j and 863 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 13 = -d - 9 + 6, 0 = 34*d - 3*z + 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101001010101100101001 - -1000?\nAnswer: -100011101001010101100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - l**2 - 2*l - 2. Let o(d) = -2*d**3 - 2*d**2 - 2*d - 3. Let b = 18 + -20. Let j be ((-270)\/(-12))\/5*6\/9. What is b*o(f) + j*m(f)?\nAnswer: -2*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -236, 515, 1266, 2017, 2768, 3519?\n\"Answer: 751*z - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/6 + 11*f**2. Let d(l) = -l**2. What is d(j(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252736848 divided by -8424.\nAnswer: 30002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1938997 litres?\nAnswer: 193.8997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25308 by -3.\nAnswer: -8436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k + 1. Let f(r) = -6*r**3 + r**2 + r - 2. Let u(d) = -f(d) - 2*y(d). Let o be u(1). Factor -3\/4*g**3 + 3\/2 + 15\/4*g + 9\/4*g**2 - 3\/4*g**o.\nAnswer: -3*(g - 2)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 15. Let v be u(7). Let b be (-10800001)\/2 + (-4)\/v. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 + 206*c + 2453. What is l(-22)?\nAnswer: -5467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 23*b**3 + 4*b**2 - 37*b + 10. Let s be g(6). What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1575 (base 9) to base 11\nAnswer: -9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 3*h + 1. Calculate x(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6401, -12796, -19175, -25538, -31885, -38216?\nAnswer: -44531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 + 7*q**3\/4 - 17*q**2\/4 + 17*q\/4 - 3\/2.\nAnswer: -(q - 3)*(q - 2)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6417 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323391?\nAnswer: 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5.88 times 3\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 7*u + 22. Let i be o(7). Suppose -3*a - i*l + 15 = -19*l, -2*l = -a - 1. Solve 0 = -a*y - y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**2 + 32*r**2 - 7*r**2 - 2*r**3 - 98*r**2 + 41*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34076 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930 and 17206290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*((-63)\/147 - 5\/(-7)). What are the prime factors of (-32)\/(-64) + (-465)\/y?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 2 - (-7 - -5). Suppose -k*g + 47 = 12. What is the remainder when 26 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 61 + 34*u - 62 - 35*u + 3*u**2. Let q be i(-1). Solve 0 = 5*l - t + 25, -q = -3*l - 2*t - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -8*p**6\/3 - 3*p**4\/4 + 5*p**2\/2 - 7*p + 112. What is the second derivative of m(j) wrt j?\nAnswer: -320*j**3 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 divided by 158?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 2*d - 30)*(2*d + 1 - 1) + (113*d - 145*d + 215*d)*(1 + d - 1).\nAnswer: 179*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Is 0 >= -24309840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 2*i - 7. Let m(s) = -s**2 + s - 6. Let z(d) = -2*k(d) + 3*m(d). What is z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126155?\nAnswer: 5, 23, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/8*(-44)\/12*-20*126\/5775.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*m + 293, 4*m - 82 = y - 316. Let p = -91 - m. Let s = p + 64. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) -5 (c) -0.2 (d) -19257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.5825775 to three decimal places.\nAnswer: -16.583","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: ((-164)\/(-8))\/(95\/(-760))*-2*(-1)\/8\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giur when four letters picked without replacement from {g: 1, u: 1, r: 1, j: 1, i: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*1*34\/(-493)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -8*f + 91*f - 7592. Calculate the remainder when f is divided by 73.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -545, -811, -1075, -1337, -1597, -1855?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.4752 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964, 3928, 8882, 15832, 24784?\nAnswer: 35744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12225.6891ns to days.\nAnswer: 0.00000000014150103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -0.4 (b) 0.11778 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 + 3*h**3 - 3*h**3)*(-2585 - 1671 + 3168).\nAnswer: -3264*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*c - 35 = -28, -c - 618 = -160*y - 134 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 67) + 21\/(-3) - (7440\/(-56))\/(-31).\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:48 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 136259 and -0.2?\nAnswer: 136259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 (base 13) in base 7?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*y. Suppose 2*m = 3*i + y, 4*i = -m + 3*m. Suppose b + 0*w = -4*w + 3, -15 = -5*b + w. Solve m = -b*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 2*p + p)*(-51 + 6 - 1)*(-2*p - 12 + 13 - 9) in the form s + u*p**2 + d*p and give d.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533920 is divided by 644?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 322.2? (a) -2\/5 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h + 44*h + 32 = 0. Which is the biggest value? (a) -2\/9 (b) h (c) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002609 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*v - 138*v - 137*v + 413*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -867 - -340853?\nAnswer: 338875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -41.\nAnswer: 112\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y + 3*y - 114. Suppose -p = 5*n + 2*p - 85, -n + 4 = -2*p. Let t = n + y. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22934\/2751 - 20\/393. Let c = 145 + -409\/3. Find the common denominator of c and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + 499. Calculate the least common multiple of r and 4.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (461*h**2 + 353 + 351 - 705)*((1 - 1 + h)*(-h - 2*h + 0*h) - 2*h**2 + 0*h + 0*h + (6 - 1 - 3)*(0*h + 0*h - 2*h**2) - h - 2*h**2 + h).\nAnswer: -5071*h**4 + 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-22) + (-6 - (-714)\/66). Let y be 6\/(-30) + (-4)\/k - -19. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.86 - -23.16. What is the closest to -1 in -222, -2\/11, 3, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 9, 21, 37, 57, 81?\n\"Answer: 2*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*i + 24 = 0, -22 = -3*s - 27*i + 23*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 9*p. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20169228?\nAnswer: 2, 3, 733, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -4\/5, 9551?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*s**2*w + 4*j*s**2 + 259*j*s*w**3 - j*s*w - 23*s**2*w**3 + s*w**3 wrt s.\nAnswer: 4*j*w + 8*j - 46*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.14999974 - -1.15. Round h to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.0359 + -145. Let s = i + -0.071. What is s rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 2, 7, 2\/5 in ascending order.\nAnswer: -3, -2, -1, 2\/5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 959447\nAnswer: -1\/959447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -2.28. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + sqrt(242) + -3 + -1.\nAnswer: -4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -12*o - 2*y, -3*o + 2122 = y + 2135 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:24 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1764*k - 50160 = -1802*k. Calculate the highest common divisor of 840 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020993 less than 2020994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10*a + 5*a = -11, -5*q - a = 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29228449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 698.535 + -28475.\nAnswer: -27776.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/15 + 7*z**4\/24 + 4*z**2. Find the second derivative of l(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-15) + (296\/120 - 16\/(-120)). Solve -9*n + 4*c - 26 = -14*n, 0 = -f*n - c + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 6*v + 7. Let m = -8 - -11. Let k be i(m). What is the tens digit of (k + 3)\/((-2)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 72, 79, 88, 99, 112?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 5*t**2 - 118 + 7*t**2.\nAnswer: 2*t**2 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 8 + 2*f + 2*f. Let b(p) = -p - 1. Let i = 44 - 24. Let r = i + -12. Determine r*b(q) + h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 79*k + 5. What is m(-1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 82 = -y, -11*g - y - 88 = -16*g. Suppose 4*q = -1 + g. Let m(o) = -o**2 + 6*o - 2. Give m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -911.\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 45 + 11. Put q, 4, 2 in increasing order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 50*i + 52*i - 100*i = 116, 0 = -i + 1 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 79*b + 3*b**2 - 79*b. Let c(d) = -8*d**2. What is c(q(k))?\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -40, -3*t - 5*g = -4060 - 4260. What is the smallest common multiple of t and 4?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 186. What is the highest common divisor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2. Let s(n) = 6*n**3 + 2*n**2 - n + 4. Let b be s(2). Let t(r) = -11 - b*r + 59*r + 3 - 2. Give k(t(l)).\nAnswer: -2*l**2 + 40*l - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.533?\nAnswer: -4.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(0 - 1 + 3) + 0 + 1 + 1 - 1 - 3 + 2 + 3 - 2 + 0 + 465 - 126 + 311)*(-2*x**2 + 4*x - 2*x + 3*x**2).\nAnswer: 653*x**2 + 1306*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/210 - 13*i**5\/60 + 7*i**4\/12 + i**3\/6 - 26*i**2. What is the second derivative of m(p) wrt p?\nAnswer: 12*p**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*x**2 + 19*x**4 + 81*x**2 + (2 - 6 + 3)*(2*x**4 + x**4 - 2*x**4) + 0*x**4 - 3*x**4 + 2*x**4.\nAnswer: 17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:10 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8 and 53\/4460?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -24401405?\nAnswer: 3\/24401405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n**4 + 5\/112*n**8 + 0*n + 0*n**6 - 25*n**2 - 9\/20*n**5 + 0 + 0*n**3 + 0*n**7. Find the third derivative of v(g) wrt g.\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 313677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 103. Which is greater: 74 or r?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d5 (base 16) in base 15?\nAnswer: e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 2 = -2*y. Let j = y - 5. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-140)*(-4)\/50?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 3*o - 36. Let k(h) = 3*h**2 + 3*h - 36. Suppose 2*d - 4 = -16. Let w(g) = d*k(g) + 5*a(g). Let w(m) = 0. Calculate m.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 11\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -782, 2 in descending order.\nAnswer: 2, 1, -782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w. Let m be c(5). Let i = m - 481\/6. What is the nearest to -2 in -1\/2, i, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6614 + 1390 = 3*w, -3*y = 0. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + (-66)\/(-8). Factor h*b + 12*b**2 - 2*b**3 + 2*b**4 + 3*b**3 + 7*b**3 + 2.\nAnswer: 2*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.2. Let u(h) = h + 6. Let p be u(0). Let x = 6 - p. Is r at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114758.6983 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 18*s**2 - 19*s - 20. Determine x(19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 5. Let m(b) be the first derivative of -3*b - 2044. Determine -3*j(t) - 5*m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 50, 60, 70, 80?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3300*b**3*s - 2*b**2*s - b*s**2 - 51279*s**2 wrt b?\nAnswer: 9900*b**2*s - 4*b*s - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262260 and 2448.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 1114. Let g(k) = -6*k - 1675. Give 5*g(u) + 7*w(u).\nAnswer: -2*u - 577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1797*d**3*l**3 + 3*d**3*l*t + 2*d**2*l**2*t - 218101*d*l**3*t**2 + 197*l*t**2 - 152*t**2 wrt l.\nAnswer: 10782*d**3 - 1308606*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21000.43 + -260.85.\nAnswer: 20739.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8 + 54?\nAnswer: fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 3, 7, 13, 21, 31, 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(25 + -33). Suppose -2*n = -5*n, 0 = 4*s + g*n - 36. What is the remainder when 35 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 19. Let n be q(5). Let m(h) = -5*h. Calculate m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 119. Suppose 4*g - 7*z + 80 = -11*z, -g = q*z + 20. Which is smaller: g or -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbllbbjbllj. Give prob of picking 1 l, 1 b, and 2 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -3\/2 (b) -0.4 (c) -3\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 14*y - 30. Let i = 13 - 10. Calculate the smallest common multiple of j(-3) and i + -1 - 25\/(-1).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = 17*w - 4*v - 20, 4*w - 5*v - 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 12 = -10*x. Let c(v) be the first derivative of v**4\/4 - v**2\/2 - 1. Let j(t) = 6*t**3 - 2*t**2 - 9*t + 4. Let m(y) = 5*c(y) - j(y). Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3563\/9 - -396. Let w(f) be the second derivative of 2\/45*f**6 + 0*f**2 + 0*f**5 - p*f**4 + 0*f**3 + 0 - 2*f. Factor w(l).\nAnswer: 4*l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwkcckcwwcccck. What is prob of picking 1 k and 1 w?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(0\/(-2))\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-2200)*56 + -6 + 0.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(396))*-2 + sqrt(396)*-2 + -2 + (1*sqrt(396) + 3)**2*-1).\nAnswer: -1227 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + sqrt(110)*1*-4 + sqrt(110) - 3*-3*sqrt(110))\/(-3*5*2*sqrt(810)).\nAnswer: -4*sqrt(11)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*s - 1. Suppose 0 = -3*b + b + s. Suppose 5*t - 2*z = 120, 0*t = 5*t - b*z - 105. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 507 = 87. What is the highest common divisor of 35 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5192 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1796, -2552 in descending order.\nAnswer: 1796, 0.05, -2552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*o + 110 = 0, -2*k + 3*o + 8 = -11. Let r = k - 13. Suppose -2*p + 36 = -r. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - h - 5. Let a be g(5). Suppose -41 = 2*f + 39. Let y be ((-4)\/10)\/(2\/f). What is the highest common divisor of y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (sqrt(363) - (1 + sqrt(363))) - sqrt(363)) + 0 + sqrt(363))**2 + sqrt(363) + sqrt(363) - -5*1*sqrt(363) - (-1*sqrt(363) + 3 + -5).\nAnswer: 66*sqrt(3) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/80*-4)\/(4\/40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3024566033 + -5?\nAnswer: 3024566025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 983*h**5\/30 - 973*h**3\/6 + 578*h**2 - 2*h. What is the first derivative of y(q) wrt q?\nAnswer: 3932*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530105377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 4)*7\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37761*p = -37739*p - 110. What is the highest common factor of 1685 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200243040 (base 5) to base 13.\nAnswer: -2189b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/6 + 2*q**2\/3 - 2*q = 0. Calculate q.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -933, -1417?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2764 divide 1470505492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 153\/204*(-152)\/(-9) - -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -266? (a) -0.3 (b) -1\/2 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 12*i**2 + 222*i + 2017. Calculate b(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose h = v*h - 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -22136?\nAnswer: 22130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.017916 * -0.2772\nAnswer: -0.0049663152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302220231 + 1120?\nAnswer: 2302222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21503 + -0.2462. What is q rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Calculate the remainder when 43 is divided by g\/2*(-22)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316777 (base 10) in base 8?\nAnswer: -1152551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = -3*j, 0*j - 4*j = -q + 8. Let v = 214 + -214. Sort v, q, -2 in ascending order.\nAnswer: q, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35875*(-484)\/(22\/2). Round c to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.978 * 0.12423.\nAnswer: -0.86687694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f + 19. Let q be (-228)\/38 + (-1 - -1). Determine p(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -370, -879, -1592, -2509, -3630?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 3691*m**6\/60 + 4141*m**4\/24 - 2*m**2 + 3105*m. Find the second derivative of a(n) wrt n.\nAnswer: 44292*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 80, 165, 326, 587, 972, 1505?\n\"Answer: 4*z**3 + 2*z**2 - z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 14. Determine y(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 + 35)*(-54*i - 147 + 71 + 78).\nAnswer: -1998*i + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2758 * -2.\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 11*f**2 + 23*f + 9. Let b be x(9). Suppose 2*j + w - 92 = 104, 292 = 3*j + w. Let q = j - b. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -13*u + 9. What is the remainder when m(-6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*d + 9154 + 3576 = -72 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-20)\/80*130\/(-22) and 113\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:56 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*v - 68*v - 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -450, -451, -460, -477, -502, -535?\n\"Answer: -4*i**2 + 11*i - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0 + 11\/3*n**3 + 0*n**4 + 0*n**2 - 20*n + 13\/5*n**5. Find the second derivative of a(j) wrt j.\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139660425 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.314628cm?\nAnswer: 0.03314628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63968237 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 - 4*z - 7. Let v(w) = 7*w**2 + 8*w + 13. Let i(y) = 3*v(y) + 5*x(y). What is the remainder when 9 is divided by i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3906342 and -9\/22.\nAnswer: 3906342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (13 + 5 + -10)) + (6 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89615769041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 (base 10) in base 2?\nAnswer: 100111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047909 * -0.1.\nAnswer: -0.0047909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 54*a + 56.\nAnswer: -2*(a - 28)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or -2.631?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110488 or -0.5?\nAnswer: 110488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 5. Let h(n) = -36*n - 176. Let u be h(-5). Suppose -3*q + 120*p = 115*p - 24, 4*q + u*p = 0. Give f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*y + 2*n - 6, -3*y + 2*n = -14. Which is bigger: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80880.3nm in kilometers?\nAnswer: 0.0000000808803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (41 + -47 - (6 - 1) - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 + n**3)*(-n**2 + 2*n - 2*n) - 4*n**5 + n**5 + 2*n**5 - 2*n**5 + 3*n + 9 + 8 - 19.\nAnswer: -4*n**5 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625 bigger than 1625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5606618566 rounded to 3 decimal places?\nAnswer: -0.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4 = -5*z, 2*o - 11 = -5*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59313 is divided by 3295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 2*f - 582. Suppose 2*p + w = 468, -5*w = -p + f + 29. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -479 (b) -46 (c) 3\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/28 - 9*z**3\/7 + 243*z**2\/14 - 2*z + 10. Factor r(m).\nAnswer: 3*(m - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*y + 616*y = -403*y - 18738 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8141825 to 3 decimal places.\nAnswer: -1.814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/59 + 55\/118. Let o be 50\/(-875)*(-5)\/2. Let w = 3.4 - 0.4. Which is the nearest to 1\/3? (a) v (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*1\/9 - (462\/(-18) - -23). Let t(a) = -4*a + 4*a + 3 - a. Let j be t(z). Solve -u + 6*u = y + 25, -2*y + 2*u - 18 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/360 + z**4\/12 + z**3 - 9*z**2. Let x(t) be the first derivative of v(t). What is x(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -19*x**5\/180 + 515*x**4\/72 - 3*x**3 - 911*x**2. Factor h(r).\nAnswer: -(r - 27)*(19*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.70645kg in milligrams?\nAnswer: 81706450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/12 + 2*w**5\/15 - 13*w**4\/24 - 622*w**2. Let z(s) = -3*s**3 + 3*s**2 - 4*s. Calculate -2*t(v) + 7*z(v).\nAnswer: -v**3 + 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - 52. Let l be (0 - -1 - -9)*g\/182. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1110252 by 2.\nAnswer: 555126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**2\/11 - 306*m\/11 + 312\/11 = 0. What is m?\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/4081 + 324439\/416262. What is the common denominator of -137\/102 and v?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-20)*(-16)\/12. Let t(h) = -h**2 - 6*h - 4. Let r be t(-5). Suppose 3 = 4*v - r. Is v at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 - -3) - (13 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25*d**2 + 17*d - 40. Let l(m) = -9*m**2 + 6*m - 13. Determine -11*l(f) + 4*n(f).\nAnswer: -f**2 + 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30 - 1)\/((-3)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*b. Suppose -5*h = 5*v - 225, 0*h + v - 94 = -b*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 4*i - 26. Let v(h) = 14*h**2 + 13*h - 77. Let w(u) = 17*q(u) - 6*v(u). Is w(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9915866 rounded to the nearest 10000?\nAnswer: 9920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/33)\/(21\/282 + 0). Let g = 15\/11 - r. Which is the second smallest value? (a) 2\/7 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6730810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -691 - -287. Let x = 8482\/21 + p. Let l = 81\/14 - 11\/2. What is the nearest to -2\/5 in l, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33775 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/7, -3626, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 4*o - 22, -u + o = -6 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7077, -29383, -82135, -180555, -339865?\nAnswer: -575287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-7))\/((-76)\/(-16) + -5). Factor g - 30\/7*b**2 - 2*b**4 + 38\/7*b**3 + 2\/7*b.\nAnswer: -2*(b - 1)**3*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1014, 1969, 2918, 3861?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, c: 3, g: 8}. What is prob of picking 1 t and 1 c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-3) + 36600\/(-1650)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 43. Suppose -u*i + 10*i = 406. Let l = i - 9. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2\/7 - 743953640*y\/7 - 34591688654328100\/7 = 0.\nAnswer: -92994205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3222\/(-20) - (-31)\/310. Let h = 95 - m. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02796452465 rounded to 4 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.74403?\nAnswer: -0.64403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19393 > -96969\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.46 and 0.22?\nAnswer: 0.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10145 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + -6)) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5056636*k - 6559435 wrt k.\nAnswer: 5056636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5586 = -106*w - 1346 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-85)*(1\/(-1))\/((-33)\/15)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -55ab?\nAnswer: 5590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:41 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -9. Suppose z + 11 = 2*g + 5, u*z - 12 = -2*g. Solve -z = -5*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 9*v + 17*v. Let h be ((-6)\/(-15))\/((-1)\/(-25)). Solve -5*t = -3*l - v, 2*t - 3*l = -2*l + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10472040 rounded to the nearest 100000?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 2*a, 4*a + 1 = -0*p + 5*p. Let v be (-13 + 1)\/3*p. Sort -1, v, 2.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -11. Let g = -13 - -8. Sort g, h, 5 in descending order.\nAnswer: 5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/2 (b) 0.0602 (c) -0.5 (d) 1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16094*v + 4001?\nAnswer: -16094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let l = 9 + -61\/7. Which is the nearest to l? (a) 2\/7 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**2 + 93*d - 3014. Let o(t) = 3*t**2 - 17*t + 603. Give -2*g(q) - 11*o(q).\nAnswer: q**2 + q - 605","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122542 is divided by 160?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 + 9*g - 4. Let l(w) = 2*w**2 - 4*w + 2. Suppose 0 = -r + 3*x - 13, -x + 63 = -3*r - 0*x. Let m = 25 + r. Determine m*t(p) + 7*l(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 11. Are t and -1\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**4 + 836*g - 197*g**2 - 835*g - 10*g**4 as i*g + r*g**4 + f + n*g**2 + t*g**3 and give n.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521032, -521037, -521044, -521053?\nAnswer: -521064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -0.11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7632 divided by -5.\nAnswer: -7632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 + 51 - v**2 + 17629*v - 17627*v)*(-3 - 2 + 4) to the form x + y*v**2 + g*v and give x.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:44 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -v + 153, -v + 11*u = 7*u - 156. Solve -v + 48 = -24*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*p - 36, 5*d - 4*d = -2*p + 24. Let m be (59 - 54) + 23\/2. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9480773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 22 = 4*u - 2, -6 = -u - 3*h. Suppose -3*w + u*w = 72. Suppose 0 = 6*b - 8*b + w. Calculate the highest common divisor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -106. Suppose 0 = -u*s + 4*s + 3. Solve -s*p + 6*h - 13 = 2*h, 2*p + 4*h - 18 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97637675?\nAnswer: 5, 19, 205553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 5592, -5 in increasing order.\nAnswer: -6, -5, -2, 5592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/(4\/(-3)). Let p = 5.77 - 0.77. What is the smallest value in t, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 304\/(-80) + (-8)\/(-10). Let c be q\/(-2)*(-52)\/(-39). Suppose -4*w + w = 4*x - 93, 5*x = -c*w + 125. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 352\/110 - 2\/10. Let g be (-9)\/18 + 7\/4. Find h, given that 1\/4*h**d + h**2 + 1\/2 + g*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141494625*y - 141494591*y + 282989219*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 - 21*g**3 - 78*g**2 - 76*g.\nAnswer: -g*(g + 2)**2*(g + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = -4*f - 3, 18 = 3*g + 4*f. Solve 4*r - 20 = -g*y, -2*r + y + 10 = -y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 10) to base 14.\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1727*x**3 - 4*x**2 + 39*x - 23. List the prime factors of l(3).\nAnswer: 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19753 + -19757. Let r = -0.24 - -0.2. Which is the nearest to -2? (a) -1 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*b**2*m**3 - 3*b**2*m**2 - 3*b*m**3 + b*m**2 - 129*m**3 + 2 wrt b.\nAnswer: 166*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*s**3 - 2794*o*s**2 + 3*o*s + 2798*o + 2*s**3 wrt s?\nAnswer: -12*o*s - 5588*o + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1620 and 3960.\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u = 1661, -4*b - 3325 = -12*u + 7*u. List the prime factors of (-6)\/27 - b\/9.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:36 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12479 is divided by 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 18*c**2 + 6. Let b(m) = -35*m**2 - 10. Let a(z) = 3*b(z) + 5*o(z). Let k(h) = -2*h. What is k(a(x))?\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3408*q**2 + 6868*q - 104 = 0. Calculate q.\nAnswer: 13\/852, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/4))**(1\/4))**46 assuming b is positive.\nAnswer: b**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 520. Which is greater: 484 or g?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100033 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -41\/60*f**5 + 0*f - 29*f**2 + 0 - 1\/12*f**4 + 0*f**3. Let n(c) = c**2. What is a(n(b))?\nAnswer: -41*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 6) to base 16.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1988, 1952, 1902, 1844, 1784?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 + (-3186)\/(-99). Suppose 3*a + 5*o - 52 = 0, -5*o = -a + 12 + r. What is the smallest common multiple of a and 7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9140 - -9529. What is the least common multiple of p and (-6 + 5)*10\/(-2)?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1247*b**4 + 577*b**3 - 1646787*b wrt b?\nAnswer: 14964*b**2 + 3462*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -7*v**6\/360 - 7*v**4\/24 + v**3 - 5. Let s(c) be the third derivative of g(c). Find the first derivative of s(d) wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 3. Let t be 2 - 3 - n\/2. Suppose -2*u - h + 8 = 0, 3*u - 4*h = 25 - t. Solve -4*f + v - 14 = -4, 0 = -u*v - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h**3 - 1126 + 1126)*(-114 - 59 + 78 - 3*h**2).\nAnswer: 81*h**5 + 2565*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 47*u - 18. Let q(o) = -48*o + 17. Let f(a) = 2*q(a) + 3*r(a). Find the first derivative of f(b) wrt b.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y. Suppose 4*i - 1 = 2*p - 5, -i + 3*p - 11 = y. Let x(l) = -8*l**2 - 1. What is x(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2206 = 9*o + 523. What is the greatest common divisor of 33 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 131900?\nAnswer: -1318a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8543 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(78) + (4*(-4*sqrt(78) + sqrt(78)) - sqrt(78))))\/(sqrt(486) - (sqrt(486) + sqrt(486) + -4*sqrt(486)*-5)).\nAnswer: -20*sqrt(13)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115535765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 70?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scvv when four letters picked without replacement from svvccccssscsc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccpcpcclccpcccljc. Give prob of picking 2 p.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*f - 1 = 3, -4*s = -f - 13. Solve 0*l - 6 = s*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from wwxyyxyryrw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 518298 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (12 - (-5 - -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/((-42)\/(-24))*144\/(-384)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3500?\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3321 - 3213. Let w = 5 + -3. Suppose -2*p - 2*l = -x, -2*l = -w*p + 3*l + 80. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851917 bigger than 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 48, 2\/9, 3\/5, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 187840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*20\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 142149621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -95. Is z at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -3*h**3 - 22*h + 941. Let s(f) = f**2. Give c(s(o)).\nAnswer: -9*o**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.006 - -23. Let z = -0.474 + l. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 15905594.\nAnswer: 79527970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 3*l + 120. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 1, v: 1}. Give prob of sequence vg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -6. Let d = 13 + 17. What is the remainder when d is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 9\/13, 4, 0.19 in decreasing order.\nAnswer: 4, 9\/13, 2\/5, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-5)\/(-50)*-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 421 = 221 - 31 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 1\/3, 1.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 2*v)*(v**3 - 5*v**3 + v**3)*(3*v - 2*v + v).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 5*z + 2*z**5)*(-2 + 2 - 3).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 0.03139?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 - 227*t**2 - 11451*t + 11661. Let y(g) = -19*g**3 - 677*g**2 - 34352*g + 34984. Let f(q) = 8*b(q) - 3*y(q). Factor f(c).\nAnswer: (c - 1)*(c + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 22 = 6. Let k = 16 + i. Suppose s - 10 - 19 = k. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-19 - -8) - (-3 + -40 + 10)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 28*j - 96*j - 646*j - 594*j.\nAnswer: -1308*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10 = -11. Let d be (y\/27)\/((-1)\/(-2)). Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562 - 0.2.\nAnswer: 561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9924 - -0.0076. Which is the second biggest value? (a) f (b) -2\/3 (c) 34 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 46*r - 42. Let n be y(-45). Which is the nearest to -0.1? (a) -30 (b) -10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*o + 3*i + 152, -317 = -4*o - 5*i. Let f = -47 + o. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40466816 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/8 - 166185*s**2\/8 - 287380368*s + 8351510016 = 0. Calculate s.\nAnswer: -27712, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7798*a - 347359 - 32033 + 219168 - 596182 = 0 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q**10)**(-1\/8) assuming q is positive.\nAnswer: q**(-19\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*n**2 - 10*n**2 - 4*n**2)*(6 - 2 - 14)*(-n + 3 + 1 + 2*n) to r + m*n**3 + s*n + v*n**2 and give m.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6)\/sqrt(2) - ((-1 + sqrt(3) - sqrt(3)) + -4))*-5 + 0)**2.\nAnswer: -250*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8676148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 - 5)*(-2*w + w + 0*w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011111010 (base 2) to base 3.\nAnswer: 1202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/52)\/((-9)\/(-4)*(-9)\/(-54))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 135143 divided by 28\nAnswer: 135143\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 - 708*s + 28288\/3.\nAnswer: -4*(s - 13)*(s + 544)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = 5. Let a(p) be the second derivative of 0*p**3 + 0*p**4 - p + 0 + 1\/30*p**6 - p**2 + 0*p**m. What is the first derivative of a(j) wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.2 (c) 38 (d) 0.282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 138*g**2 + 4*g - 5. Let k be n(1). Let z = k - 130. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 465\/2 + 1\/2*w**2 + 79*w.\nAnswer: (w + 3)*(w + 155)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/25)\/(294\/(-245))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43025 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 3. Let f be o(-3). Let i = -16348 - -16359. What is the lowest common multiple of ((-6)\/5)\/((-2)\/f) and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.30515 litres in millilitres?\nAnswer: 79305.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*h = 88 + 26, -2*h = 6. Let z be (-3)\/w + (-60)\/32. Let n = z - -12. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 9) to base 14.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-6) + (-402)\/(-60) and 7\/12*48\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*v + 2, 4*a - 2 = -2*v + 20. Suppose -3*w = -a*s - 8412, w - 3*w = s - 5617. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.66 * -171094\nAnswer: -797298.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243840829 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 9. Let h(o) = -o + 2. Suppose -z + 7*z = -6. Let q be (z + 0\/(-1))\/((-4)\/(-36)). Determine q*h(c) + 2*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.1 + 28. Let n be 1\/(0 - 1\/5). Let i be n\/(1 + -2 + 0). Put u, -1\/4, i in descending order.\nAnswer: i, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-101)\/(-780) + (-6)\/(-39). Let c = s + -1\/30. Determine h, given that 1\/2*h**3 - 1\/4*h**5 + c*h**4 - 1\/2*h**2 + 1\/4 - 1\/4*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.2, -126404295?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.8 * 6.\nAnswer: -160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104864.\nAnswer: 2, 3, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:09 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = 3*f - 23, 2*k = 4*f + 6. What is the least common multiple of 2 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*q + 21*q**4 - 2*q**3 + 4*q**3 + 102*q - 69*q + 2 - q**2 in the form f*q + h*q**3 + b + u*q**4 + a*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 435*h + 3. Let p(f) = 16*f**2. Give o(p(l)).\nAnswer: -256*l**4 + 6960*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k - 1. Let a(o) = -o**2 - 1. Let d(g) = 9*g**2 + 5*g + 9. Let x(c) = -6*a(c) - d(c). Give -5*l(p) + x(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*b + 33*b - 84. Let d(l) = -l**3 - 3*l**2 - 3. Let m(w) = -4*w**3 - 14*w**2 - 14. What is b*d(q) + 6*m(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 0, 0.0289, 0.3, -180?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*a**5*u + a**4*u - 231*a**2*u wrt a.\nAnswer: -1380*a**2*u + 24*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**7))\/(v*v**(2\/7)))\/((v**5\/v)\/v)**(28\/3) assuming v is positive.\nAnswer: v**(-254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*c + 8, 0 = -4*f - c + 4*c - 8. Let l be (-4)\/(-30)*f\/(2\/5). What is the second biggest value in l, 6\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (41 + -35)\/(8\/6 + -1). Are b and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11211251 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 125*g + 127*g - 483, 0 = 5*j - 3*g - 2441. Let y = -127 + 188. What is the remainder when j is divided by y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -4*u - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/(s*s**(-6\/5)) assuming s is positive.\nAnswer: s**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16895 and -610?\nAnswer: 10305950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, j: 1, e: 1, x: 4}. Give prob of picking 1 j, 1 x, and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {h: 2, i: 3, s: 4, w: 2, a: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 3. Let r(p) = -9 + 4*p + p - 7. Suppose -10 = -3*t - 2*a, 2*t + 4*a - 4 = 8. What is t*r(j) + 11*y(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 75\/9421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 2*p**2 + 5*p - 6. Suppose -c = -3*f - 5, -3*f - 103 + 96 = -2*c. Let j be t(c). Solve -6*b - 2 = j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) 34 (c) 17.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**(-19)\/(d\/(d\/(d\/d**(-1\/2)))*d**(-1\/2)*d*d) assuming d is positive.\nAnswer: d**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 43640\nAnswer: 1\/43640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/12*-12*10\/(-4). Let v = 18 + h. Suppose v*w = -0*w + 6. Solve -4*y = -w*s + 10, -s + 5 = -3*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302 = -78*h - 1180 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 21. Suppose 3*g - x = 143. Let s = g - 26. What is the remainder when 90 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/800*(-4)\/(-6).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + -3 - (-1596)\/133. Put u, -437, 1 in ascending order.\nAnswer: -437, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4595*k**3 + 1318*k - 44240991 with respect to k.\nAnswer: -13785*k**2 + 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -367 + 372. Suppose 313 = z*a + 8*b - 9*b, b - 59 = -a. Calculate the remainder when a is divided by 12\/(-9)*12\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 48*t = -45*t - 9, 17 = y - 7*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 1. Suppose -4*k + 0*k = 2*l + 6, -9 = 3*l + k. What are the prime factors of c(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1199?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k + 74*k = -o + 213, 4*o = 3*k + 887. Suppose 0 = 5*a - 25, g + 4*g + a = 370. What is the remainder when o is divided by g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1687)\/3*(-29 + 26). Let q = 3017 - p. List the prime factors of q.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = 0. Suppose 0 = -41*f + 204 - 81. Suppose z = -d - 3*d + f*j + 111, 2*d + j = 43. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, 12808, -2\/9?\nAnswer: 12808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/219, 4, -2\/9, -0.3 in decreasing order.\nAnswer: 4, 2\/219, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1)*15*-3. Let k = 109 - 104. Let y = 10 + k. What is the greatest common divisor of v and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 522*k - 3646. Determine a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2891*h**2 - 1448*h**2 - 1445*h**2 + 20.\nAnswer: -2*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4*-2)\/(-20 - -18) + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 970, 3399, 7454, 13141, 20466?\n\"Answer: f**3 + 807*f**2 + f + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))\/(y*y*y*y**(-1)*y*y))**(-1\/24))**(-6\/5) assuming y is positive.\nAnswer: y**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14142 divided by -3.\nAnswer: 4714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 1489792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1576240 and -109\/266.\nAnswer: 11033680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09676715 times -2?\nAnswer: -0.1935343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5\/7)*s)*s*s**(-5)*s*s)\/((s\/(s\/(s\/s**(-11)*s*s)))\/(((s*s**(1\/11)*s)\/s)\/s)))**36 assuming s is positive.\nAnswer: s**(-42120\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -961465?\nAnswer: -4\/961465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16600289 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*y = -10 - 21, -5*m + 2*y + 40 = 0. Let g be (64\/m)\/4*6\/(-8). Sort 2, g, 57.\nAnswer: g, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*r = 2516, 0*b + b = -5*r + 1244. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 312. Let o be ((-1)\/(-2))\/(4\/l). Calculate the highest common divisor of 65 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -28 - (-3 - -1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 150042.29 to the nearest 1000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3483 - -1877?\nAnswer: 524a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12050 by 10.\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 - -134. Calculate the common denominator of 4\/w*(-6)\/(-21)*-53 and -12\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 18) + 21 - (85 - 2 - 1)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8213 or 8211?\nAnswer: 8213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 21*o + 8. Let m be -1 - (2 - 0 - 15). Suppose -2*y = -o - m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -6*sqrt(68))**2 + sqrt(153) + -1.\nAnswer: 3*sqrt(17) + 2872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.02, 1\/5, 58\/17, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/1848 and -43\/9954?\nAnswer: 437976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8601869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10800?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51.946 + -52. Let y = g - -0.0491. What is y rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/196 + (4\/62 - 10400\/11284)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -236 and -2.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 105 - 27*s**2 - 202)*(-s**2 - 5*s**2 + 0*s**2).\nAnswer: 162*s**4 - 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 2*b**2 + b. Suppose 90*c - 28*c - 2479 = -5*c. Calculate the remainder when k(-5) is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 1, o: 2, x: 6, l: 3}. Give prob of picking 1 o, 1 f, and 2 x.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/((-46)\/632316)?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = f - 2*f - 572, 3*x + 5*f = 360. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.5, 5, -2959.\nAnswer: -2959, 4.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/7 - 394*x\/7 - 38809\/7 = 0.\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 6 - 27\/5*b**5 + 0*b**4 + 0*b - 19\/2*b**2 + 0*b**3. Find the second derivative of c(l) wrt l.\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -15, -5, -1, -3 in ascending order.\nAnswer: -15, -5, -3, -1, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14078683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735*q**5 + 1631*q**4 - 5157*q**3\/5 + 553*q**2\/5 + 24*q + 4\/5 = 0. Calculate q.\nAnswer: -2\/35, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-15) - (-2)\/5. Let k = j + -2. Put 4, -2\/11, k in decreasing order.\nAnswer: k, 4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 5, m: 2, e: 1, j: 1, q: 3}. What is prob of picking 1 e and 1 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 539 + -251. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-13 + 8)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 19563.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 18*f + 191. Give q(-9).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtj when three letters picked without replacement from {j: 6, k: 1, a: 3, t: 2, c: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 48*b**2 - 18*b - 2 - 49\/3*b**3. What is the first derivative of d(n) wrt n?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**15*q*q))\/((q*q**(21\/5))\/q) assuming q is positive.\nAnswer: q**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 1. Let t be o(1). Suppose -4*p = -5*r + 2, -5*p + 14 = 5*r - t. Find the third derivative of -3*x**2 + x**5 + p*x**2 + 3*x**2 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.24802073 rounded to 4 decimal places?\nAnswer: 20.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 23*b - 7. Let s(f) = -4*f**2 - 35*f + 10. Calculate 5*s(n) + 7*w(n).\nAnswer: n**2 - 14*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/5 - 348*p**3\/5 - 141*p**2 + 1744*p\/5 + 420 = 0.\nAnswer: -3, -1, 2, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13878 + 13877. What is the nearest to v in 3\/2, -1, -8\/5, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:50 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykyykkyyyyykkkkkqyyy. Give prob of sequence qk.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482149954*a + 8942533.\nAnswer: -482149954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 966644 and -0.05.\nAnswer: -48332.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(-3\/2)\/c*c*c)\/c))*c*c**(2\/25)*(c*c**(-2\/9))\/(c*c**(1\/4)))**(-32))**(-14) assuming c is positive.\nAnswer: c**(-89936\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224268753 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2}. What is prob of sequence pp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -f - 1, 5*m + 4*f - 1 = -11. Suppose -m*u + 4882 = 3*v, -12179 = -5*u + 2*v - 3*v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 9, 30, 59, 96?\n\"Answer: 4*a**2 + a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*l - 990, 5*g + l = 336 + 678. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*p**3 - 77*n**2*p**2 + 54*n**2 - n*p - 2*p**3 wrt p.\nAnswer: -12*n**2*p - 154*n**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1748, 1743, 1736, 1727, 1716?\n\"Answer: -h**2 - 2*h + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from {e: 1, n: 11, j: 7}?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*t = -106, 0*t = -4*g + t + 114. What is the remainder when 126 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htqthtqqqttqqqqpppqq. Give prob of picking 1 q and 2 h.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 34*g**2 + 7\/3*g**3 + 0 + 0*g - 1\/20*g**5 + 0*g**4. Differentiate w(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -9.3\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3288, 3287, 3286?\n\"Answer: -p + 3289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -312 - 299. Let u = 29077\/2 + -13969. Let k = u + b. What is the common denominator of k and -49\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -142*f**2 + 1564*f - 21. Determine i(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 q when four letters picked without replacement from nujnnjuqquqqqqq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126784)\/2445120)\/(3\/30 + 2)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8421688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -47, -2\/7, 0.134, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.134, -2\/7, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n + 5. Let f(v) = v**2 + 6*v - 6. Let h be f(-6). Let l be (-224)\/(-28) + -1*1. Let b(k) = -9*k + 6. Determine h*b(g) + l*o(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 4104?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -17 (c) -12\/11 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x - 700 = -1739 - 1411 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4234 - 2365. List the prime factors of m.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182 - 19 + 201 + 3823*c to the form d + u*c and give u.\nAnswer: 3823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.006 + 0.0256. What is c rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 93*a + 7. Let b be c(45). Calculate the greatest common divisor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:00 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3117 = 5*r - i, 2*r - 3*i - 1239 = -0*i. Suppose r = 13*f - 7*f. Calculate the remainder when f is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tykt when four letters picked without replacement from {t: 3, b: 3, r: 2, o: 3, y: 3, k: 5}.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -124413?\nAnswer: 124400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 161. Solve t = 4*v + 10 + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3*p - p. Let j(s) be the first derivative of -19\/3*s**3 + 0*s + 96 + 0*s**2. Calculate v(j(z)).\nAnswer: 57*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33810 + 202411\/6. Let l = f - 612. Let y = l - -2135\/3. Find the common denominator of -67\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(5))**2 + 5)*-5 - (4*sqrt(2205))**2.\nAnswer: -35705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2538705 + 2537523.6971. Let q = w + 1186.802841. Let i = q - 5.5. Round i to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 + 2)*(2 + -1). Suppose -353*n = -349*n - 1676. Let h = 408 - n. Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 423980, 849056, 1274132, 1699208, 2124284?\n\"Answer: 425076*j - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/7 + 4090*a**2 + 94212400*a\/7 - 60173341000\/7 = 0.\nAnswer: -7430, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3153 + -3150.109. Round v to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-12)*1)\/((-1)\/(-1294)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30617.\nAnswer: 17, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 + 0*f**4 - 19\/120*f**6 + 0*f + 1\/6*f**5 + 0*f**3 + 3*f**2. What is the third derivative of c(d) wrt d?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -695.074 + 696. What is l rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let d be -1*4\/12 - 52\/(-12). Let u(a) = -49933*a - 1169. Let m(f) = 171*f + 4. Let g(p) = d*u(p) + 1169*m(p). Give o(g(s)).\nAnswer: -167*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-12)\/(-3) + -2). Let d be ((-8)\/16)\/(a\/4). Suppose d*j - 159 = -j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 7*u - 12. Let t be 2\/(-4) + (-14)\/(-4). Suppose -5*x + t*c + 6 = 0, -4*x - c = -2*x + 2. Solve x*h + 8 = -u*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*p - 18, -3*p + 9 = w - 5. Factor -2 - 27*v - 18 - 12*v**w + 4 - 5*v.\nAnswer: -4*(v + 2)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*u - 22. Let i(v) = -v**2 + 9*v + 2. Calculate the remainder when i(7) is divided by 6 + u + 0 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 266593 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 + 442*y + 876 = 0 for y.\nAnswer: -219, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-8))\/((l*l*(l*l*l\/l**6*l)\/l)\/l*l)*l\/(l\/(l\/((l\/l**(-2\/3))\/l)))*l**(3\/4))\/(l**(-1\/9)*l**(-1))**(-10) assuming l is positive.\nAnswer: l**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**3 + o**3 + 2*o**3)*(6 - 3 + 2) to y*o + k*o**2 + q*o**3 + b and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 88 = 468. Suppose 9*n = 11*n - m. Let f = n + 12. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, 1.493, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 74, 61, 48, 35, 22?\n\"Answer: -13*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 8) to base 11.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 1 - 78476707*h**2 - 2*h + 2 + 78476698*h**2. Let b(z) = -4*z + 1. Let t be b(-2). Give g(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3667, 0.28, 1.2 in increasing order.\nAnswer: -1\/5, 0.28, 1.2, 3667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 38*d - 166. Calculate the remainder when 48 is divided by f(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 38, 55, 76, 101, 130?\n\"Answer: 2*v**2 + 7*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9419489 and -22?\nAnswer: 9419511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150635 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 0*i**3 - 4*i**3)*(-2 + 2 + 3) + 20*i**3 - 22*i**3 - 93*i**3 + (-i - i + 4*i)*(-5*i**2 + i**2 + 2*i**2).\nAnswer: -114*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:04 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o + 0*o**2 + o**2 - 35*o to n + g*o**2 + k*o and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -85*u - 566. Calculate b(-9).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187496 is divided by 270?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*r + 132*r + 4*c = -5, r + c = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r**2 + 14. Let q(t) = -4*t**2 - 6. Let u(o) = 3*g(o) + 7*q(o). Let d(x) = -2*x**2 + 164. Give d(u(l)).\nAnswer: -8*l**4 + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 - 21*g + 41. Let t be m(8). Is t smaller than 387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (-24 - -24) - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 66 = 82. Solve -3*u + 4*u + 2*c - 2 = 0, 0 = 2*u + d*c + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-two ninths of a hour?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let c(f) be the second derivative of -1\/24*f**4 + 0 + 0*f**3 + 5*f - f**2. Let k(h) be the first derivative of c(h). What is k(r(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3 - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3410 - 3410.2. Let t = -0.01 - 1.99. Which is the third smallest value? (a) 4\/7 (b) 4 (c) l (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 15 = 0. Suppose -o*k + 2*h + 9 + 11 = 0, 2*h + 4 = -k. Calculate the remainder when 6 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -178, -267, -354?\n\"Answer: c**2 - 94*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 9. Suppose -8*f = -3*f - 5. Let u be (-5 - -8) + f + -16. Let d be g(u). What is the greatest common divisor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 20 = 9*u. Suppose -u = -3*p + 4. Solve 0 = -3*l - y + 10, 2*y = -1 + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 1090 - 3 - -5. Let p = z + -620. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43115 + -40434?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and ((-60)\/(-14))\/10 + (-554)\/(-14).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 556 = -2*r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(45) + (sqrt(30)\/sqrt(3))\/sqrt(2).\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -246 and 12362 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -2) + 2 + -4 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*x**3 + 45*x**2 + 2*x**3 + 2*x**3 - 9*x**2 as p + j*x + w*x**2 + s*x**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.21 + 30.81. Put -0.5, 5, -644, l, 3\/7 in descending order.\nAnswer: 5, 3\/7, l, -0.5, -644","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 63. Let o be (-99)\/a*(-6)\/(-3). What is the greatest common divisor of 363 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*d - 27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184205215 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 take away 0.14482977272?\nAnswer: -1.44482977272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47324270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -1372\/11. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-4) + 9*3\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.2 - -4.8. Let x = -27.2 + a. Let j = x + 5. Put -3, j, -4 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315040.00000177167 + -315040. Round k to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 1. Let d be i(-3). Suppose m = -0*u - d*u + 3, -3*m = 4*u - 5. Solve -5 = -4*t - 5*r, -u*t + 7*t + 5*r - 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y - 708 = -1221. Solve -2*k + y = 5*b + 1, k - 9 = -5*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 - 3*t. Is 10 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, b: 5}. What is prob of picking 2 m and 2 b?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 17\/10 (b) 40 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9310*g**2 + 83761?\nAnswer: -18620*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450 + 210*n - 22*n**2 + 2\/3*n**3.\nAnswer: 2*(n - 15)**2*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.1947 - 2804413\nAnswer: -2804406.8053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:32 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118645 (base 12) in base 10?\nAnswer: 284309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -5\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 372, -689, 4.\nAnswer: -689, 4, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.56, -101, 2\/15 in decreasing order.\nAnswer: 2\/15, -1.56, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 28050*h - 28055.\nAnswer: 5*(h - 1)*(h + 5611)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*l + 3*n = 0, 4*l - 4*l - 2*n + 650 = -2*l + 652 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {e: 1, c: 1, q: 2, h: 2, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let k be (-2)\/2*m\/6. Let t be (4\/(-12))\/((-1)\/9). What is the smallest value in t, 1\/10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -81.1. Let t(v) = 2*v**2 + 2*v + 1. Let m be t(-2). Which is the closest to n? (a) -0.2 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37945790.\nAnswer: 2, 5, 1861, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - i**3 + 7*i**2 + 9*i + 0*i**3 - 4. What are the prime factors of s(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*k - 70. Suppose -2*y + 4*j + 106 = 0, -2*y + 143 = -j + 25. Let c = y - k. Let i(n) = -n**2 - 5*n - 3. Determine i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4489, -8976, -13463?\n\"Answer: -4487*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 5*x - 2*x + (1 + 0 + 1)*(5*x + 0*x - 4*x) - x + 4 - 4 + (4*x - 3 + 3)*(0 - 3 + 5) + 7 - 804*x - 799*x + 1592*x as g + c*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 4*p - 2*p. Let q(r) = 4 - 4 + 2*r**2 - 4*r**2. Give q(a(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - y + 1. Let p be w(-1). Let j(d) = -20*d + 10. Let g be j(-10). Suppose -x = p*x - g. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 - 240. Let o(h) = 5*h**2 + 28*h + 19. What are the prime factors of o(c)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 - -1.1. Let n be 3\/(-4)*252\/189. Is n <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/85 - (-75)\/85. Suppose 0 = -2*y - 6, -2*o - v - 6 = 3*y. Solve 4 = d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose 2*t + t - 27 = z. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4631.\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, q: 5}. What is prob of sequence qqss?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*61746\/42640 - (-9)\/(-30).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.579 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4 - 151615*b**3 + 893*b + 129.\nAnswer: -12*b**2 - 909690*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/319088 and -5\/98.\nAnswer: 319088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {i: 12, w: 2, b: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -290546.\nAnswer: -145273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-9)*(-4)\/(-6). Let h = -113\/117 - j. Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 26 + 34)*(-6 + 4 + 3)*(-4 + 2 + 1 + (1 - 3 + 3)*(5 - 4 + 1) + 2 + 3 - 7)*(3*a - 3*a - 2*a).\nAnswer: 94*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*v + 8 = 0, -17*h = -5*v - 80 + 104 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 9*g**2)*(-g**2 + g**2 + g**2) + (-4*g**3 - 6*g**2 + 6*g**2)*(-2 + 2 + g).\nAnswer: -13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -953\nAnswer: 30\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210020 (base 3) to base 13.\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -6. Suppose 3*v = l*v - 8. What are the prime factors of 2 + (v - 2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(3 - 3 + 1)*(-1 - 5*j + 1).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**3\/3 - 7*q**2\/2 - 1. Let h be w(-7). Let d be -2*(5\/2 - 0). What is the nearest to -0.1 in 0.5, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, f: 4, e: 4}. Give prob of picking 1 f and 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5212 - -2423. What is the greatest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1381 (b) 8 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82869015 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 3355053?\nAnswer: -3355000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 6. Suppose -s + 6 = j*m, s + 4*m = 6*s + 12. What is the units digit of s + (-1)\/(-3) + 51\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*u + 11 = 0, -d + 5*d - u - 17 = 0. Let r be (0 - d) + 6 - -24. Suppose -4*v + 98 = -r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.7 + 8. Let x = 0.7 - o. Let u = 0.022 - 2.022. What is the nearest to 1\/4 in u, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**2. Let b(m) be the first derivative of 17*m**2\/2 - 83. Give i(b(k)).\nAnswer: -2890*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/720 + u**4\/48 - u**3\/18 + u**2\/2 - u. Let c(m) be the first derivative of a(m). Factor c(y).\nAnswer: -(y - 1)**2*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32459*-1\nAnswer: -32459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 3)*(-4 + 1 - 3) + 2 - 2 + 2)*(0 - 2 + 0)*(f + 7*f - 2*f).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50783218 + 11?\nAnswer: -50783207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f - 2*i, 22 + 12 = 4*f - 3*i. Solve t + t = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/10 - (41 + -1). Let s = -41 - a. Let h(o) = o**3 - 3*o**2 - 4*o + 4. Let k(n) = -n**3 + 4*n**2 + 5*n - 5. Let j = 2 - 6. Determine j*h(t) + s*k(t).\nAnswer: -t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddedd. What is prob of picking 2 d?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/12 and -151\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1343*w**2 + 53*w + 224. Is y(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 2*d**2 + 5*d. Let t be q(-3). Let u be (t\/18)\/((-1)\/3). Suppose 4*v + 17 = u. Which is the nearest to -0.3? (a) 0.3 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/6 (c) 0.07 (d) -27 (e) 2\/153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + (-85)\/(-10))*8\/(-21). Let g = 0.9 + -0.5. Let d be 2*((-28)\/8 + 1). Which is the closest to -3? (a) f (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (249\/3)\/(1\/1). Suppose 3*m**5 + 6*m**2 + r*m**4 + 9*m**3 + 6*m**3 - 71*m**4 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(171))\/(2*sqrt(144) + sqrt(144)) + -1 + (0 + sqrt(38)\/sqrt(2) - -2*sqrt(19)*5).\nAnswer: -1 + 65*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-99) - 28\/(-33))*990. Let i = j - 353. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from rruu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*v**2 - 25130*b**4 - b**3*v**2 + 29*b**2*v**2 + 52*b**2*v + 2*b wrt b?\nAnswer: -24*b*v**2 - 603120*b - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16595?\nAnswer: 5, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/28 + 236\/(-16). Let o be 234\/14 - (-4)\/14. Let r = o + h. Solve 0 = -m - r*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 290*12\/(-24)*(-2)\/10. Let x(w) be the third derivative of 0*w**6 + 0*w**4 + 0*w**5 - c*w**2 + 0 - w**3 + 9\/70*w**7 + 0*w. Differentiate x(h) wrt h.\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 148 + 4*d - 298.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460 and 12493485.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 43*c - 590*c**4 - 630*c**4 + 2*c**2 + 11*c + 2 + 1217*c**4 - 18*c as z*c**3 + p + a*c**4 + r*c + v*c**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {a: 1, t: 1, s: 1, f: 1, h: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.4 + 7.4. What is the third smallest value in f, -4, 0, 0.014?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399386119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 44023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 187 (b) 3 (c) -1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*p = 28. Calculate the least common multiple of p and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.097, 1096, 1 in descending order.\nAnswer: 1096, 1, -0.097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115\/1043 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6944 and 0.048.\nAnswer: -6943.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-8)\/3*12\/4. Suppose 760 + 296 = u*r. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 11*c - 6. Let i be y(12). Let w be (-9)\/(i\/20)*(-2)\/4. Let s be ((-1)\/(-10))\/(4\/(-30)). What is the biggest value in w, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sawn when four letters picked without replacement from nsnnsnsannnwwswnnsnn?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12352 + 331155?\nAnswer: 343551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 5929.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048194018 to four decimal places.\nAnswer: 0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let x be h(5). Suppose 6*z - z - 75 = 0. Suppose x*d + 3*d + 5*w = -z, d + 5*w = -23. Solve 0*y = y + d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1326 = -13*o + 16*o, 5*r - 2218 = o. What is the smallest common multiple of r and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*y + 4 = 0, 4*h - 4 = -3*y + 6*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -31*i - 2. Let v be l(-2). Let b be 8\/(-30)*(-50)\/v. Let r = -533\/5 - -107. Put r, -0.2, b in decreasing order.\nAnswer: r, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/2 + 0. Let i = 69.849 - -0.151. Let a = i - 68. What is the closest to a in 7, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j + 2*i - 8, 4*i + 9 = j. Let t = 53 - 90. Let g = -23 - t. Calculate the remainder when g is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*z - 13, -2*z + 12 = 4. Let b be u\/7 - (-2)\/2. What is the units digit of (-5)\/(-10) + 3\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 + 2 + -4 + -3 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398800631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -3285, -7290, -12901, -20118?\nAnswer: -28941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 13 - (24 - (20 + -13))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 28 = h, -5*h + 10 = 5*o + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6 - 5) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + 1*sqrt(114)*3)\/(sqrt(726)*-2).\nAnswer: -5*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 146, -9, -0.4, 76\/3, -5, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*p - 7, -6*p + p + 17 = -4*f. Calculate the lowest common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(1\/(-1) - -6). Suppose -36 = 24*h - 33*h. What is the nearest to t in h, -0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11 + c**3 + 16*c - 20*c**2 + 0*c**3 + 2*c**2. Let u be j(17). What are the prime factors of 8\/u - 942\/(-14)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(sqrt(49) + sqrt(147)\/sqrt(3)))\/((sqrt(35)*1)\/sqrt(5)))**2.\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*x**2 + 51981*g**3*x - 2*g**2*x**2 + 14*g**2 + 1826052*x**2 + 6*x wrt x.\nAnswer: 4*g**3 - 4*g**2 + 3652104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 503034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.049 - 0.049. Let j be (-102)\/1326*(-3 + 1 + 0). What is the third biggest value in -4\/5, b, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -22. What is the remainder when (-3)\/u - (-31)\/2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104342 (base 5) in base 2?\nAnswer: -111010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 15452100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0786213022 rounded to 5 decimal places?\nAnswer: 0.07862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123906368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = 4*b + 87 + 18, -b + 5*b = -3*q - 28 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30.2+-0.025\nAnswer: 30.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 278 = -2*t - 7*w, -689 = -5*t - 2*w. What is the remainder when t is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 18997010*s**2 - 37994035*s - 18997020 = 0.\nAnswer: -1, 3799404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -424772550 divided by -6?\nAnswer: 70795425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -277.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 42. Let m = j + 25. Calculate the greatest common divisor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3747048 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29003304 divided by -732.\nAnswer: 39622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 227*h - 2586. Calculate q(13).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 + 223. Which is the third smallest value? (a) 5 (b) s (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**5\/60 + 3*r**2\/2 - 2. Let s(k) be the second derivative of j(k). Let y(i) = 2*i**2. Give s(y(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.15 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33992\/11 - 3092. Find the common denominator of 1*62\/44*2 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00128604 to five dps.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -o - k*m - 6 = 0, 0 = -2*o - 4*m - 0 - 2. Solve -o + 3 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + 2*m**2 - 3*m. Let p be g(2). Let z be 4\/p + (-1126)\/(-22). Let d = -30 + z. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - 5321608?\nAnswer: -5321564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p*p*(p\/p**(-12))\/p)**(-3\/7)*((p*p\/(p*p**(-1\/5))*p)**(-2\/17))**(4\/13) assuming p is positive.\nAnswer: p**(-86806\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481480857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 267 = -17*h - 50 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*y - 22*s + 10*u*y + u - y**2 with respect to y.\nAnswer: s + 10*u - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 22*p**2 + 35*p + 2. Let g be r(-24). Let m = g + -182. Calculate the remainder when m is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 - 2*w - 4. Give s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 12 - 8*z - 6*z + 16*z. List the prime factors of p(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 50*l**3 + 24*l**3.\nAnswer: 78*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b**4 - 4*b + 4*b**4 - 4*b + 9*b - 5 in the form j*b + w*b**3 + h + p*b**4 + y*b**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005572 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275253062 divided by -5193454.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 2*a**3 + 3*a**3 + (-5*a**2 + a**2 - 2*a**2)*(-4*a + a + 4*a + (2*a - 5*a + a)*(6 - 2 - 2) + 7 + 5*a - 7).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 9. Suppose t + 2 = s. Let i = -3 + s. Which is the closest to 2\/11? (a) i (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*h + 0*h - 9043 = 0, -h = 5*s - 15060. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 - 5*f + 3. Suppose 3*x - 8*x = 20. Let i be n(x). Let d(u) = -2*u - 6. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmw when three letters picked without replacement from woggimwo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -630794\nAnswer: -9\/315397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)\/s*s)**(-8\/5)*(s*s\/(s*s\/(s\/s**1))*s)\/(s*s**(-4)\/s)*(s*s\/(s*s**0))**(4\/17)\/(s**0)**25 assuming s is positive.\nAnswer: s**(89\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:17 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((-2)\/(-4*1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*g**2 + 26*g**2 - 15*g**5 + (7*g - 2*g - 3*g)*(5*g**4 - g**4 - 5*g**4).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 23*i - 21*i + 12, 0 = -3*i - 3*c - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16))**42\/(w**(-5)\/(w*w*w\/(w**28*w))) assuming w is positive.\nAnswer: w**(-693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-2 - -2))\/((-9)\/468). Let x be k\/(-5)*30\/(-4). Suppose -x = -z - r, -2*z + 64 = -r - 77. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/40 + u**5\/20 + u**4\/8 - u**3\/2 - 5*u**2. Factor f(i).\nAnswer: -3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/5)*d)**21\/((d*d**(1\/4))\/d)**(-2\/5) assuming d is positive.\nAnswer: d**(337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, f: 7}. What is prob of sequence jjf?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 - 2*b + 3. Let r = 25 + -31. Let c be l(r). Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 1 - (-298 + 286 - -129)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.24*-5.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46002 and 6.\nAnswer: 46002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 = 57166\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 340800275 divided by -5?\nAnswer: -68160055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 - 318*w - 2065. Calculate t(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653*g - 1871*g + 4126 + 47843 = -32607 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 170506170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088973 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23392017)\/(-44) + (-2)\/(-8)*1. Let n = q + 4068363. Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 860\/(-1892) - (2\/(-44)*10 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(213*n**3 - 20*n**3 + 38*n**3)*(2 - 2 - n).\nAnswer: -462*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 11*u - 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 31157943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2644 + -2641. Let x be (-2)\/(-8) + (-81)\/228. Put x, 0.5, g, -3 in ascending order.\nAnswer: -3, x, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1045\/(-47025))\/((-1)\/(-25)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1082777\/30 - 36089. Let c = -17 - -67\/4. What is the common denominator of c and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -426, -430, -434, -438?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4935*m + 4 - 5 + 1 - 2331*m + (3 + 1 - 3)*(-m - 3*m + 6*m) - 4*m + 4*m + 2*m.\nAnswer: -7262*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30288928 or -30288931?\nAnswer: -30288928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {f: 2, e: 1, j: 1, n: 1, g: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -241, -506, -797, -1114?\n\"Answer: -13*n**2 - 226*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/7? (a) 5 (b) 2\/9 (c) 0.2 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-234)*-9)\/(55\/(-88))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6\/17, -2137, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*n**2 - 1038 + 1038)*(n**2 - 3*n**2 + 0*n**2) as z + u*n + p*n**2 + y*n**4 + k*n**3 and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*w**2 + 416*b**3 - 411*b*w**2 wrt w?\nAnswer: -4*b**3*w - 822*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 + 134. Put 6, p, 0 in decreasing order.\nAnswer: 6, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416980039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(567)*-3 - sqrt(567)) + (-3*sqrt(567) - sqrt(567) - sqrt(567))*3 + sqrt(567))*4)**2.\nAnswer: 15552*sqrt(7) + 2939472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:24 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*v + 94, 20 + 161 = 4*w - 3*v. What is the second derivative of -110*r + 46 - w - 60*r**2 wrt r?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 56\/9, 0, -2\/5, -5 in ascending order.\nAnswer: -5, -2\/5, -1\/9, 0, 56\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t + 6. What is c(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864260187?\nAnswer: 3, 7, 839903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350532*a + 575623*a + 1052201*a.\nAnswer: 1277292*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800) - -2*sqrt(3800))\/sqrt(2450).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18348 and -0.02?\nAnswer: 0.0036696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -34582 and -4.\nAnswer: -34586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 5*p + 1. Let a be q(-4). Suppose 3*n - 4 = a*v - 31, 26 = 5*v - 4*n. Suppose -20 = -z + v*z. Put 5, -6, z in descending order.\nAnswer: 5, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724004 is divided by 748.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4 - 77*t + 154*t - 74*t - 3. Suppose 2*l + 2 = -0. Calculate w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*p + 76, -3*x + 0 = -5*p + 85. Calculate the least common multiple of p and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6266077 or 17?\nAnswer: 6266077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1889 - -1044. Let l = -282 - p. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -3 (c) 0.02 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 393390 - 201139. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 12429*r**3 - 24846*r**2.\nAnswer: -3*r**2*(r - 4141)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2\/3*x**2 + 1596*x - 955206 = 0.\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 52 = -5*m. Suppose 0 = 2*w + 10*w - 288. What is the remainder when w is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -57*r - 508. What is i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.629 - 1.673. Is f <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5 + 4*c**2 - 4*c**3 - 4 + 2 - 2*c. Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8718, -17413, -26106, -34797, -43486, -52173, -60858?\n\"Answer: i**2 - 8698*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**8\/840 - g**5\/60 + g**3\/6 - 3*g**2. Let w(y) be the first derivative of v(y). What is the second derivative of w(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = 5*v, 2*k = 4*v + 28 + 28. Suppose -k = -2*y - 0*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8436326 * 2\nAnswer: 1.6872652","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1495 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 32. Suppose -7 = 4*v - 5*w, 0*w - 3*w = -4*v - 17. What is the remainder when z(v) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 3. Let g(y) = -20*y**2 + 9*y - 8. Determine g(s) + 4*x(s).\nAnswer: -20*s**2 - 3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -26*h - 1\/12*h**4 + 0 + 0*h**3 + 0*h**2. Let z(s) = -10*s. Calculate z(j(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, b: 2, g: 4, a: 2}. Give prob of sequence gba.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/3, -1\/5, 6, 2 in increasing order.\nAnswer: -1\/5, 1\/6, 2\/3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18491323753 + 18491323753 - 138*l.\nAnswer: -138*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 3, g: 3, a: 5, d: 7}. What is prob of sequence ggg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/21 - 442*j**4\/21 + 21962*j**3\/21 - 40114*j**2\/7 - 27180*j = 0.\nAnswer: -3, 0, 10, 63, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - 238*t + 135. Let y be h(-75). Calculate the highest common divisor of y and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 + 8 = -2. Solve g + c + 6 = 0, -2*c + y*c + 29 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 10*s**2 - s + 8. Let p be f(5). Solve -w - 5 = -5*b, w + 2 = -4*b - p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + w + 2*w)*(2 - 2 + 2*w**2) + 1 - 1 - w**3 + (0*w + 3*w - 4*w)*(-2*w**2 + w**2 + 3*w**2) to s + o*w**3 + g*w + b*w**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115215 + -2?\nAnswer: -115220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j**2 + 84*j**3 - 118*j**2 + 59*j**2.\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82496281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*s = -418*s + 3*w + 10, -s + 5*w = -22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*v = -90*v + 3364 + 2675. Solve v*l - 38*l + 33 = -4*u, 3*u = -5*l + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 243.6109 millennia?\nAnswer: 2923330.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyayyyayayayypjpyy. What is prob of sequence jp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 4*d + 46 + 84 + 3*d.\nAnswer: -d + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 226527488 divided by 103?\nAnswer: 2199296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = 5*l, -k + 2 = -5*l - 3*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1188)\/sqrt(11)*2.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/(48\/(-224))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x. Let t(p) be the first derivative of -3*p**2\/2 - 5. Determine t(q(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-1818) + (-4824)\/59994.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37208671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 2*u = 47*n + 8 - 2, -3*n + 7 = -4*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 21*h**2 - 88*h + 172. What is x(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 17*c - 14*c. Find the third derivative of -5*w + 0*w - 6*w**3 - 27 + 5*w - 3*w**c + 7*w**3 - 3*w**5 wrt w.\nAnswer: -180*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000010100 + 11?\nAnswer: 1111000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 459 or 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -18. Suppose d*n + 8 = 25*n. Let w(a) = -66*a**3 + 7*a**2 + 7*a - 1. Is w(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6, 10*n - 11*n - p = -6. Solve -3*a + 3*z + 0*z = -3, -n*a = -z - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081690177 rounded to 3 dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396183739?\nAnswer: 7, 127, 613, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:05 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let j(b) = 12*b**2. Let h(y) = -j(y) + 20*k(y). Let r(l) = -403 + 403 + 7*l. What is h(r(v))?\nAnswer: 392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - -0.055. Let f = 21.035 + w. Let m = 22 - f. What is the second biggest value in -5, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/9))**(-7\/4) assuming s is positive.\nAnswer: s**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26614 and 304.\nAnswer: -80.90656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99241531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0.3, -3, -2\/5, -59?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, 4230, 4, 5, -1\/2?\nAnswer: 4230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/3 - 14*i\/3 + 4 = 0. Calculate i.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*o*q**2*x**2 - 2*o*q**2 - 2*o*q*x**2 - 3*o + q*x wrt q?\nAnswer: 426*o*x**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3336090554 - 40\nAnswer: -3336090594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 - 714*j**3*o**3 + 2*j**3*o + 98*j**2*o**3 + 2*j**2 - 2*o**3 wrt j.\nAnswer: 24*j - 4284*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/53)*y\/y**(-2))\/(y**(8\/9))**(-30) assuming y is positive.\nAnswer: y**(4711\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**3 - 10*r**3 - 4*r + 3*r + 16*r**3 to g*r + k*r**3 + f + a*r**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 4917.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -7\/16*j**4 + 1 - 19*j - 3\/160*j**5 + 15\/16*j**3 + 0*j**2. Factor o(v).\nAnswer: -3*v*(v - 1)*(v + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -3 + -35 + (3 - 1). Is 4148\/36 + ((-16)\/i)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 - 7?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j**3 - j - 4*j - 358 + j + 178 + 178 to h*j**2 + n + m*j**3 + w*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 15*q - 71083 = -26*q. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1226650 (base 7) to base 10.\nAnswer: 158452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392931 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395841283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose -7*z + 9 = 3*a - 5*z, 0 = 4*a - 5*z - 35. Suppose -5*b = a*g - 50 + 10, 4*b - 4 = 3*g. Solve g*j - 2 = 4*i + y, 1 = -i - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748 is divided by 1280?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2 - 2*u + 3. Let m be a(-2). Let n(f) = -3 + 0 + 2 - 6*f**m - 2*f. Calculate n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -3 (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 - 42*r**4 + 60818*r**3 + 17*r**2 + 2987*r + 2?\nAnswer: -60*r**2 - 1008*r + 364908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 4. What is x(23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from aattatt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13201640 divided by 660082?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225341399 rounded to 4 dps?\nAnswer: -0.2253","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 119 = -3*g + 46 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 4811 = -3179. Suppose 0 = 2*m + m - 72. Calculate the highest common factor of p and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 + 29582*j**2 + 3157954*j + 3128370 = 0?\nAnswer: -105, -1, 14897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and ((-12)\/(-16))\/((-5)\/(-100)).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrhjjyherj. Give prob of picking 1 r, 1 e, 1 h, and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195212609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t + 0*t + (-11 + 11 - t)*(2 + 0 + 1))*((3*t**2 + 4*t**2 - 5*t**2)*(-3*t**2 + 3*t**2 - t**2) + 0*t**4 - t**4 - t**4 + 3*t**4 - 3*t**4 - t**4).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*q = 4, 0*q = 2*p + q + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.3993323 rounded to 0 decimal places?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i**(-2\/115)\/i)*i*i*i)*i\/(i*i**1))\/(i\/((i**(-12)*i)\/i))**(-31) assuming i is positive.\nAnswer: i**(45538\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2140, -4338, -6540, -8746, -10956, -13170, -15388?\nAnswer: -17610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1595 - -1524. Sort 3, -5, x in decreasing order.\nAnswer: 3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33780\/59 or -572?\nAnswer: -33780\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 - 7*i**4\/12 - i**3 - 4*i**2 + 3*i. Let a be k(8). Calculate the greatest common divisor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 69*w - 36 = -76*w, -w + 3 = -9*p + 4*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 10. Let y be z(-6). Let s(q) = 5*q - 5. Let c be s(y). What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3458 - 2439. Which is greater: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -74*y**2 + 130*y - 19. Let l(t) = 49*t**2 - 91*t + 13. Give -7*a(m) - 10*l(m).\nAnswer: 28*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 79719, 79704, 79679, 79644, 79599, 79544, 79479?\n\"Answer: -5*t**2 + 79724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -12377\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1944.317 millilitres to litres.\nAnswer: 1.944317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/204 + 2155\/170. Factor 1\/2*n**4 + 5*n**3 + 0 + o*n**2 + 0*n.\nAnswer: n**2*(n + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 65*b**2 + 15*b + 498. What is the ten thousands digit of q(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(11\/6)*(l*(l\/l**0)\/l)**(-6) assuming l is positive.\nAnswer: l**(-101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*l - 233*l = -2*d + 11, 2*l + 3 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3032 + 1691. Let g = c - -17469\/13. Factor g*m - 2\/13*m**2 - 162\/13.\nAnswer: -2*(m - 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 11230*x**2 - 15780944*x + 47241816.\nAnswer: -2*(x - 2806)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 33119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 + 5*f**2 + 6*f + 6. Let i be 6\/(-39) - (-200)\/(-52). Let x(y) = -6*y**3 - 4*y**2 - 5*y - 5. Calculate i*l(u) - 5*x(u).\nAnswer: 2*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:21 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 308*t**2 + 1. Let f(o) = 11*o**2 + 512. Calculate f(y(d)).\nAnswer: 1043504*d**4 + 6776*d**2 + 523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2579, -3165, 221, 9565, 26853, 54071, 93205, 146241?\nAnswer: 215165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2 + -3)**2.\nAnswer: 84*sqrt(5) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/2)\/(((-18)\/(-20))\/((-74)\/(-5550)*-45)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/651 and (70\/264 - 24\/132)\/((-4)\/(-536)).\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-420)\/(-567)) + (75\/10)\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 202 = 2*d + 6*w, -4*d - w = -399. Suppose -107*t + d*t + 315 = 0. What is the greatest common divisor of t and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - q**4 - 7*q**4 + 8*q**2 - 10*q**3 - 13*q**2.\nAnswer: -5*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.014 and 0.154?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) + sqrt(833) + 1 + sqrt(833) + -3*(sqrt(833) + -2 - sqrt(833)) + -1 + (-3 + 2*sqrt(833) - sqrt(833)) + sqrt(833))**2.\nAnswer: 420*sqrt(17) + 20861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1676 or 1924?\nAnswer: 1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -84, -2.\nAnswer: -84, -36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2907442.\nAnswer: 1\/1453721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.92 - -0.08. Let y = -7.9 + o. Let m = 194 + -2520\/13. Which is the biggest value? (a) y (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.147+-4760\nAnswer: -4769.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 63*h**6\/10 - 73*h**4\/2 - h - 27. Find the third derivative of w(y) wrt y.\nAnswer: 4536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -12 + 6 + 3 + 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p - 5*p + 1 - 21*p - 36*p - 28*p.\nAnswer: -60*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134367\/2824 - -104\/353. Let t = w + -48. What is the second biggest value in -1\/7, t, -3\/4, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35362270 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 2. Let r be m(-10). Let a = 16 + r. Is a != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/30*(-5)\/2*-12*(-5)\/(-2160)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 515 (base 8) to base 12\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - z, -103*z = b - 100*z + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 6 = 0. Suppose 20 = u*v + v. Let w(o) = 181*o - 525. Calculate the remainder when w(3) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -744409 or -744408?\nAnswer: -744408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -2. Suppose 2*k + 24 = 2*b, -3*k + 2*k = -n*b + 27. Suppose -b = -2*c - 3*l, 2*c + 4*l - 7*l = -15. Solve 2*q - 4 + c = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235665787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 k when three letters picked without replacement from {m: 2, v: 1, q: 4, r: 1, i: 7, k: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y - 15*y + 8*y**3)*(-y - 4*y + 4*y) - 2*y**4 + 2*y - 2*y.\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 365, 398, 465, 578, 749, 990?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92893400 rounded to the nearest 100000?\nAnswer: -92900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-2 + 1)*3. Suppose -2*h + 2 = -l. Suppose -2*w - 5*o + 28 = -w, -4 = -h*w + 3*o. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -w. Suppose 0 = 5*n + 25, 5*n = 2*l - w*l + 2559. Suppose -3*k + 4*s = -487, -3*s - l = -4*k - s. Round k to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from meepe.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 32956*s. Let m(t) = -t**2. What is q(m(u))?\nAnswer: -32956*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-3 + (-2 + (-4 + sqrt(20)\/sqrt(4) + sqrt(5) + sqrt(5))**2 - (4*sqrt(15)\/sqrt(3)*-5)**2))*1.\nAnswer: -9722 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256) + (sqrt(256) - (sqrt(256) - sqrt(256)*-2)))\/(sqrt(2) + (sqrt(8)*6 - sqrt(2)) + sqrt(2)).\nAnswer: -8*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/79, 3\/10, 358.6.\nAnswer: 6\/79, 3\/10, 358.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 78 - 82. Suppose 3*g + g + 5*t = 5, 12 = -j*t. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 69 = -r. What is the remainder when 87 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-8\/5))**(-1)\/(o**(2\/21))**(-2\/61))**(-11) assuming o is positive.\nAnswer: o**(-42493\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - f - 15 + 2, -3*f = -l + 9. Suppose -6*i = 3*g - i - 1942, 3*i - l = 0. Is -1 + g - (-3)\/(18\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 22 - 7 + 4*j + 21 - 15*j - 8. Suppose 9 = -k + 4*y - 3, 3*y - 14 = 2*k. What is the tens digit of f(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-4)*0)\/(-2). Suppose -3*s + 5*x + 1319 = w, -7 = x - 6. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2927 (base 11) in base 3?\nAnswer: -12012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from fotewetofezooeeow.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -w + 176. List the prime factors of w.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522262?\nAnswer: 2, 13, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(-18)\/((l**(-1)\/l)\/l)**(-12))\/(l**(-3)*l*l\/l**3)**(-2\/7) assuming l is positive.\nAnswer: l**(-512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 172, 2\/9, -0.836, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 4. Let z = -19 + 37. Calculate the least common multiple of z and 2\/(-7) + (-16)\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*z**3 - 3*z**2 + 7*z + 14210 wrt z?\nAnswer: 162*z**2 - 6*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u - 186 = 0. Let x = u - -202. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/11 and -2\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s. Let p(q) be the second derivative of 116*q**4\/3 + 9*q + 68. Determine m(p(d)).\nAnswer: -2784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 10*g**2 + 3*g - 1. Let s(j) = 4*j**3 - j + 1. Let i(n) = 2*s(n) - u(n). Calculate the remainder when i(-11) is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011201 (base 3) in base 16?\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1305 + 4748. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/947 (b) 1 (c) 5709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 8. Let r(g) be the first derivative of g**3\/3 + 5*g**2\/2 + 2. What is r(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 12. Let x be n(10). Suppose x*s - 14*s - 92 = 0. Let u = s - 2. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 10 + 64*n - 67*n.\nAnswer: -3*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25818.6 + -25822. Put b, -0.48, 3, 1\/2 in descending order.\nAnswer: 3, 1\/2, -0.48, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -549, -4147, -13771, -32391, -62977, -108499, -171927, -256231?\n\"Answer: -495*n**3 - 43*n**2 - 4*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-37)\/(m\/((m**(2\/3)*m)\/m)))\/(m**(-8\/7)*m**24\/m))**27 assuming m is positive.\nAnswer: m**(-11187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -18 (c) -0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85416 is divided by 647?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 3*l - 3*l)*(-3*l**2 + 4*l**2 - 11*l**2).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -5 + 3 - 1\/(-1). Suppose 2 = -5*u + 2*b + 19, 7 = d*u - 2*b. Suppose 4*j - 100 = u*x + 103, 0 = -4*x + 4. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, -121, -176, -233, -292?\n\"Answer: -y**2 - 50*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -25. Let c(f) = -3*f**3 - 2*f**2 + f + 3. Does 17 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h - 4. Let p be b(2). Let t = p - 12. Solve -t*f - 5*y + 11 = 0, 4*f - y = 1 + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {b: 17, h: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211891 to the power of 1\/2, to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -321660, -2 in ascending order.\nAnswer: -321660, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3712*y**2. Let j(b) = -225*b**2. Determine -7*g(z) - 116*j(z).\nAnswer: 116*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95*(-126)\/1596*(-5)\/390*-4?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaq when four letters picked without replacement from aaqqaqaaaaaaaaa.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4 + 9*d**3 + 79*d**2 wrt d?\nAnswer: 24*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0, 8, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 2*k - k + (2*k - 4 + 4 + (-3*k - k + 7*k)*(-29159 + 12775 + 12737))*(5 - 3 + 0) - 2*k - 1 + 1 to w*k + s and give w.\nAnswer: -21883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r - 484. Calculate w(26).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28982613 to the nearest integer?\nAnswer: 5384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-5)*2\/2*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let v be (80\/8 - 6)\/(2\/16). Suppose 32 = -11*a + v. Solve a = b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8781*m - 52686. Let u be q(-6). Let d(r) = 2*r - 6. Let v be d(4). Solve u*i - 20 = -5*z + i, 5*z = v*i + 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-28124015\nAnswer: 14062007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21825767, -43651542, -65477329, -87303134, -109128963, -130954822, -152780717?\nAnswer: -174606654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8940 and 4035300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 + 61*s + 3. Give v(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-2)\/(3 - 2)). Suppose z = -4*u - 16 + 72. Let t(i) = 2*i**2 - 262*i + 1044. Let m be t(4). Calculate the highest common factor of u and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose 5*m = -3*i + 296, q*m + m - 508 = -5*i. What is the remainder when i is divided by (-2)\/(-5) + (-384)\/(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 1088 + 262 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i = 71. Let k = i + -31. Suppose -k = -4*d + 20. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 12, 4*z = -8*n + 12*n + 68. Calculate the remainder when 118 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*i**3*r - 541*i**3 - 6*i*r - 4*r + 1 with respect to r.\nAnswer: -19*i**3 - 6*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/29, 0.06, -5, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-7) - 4\/14. Suppose b*u - 15 = l, -3*u - 2*l - 1 = -4. Let d(a) = a. Let k(z) = z**2 + z - 3. Let p(w) = 4*d(w) - k(w). What is p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8 - -11)*(-1)\/(-3))\/1. Solve -2*i = -i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174233 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -z - 6*g, 3*g - 29 = -306*z + 310*z - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3124\/3 + -1031. Let o = 2\/1899 + 74047\/13293. What is the common denominator of a and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:18 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1)*f)\/f)\/f)**(8\/7)*(f*f\/f**(-6))\/f*f**(2\/11))\/(f*f**(-3\/5)*f**6\/f*(f\/(f*f*f*f**(3\/5)))\/f**(-2\/17)) assuming f is positive.\nAnswer: f**(12949\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 51 and 1678322006.38.\nAnswer: 1678322057.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 68 - 153. What are the prime factors of g?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.84 - -0.54. Let r = 0.14 - -8.86. Let y = r + z. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h + 23*h + 6*h**2 - 9 - 5. Is m(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aooazaoqozaaz. Give prob of sequence zaoa.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 6 in decreasing order.\nAnswer: 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2457799?\nAnswer: 37, 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**5 - c**4 + c**3 - c + 1. Let y(q) = -8*q**5 - 2*q**4 + 18*q**3 - 4*q**2 - 20*q + 6. Let t(w) = 20*l(w) - 2*y(w). Factor t(f).\nAnswer: -4*(f - 1)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 + 9)*(-7 + 3 + 3)*(35 - 17 + 20)*(-2 + 2 + d).\nAnswer: 228*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 - 1980 = 1334*i + 161*i + 678 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/11)\/(2\/(-9)). Suppose 0 = 6*b - 4*b - 10. Suppose -7*p + 26 = b. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/(-4) + (-1)\/4. Let b = o + -10. Let r(p) = 3*p + 4. Let d(u) = 3*u + 4. Let v(q) = -6*d(q) + 5*r(q). Give v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -104.6. Let s = -35 + k. Let t = s - -5.93. What is t rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:44 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 13 + 6 - 5*z**3 + 4*z**3 + 3*z - 8*z**2 + 14*z. Calculate the remainder when a(-11) is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:13 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 498, 1300, 2468?\n\"Answer: 183*x**2 - 113*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.53 + -16.47. Let p be ((-2)\/44)\/(1\/(-2)). Put p, -0.01, u in descending order.\nAnswer: p, u, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.32? (a) 0.07 (b) -3 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfpnnbbnp. What is prob of sequence pb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 129 + 59 - 11*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/200 - f**5\/20 - f**4\/5 - 2*f**3\/5 - 17*f**2. Determine x so that k(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -12286588.\nAnswer: -18\/3071647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -155. Factor -93 + f*l**3 - 91 - 30*l**2 + 5*l + 184.\nAnswer: 5*l*(3*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-8*v - 48*v - 9*v - 17*v).\nAnswer: -164*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 395516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155808 - -154247.77. Let f = -1571 - u. Round f to 1 decimal place.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2.8. Let f = j - 0.2. What is the closest to f in -1\/2, 0.3, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*m*w**2 - m*w - 2*m + 11*w**5 - 31 wrt w?\nAnswer: -34*m + 220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k + k)*(2 - 1 - 3)*(3*k - 5*k + 4*k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285097 divided by -6?\nAnswer: -3285097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -2 - (-5 - -3). Suppose q = 5*f - 3 - 12. Suppose -z - 2*h = -f - 3, -5*h = 15. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -66, -4, 114, 306?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**6\/10 - 33*s**5\/20 - s**4\/3 + 2*s**3 + 37*s + 1. Find the third derivative of v(p) wrt p.\nAnswer: 72*p - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 0.035, 2\/13?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0517 - 0.3\nAnswer: -0.3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 3 - 4 + 11 - 6*h. Let j(n) = 8*n - 5. Calculate 5*j(k) + 6*v(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*r + 20, 2*n + 2*n = 20. Suppose -r*s = -0*s + 3*k - 19, 2*s + 4*k = 2. Solve s*p + 0 = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46763786*f*z - 2536*f + 7192 wrt z?\nAnswer: 46763786*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.37 minus -0.36485851?\nAnswer: -9.00514149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -1, 2.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 2, u: 4, a: 5}. Give prob of sequence aa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115705, 115664, 115623, 115582, 115541, 115500?\n\"Answer: -41*t + 115746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/56)\/(13\/52)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 408156399576.\nAnswer: 408156399567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53767 is divided by 286.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -432. Let a(l) = -l**3 + 12*l**2 + 814*l - 6624. Let i be a(8). What is the greatest common factor of i and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = -41*r + 15582. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 13*w + 2*b, -w + 4*b + 7 + 1 = 28 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u - 77. Let r(y) = y - 15. Let t(g) = h(g) - 4*r(g). Suppose -v + 3 = -3. Let a(p) = 1 + 3 + 2 - 2*p. What is v*t(z) + 17*a(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -844, -4, 111 in ascending order.\nAnswer: -844, -4, -1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*r - 20, 2*r + 7 = 2*g - 5. Let n(k) = -k + 12. Let b be n(g). Suppose -b*s = -7*s - 3. Solve -s*h - 8 + 0 = -w, -5*w - h = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(12\/(-40)). Let o be u\/(-22) + 207\/11. What is the greatest common divisor of o and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/104*(-8)\/(-26). Let f = -2877\/338 - l. Let v = f - -8. Sort v, 1, -2.\nAnswer: -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 37999.643.\nAnswer: -37998.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -68*p**2 + p + 1. What is t(1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/88 + (-9 - -9) + -3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100023520 a multiple of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 2 (c) 0 (d) -1\/3 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 + 86 + -83 + -5 + (1 - -45).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 5*g + 36 = 37*u, -21 = -3*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, r: 8, x: 2}. Give prob of sequence ggr.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -541, -812, -1083, -1354, -1625?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7369 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -80.48.\nAnswer: -79.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 65, 92, 119, 146?\n\"Answer: 27*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(147) - (sqrt(147) - (sqrt(147) + -1 + sqrt(147))))**2 + 4.\nAnswer: -140*sqrt(3) + 2949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 3*t**2 - 16*t + 54. Let c be w(3). Solve -3*r - 17 = -32*v + 27*v, 2*v = -2*r - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 27.\nAnswer: -97\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2*u)\/(u\/u**1))**1 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.95 + 1.2. Round g to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 24*x**2 - 37*x - 13*x**2 - 8*x**2 - 7*x**2 - 5. Suppose -3*m - m + 36 = 0. What is the remainder when m is divided by v(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1213010031 (base 5) to base 6\nAnswer: -141144452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5699, 5684, 5671, 5660, 5651?\n\"Answer: u**2 - 18*u + 5716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 - (4 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boobiiio. What is prob of picking 1 i and 2 b?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5)*5\/4. Let i = -13.69 - 0.31. Let o = -13.6 - i. Sort -0.2, o, p.\nAnswer: -0.2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 12. Let d be y(5). Suppose -3*q = b + 2*b - 162, d*q - 12 = 0. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 183 = 4*t, z = -2*z - 5*t - 95. Is z*(1 - 16\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - r**4 - 2*r**4)*(6*r + 1 - 3 + 3).\nAnswer: -12*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191 - 5?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293051815 divided by 235.\nAnswer: -1247029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1698226 years?\nAnswer: 0.0001698226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5 - 95*h**4\/4 + 575*h**3\/3 - 1125*h**2\/2 - 58. Factor r(f).\nAnswer: 5*f*(f - 9)*(f - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*d**4*y - 395*d**4 - 3*d**3*y - 2*d**3 - 30424*d**2*y + d**2 + d*y + 24*d wrt d?\nAnswer: 888*d*y - 9480*d - 18*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*i + 6, -2*i - 3 = -3*s + 4*s. Suppose i*v = 15*v - 75. Let z = 0 + 2. Solve 0 = v*m + 8 + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**2 - 22. Let w(k) = 14*k**2 - 33. Determine -8*v(j) + 5*w(j).\nAnswer: -2*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/15, 1\/8, -10\/19, 4\/3, -0.06?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 - 80*h**2 - 5*h**3 + 80*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 48*s - 46. What is h(18)?\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -448\/99 - 13\/66. Calculate the common denominator of s and (-1*(-61)\/(-5))\/(154\/55).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877*x + 878*x - 6 = 2*t, 3*t + 9 = 4*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -27 = x + 5*d, s*x + 2*x = 5*d + 21. Let u = -42 + 295\/7. What is the closest to 0 in u, 3, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*35\/(-1008)*118\/(-295)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 738846 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*p - 6*p + 259, 0 = 2*h - p - 490. Let t = -414 + 662. Is h greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 96*q - 2092. Give p(-72).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/1059757?\nAnswer: 10\/1059757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2594.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -61, -4, 0.4 in descending order.\nAnswer: 4, 0.4, -1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:59 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13376 = -10*x - 6*x. Let c = 852 + x. Solve 3*y - c + 25 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/2*(-4)\/((-112)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -53. List the prime factors of j\/(3 + -4) - 1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2510404 (base 6) to base 2.\nAnswer: -100000101000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 - b**2)*(25*b + 112*b - 387*b - 121*b).\nAnswer: -1484*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15460 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -378dd (base 16) in base 8?\nAnswer: -674335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.1, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -16. Suppose 0 = -2*x + p + 1. Find the second derivative of -8*g**x + 8*g**5 + 2*g + g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*2\/(-6)*-3. Let m = -6 + n. Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -15*h**3 - 2*h**2 + 4*h - 2. Let q be w(2). Suppose -3*y = -2*l - 112 - 153, -3*l = -2*y + 380. Let o = l - q. Solve 5*m - m + 12 = o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1442\/25 + 4351\/75. Let o be 4\/(-8)*(-2)\/4. What is the closest to o in -1\/6, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/525 - x**6\/200 - 2*x**5\/75 + x**4\/10 + 11890*x**2. Determine u so that n(u) = 0.\nAnswer: -2, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75977885 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3161728 and 4216?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-7 + 10 - 32) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**(3\/10)\/(g*g**(-7)*g**7))\/((g**1*g\/(g*g**(-8)))\/(g**1\/g)**29) assuming g is positive.\nAnswer: g**(-197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -28*a + 2. Let s(x) = 0 - 2 + 2 + 0 + 1 + 3*x. Let u(v) = -d(v) - 6*s(v). Let q(h) = -h. Calculate u(q(j)).\nAnswer: -10*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + 33*i**4 - 4*i**4)*(-78 - 25 + 21).\nAnswer: -2050*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34 = -2*f, -5*c - 15 = 3*f - 106. Calculate the least common multiple of 10 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7785862 minutes to hours.\nAnswer: 0.04630977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - -171.1. Let z = 1976.51 + -1985. Let w = z - j. Round w to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/38 and -43\/58.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15*z - 2*z**2 - 1 + 6*z.\nAnswer: -2*z**2 + 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*j - 4*k, 4*k + 96 = -2*j + 134 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1916*o**2*z**2 + 2*o**2*z - 148*o**2 - z**2 wrt z.\nAnswer: -3832*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 - 3. Let r be (2 - 42\/15)*150\/5. Let p be r\/16*(-1)\/(-12). Put j, 2, p in decreasing order.\nAnswer: 2, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:58 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + 0. Let u be (2724\/9)\/4 - 3. Let o = t - u. Which is the third biggest value? (a) -1 (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(48)\/sqrt(6)) + (2*sqrt(612))**2.\nAnswer: sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -1. Let a be v + (6\/(-3) - -3). Let w be (a + -14)\/(-1 + 0). Solve w = k - 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5986, 5004, 3358, 1048, -1926, -5564?\nAnswer: -9866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2995*-2030.\nAnswer: -8727.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 624.6577 centuries?\nAnswer: 62465.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1104323 and 265479862.\nAnswer: 266584185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u**2. Let y(m) = -5905*m**2. Give y(q(v)).\nAnswer: -13044145*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 2*o**2 - 3*o - 1. Let l = -1 - 1. Let u be b(l). Suppose 21 = f + u. Solve -3*n - 1 = -f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331164351012*n - 331164351012*n + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 3 (c) -35.5 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.87 + 1.87. Let k = y + 8.9. What is the nearest to k in 2\/5, 1.2, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -17, -27, -39, -53, -69?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469190?\nAnswer: 2, 3, 5, 11, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*p - 369*p = 9*p - 6174 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40400, -3 in descending order.\nAnswer: 0, -3, -40400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -6*q + 0 - 2*q**2 + 1\/6*q**4 - 1\/6*q**3. Calculate the remainder when 43 is divided by v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + m + 15 = -3*m, -5*i + 25 = m. Let t(b) be the first derivative of -b**4\/4 + 5*b**3\/3 + 3*b**2\/2 - 6*b - 15. Give t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z - 2*z + 3*z. Suppose 17*d - 19*d = v - 6, -3*d - 5*v = -16. Let k(a) = -620 + 620 + d*a. Give x(k(c)).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5fc88 (base 16) to base 7\nAnswer: -3222546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:41 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 t, and 1 k when four letters picked without replacement from {h: 5, d: 4, t: 1, k: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 1689693?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 81 = -2*a. What is the remainder when 105 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-31) + (33934\/(-33573))\/(2\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190932614 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -43\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-18 - -1) + (-5 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 15. Let n(f) be the first derivative of -2\/3*f**3 + 0*f + 23 + 0*f**2. What is n(v(i))?\nAnswer: -2*i**4 + 60*i**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579207815192*k**2 - 4*k**3 - 1579207815192*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6 - 2*z + z**2 - 5*z**3 + 7*z**2 + z. Let m(h) = -h**3 + h**2 - 1. Suppose -w + f - 3 = -2*f, -5*w = 5*f - 45. Calculate w*m(n) - d(n).\nAnswer: -n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*f. Let x(u) be the second derivative of -1\/18*u**6 + 1\/30*u**5 - 1\/18*u**7 + 0 + 0*u**3 - 2*u + 0*u**2 + 0*u**f. Factor x(c).\nAnswer: -c**3*(c + 1)*(7*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*(-282)\/(-3). Let g = -1 - 3. Find the common denominator of -6 - g - v\/14 and 69\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let i be 6\/(-2)*(-30)\/(-9). Let x be g(i). Suppose -3*r + 6 = -x*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*d = -0*d, -t - 3 = 4*d. Let g be ((-190)\/(-57))\/(-2 - (-16)\/6). Sort 6, t, g in descending order.\nAnswer: 6, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:57 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 131. Let s(r) = -r**3 + r**2 - 1. Let u(w) = 3*w**3 - 4*w**2 + w + 5. Give a*u(c) - 4*s(c).\nAnswer: c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 3 - 37*-4 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, i: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f + 2*f)*(15*f + 153*f + 116*f).\nAnswer: -568*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 2*h - 1. Let q = 5 + -7. What is the units digit of b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*f - 42 = 0, 28 = -4*q + 2*q - 4*f. Let u = q - -44\/3. Factor u*w**2 - 1\/3 + 1\/3*w.\nAnswer: (w + 1)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9869 is divided by 154?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1973*l + 9236*l + 8757*l + 4652*l as y + t*l and give t.\nAnswer: 24618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40278.47 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 17*h - 394. Suppose 0 = -c - h + 548. Suppose 567 = 9*d - c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(2\/7))*g**(2\/17))\/(g**(2\/5))**(10\/17) assuming g is positive.\nAnswer: g**(139\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7519365 divided by 5\nAnswer: 1503873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i**3*y**2 - 2*i**3*y - 14*i*y**3 - 145*y wrt y.\nAnswer: -50*i**3 - 84*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let s(c) = -21*c - 84. Let g be s(-4). Let x(f) be the third derivative of 4*f**2 + 0 + 0*f**3 + g*f + 11\/24*f**4. Calculate x(q(l)).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5123 and 5.\nAnswer: 25615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 242252800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101125188 - -8733.\nAnswer: -101116455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -394, -1673, -3798, -6763, -10562, -15189, -20638, -26903?\n\"Answer: w**3 - 429*w**2 + w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (219\/(-27) - -7)*9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiyyiqiyiivywzvzyiw. Give prob of sequence iizq.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196189672 divided by 202.\nAnswer: 971236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.356 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.1836 months to decades.\nAnswer: 6.22653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-90)*10)\/(5\/(-6)). Factor 0*s**2 + 9\/5*s - 3\/5*s**3 - a.\nAnswer: -3*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 + 0.23. Let y = 4.92 + g. Let o = 5.009 - y. Round o to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 6*f\/7.\nAnswer: -2*f*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:29 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 5*o**2 - 2*o. Let c(u) = -u**2 - u. Calculate a(i) - 5*c(i).\nAnswer: -2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -15*j - 8. Let c(k) = 3 + 3*k**2 + 0*k**3 + 3*k + 4*k**3 + 0*k**3. Let t(i) = -11*i**3 - 8*i**2 - 8*i - 8. Give j*c(q) - 3*t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604293, -1208571, -1812849, -2417127?\nAnswer: -3021405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2117597 divided by -4\nAnswer: -2117597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2300 and 196.\nAnswer: 112700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 241377876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 3*q**3 + 0*q**3 - 27*q**3.\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*r - 13*r. Solve -4*a = p - 18 + r, 2*a + p - 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/1275 + 13888\/816.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + u - 2, -5*g + 303*u + 17 = 299*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71023, -284071, -639151, -1136263, -1775407?\nAnswer: -2556583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.24 - -22.8. Let g = 69.34 + l. What is g rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(44)\/sqrt(4) + -4 + (sqrt(165)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: -64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:36 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1174 and 54.\nAnswer: 31698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 165. Let c be (d\/14)\/((-2)\/(-7))*2. Solve 3*x - c = 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 42. Let u be 42 - (3 + -4)*i. Let c = u - 11. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, q: 3, t: 3, m: 3, k: 4}. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggoogggg. What is prob of picking 3 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 34 + 25. Let i(h) = 8*h + 5. Let x(r) = r + 1. Let n(a) = i(a) - 6*x(a). What is n(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 21. Let m be (36\/90)\/((-2)\/o). Find the third derivative of 20*h**4 - 19*h**4 - 7*h**2 - 1 + m wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 + 4*l**2)*(-7 - 3*l + 8 + 2).\nAnswer: -9*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (20 + 31 - 21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2707529 and 4653.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1186?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 + 5*z**4\/24 + z**3 - 22*z**2. Determine c, given that v(c) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 2*f, 2*f + f - 15 = -5*h. Suppose 0 = -l - 3, l - 11 + 4 = 5*z. Let i = h + z. Solve i*v - 25 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -4)\/1*-23. Suppose -3*t - 2*o - 2*o = -l, t = o + 3. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98382, 98380, 98378, 98376?\n\"Answer: -2*p + 98384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 4*p**3 + 1764*p**2 - 1764*p = 0. Calculate p.\nAnswer: -21, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37469371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351404?\nAnswer: 2, 1337851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u + 11 - 11 + (-3 + 3 + 3)*(2*u - 3*u + 0*u) + 54 + 7 - 5 + 2*u in the form g*u + f and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l - 2. Let u = -7 - -1. Let w be b(u). Let n = w - -36. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44448015*b**3*q**3 - 3*b**3 + 344613*b*q**2 + 2*q wrt q.\nAnswer: 266688090*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*f + 2, -f - 5*l + 1 = -3*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/17888 and 33\/5644.\nAnswer: 25239968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**4 + 5*s**4 + 0*s**4 - 6*s**3 + 2*s in the form l*s**3 + m*s**2 + q*s**4 + f*s + t and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -596 + 1037. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85\/7 in -0.2, 1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(55)\/sqrt(125)) + -2 + (sqrt(66)\/(sqrt(6)*-2) - ((sqrt(11) - sqrt(176)) + -3)).\nAnswer: 1 + 33*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/77 + -43\/154. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 1 - 1484*t**2 + 0*t + 0*t + 1843*t**2. What is the tens digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 9*q**2 - 2*q + 18. Let x be p(9). Suppose x = 5*h - 3945 - 5290. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96545306*c*g**2 + 2709*c*g - 4546*g + 2 wrt g.\nAnswer: 193090612*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 549\/2 - 15\/(-6). Suppose -3*z + 10*a = 8*a - 463, 0 = 2*z + 5*a - x. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -16*z + 194. Suppose 808 = z*l - 2715. List the prime factors of l.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.198 and 38?\nAnswer: -7.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4 + 27 = 3*d, 8361*d - 8365*d - 4*l = -4 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-5 + -1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454418 divided by -2.\nAnswer: 227209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**13)**(-41) assuming l is positive.\nAnswer: l**(1066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 2*z, 2*n = -n - 4*z - 6. Let d be (-2 - -1)\/(3\/n). Solve 2*y + t = 0, 4*y + 20 = t + d*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014588770563 rounded to 6 dps?\nAnswer: -0.001459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -415? (a) -0.3 (b) -3 (c) -3203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o - 15. Let f(b) = b + 1. Let i(j) = -6*f(j) - g(j). Let c be 6 + (-14 + -2)*2\/(-8). Let w(d) = c + 11 + d - 19. What is 2*i(p) - 9*w(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 530809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 14?\nAnswer: 33\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = 2. Let w = t - -9. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 3325 = 0. Suppose -k - 4*k + b = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3629705*g**2. Let s(f) = 3*f. Determine h(s(v)).\nAnswer: 32667345*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v + 2. Calculate y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232299*t**2 - 2464555*t**2 + 1232255*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22688304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o + 2*o - 32*o)*(-5 + 1 + 1).\nAnswer: 186*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(1*(sqrt(2) - sqrt(32))) + -3 + 6*(sqrt(272) + sqrt(272) + sqrt(272) + 5*-3*sqrt(272) + sqrt(272) + sqrt(272)))**2*3.\nAnswer: 4326*sqrt(17) + 8837378\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 8, f: 3, p: 4}. Give prob of picking 1 z and 2 p.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 7*t + 15, 5*t = -120*n + 118*n - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37990 (base 12) in base 4?\nAnswer: 102132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k + 46*k + 1479 = -383. Let j(w) = -w**2 - 16*w + 58. Give j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -3, -32\/9, 579, -5, 244?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10853771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 6*q + 40. Does 10 divide 1\/q*-26*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8470767 rounded to 3 decimal places?\nAnswer: 26.847","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7\/4)\/s**13*((s*s**(1\/7))\/s)\/(s\/(s**(-16)\/s*s)) assuming s is positive.\nAnswer: s**(-885\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1412 = -3*w + j, 5*w - 9*w + 3*j + 1891 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 + 9. Let b(d) = -10*d**2. What is b(i(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let z(v) = -2*v. Let o(i) = -i. Suppose h = -h - 6. Let n(l) = h*o(l) + z(l). Give r(n(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 25*x**2 - 2030*x - 30080 = 0?\nAnswer: -64\/5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2 + 2 - 5 + 2 + (-2 + 2 + 2)*(3 - 2 + 0) + 0 + 3 - 2 + 0 - 2 + 1 - 2 - 1 + 1 + 1 + 0 + 0)*(-n - 2*n + n) to the form c*n + j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o + 2*o**3 - 19*o**2 - 4\/15*o**5 - 1\/6*o**4 + 0. Determine q so that l(q) = 0.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - 2) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1043)\/(-4470) + (-5)\/(-600)*4.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)\/t*t*t*t**(1\/19)\/t*t**(-1\/9)\/(t**(1\/2)\/t))**23 assuming t is positive.\nAnswer: t**(25691\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 67 + 61 + 70 - 198 - 6*n. Let c(g) = 32*g - 5. Determine w(c(q)).\nAnswer: -192*q + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1998 + 1397. Let c = b + 600.99. Suppose -p + 3 = -4*p. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**3 - 2*i**2 + 11*i - 2643.\nAnswer: 18*i**2 - 4*i + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -5\/22 (c) -2\/7 (d) -9 (e) 0.3 (f) 26\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 2267060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1132*l - 5708. Calculate s(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2322)\/936)\/43*16\/18*9?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 41474*w - 430023169.\nAnswer: -(w - 20737)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/3 - 2*d**2 - 2*d - 1. Suppose 6*o + 29*o - 175 = 0. Determine f(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - -2.81. Sort 0, -2\/7, h in ascending order.\nAnswer: -2\/7, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 89*w**5\/6 + 131*w**4\/12 + w**3\/3 + 22*w**2 - w. What is the second derivative of z(l) wrt l?\nAnswer: 1780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i - 21 = -2*a, 0 = -4*a - 5*i - 3. Suppose -5*w - 15 = 0, -a*k - w = -k + 43. List the prime factors of ((-59)\/(-4))\/((-5)\/k).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7521 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*t**2 + 1056*t - 527*t - 529*t.\nAnswer: -123*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 25, 34, 43, 52, 61?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2667374, -2667373, -2667372, -2667371, -2667370, -2667369?\n\"Answer: a - 2667375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 2:42 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 14*o - 51. Solve -m = -4*s + 18 + o, 9 = s - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jqmjqsuuqbj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(-6*sqrt(1377) + sqrt(1377)) + (-1*sqrt(2448) - (sqrt(119) + sqrt(119)*4 - sqrt(119))\/sqrt(7)))**2.\nAnswer: 987377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -98, -95?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose -8 + d = -w. Which is the nearest to -0.1? (a) w (b) 5\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327677550 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*i**2 - 18*c**2*j**3 + 2*c**2*j + 6*c*i**2*j**2 + 2*c*i*j**3 + 3*c*i wrt c?\nAnswer: 20*i**2 - 36*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0789 less than -4?\nAnswer: -3.9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 16) to base 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + -3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 6. Let s be p(11). Suppose s = 4*u + 21. Let z = u + 6. Let c(d) = -4*d + 1. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) -14 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/21*-1*-1). Let l = 21 + a. What is the remainder when 69 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - 8*3\/28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, k: 3, w: 4, o: 4, q: 3}. Give prob of picking 1 z and 1 k.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126432738?\nAnswer: 2, 47, 769, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:52 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1322 - -161. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2.414?\nAnswer: 2.414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 times 234?\nAnswer: -19188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 + 3*r - 13. Let q be d(5). Suppose -4*k + 4*s + 10 = -q*k, 4*s - 5 = -k. Solve -7*o = -3*o + k*l - 9, -2*l + 4 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = -5*p + 570, 535 = 5*p - 4*l. What is p rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2220*y**5 - 456*y**2 - 3*y wrt y?\nAnswer: 133200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/14)\/((-2)\/(-10)))\/(365\/876).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4298)\/105)\/((-72)\/10). Let y = q - 13\/216. What is the common denominator of y and 113\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/12*u**4 + 2*u**2 + 0*u**3 + 0*u + 0. Let t(j) = 2*j. Determine w(t(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-10)*t)\/t)\/((t**(-16)*t)\/t))\/((t\/(t**(-1\/5)\/t))\/(t\/(((t**(-15)*t)\/t)\/t)*t)))**(-5\/16) assuming t is positive.\nAnswer: t**(-109\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42414, -42414, -42406, -42384, -42342?\n\"Answer: u**3 - 2*u**2 - u - 42412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -1, 1, 41 in decreasing order.\nAnswer: 41, 33, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 + -3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {f: 2, n: 5, k: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 32*c - 15*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 2, f: 2}. Give prob of sequence fww.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -0.27. Which is smaller: 18\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50436*a**2 + 125316*a**2 - 1 + 107048*a**2.\nAnswer: 282800*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 3 - o**4 + 1 - 3*o - 3*o**4 to the form m*o + f*o**3 + n*o**2 + i + b*o**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 5 (c) 2\/2141647\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 14 + 5 - 1902*c**2 + 3 as r*c + j + a*c**2 and give a.\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 3*z**2 + 3*z**2 - 2*z**3 + 3*z**2 - 3*z**2 + (4 - 2 - 3)*(49 + 31 - 10)*(z - 2*z**3 - z) in the form a*z**3 + o*z + p*z**2 + t and give a.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 257855753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*v - 514*i**3 + 3*i**2*v - 29*i*v wrt i.\nAnswer: 6*v - 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 16. Suppose 151*a = 147*a - 16. Sort -0.5, k, a in decreasing order.\nAnswer: k, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 53 - 153. Let t(c) = -6*c - 97. Calculate the remainder when 160 is divided by t(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, n: 1, t: 1, z: 1}. Give prob of sequence uy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v - 64. Let z = v - -27. What is the remainder when 21 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*d = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 79 = 7*b + 3*z, -301*z + 308*z = -3*b + 183 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192738, 192736, 192734?\nAnswer: 192732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let x(k) be the second derivative of 85*k**4\/3 + 3*k + 8. Determine x(d(t)).\nAnswer: 1360*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.883349 - 68.883415. Let c = y + 32. What is c rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -15. Let n be (-4)\/14 - 205\/(-7). Suppose 5*g - 6 = n. What is the remainder when z is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/11 (b) -0.6 (c) 2\/3123 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**6*f*f\/f**7*f*f**(-2\/9)\/(f\/((f*f\/f**(5\/7)*f*f*f)\/f))*(f**(-3)*f**(-3\/5))\/(f**2\/((f*(f*f**(-1\/9))\/f)\/f)) assuming f is positive.\nAnswer: f**(-1328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Let z = -0.01 - -2.01. What is the nearest to z in 1\/3, -1, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:13 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 60*i + 64. Give b(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 245, 2\/3, 6, 217?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u**4\/11 - 32*u**3\/11 - 6*u**2 + 2*u\/11 + 4\/11 = 0.\nAnswer: -1, -1\/4, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18881 - 120.9828857\nAnswer: 18760.0171143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4690, -4677, -4648, -4597, -4518, -4405?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -d + 2*p, 2*p = -0*p - 10. What is the remainder when 27 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*p = -53, -3*p - 40 = 4*k - 6*p. Let a(b) be the first derivative of -b**4\/4 - 11*b**3\/3 + 9*b**2 - 6*b - 27. Is a(k) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 29*z**4\/24 - 5*z**2. Let f(b) = 2*b. What is c(f(j))?\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, p: 7, m: 2, z: 3}. Give prob of sequence ep.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78221*f**6 - 129*f**2 - 512 wrt f?\nAnswer: -9386520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 31, 5, -5.\nAnswer: -5, 5, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 - 64\/3*q**3 + 18*q + 1\/30*q**6 - q**2 - 4\/5*q**5 + 6*q**4. Factor r(f).\nAnswer: 4*(f - 8)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108447 or 1?\nAnswer: -108447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.09, -32, -4, -2\/19, 1\/7, 5\/11, -0.02?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-324)\/4050.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4850789822 to the power of 1\/3, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2000036 - -1.2. Round s to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 6*i - 7. Let w(l) = -2*l**2 - 6*l + 8. Let a(k) = 3*h(k) + 2*w(k). Let m be a(5). Solve -5*n = -m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 433, 862, 1291, 1720, 2149?\n\"Answer: 429*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*t**3 - 4798113*j*t**2 - 2*j + 7*t**3 + 959908 wrt j?\nAnswer: 2*t**3 - 4798113*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cd70 + 18?\nAnswer: 2cd88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1475096424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-4))\/(60\/(-8)). Let h = -0.3 - -13.3. Let v = h + -15. What is the nearest to v in 0.2, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = c + 3*x, -4*x = c - 0*c - 22. Suppose 0*u = c*u - 20. Let z = -2 - -4. Solve 0 = 4*g - z + u, g + 2 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85883, -167176, -248469, -329762, -411055?\nAnswer: -492348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32510 - 5?\nAnswer: -32515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4640841s to minutes.\nAnswer: 0.007734735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-2)*(-140)\/(-105). Let b(d) = -3*d**3 - 19*d**2 - 5*d + 1. Let w be b(a). Let s be (-116)\/24 + 2 + -1. Which is greater: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6709247.21801 - -603\nAnswer: 6709850.21801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10221 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2294)\/5890 + (21\/84)\/(5\/12).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698003909 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70055 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.4 (c) -1.6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 222\/(-7) + 18\/(-63). What are the prime factors of (m\/40)\/((-2)\/45)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 1 + 4*n**2 + n**3 + 0*n**3 - 2*n**3. Suppose 25 = 2*b + 3*b. Suppose 0 = -2*x - b*t + 2*t + 13, -4*t = -4*x + 16. Calculate o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k + 1. Let l be i(-4). Let u = l + 34. Suppose -u*g + r = -0*g - 15897, 4*g - 21197 = r. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -12\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7605534*n**4 - 441715*n + 7 wrt n?\nAnswer: -91266408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, -3, 0.089, -1\/7, 12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 + 3 = 5*u, 0 = b + 2*u. Suppose -b*p + 2 = -0. Let d be (p\/1 + 1)\/17. Put 0.1, 2, d in increasing order.\nAnswer: 0.1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*v + 3*v - 12, 2*p = -5*v + 8. Suppose 2*u + k - 254 = 0, u - p*k = -k + 127. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258844 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3318000 divided by 200?\nAnswer: 16590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186557 and 191023.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5222 + 5239. Calculate the remainder when 101 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-2)\/(-1 - 1). Suppose -p*s = -6 - 15. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 35*v = 36. Calculate the remainder when 115 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose -g*z + 3*m + 8 = -m, z - 4*m - 6 = 0. What is the first derivative of -b**4 + 0*b**4 + 2 + z*b**4 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1267560508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from iroaaoaiiiaraiaro?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27158, 54321, 81484, 108647?\nAnswer: 135810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**7\/840 - 7*m**6\/360 + m**5\/30 + m**4\/12 - 5*m**3 + 11. Let p(c) be the third derivative of r(c). Give p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 38*d - 1817. Give h(48).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2605 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -291, -276, -261, -246, -231?\n\"Answer: 15*u - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14369.1 * -2141.\nAnswer: -30764243.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**5\/15 + d**4\/6 - d**3\/9 - d**2\/3 + 6. Factor a(w).\nAnswer: w*(w - 1)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 6. Let y be (-3)\/5 - m\/5. Let f = y + 2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.004 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 0*m - 3*m + (-6 + 0 + 4 + 0 + 4 - 2 + (1 + 4 - 3)*(5 - 3 - 3) - 2 + 1 + 3 - 26 + 9 - 12)*(-4*m + 3*m + 2*m) to k + g*m and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**2 + 90*v + 359. What is o(-4)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.925 and 67.64.\nAnswer: -671.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 215*r**2 + 8*r - 5. Determine q(-2).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10168)\/205 - -50)\/((-16)\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3192 and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23017 is divided by 371?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/80*3\/(126\/(-16)). Which is the closest to 0.1? (a) y (b) -5 (c) 2\/15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17637807*z**2 - 3*z - 377867911 wrt z?\nAnswer: -35275614*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -202221100 (base 4) to base 16\nAnswer: -22a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 10}. Give prob of sequence aga.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-1\/3)*r))\/r)\/r**(2\/3)*(r*(r*r*r**0*r*r)\/r)**(-2\/9) assuming r is positive.\nAnswer: r**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -294.\nAnswer: -6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010000 (base 2) to base 5.\nAnswer: 13404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 42. Let q = -208 + 208.4. Let s be 6 + (-8)\/(-36) - 6. What is the third biggest value in -3\/8, s, q, y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-731912)\/6494 - (-20)\/(-68).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.31 (b) 2\/23 (c) 0.7 (d) 0.4 (e) 3 (f) 2 (g) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 3500854331319?\nAnswer: -3500854331319.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155504 + -90608. Let j = h - 20465. Let o = 145431 - j. What is o rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0069436 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109720*y**3 - 655964 + 655964.\nAnswer: 109720*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15369*k + 864474 - 864474)*(-k - k + 0*k).\nAnswer: -30738*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (3 - (-5 - -21)) + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + -346 + 380 + (-4 + -1 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/436 and -15\/464.\nAnswer: 50576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 154. Let w be u(0). Suppose 3*o - w = 2*k + 3*k, 3*o + k - 178 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-122)\/(-549))\/((-42)\/9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 50 = -2*j. Let f = 50 + -22. What is the remainder when f is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 12)*1\/2. Which is the closest to -0.3? (a) p (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 - 6132*m - 21934164.\nAnswer: -3*(m + 7154)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -0.446972\nAnswer: -0.3575776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-4 - -16*60\/80. Solve 10*q - 8*q + 10 = -c, b = 2*c - 5*q - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 6*i**2 - 19*i**2)*(4*i + 0*i - 5*i) + (-1 + 0 + 2)*(0*i + i**3 + 0*i) + (3 - 3*i + 2*i + 2*i)*(-3 + 7*i**2 + 5 - 4).\nAnswer: 37*i**3 + 21*i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**5 - 1040*n**4 + 3255*n**3 + 18990*n**2 = 0.\nAnswer: -211, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 + -247.2. Let r = -15.3 + -32.7. Let o = r + z. Round o to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let p = -0.04 - -0.24. Let i = -7\/9 + 17\/45. Which is the closest to -1? (a) p (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -205684, -205686, -205688, -205690, -205692, -205694?\n\"Answer: -2*g - 205682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 32. Solve p*u + 12 = -5*w, -u - w + 1 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1503, 1518, 1545, 1584, 1635?\n\"Answer: 6*f**2 - 3*f + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415516307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 870 - 1425 = 0. Calculate the remainder when 1013 is divided by w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -600, -1354, -2410, -3768?\nAnswer: -5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-36))\/(9\/(-54)). Suppose -2*s + k + k - 4 = 0, s + 2*k - 13 = 0. Factor 18*p**s - 12*p**r + 19*p**4 - 18*p**4 + 216*p + 120*p**2.\nAnswer: p*(p + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*d - 16*d + 4 - 291*d.\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + 19\/44. Let h = 63 - 61. Which is the nearest to -0.1? (a) h (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35765, 143060, 321891, 572258, 894161, 1287600?\n\"Answer: 35768*f**2 - 9*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 - 213010113123?\nAnswer: -213010112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 228*n - 15 = 224*n, -4*u - 18 = -7*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n + 13. Let o(x) = -704*x**2. Calculate m(o(r)).\nAnswer: -10560*r**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-1)\/(-1 + 0 - 0)). Solve m + 1 = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.92 + 31. Let x = c + -0.0798. What is x rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 858249.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (208\/40)\/(4\/10). Let g be b + -4 + 0\/3. Solve -4*o - 12 = 0, -5*u - 4*o - g = -o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*k + 27, n - 40*k + 526 = -9*n + 6*n + 202 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*i - 5*n, -3*i + 3*n = 4*n + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13203 (base 4) to base 15.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -551 + 1651\/3. What is the third biggest value in j, -32, 3\/4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p + 3. Let l be h(4). Let j be 22\/28 - (-34)\/(-119) - 10\/4. Sort l, 2, -4, j in increasing order.\nAnswer: l, -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102 - 204 + 1048*m**2 + 556*m + 102 wrt m.\nAnswer: 2096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 6*q - 6*q)*(-3 + 1 + 1)*(1 + 1 - 1) + (-5 - 4 + 0)*(-6 + 2 - 4)*(q + 2*q + 0*q).\nAnswer: 215*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -10 - (-12 - (-16 + -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:24 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o**2 - 47*o + 572. What is the hundreds digit of z(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**2 - 5*i**2 - 5 - i**2 + 2*i**2 - 4*i**2 - 11*i. What is the remainder when 167 is divided by d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 394343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 5*b**4\/12 + 25*b**3\/3 + 105*b**2\/2 + 9*b + 2. Factor z(j).\nAnswer: 5*(j + 3)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 2, y: 7}. What is prob of picking 1 r and 1 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j + 114. Let z = 205 + -184. Calculate the smallest common multiple of z and j.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -161*o - 4. List the prime factors of x(-3).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209556379*b**5 - 150108*b - 421 wrt b.\nAnswer: 4191127580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + k**2 + 1 + (0*k + k**2 + 0*k)*(2 - 2 + 1).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - -0.8. Which is the closest to 1? (a) 4\/9 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301332332 (base 4) in base 8?\nAnswer: -617676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 - (0 + -3). Suppose d = 2*u - 3*h - 28, 5*u = -2*h - 2*h + 24. Solve 0 = -3*x + b - 9 - 1, b + u = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**16*l**(2\/7))\/(l**(-4\/3))**(-2\/99))**31 assuming l is positive.\nAnswer: l**(-885608\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 336651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1 (b) -3.4 (c) -0.1461\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i + 188*i + 1190 + 1810 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 127260160*g + 2024393540403200.\nAnswer: 2*(g + 31815040)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 9*d - 4. Factor -d*n**2 - 262*n - n**3 + 266*n + 2*n**3.\nAnswer: n*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 372 = -0*v. Let h = -100 + 405. Let c = v + h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 13*o - 9. Let m be l(-14). Let y(z) = -2*z - 4*z**2 + 37 - 4*z**3 + 3*z**3 + m*z**2. Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1189 + 1189.0829. Let c = -102.096 + 102. Let m = k + c. Round m to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87, 339, 759, 1347, 2103, 3027, 4119?\n\"Answer: 84*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10933961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10429*k**2*x**2 + 2*k*x**2 + 6*k*x - 24*k - x wrt k?\nAnswer: 20858*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaevayvavayyay. Give prob of picking 1 e and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3 + 11. Suppose 182 - 462 = -p*i. Suppose -7*c + 2*c = -i. Solve c - 2 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11981 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + o + 1, -90*o - 25 = 5*w - 92*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (3 + sqrt(176))*-6 - (-1 + 6*(sqrt(176) + -3)))*-6)**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 15 - -28 - -3 - (120 + 2).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-6)*2\/(-4). Solve 4*u = 5*x + 1 - 3, t = x - 4*u + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgwwdni. What is prob of sequence gn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-27)*30\/40\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -158, -1, 2, 19465.\nAnswer: -158, -1, 0.3, 1, 2, 19465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 19*y**2 + 33*y + 75. Give q(-3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/1368 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 90 = 2*m. Let c = -9 + m. Suppose -c = -7*q + 4*q. What is the lowest common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5049306 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 198, 273, 378?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 526 - 5*t - 536.\nAnswer: -2*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 0 + (35 - (77 - 47))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142162207735 - -0.4.\nAnswer: 142162207735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:51 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -224445a (base 11) to base 15\nAnswer: -529526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 176. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232213410 (base 5) to base 7.\nAnswer: 11650362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**7\/210 - 7*f**3\/3 + f**2\/2 + 12. Let g(b) be the second derivative of s(b). Find the first derivative of g(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68219 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*w**2 + 77*w**2 + 49*w**3.\nAnswer: 49*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119 and -1926980.\nAnswer: -229310620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 147 - 80 - -25 - -8\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1244.58 or 10\/7?\nAnswer: -1244.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 16) + 22 + -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 + 16*h**2 + 7*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 2. Determine j(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 2.6 (c) 0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3439 + 5083. What are the prime factors of c?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -22, 0, -17, -5 in decreasing order.\nAnswer: 5, 0, -1, -5, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/20 + (-14)\/30. Let m = 0.3 - 0. Which is the nearest to m? (a) 1\/4 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-45) + (-43)\/(-9). Let s be (g + -1)*3\/3. Suppose -6*d + d = 5*j - 45, -2*d = -s*j + 12. Solve 0*k + j*k = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376583792 to the power of 1\/2, to the nearest integer?\nAnswer: 19406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(125)*-2 + 3 - (sqrt(125) + -4 + 1 + sqrt(125)) - 5*(sqrt(125) - (-5 + (0 + sqrt(125) - sqrt(125))))))**2.\nAnswer: 1620*sqrt(5) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*d - 4 - 4, -2*d + 9 = 3*z. Let i = 1260 + -1257. Let u = 1 + -2. Put 0, i, u, z in increasing order.\nAnswer: u, 0, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/376468150 and 101\/12.\nAnswer: 2258808900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/938010204 and -67\/6.\nAnswer: 938010204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 2. Let m be (1 + -2)*3*1. Let k be 15*((-24)\/(-9) + m). What are the prime factors of t(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3999 and -14\/427893?\nAnswer: 427893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6415, -12833, -19249, -25663, -32075, -38485, -44893?\n\"Answer: v**2 - 6421*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 24*a - 2. Suppose -14*s + 11 - 212 = 135. What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/w)\/w)**21*(w*w\/(w\/(w\/(w*w\/(w\/(w\/(w*w\/(w*w*w\/w**9*w))))))))\/(w*((w*w**(1\/2))\/w)\/w) assuming w is positive.\nAnswer: w**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 7. Let c be v(-3). Let j(n) = -16*n + c*n + 6*n. Let f(b) = -8*b + 5. Give j(f(s)).\nAnswer: -8*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -576, -1295, -2292, -3561, -5096, -6891, -8940?\nAnswer: -11237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3429 divide 1137250994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -452971, -905926, -1358881, -1811836?\n\"Answer: -452955*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.58 + 58.58. Sort -14\/3, -7, b in increasing order.\nAnswer: -7, -14\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -11*g**4\/4 - 5*g**3\/3 - 7*g**2 - 20*g - 2724. Let l(x) = 4*x**3 + 2*x**2 + 5*x + 7. Calculate -8*l(d) - 3*p(d).\nAnswer: d**3 - d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.5691 to one decimal place.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(1296) - sqrt(1296)) - sqrt(1296))\/((sqrt(36) + sqrt(324) + sqrt(324)*2)\/sqrt(12)) + 4.\nAnswer: -6*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 34354.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 642298, 642301, 642304, 642307, 642310?\nAnswer: 642313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*g + 1735*g - 859*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/60 - 11*g**5\/60 + g**4\/3 + 4*g**3\/3 - 4*g**2. Let r(b) = -b**3 + 4*b**2 - 3*b - 3. What is -8*r(l) - 3*v(l)?\nAnswer: 2*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*d + 4*d - 2*d. Solve d = 10*j + 1482 - 1542 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210011 - 19*v - 210011 + 6*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**4 - 2*x**5 + 11*x**4 - 16*x**4 - 6*x**3 - 8*x**2 - 10*x**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-30)*p))\/p*p**(-17\/2))\/(p**(1\/30)\/(p**(7\/9)\/p)) assuming p is positive.\nAnswer: p**(866\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 802007498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 8*i = -384. Let p = -63 - i. Which is greater: p or -1\/69?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -8 - (2 + 0)\/2. Suppose -2*w - y = 0, -b + 7 = -3*w + 45. Let k = -46 - b. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45bb6 (base 14) to base 7\nAnswer: -1304516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 0, -2*d + b = -2*b + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/52 and -51\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 8, f: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-18) + (-467)\/(-1419). Let o = 1427\/1892 + i. Let b = 35 + -40. Sort o, b, 4 in increasing order.\nAnswer: b, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96829732739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 26*x - 2402 + 2564, -4*l = 3*x - 231 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -20*m + 48. Suppose -m = -3*o + o. Let f be (132\/9)\/1*o. Calculate the highest common divisor of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016504863212 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*l = -477*l. Factor l - 3\/2*t + 3\/2*t**3 + 3\/2*t**4 - 3\/2*t**2.\nAnswer: 3*t*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1746*g**4 - 32*g**5 - 1746*g**4)*(-5 + 4 + 0) + 56*g - 56*g + 13*g**5.\nAnswer: 45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -131*w**3 + 36*w**2 - 257*w + 37938923 wrt w?\nAnswer: -393*w**2 + 72*w - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) 8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 178?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906 + 2200 - 962 = 134*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 - l**4 - 91*l**3 - 87*l**3 + 179*l**3 - 2*l to x*l**4 + d*l**3 + r*l**2 + w*l + q and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-650)\/(-8) + (-38)\/152. Solve 9*a + 45 = s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175295 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = 0, -2*l - 97 = -x - 155. Let h(u) = 20*u - 6. Calculate the remainder when h(4) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*l = -12, 0 = 7*a - 2*a - 2*l + 8. Suppose 4*q - w - w + 20 = 0, a = 3*q + 4*w + 37. Let d be (-7)\/245 + (-3)\/q. Sort -3, d, 2.\nAnswer: -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6440 - -173822\/27. Find the common denominator of (2 - (-2040)\/(-108)) + 80\/(-180) and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 884\/272 + 3\/4. Solve -5*r + h*r = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) 0.4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + q = 491, z - 169 = 3*q - 6*q. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-45))\/((-2)\/5). Let g be (-5 - 1)*y\/3 + 5. Let q be g + -1 - 2 - -6. Solve -2*u + 12 = -q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(81)\/sqrt(3))\/sqrt(9) - sqrt(6)\/(sqrt(36)\/sqrt(2)))*-4.\nAnswer: -8*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 12*s - 46. Let u be p(7). Which is smaller: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 79197*l + 554404. Determine i(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -21110220300?\nAnswer: -21110220302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12\/13 (b) 81 (c) -6 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6102*s - 3038*s - 3129*s - 45*s**2 + 42*s**2.\nAnswer: -3*s**2 - 65*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.94. Let y = v - -0.11. Let z = -1.5 + 1.3. Do y and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -54, -81, -126, -195, -294, -429, -606?\n\"Answer: -f**3 - 8*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 6*i**2 + 23*i - 6. Let g be m(-9). Suppose -30*k + 40*k - g = 0. Sort 12, 1, k in descending order.\nAnswer: 12, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 16*v**2 - 176 - 21*v**2.\nAnswer: -5*v**2 - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/36)\/((-12)\/144)*1\/(-25)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-546)\/(-27) - -3*(-4)\/54. Let a = -21 + o. Let n(i) = 2392*i**2 + 1. Is n(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 4 in increasing order.\nAnswer: 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 10. Let z be l(7). Let r(o) = -3*o + 3. Let d(g) = 3*g - 2. Let h(x) = z*d(x) + 2*r(x). Let p(w) = -w - 2*w + 2*w. Determine h(p(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.966123 millilitres to litres.\nAnswer: 0.004966123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-4))\/((-6)\/84). Let j = -32 + n. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, -2, 5 in ascending order.\nAnswer: -2, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3\/8 + 2925*o**2\/8 - 418338*o - 409160472 = 0.\nAnswer: -1016, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = d + 4*q, -4*d + q + 12 = -123. What is the remainder when 405 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 5*l = 749. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11262448 to the nearest integer?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 74806150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -90.6493572\nAnswer: 94.6493572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 8748 = 7*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 25 + 9 + 3*v**5 - v**5 + 2*v**5 - 3*v**5 + (5*v + 2*v - 6*v)*(v**4 - v**4 + v**4).\nAnswer: 2*v**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 633808 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 43. Suppose 0 = 4*k - 4*y - 72, a*k + 3*y + 76 = 4*k. Solve -3*r + 18 = 2*r - 2*j, 0 = r - 5*j - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 111. Let r(z) = -16*z + 1. Let b be r(4). Let s = b + u. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + (-16)\/(-80). Let t(i) = i**3 + 4*i**2 - 4*i + 10. Let x be t(-5). Solve -x*n = -3*y + 19, n = 4*y - m*y - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k + 1420. Is 8 a factor of l(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1468*p + 17083. What is n(-10)?\nAnswer: 2403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*z + 27 = 0, -7*g - 25 = -2*g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556653897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -231. Suppose -13 + 61 = 4*y. What is the least common multiple of y and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66732, 133527, 200322, 267117, 333912?\nAnswer: 400707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310301991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 0.15?\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.3 (b) -1\/4 (c) -0.9 (d) -4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/5 + 22*z**3\/5 - 102*z**2\/5 - 262*z\/5 - 28 = 0. What is z?\nAnswer: -14, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -29\/100901 in decreasing order.\nAnswer: 0.2, -29\/100901, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = c + 2*o + o, -2*o - 232 = 5*c. Let x = -48 - c. Let u(y) = -2*y**2 + 2*y + 2. What is u(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001818102021 to seven dps.\nAnswer: -0.0001818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.849 + -0.151. Let g = 67 + w. Which is the closest to 1\/3? (a) g (b) 19\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 2.948\nAnswer: 14.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 + 363.0418. What is d rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10299*j**2 - 2 + 14716*j**2 + 14717*j**2 - 19135*j**2 + 2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 6*n. Let r be (n - -2) + 18\/(-6). Suppose r = 3*j - 14 - 64. Calculate the remainder when 76 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -1. Let j = 15 + -10.2. Let w = 0.2 + j. Which is the nearest to -2\/5? (a) f (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -10*z + 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 46 = 3*g + 4*n, g - 30 = -2*n. Let y(i) = -9*i**3 - 2*i**2 + i + 2. Let u be y(-1). Let s = g - u. Solve 5*o - s = 3*c - 0*o, 5*o = 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -509, -426, -273, -38, 291?\n\"Answer: 2*h**3 + 23*h**2 - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -113. Suppose 0 = 7*z - 1309 + 1288. What is the second smallest value in z, 52, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:32 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/23, 1\/2?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24720 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*m - 7 = -m, -3*m = -s + 18. Let w(y) = -y - 1. Let u be w(-3). Suppose s = u*a - a. Calculate the greatest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -6*c + n + 63, 9 = 2*c + n. Let l(i) be the first derivative of i**3 - c*i**2 + 7 - 12*i + 3\/4*i**4. Factor l(u).\nAnswer: 3*(u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33082 is divided by 947?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1}. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (1 + sqrt(2299) + sqrt(2299) + sqrt(2299)))**2 + ((sqrt(19) + sqrt(114)\/sqrt(6))*-1)**2.\nAnswer: 64*sqrt(19) + 19533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -161.28 at most as big as -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23674495 and 6?\nAnswer: -142046970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:38 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16. Suppose -1 = u, d + 2*u + h = 2. Suppose d = -p + 5. Is p less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:43 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 6)*(0 + 0 + 5*s)*(-5 + 14 - 33 - 2 + 9 - 2 - 1 + 0 + 0 - 1 + 2 + 1 + (-1 + 2 + 0)*(6 - 1 - 4)).\nAnswer: 170*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.626.\nAnswer: 3.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4331 - -4374.28. Round b to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-96)\/(-184)) + 2\/4. Sort q, -3, 5 in ascending order.\nAnswer: q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7457\/29780 - -3\/7445. Which is bigger: -17603 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - z = -21, 27 = 8*h - 3*h - z. Is (-1 + h)\/(1 + (-7)\/8) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 12) to base 16.\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.624491mg to nanograms.\nAnswer: 4624491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -422*r**7\/105 + 353*r**3\/6 + 1630*r**2. Differentiate i(z) wrt z.\nAnswer: -3376*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160060985*r**2 - 3692470*r + 19.\nAnswer: -320121970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -42235.5 to the nearest one hundred.\nAnswer: -42200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2624078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334*s**3 + 1391*s**3 - 2678*s**3.\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185042383.\nAnswer: 23, 8045321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5.684+79716885220\nAnswer: 79716885225.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j**3 + j**3 - 11 - 6*j + 9*j**3 + 8*j**3 + 2*j**2. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92687850 and 21?\nAnswer: 648814950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 275835 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 149. Let w be v\/3*8\/6. Let u = w + -30. 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 f be ((-36)\/99)\/((-54)\/(-99)). Which is the third biggest value? (a) 2 (b) f (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 707485 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 21141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 26 = 2*z - 6, -2*x = 0. Solve -2*h - 2 = -3*h + g, -2*h + z = 4*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128352105 or 128352106?\nAnswer: 128352105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18473311.872035 take away 2?\nAnswer: 18473309.872035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984565025?\nAnswer: 3, 5, 41, 43, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005534766275 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from dffdddddddxqd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3*o**2\/2 - 25*o + 63. Let k be 7*1 - 4\/2. Let l(w) = -5*w - 38. Let g(i) = k*l(i) - 8*v(i). Calculate g(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14178858150 to the nearest 1000000.\nAnswer: -14179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5405, -5, -2, 1 in ascending order.\nAnswer: -5, -2, 1, 5405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43117, -86912, -130715, -174526, -218345, -262172?\nAnswer: -306007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -1*((sqrt(162)*-1 + sqrt(162))*-3 - sqrt(162) - (sqrt(162) + sqrt(162) + sqrt(162)*1)*6)**2.\nAnswer: -58489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 142*w**2 + 1974*w + 6348. Calculate y(155).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -10, -17, -36, -73, -134, -225?\n\"Answer: -s**3 + 3*s**2 - 3*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -132 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 64. Solve 2 = d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 5088*a.\nAnswer: 5088*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3 = 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 13*y + 41*y = -504 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5, 2*x - 8 = f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 931\/8. Let w = -0.078 - 73.922. Let s = w + 73.8. Which is the closest to 2\/7? (a) s (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + 4*s + 3. Let z be c(-2). Let b = z + -1. Is -0.1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331 + 23*i**2 - 210*i**2 - 328)*(-i + 0*i - i + (1 - 2*i - 1)*(2 + 1 - 1)).\nAnswer: 1122*i**3 - 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w - 774 = 4*u, 391 = w + 2*u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 889472, 3557851, 8005154, 14231387, 22236556, 32020667, 43583726, 56925739?\n\"Answer: h**3 + 889456*h**2 + 4*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7*q - 2 = 0. Determine f, given that -f**3 - 3*f**4 + f**4 + f**4 + f**5 + f**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3801 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**3\/3 + 3. Let y be o(2). Suppose -y*n = b + 24, -8*n + b = -3*n + 39. Is n at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihihiyiiiihiiiihiyh. What is prob of sequence hy?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 27 = -28. Let c = d - -23. Suppose 4*v + h = 767, 2*v - 3*h - 416 = -29. Calculate the greatest common factor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -435, 0.\nAnswer: -435, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 20 = -5*d. Let j = 15 - 12. Solve 2*s = -j*s + d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-2)\/6*3. Suppose 2*a + 2*y - 316 = g, 0 = -4*y + 16 - 0. Suppose 3*o + 3*q - a = -q, -3*q = -3. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -352, 160, 1014, 2216, 3772, 5688, 7970, 10624?\n\"Answer: j**3 + 165*j**2 + 10*j - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 976703\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408641409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 548, -11, 2 in increasing order.\nAnswer: -11, 2, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**3 + 371418*y**2 - 6684603*y + 6313188 = 0.\nAnswer: 1, 17, 123788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28597.8030621 and -607.\nAnswer: -29204.8030621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 9)*(1 - 2*z - 1).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 5*s - 8376. What are the prime factors of s?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 2189*j + 13271. Determine b(-6).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(4\/9)*t)\/(t\/(((t**(1\/9)\/t)\/t)\/t))*t**(-2\/5)\/t*t**3)**40)**(-2) assuming t is positive.\nAnswer: t**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*o*o**(9\/7)*o)\/(o**0\/o**(-27)) assuming o is positive.\nAnswer: o**(-1508\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2519415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 at most as big as 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-26)*h\/(h\/(h\/(h\/h**(8\/3))))*h**24\/((h**(-1\/4)*h*h)\/h) assuming h is positive.\nAnswer: h**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7025 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let g(d) = -32*d - 542. Let t be g(-17). Sort n, t, 0, 3.\nAnswer: 0, n, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*b + 3*j - 93, 0 = 2*b - 4*j + 38 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 2*u**3 + 0*u**3 + 3*u**3 + 19*u**3 - 8*u**3 + (-u + u - u**2)*(107 - 54*u - 107).\nAnswer: 66*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibcmiwzizwmzzwwzz. What is prob of sequence iw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)*(-1)\/2. Let s = -29 + 30. Are s and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 66 = -4*o. Factor 45*x + o - 5*x**2 - 45*x.\nAnswer: -5*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 10 + -12)*2\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -10, -3, 4 in increasing order.\nAnswer: -10, -9, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159684 divided by -6?\nAnswer: -26614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155792 divided by -27.\nAnswer: 155792\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let f(j) = 2*j - 20. Determine f(n) - 4*h(n).\nAnswer: 2*n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1824 and 12426.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -34465?\nAnswer: -34472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((4 - 7) + 1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2543 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12 = 3*v, -2*w + 1300 = 3*v + 1291 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*d + 54. Let k = 4 - 6. Let j(y) = -4*y + 3. What is the smallest common multiple of j(k) and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + 1 - -1. Let w = a - -2. Suppose 7*x - w*x - 3 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*o**3 + 12*o**2 - 625*o**3 + 2 + 310*o**3 - 2*o**4 to h*o**2 + w*o**3 + p*o + f + z*o**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71666?\nAnswer: 2, 7, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -92*f**3\/3 - 1441. Let w(l) = -l. What is w(s(v))?\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11428.\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 11) - (2 + 0 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w**3 + 7*w**2 + 8*w + 4. Let k(c) = -15*c**3 + 8*c**2 + 6*c + 3. Calculate -3*g(v) + 4*k(v).\nAnswer: -18*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = d - 13, -2*w + 3*w + 2 = 0. Let k(f) = 194*f + 141*f + 231*f - d - 2. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 2*u**2 + 3*u - 2*u**3 + 394*u**4 - 395*u**4 to d*u**2 + f*u**4 + y*u + z + j*u**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/7)*x*x*x**(-8)*x assuming x is positive.\nAnswer: x**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 83 = 30*r. Let x(d) = d**2 + d - 2. Let t be x(-6). Let w = t + -6. Calculate the remainder when w is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 39*g + 66)*(4 - 8 + 0)*(-2*g - 5 + 5) to the form v*g + o*g**2 + i and give o.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 10, -17, -62?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - (2 - 4 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*j + 15, 0 = -2*j + 4*p + 12 - 8. Let c(a) = -a**2 + 4*a + 20. Give c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -30*k**2 + 2. Let q(z) = -5*z. Let i(g) = -12*g. Let t(x) = -6*i(x) + 14*q(x). What is t(a(c))?\nAnswer: -60*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11255258 and -14630.6?\nAnswer: 14630.48744742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 19 in increasing order.\nAnswer: -3, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 620*b**2 + 18585*b + 39690.\nAnswer: 5*(b - 63)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108.9 + 107.7. Let r = 2 + -1.9. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 2 x when four letters picked without replacement from nnjlnlx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 9*n + 20. Let j(z) = 7*z**2 + 25*z - 57. Let f(u) = -3*j(u) - 10*o(u). Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -559*r**2 - r + 170?\nAnswer: -1118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -23 - (-40 - 0)\/(-5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 203949240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 + -1)) + 6 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*2\/420)\/(-4*(-3)\/(-6)).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.57 + 129.57. Sort -1\/3, g, 0, -0.05, -3.\nAnswer: g, -3, -1\/3, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 227903927056673\nAnswer: 227903927056672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3 + 315*r + 395.\nAnswer: -3*r**2 + 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let n be y(10). Let f(b) = -4 + b - n*b + 4. Let i(q) = 2*q - 4. Let g(t) = 4*t - 9. Let l(h) = 4*g(h) - 9*i(h). What is l(f(k))?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987000 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66589, 66607, 66623, 66637, 66649?\n\"Answer: -j**2 + 21*j + 66569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 708 + -707.7. Which is the second smallest value? (a) 4 (b) p (c) -332\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1088 in 0.3, -6, -5, -0.4, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 95. Which is the nearest to p? (a) 2 (b) -0.2 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 2*b**4)*(-2 + 2 + 3) - 2*b**4 + 0*b**4 + 0*b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-126) + -31*30\/(-2790)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -2*b**7\/21 - b**3\/3 + b. What is the second derivative of d(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -38. Suppose -6*w - b = -2*w. What are the prime factors of ((-56)\/3)\/(w\/33)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x*z**5 - 2*x*z**2 + 60*x*z + 3*z**5 wrt z.\nAnswer: -120*x*z**2 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.4, -2\/5, 2\/7, -15, -3 in descending order.\nAnswer: 2\/7, -2\/5, -3, -6.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-211)\/(-2) + (-1)\/(-2). Suppose h = -6*f + 7*f. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/915360 and -113\/36004160.\nAnswer: 108012480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-12)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 11 + -16 - -37.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-3\/13)*b**13 assuming b is positive.\nAnswer: b**(179\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = -3*l + 18, -3*l - 14 = -5*i. Suppose -l*c = u + c - 11, -39 = -5*u + c. Is 15 a factor of (-6)\/u + (-1770)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (555\/(-222))\/((-285)\/(-12))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m - 6890 = 21*m + 31*m + 45 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 33*z**2 - 16*z + 118. Calculate j(16).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 74\/1624135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*t - 3, -4*t - 3 - 1 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8087355.9 microseconds in hours?\nAnswer: 0.00224648775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*m = 131, -4*m + 14 = k - 33. Let o(t) = t**2 - 5*t + 6. What is the remainder when k is divided by o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f - 1. Let h(u) = -3*u**2 + 2*u - 2. Let d(k) = 4*g(k) - 2*h(k). Let n(z) = 24*z. Give d(n(s)).\nAnswer: 1152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/50 + 4*g**3\/15 + 24*g. Suppose o(s) = 0. What is s?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -221, -459, -707, -965, -1233?\n\"Answer: -5*m**2 - 223*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -2379\nAnswer: 23790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjg when three letters picked without replacement from {g: 10, j: 4, m: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1001001101 (base 2) to base 5\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 1196*h.\nAnswer: 4*h*(h + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) -1\/6 (c) -7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y + 10 = -8, y = -4*w + 17. Let n be (w\/2)\/(12\/32). Let z be 3\/18*n*3. What is the biggest value in -0.3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -2 - (186 - 182).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*q + 404*q - 6127 = 6113 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzoozzzozhhjh. What is prob of sequence joz?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 2*j - 21*j**2 + 56*j**2 + 18*j**2 + 4*j.\nAnswer: 53*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/375*-5*(-3)\/(-4). Let q be 10\/(-8) - (6 - 7). Which is the nearest to s? (a) 1\/7 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03983 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/9852824 and -111\/28406.\nAnswer: 68969768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4\/8 + 2757*o**3\/8 + 171021*o**2\/2 + 2867040*o + 7840800 = 0.\nAnswer: -440, -36, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780012 divided by -50.\nAnswer: -390006\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62318977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = t + 3*t + 2*z, 4*t + 3*z - 1496 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -1. Put 2, l, 5, -14 in ascending order.\nAnswer: -14, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-4) + (-1)\/(3\/9). Solve 4*w + 22 = -k - 0*k, -k + w = -d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000409189777 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 118. Let h be (-3)\/(-9) + 76\/6. Calculate the greatest common divisor of h and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2*3 - sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(2))\/((sqrt(75)\/sqrt(3))\/sqrt(5)*2).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -41. Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31328.7 and 325639.\nAnswer: 356967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -431 + 1020063?\nAnswer: 1016332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -217845 (base 10) to base 8\nAnswer: -651365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137613.\nAnswer: 3, 7, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l + 3*l**3 - 2*l**3 - 2*l**2 + 3*l + l**2 in the form y*l**2 + m + u*l**3 + d*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68034 - 48236. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 676 = 15*m - q, 0 = -3*m - 2*q + 1012. Calculate the lowest common multiple of 136 and m.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.17, 5, 0, -19.2, 2\/11?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(45)*5)\/(-6*-4*1*sqrt(9))*2)**2.\nAnswer: 125\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10503\/36736 + -1\/5248. Which is the closest to x? (a) 7 (b) -0.3 (c) 2\/15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 112 - 90 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27867842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 + 7*x**2 + 343*x + 1685. Calculate j(-5).\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -5.3, -85284 in decreasing order.\nAnswer: 3\/5, -5.3, -85284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 28 - 32 - 33.\nAnswer: -y - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3214 - 617. List the prime factors of x.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4 and -17901.\nAnswer: -17898.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24123, 3, -77, 5, -4 in increasing order.\nAnswer: -24123, -77, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 1.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -23 (c) -5 (d) 0.4 (e) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 15*k - 33. Suppose 5*w + 4*a + 77 = 0, 13 + 10 = -w + 3*a. Determine u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 93. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143922\/7 + 20560. Which is bigger: y or 32\/211?\nAnswer: 32\/211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -257405045, -257405047, -257405049?\n\"Answer: -2*b - 257405043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/13)*q\/(q\/(q\/((q\/(q**(-5)\/q)*q)\/q)*q)))**(3\/40) assuming q is positive.\nAnswer: q**(-153\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:45 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6\/13)\/h)\/h)\/h*h*h\/(h\/h**(-16\/5)))**(7\/4) assuming h is positive.\nAnswer: h**(-644\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3985 and 6376.\nAnswer: 31880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91 times 2.2973?\nAnswer: 6.685143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/(-6) + -5)*3318\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(7*m**2 - m**2 + m**2)*(-452 + 83 - 787).\nAnswer: -24276*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)*1\/(-2)*1. Solve 6*m + 5*o - 30 = m, -3*m + o + 2 = u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/10 + -3)*0. Find the common denominator of -45\/38 and (-165)\/36*(1 + n).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15136011 divided by -152889?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*(-7)\/((-112)\/(-72)). Suppose r - 2*r - 4 = 0, -3*r - v = -3*k. Solve 0*u**3 + k + u**4 + 1\/2*u - 1\/2*u**5 - u**2 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 4305.0808.\nAnswer: 430.50808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416\/(-20592)*((-30)\/8)\/(-5)*-4?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-6)\/9)*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -389429 + 389425. Let s = 0.2 + -0.3. Which is the biggest value? (a) 6\/13 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2038*s + 291. Let p be c(-23). Suppose 35*d + 14370 = p. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0817 - 262492717?\nAnswer: -262492717.0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 981833*u**5 + 664847*u**2?\nAnswer: 58909980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 + 20*u**3 - 33*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(45) + (sqrt(45) - (sqrt(45) - sqrt(180)))*6 + sqrt(45))\/sqrt(9).\nAnswer: 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:46 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 1, 0, -23.\nAnswer: -23, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220383, -220367, -220351, -220335, -220319?\nAnswer: -220303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**3 + 0 + 2*x**2 + 1\/84*x**8 + 0*x**7 + 0*x + 0*x**4 + 7\/60*x**5 + 0*x**6. Find the third derivative of h(t) wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 - 1 = 0. Find the third derivative of 8*b**2 - x*b**4 + 2*b**6 - 8*b**6 + 3*b**4 wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:16 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:13 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200440555 (base 6) in base 11?\nAnswer: 7672874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -15*v - d - 197, 0 = 5*d - 5. Let s = 205 - v. Solve s*r = 10*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 4:46 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - 3*j**2 - 3*j. Let k(h) = 5*h**3 - 4*h**2 - 4*h - 1. What is -3*k(m) + 4*o(m)?\nAnswer: m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3082746 - 111?\nAnswer: 3082635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-28) - 2850\/14. Let x = 206 + y. Sort -5, x, 1 in descending order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 411 + 148 = -u, 0 = 2*h + u - 275. Let y = h + -258. Let b = y - -171. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let w(l) = -160*l**2 + 16*l + 16. Let r(a) = -32*a**2 + 3*a + 3. Let j(z) = 16*r(z) - 3*w(z). What is g(j(t))?\nAnswer: 1024*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(64)\/sqrt(4))\/sqrt(8) + 2)**2.\nAnswer: -108 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*g - 21 = 0, 16*g = 4*h + 15*g - 33 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 4:07 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 371*c + 28802. What is o(-66)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - s + (-2 - 1 + 5)*(s - 2*s + 2*s) - 2 + 3*s + 2)*(-4 + 0 + 2)*(4 - 5 + 3)*(5 - 5 + 5).\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:33 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 0, -3*q - 3 = -0*h - 3*h. Factor -35 + 35 + 4*l - l**h.\nAnswer: -l*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4471.514 litres to millilitres.\nAnswer: 4471514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 3336012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43585 to 2 decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56517 - 56518 + 109*w - 115*w.\nAnswer: -6*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2*w + 10. Let c = 96 - 103. Let t be u(c). Suppose 3*b - 5*l + t = 634, -4*b + 4*l = -780. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 4*z)*(0*z**3 - 2*z**3 + 3*z**3) - 3*z**4 + 479*z**3 - 39*z**2 - 479*z**3.\nAnswer: -4*z**4 - 39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {d: 1, f: 1, a: 2, t: 1, o: 3, k: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22935 is divided by 337?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25828 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1312177+-0.02\nAnswer: 1312176.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 12*i + 0*i**2 - 1\/6*i**3 - 1\/3*i**4 + 0 - 1\/15*i**6 - 1\/4*i**5. Suppose c(w) = 0. What is w?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26206103 to the nearest integer?\nAnswer: 5119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 + 6. Let g be y(6). Let b be g\/(-3) + 78*-1. Let n = -27 - b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/482975?\nAnswer: 1\/482975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 886843 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 1, y: 1, f: 3, t: 4}. What is prob of sequence abt?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 1372314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204\/197 - -211\/394. Which is the nearest to 0.2? (a) 4 (b) -0.13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2490 + 2277 = -71*k. Put -2, k, 0, -6, 1 in descending order.\nAnswer: k, 1, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 884, 1375, 1900, 2459, 3052?\nAnswer: 3679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 475*f + 6967. What is q(-15)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-27))\/(2\/(-6)). Let n = -0.23 - -13.23. Let k = n + -12.9. Which is the smallest value? (a) q (b) 0.06 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-60) + 122\/140. Let m = 0.14 + -7.14. Let f = 7.1 + m. Which is the nearest to f? (a) z (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 0*c + 6 + 7*c + 2*c to the form g + h*c and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as -2068\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/3306?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 116\/20 - 16\/(-5). Suppose 0*q + 0*q**2 + 0 - 8\/3*q**s - 2\/3*q**3 = 0. What is q?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -29*m + 32*m + 24, 5*c = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a0bc80 (base 13) to base 3\nAnswer: -21000222020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/4 - 29*q\/4 - 39\/2 = 0. What is q?\nAnswer: -26, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 104 = -3*x, 0 = 3*x - 5*t + 4*t - 112. Let w = x - 37. Suppose l + 2*s - 3 = -5, 4*l - 4*s = 4. Solve l = -3*z + w + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 11, 26, 47, 74, 107?\n\"Answer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000029297 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*r**2*s - 2*d**3*r**2 + 2*d**3*r*s**2 - 18*d*r + d*s**2 - 2*r**2*s**2 wrt r.\nAnswer: 2*d**3*s - 4*d**3 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22102 (base 3) to base 15.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -489*a + 329. Let x be r(18). Which is smaller: -8472 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 47*p. Let z(c) = -287*c. Determine o(z(j)).\nAnswer: 82369*j**2 + 13489*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799716.\nAnswer: 2, 13, 111533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 8*h + 2*i - 59 + 32, 3*i + 21 = 5*h - i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*m + 5 + 5 = 0, 4*m = -16. What is the remainder when c is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 54*o + 511. Determine h(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 437916\/131 or 3342?\nAnswer: 437916\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46347*c**3*i**2 + 2*c**3*i*k - 13*c**3*k - 6*c**2*i + c**2*k - 5*c**2 + 5*c*i**2*k - 12*c*i**2 - 2*c*i*k - 52*i wrt c?\nAnswer: 278082*i**2 + 12*i*k - 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 less than or equal to 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let w = 117 + 477. Let l = 1343 - w. Let f(b) = -749 + l + 2*b**2. Determine f(t(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.309 to 0 decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 11:03 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 - 1. What is the lowest common multiple of ((-120)\/(-72))\/((-20)\/(-36)) and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let b(h) = -h + 1. Let x(u) = u**2 - 3. Let a(l) = -6*b(l) - 2*x(l). Let r(t) = a(t) - 6*q(t). Let z(f) = 7*f. Give r(z(k)).\nAnswer: -98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 125*v - 116*v - 2610. Suppose t + 492 = -v. Round t to the nearest ten.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i = -3*v - 65*i - 24, -5*v + 11*i = -150 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*u = 10, -2*z - 8 = -6*z - 5*u. Suppose -4*f + 148 = z*m, -3*m + 0*m - 74 = -2*f. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 6*k = 50. Suppose -2*c = -7*c - 4*a + 17, 0 = 3*c - 5*a - k. What is the remainder when 28 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0 + 2. Suppose -4*k = -c - 391, o*k + 61 = 2*c + 249. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 63*p**5\/10 - 121*p**3\/6 + 30*p + 127. Let y(i) be the first derivative of w(i). Find the second derivative of y(n) wrt n.\nAnswer: 756*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -108111\nAnswer: 540555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = u - 1, -4*u - 337*y + 4 = -334*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*v**2 - 137*v**2 + v**3 - 132*v**2 - 161*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3 - 1. Let u be r\/(-3) + (-2)\/3. Let g be (-5000)\/(-2)*(-28 + u). Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7665, -30739, -69217, -123099, -192385, -277075, -377169?\n\"Answer: -7702*o**2 + 32*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 10, -0.5, -2\/5, -4\/7, 0.\nAnswer: -4\/7, -0.5, -2\/5, 0, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 3681*b**2 + 157608*b + 1717716.\nAnswer: 3*(b + 22)**2*(b + 1183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5648518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*q - 12, -3*q = 2*s + 18 - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 445 + 463. Let m(l) = l**2 - 9*l + 5. Determine m(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11200 + -102201?\nAnswer: -120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 9}. What is prob of picking 2 l?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-4)\/(-3). Suppose t = 4*p - 3. Let f = -0.227 + 0.127. Which is the smallest value? (a) p (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -11*g + 2*q + 4162, -g + 3*q = -2073. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 6. Let c be x(10). Let a(m) = -4*m - c - m + 3*m - m. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 10*o + 370 = -27*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 4. What is c(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 301?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328985558*j**4 + 383095225*j.\nAnswer: 3947826696*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 25065340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3168 = -4*n + 4*m, -1585 = -2*n - 4*m + 7*m. Suppose -s + n = 5*u, 787 = 5*u - 3*s + 5*s. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*i + 23 - 39, 5*x = i - 22. Put -5, x, -27, -0.46 in decreasing order.\nAnswer: -0.46, x, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 2709.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -374, -376, -388, -416, -466, -544, -656?\n\"Answer: -x**3 + x**2 + 2*x - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*x**3 + 970112*g**3*x**2 - 11315*g**2*x**3 + 1283*x**3 wrt g.\nAnswer: 18*x**3 + 5820672*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 87*z - 2188670. Let h(f) = -f. Calculate h(w(t)).\nAnswer: -87*t + 2188670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 30. Put 0, y, -4 in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + f**2 - 2*f**2)*(2 - 1 - 2)*(-4 - 7*f - 3*f + 7).\nAnswer: -10*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:32 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5713 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 29667?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 265\nAnswer: -12\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 504311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -114434305 (base 6) to base 13\nAnswer: -5b5314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6 + 16 - 9*h**2 + h**3 + 20 + 3 - 13*h. Let d be a(10). Suppose 7*p - 172 = d*p. Calculate the greatest common factor of p and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 180 (c) 57 (d) -17 (e) -0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 15710?\nAnswer: 172810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -60095 equal to -59910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:14 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4968*l = 5640*l + 6720 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6))**(-2\/7)*(p*p**9)\/(p*p*p**(-2\/15)))**(1\/46) assuming p is positive.\nAnswer: p**(502\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14. Let c(k) be the second derivative of 5*k**2\/2 + 9*k. Let d(h) = 11*c(h) + 4*y(h). Let o(z) = z**2 - z - 1. Determine d(n) - 2*o(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**5\/30 - t**4\/24 - t**3\/3 - 5*t**2\/2 - 6*t. Let q(o) be the first derivative of j(o). Give q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) 1\/7 (c) 2 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 - 2*w - 1 - 2*w**3 + 3 + 2*w**3 - 3 + (0 + 3 - 2)*(-4*w + 4*w + 2*w**3).\nAnswer: 2*w**3 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*6*(sqrt(77) + (1*sqrt(77) + sqrt(77) - sqrt(77))))\/((sqrt(352)\/sqrt(128))\/(4*2*sqrt(4))).\nAnswer: -13824*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 1580. Let o = k - 3169\/8. What is the common denominator of 25\/7 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0975711 minutes in hours?\nAnswer: 0.001626185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + 0 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/5, 1\/5, 5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 2. What are the prime factors of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19530)\/(-1176))\/93)\/(75\/6).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 92 - 81)*(44 - 44 + 3*j**4).\nAnswer: -345*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 21. Calculate the greatest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.035957 months to centuries.\nAnswer: 0.0008632975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -25. Suppose -t = -1, 0*l + l - 2*t = -9. Let a = q + l. Solve a*j + 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - o. Suppose -2*b = -3*x - 3, 2*b + x = -4 + 11. Let t = -1 + b. Let h be (3 - t)*-3 - -1. Calculate m(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 27, 5 in descending order.\nAnswer: 27, 10, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i - 35. Let h be 86\/(-6) + 8\/24. Let q be 8\/28 - (-186)\/h. List the prime factors of a(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + (-50)\/15. Let i = -3 + n. Does 16 divide (3 - (-2 - i))\/(1\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182425351?\nAnswer: 17, 23, 466561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1431572*y**2 + 4*y + 18989969?\nAnswer: 2863144*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 21 = 7. Let m be 3\/s + 9*5\/105. Solve -2*i - 1 - 5 = m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 14 - (29 + -37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 17. Let c = -13 + h. Let n = -4 - -6. Sort -1, n, c in ascending order.\nAnswer: c, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*4*(-60)\/(-48). Suppose -2*i + 1 + 5 = 0. Put 1, 0, i, v in increasing order.\nAnswer: v, 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let o = -561 - -566. What is the closest to -1 in -2\/11, f, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -143662*f**2. Let x(p) = -24*p**2. Give x(z(b)).\nAnswer: -495330485856*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1 - 2)*(-4 + s + 4).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from fffffffffmmmffffff.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*m, 4*m = -0*b + 3*b - 2. Let y(f) = 24*f**2 - 10*f**b - 13*f**2. Let g(h) = 6*h**2 - 4*h. What is y(g(q))?\nAnswer: 36*q**4 - 48*q**3 + 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(6))\/sqrt(9) + sqrt(21)\/(sqrt(21)\/sqrt(7)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c6 - d7?\nAnswer: 1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43297.7 - -611\nAnswer: -42686.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = -12*x + 17*x. Let z = x - -111. Suppose -y - z = -59. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 85*z**2 - 9*z - 17. What is the units digit of b(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkkukkukkkuukkkku. Give prob of picking 4 u.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1 - -2)\/(-2). Suppose -225 + 75 = -5*d. Suppose m - u = 0, 0*m - d = -3*m - 3*u. Solve -3*z + 18 = 2*w + z, -3*w - m*z + 25 = j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23306773 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797328 is divided by 199329?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-69)\/12)\/(1\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 15 - 12. Let b be ((-2)\/8)\/(v*5\/(-660)). Solve -3*d = -5*p + b, 0*p + 5*p = 4*d + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2*m**4\/5 + 23*m**3\/15 - 3*m**2\/10 - 559. Suppose f(r) = 0. Calculate r.\nAnswer: -3, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17149, 34298, 51447, 68596, 85745?\nAnswer: 102894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let n be ((-1)\/5)\/((-4)\/10). Which is the second biggest value? (a) t (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, j: 1, c: 1, y: 1, w: 1}. What is prob of picking 1 y, 1 u, 1 c, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.2. Let s = 0.2 + p. Let a = -0.3 + s. Sort 4\/3, 0.4, a in increasing order.\nAnswer: a, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-13)\/(-12480)). What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 177?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/24)\/5)\/(10320\/960)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1495603, 8.\nAnswer: -1495603, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)\/(v\/(v**10\/v)*v)*(v\/(v**(-16)*v))**(-28) assuming v is positive.\nAnswer: v**(-448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 0.5, 0, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:04 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l**2 + 589*l + 134. Give s(-25).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/30 - 7*j**3\/6 - 4*j. Let f(n) be the second derivative of t(n). Let d(k) = k**2. Calculate d(f(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 - 14 = 0. Suppose 23 = g*c - 7. Is 7 a factor of 56\/c - (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329443.4kg in tonnes?\nAnswer: 329.4434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 136\/(-34) - 38\/(-8). Which is the second biggest value? (a) m (b) -0.2 (c) 4\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1193 < -1194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/35 - 34\/10. List the prime factors of (-30)\/g*(11\/(-5) - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340597 is divided by 11458.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131 - 131 - 34*s - 2*s**4 + (1 + 2*s - 1)*(-2*s**3 - 2*s**3 + 6*s**3).\nAnswer: 2*s**4 - 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -16, -18, -20?\n\"Answer: -2*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, i: 3}. What is prob of picking 3 n and 1 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -0.2, -2.1, 0.3 in increasing order.\nAnswer: -2.1, -1, -0.2, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 3*m + 13, -3*s - 3*m = 18. Which is bigger: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 20\/519943?\nAnswer: 20\/519943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/6)\/(-2 - (-26)\/15). Suppose n - m*s - 14 = 0, -5*n = -3*s - 23 - 3. Solve 2*l - 8 = -4, 4*l + 8 = -n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-128)\/(-1120))\/(12\/(-42)))\/(12\/1080).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*c - 12, 0 = 2*u - u - 4*c + 14. Solve -x + u + 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 94, 1, 4, -99, 0 in decreasing order.\nAnswer: 94, 4, 1, 0, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/(i**3*i)*i)\/i*i*i*i**(-8\/9))\/((i*i*(i*i\/(i\/i**(-24)))\/i)\/(i\/(i\/((i*i**(-1\/4))\/i))*i)))**(-8\/3) assuming i is positive.\nAnswer: i**(-1646\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 35880435 and 35880434 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2*h**3 - 7*h + 4*h - 2*h + h**3 + 2*h + (1 - 1 - 2*h**2)*(-5*h + 2*h + 2*h) - h**3 + 4*h**3 - 4*h**3 - 271 + 20*h**3 + 271)*(1 + 4 - 3).\nAnswer: 46*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 137. Is u smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109698, -219348, -329000, -438654, -548310, -657968, -767628?\nAnswer: -877290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/27240 and 109\/27240.\nAnswer: 27240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raar when four letters picked without replacement from raarznrrrrrnzgrzrran?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2160 + 2160. Which is the smallest value? (a) -20 (b) -4\/3 (c) 0.3 (d) i (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201179112 divided by 3624?\nAnswer: -55513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.5 (b) 3\/10 (c) 2\/13 (d) -27\/19 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Is i\/7*21\/6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 40*l - 22. What are the prime factors of s(10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - 42*z**2 + 107*z - 88. Let t(x) = -25*x**3 + 211*x**2 - 536*x + 439. Let j(w) = -2*t(w) - 11*y(w). Determine r, given that j(r) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5021561903090+-2\nAnswer: -5021561903092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*a = -860*a - 108 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 178\/8 + (-1)\/4. Let j(o) = o**2 - o + 4. Let l be j(3). Let b = q - l. Calculate the highest common factor of b and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50667280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 3 + (-7)\/((-7)\/3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/26)\/(11\/(65780\/345)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, 1, 16, -1343, 5, 2 in decreasing order.\nAnswer: 374, 16, 5, 2, 1, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(55)\/sqrt(5) + 5 + sqrt(1100)*2)**2*2.\nAnswer: 440*sqrt(11) + 10698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 82. Let z = -6 - -16. Calculate the greatest common factor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Let z = 2 - p. Solve 0 = m - 3*f + 11, 4*m - f = z*f - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*x - 7 - 0, 2*i - 5 = -3*x. Which is the nearest to x? (a) -5 (b) 2\/7 (c) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millisecond in microseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106560 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*13373.\nAnswer: 2674.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 83 = 5*g, 0*q + g + 242 = 5*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2138 divided by 2\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-4))\/((-5)\/40). Suppose 10 = 2*p - 3*p. Let i = p + n. Solve -a + i*x - 14 + 5 = 0, 0 = 4*a - 3*x + 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184308 (base 9) to base 16.\nAnswer: 1c010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295775728 to the nearest integer?\nAnswer: 17198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 585550?\nAnswer: 585550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -48. Suppose -4*h + 15 + u = -5*x, -4 = 4*x. Suppose -9*c - 59 = -h*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 120, -4, -252, -618, -1096?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 665, 2277, 5647, 11333, 19893, 31885?\n\"Answer: 93*d**3 + 321*d**2 - 2*d + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55188 and 2557170.\nAnswer: 373346820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*d + d + 1)*(23 - 23 - 18*d)*(-2 + 3 - 2)*(2 - 3 + 0).\nAnswer: 18*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 8. Let g be z(5). Let y(j) = -3*j**2 + 16*j. Let f(n) = 7*n**2 - 32*n. Let k(o) = 2*f(o) + 5*y(o). Is 16 a factor of k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i + 1. Let c be s(1). Let a = c + 5. Solve -2*k + 6 = -a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:24 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.007 + 0.113. Let p = -5 + 5.3. Let i = -0.2 - p. What is the second biggest value in i, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, 1 w, and 1 y when four letters picked without replacement from wwwoyoodhwwdw?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Let r = 0.0594 + -0.4594. What is the closest to -1\/5 in -0.2, r, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:07 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 65. Let s = 46 - -13. Let u = s + b. Solve 3 + 7 = u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 + 3 = 4*g, -22 = 4*o - 2*g. Let k(p) = p**3 - p + p**2 + 2*p**2 - 2*p. Calculate k(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:27 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/((-265)\/6) - 2*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4975262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 19407 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: Divide -3 by 847100.\nAnswer: -3\/847100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -1218a5?\nAnswer: 121896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -111*i**4\/4 + 173*i**3\/3 - 427*i**2. What is the first derivative of s(c) wrt c?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/21*(-22)\/(1760\/840)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 957 + 180. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 5\/4 + 946\/88. Sort 4, c, 1 in increasing order.\nAnswer: 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7489 divide 125740310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 3*m - 3. Let d be r(-3). Suppose -f = 4 + d. Calculate the remainder when ((-4)\/f)\/(3\/120) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 327.0978 millilitres?\nAnswer: 0.3270978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 4 = 33*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -49. Calculate the remainder when 126 is divided by (28\/8)\/f*-86.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gipyiyqiiyvii. Give prob of sequence ipg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899 = 29*c + 449 + 450 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 1909*r**3 + 1903*r**2 + 9537*r + 5724.\nAnswer: (r - 1908)*(r - 3)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6846886 and 86513.\nAnswer: 47928202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 236770 + -0.01\nAnswer: 236769.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000764 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-5))\/(8\/520) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143)*-3 + sqrt(143) - sqrt(143))*-2 - sqrt(143))\/(sqrt(891) + sqrt(891)*-2).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*r**2 - 993*r**2 - 256*r**2.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -50, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 24118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -126*i**2 + 1464*i - 8*i**3 - 1456 + 10*i**3 - 246*i**2 = 0. What is i?\nAnswer: 2, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1771, -1267, -457, 653, 2057, 3749?\nAnswer: 5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) + 2\/3. Suppose -6 - k = -2*m. Let b(p) = -p + 4. What is b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 7*s**3\/3 + 9. Let u(f) = f. Give d(u(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sitttitiytttisyyi. Give prob of sequence iyiy.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37147867*p**4 - 59*p**2 + 85854*p wrt p.\nAnswer: 891548808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-2)\/((-48)\/4). Which is the closest to 2\/3? (a) 2 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 31, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-3)*1)\/(-7))\/(-442*(-192)\/13104)?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:56 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 102*v**2 + 567*v + 592. Determine k(-96).\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k - 1887. Calculate n(95).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 15. Let l be d(-11). Let t(r) = -r + 2 + 12 - 1. What is the units digit of t(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -64, -66, -70, -76?\n\"Answer: -k**2 + 3*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**5*u))\/(u*u**(-1\/4))*(u\/(u\/(u*u**(-2\/5))))**32)\/(u**(-1\/4)\/u*u*((u\/(u\/(u\/(u**(-6)\/u))))\/u)\/u*u\/(u*u\/u**(-2))*u**4) assuming u is positive.\nAnswer: u**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 232737 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a9d0d2a + -4?\nAnswer: -2a9d0d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 6) to base 2.\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 64*s**2 + 2*s. Let a be u(3). Suppose -3*r = -r. Suppose 5*f + 20 = 0, -3*k + k - f + a = r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(88) - (-2*(sqrt(88) + (sqrt(88) - sqrt(88)*1) - sqrt(88)) - sqrt(88)))\/(sqrt(8)*1*5).\nAnswer: 2*sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10)*(14 - 4). Let z(x) = -x**3 + 1. Let h(k) = -3*k**3 + 6. Calculate p*z(a) - h(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 5, r: 1}. Give prob of sequence rg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*l**3 + l - l - 103*l**3.\nAnswer: 392*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x - 4*x**2 + 3*x**2 + 11*x + 3*x**2 - 2 to the form z*x**2 + f*x + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:23 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 414173205?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)\/((-174)\/(-29)). Suppose -5*p - 82 = -m, p - 5*p - 16 = r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 5518*c + 5518*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 6*p + 8. Let q be y(6). Let v be (-2152)\/(-32) + 10\/(-8). What is the highest common factor of q and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 + 55*j - 30. Let f be y(19). Let v = f + 792. Factor 1\/4*s**v - 2*s + 4.\nAnswer: (s - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11613860, -23227699, -34841540, -46455383, -58069228, -69683075, -81296924?\nAnswer: -92910775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - b + 8, -4*w - b + 20 = w. Let z(y) = -9*y**3 - 5*y**2 + 3*y - 5. Let t(x) = -5*x**3 - 3*x**2 + 2*x - 3. Calculate w*z(o) - 5*t(o).\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 39424*d - 78840. What is w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2 + 2. Suppose -72 = -4*h - v*h. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 6*c - 11. Let i be q(-6). What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 17*h + 101 + 106 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/20 - 7*w**4\/12 - 4*w**3\/3 - 2*w**2 - w. Calculate the smallest common multiple of n(-6) and (-76)\/(-20) - 1\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**2 + 118*g**2 + 8*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 3\/2 (c) -11 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*21\/(-12)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.344382m?\nAnswer: 34.4382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let s be (-5)\/20 - 47\/4. Let p be 0 - ((-2)\/s)\/(-1). Which is the second biggest value? (a) h (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7987 and 1274.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41)\/451 - 112\/(-22). Let j(l) = -l - 2. Let v be j(-4). Let m = v + -2. Solve 2*u - p + 6*p + 10 = m, 0 = -b*u - 4*p - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) - (151 - 150 - (-266)\/(-8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41850 or 41849?\nAnswer: 41850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5))\/(1\/10). Let m = -1290\/7 + 184. Let c be -3 + 1*(0 + -2). What is the second biggest value in c, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150ee8e (base 15) to base 7\nAnswer: 243343520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 22. Let q(m) = 9*m**2 + m - 2. Let l be q(1). Let a be (-4)\/b + 98\/l. Calculate the greatest common factor of 18 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 - l**2 - 4*l + 1. Suppose -5*y + y - 12 = 0. Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24896329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -d. What is the second derivative of -4*p**4 - d*p**4 + p - 5*p wrt p?\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2. Let i(v) = -191*v**2 - 24*v + 7. Let f(l) = 382*l**2 + 60*l - 17. Let a(b) = -4*f(b) - 10*i(b). Calculate c(a(z)).\nAnswer: 437772*z**4 - 4584*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408604 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z*z*z*z**6)\/(z**(1\/4))**3 assuming z is positive.\nAnswer: z**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 588291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.2 + 0.8. Let b = -67.88 + l. Let o = 0.1200072 - b. Round o to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*5 + -1*-2*sqrt(187))\/(sqrt(33)\/(sqrt(3) - 4*sqrt(48))).\nAnswer: -180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -215*n**2. Let d(x) = 7*x. What is d(y(i))?\nAnswer: -1505*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 2773*b**4 - 13882*b**3 + 22220*b**2 - 11112*b = 0. Calculate b.\nAnswer: -2778, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2*c**2 - 2*c + 57. Is 19 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 + 11 = 0. Solve 4*h + o = -k - 0*k, -3*h + k = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 15. Let p be (-2)\/(-6) + 8\/j. Let k(g) = -301*g + 301*g - 3*g**2 + g**3 - 4. Determine k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 152227, -0.13, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.3.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17552 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.493162 months in years?\nAnswer: 0.4577635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312 + -286 - (33 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -433275 and -195.\nAnswer: -433470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27133*f - 8290*f - 8088*f - 8556*f.\nAnswer: 2199*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1449991920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(1\/11)\/(t\/(t**(-2\/3)*t*t))**(-32) assuming t is positive.\nAnswer: t**(-349\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 - (-255)\/(-75). Let g(m) = -m**3 - 3*m**2 - m + 1. Let n be g(q). Find the first derivative of 4*u**3 - 82 - 4*u**3 - 11*u**n + 68 wrt u.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(129*c - 106*c + 0 + 1).\nAnswer: -46*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84154416933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 - -4002?\nAnswer: 3460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 8:49 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*s**2*y + 1205*s**2 - 1002*s*y - 2*s - 2*y + 2 wrt y?\nAnswer: 9*s**2 - 1002*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-6))\/((-31)\/(-372)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 140.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a + 5\/2*a**2 + a**3 - 1\/2*a**4 - 1. Let w(n) = 3*n**3 - 5*n**2 - 9*n + 1. Let d = -20744 + 20739. Give d*s(r) - 3*w(r).\nAnswer: r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*t + 2 = -2*t, -2 = 2*v + 2*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 593465001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 2, -5, -24, -61, -122?\n\"Answer: -m**3 + 3*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9819, 9746, 9619, 9432, 9179?\n\"Answer: -f**3 - 21*f**2 - 3*f + 9844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y + 6 - 6 - y + 0*y - y + (3 - 3 - 2)*(4*y - 4*y + 2*y) + y + 2*y + 2*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.4451 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjrrirhihhihhhi. Give prob of sequence hij.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(117) - (-5 + sqrt(117)*1 - sqrt(117))) + 5 + (sqrt(117) - (2 + (sqrt(117) - (sqrt(117) + -2*sqrt(117)))) - sqrt(117))*4)*-4)**2.\nAnswer: -275547 + 5544*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235288.62 months in years?\nAnswer: 19607.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 + 10*i - 3. Let b be 2\/(-5) + 84\/(-15). Let q(x) = 7*x**2 + 9*x - 3. Let a(z) = b*t(z) + 7*q(z). Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.97 - 3.57. Let m = -55 + l. Which is the second biggest value? (a) 3 (b) m (c) -2.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrgrrrgr. What is prob of picking 3 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.381595 years to millennia.\nAnswer: 0.007381595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 61. What is the second biggest value in 0, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -440 + 345. Let u be (114\/f)\/(3\/(-10)). Solve -2*i - u = -c - 9, 4*c + 13 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1772*u**3 + 1776*u**3 + 2*u + 2*u + 32*u**2 - 5*u to a + x*u + f*u**2 + h*u**3 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(5*z + 8 - 8)*(-z**3 - z**3 + 0*z**3) + (4*z + 0*z + 0*z)*(0*z**3 + 2*z**3 - z**3) to c*z**4 + u*z**3 + g*z + f + n*z**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*x**6 + 7*x**3 - 745*x**2.\nAnswer: -2160*x**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r - 11. Give f(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 215631?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 472*j. Let d(t) = -4*t - 4. What is f(d(x))?\nAnswer: 16*x**2 - 1856*x - 1872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -11*q**9\/15120 - q**5\/120 - q**4\/4 + 21*q. Let y(g) be the third derivative of l(g). Differentiate y(p) wrt p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1857 - -2032. Suppose -3*g + 4*n = -29, 0*n = g + 2*n - 3. What is the highest common divisor of a and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -409751893 and -0.01.\nAnswer: -409751893.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*d**2 - 3 + 3 - 21*d - 93*d**2 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 5*q - 10*i - 44823, -3*q = -7*i - 26888. What are the prime factors of q?\nAnswer: 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*t**4*x**3 + 296*t**4 + 8*t*x**2 - 690*t*x - 3*x**3 wrt t?\nAnswer: 432*t**2*x**3 + 3552*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/62 - 1530\/(-2916)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 3*x + 21*x - 11*x + 513.\nAnswer: -2*x + 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 335151871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 minus -11.2028?\nAnswer: 10.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y. Let p(s) = -390005*s**3 + s**2 + 5*s - 1. Let j(c) = p(c) + 4*x(c). Let i be j(1). Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 124*g - 2276. Give f(16).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -350*b**2. Let u(i) = 2*i**2 + 2*i - 176. What is u(n(k))?\nAnswer: 245000*k**4 - 700*k**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Product of 256 and 112.\nAnswer: 28672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1414330135 (base 6) to base 13\nAnswer: 3774a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(152)*-4 + (sqrt(608) - sqrt(38))*1 + sqrt(38))\/(-5*(1*sqrt(2) + sqrt(2))*5).\nAnswer: -1 + 2*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*w*z**4 - 2*w - 2*z**5 + 41*z + 2 wrt z.\nAnswer: 1464*w*z**2 - 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 319273828 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*s - 24*s**3 - 8*s**3 - 3*s wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0525 - 219.1525. Does d = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, -71, -3, 5, 0.2, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*1\/(3\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -9297.\nAnswer: 204534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19823 + 58120. Suppose 3*j = -5*v - k, 9*v + 4*j - 7664 = 10*v. What is v rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -4. Let q = v + -17. Which is the closest to 0? (a) -2 (b) q (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4645596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0, 1.415, -2?\nAnswer: 1.415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10968 divided by 5484.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - m = 17, 2*m - 4*m - 16 = -2*h. Let n be 2\/(-10) - ((-414)\/780)\/h. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, 1\/6, -0.75, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -80?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 8) + -7 - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23925.5 - -23922. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 22950 = -6*w. Let f be (-7)\/((-119)\/(-2)) + (-980)\/w. Determine g, given that f*g**2 + 2\/15*g + 2\/15*g**5 - 2\/15*g**4 - 4\/15*g**3 - 2\/15 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 455*w + 10895. Give z(-24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 7*f**2 + 11*f - 6. What is the units digit of y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/175 - -107\/175. Let g be 23*5\/(-10)*-2. Let p = g - 19. Which is the nearest to y? (a) -0.1 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261439?\nAnswer: 261439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3))**(-11)*(g**0\/g)**(-33) assuming g is positive.\nAnswer: g**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 729631176 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**3 - u**3 + 5 - 6*u**2. Let y be b(6). Suppose 5*m - 194 = -y*q - 34, 3*m - 164 = -5*q. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021200001 - 2210?\nAnswer: -110021202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 44 = 5*h - 2*z, -5*h = -3*z + 56. Are -10 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 - -429. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9245431 is divided by 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*h + 238 = 0. Calculate the remainder when h is divided by 3\/((-6)\/(-4)) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -8. Let d(t) = -66*t - 3027. Let m be d(-46). Solve 5*o = q*o - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.9 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let u be 3\/1*(60\/(-9) + 7). Sort 3, h, u in ascending order.\nAnswer: h, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484 (base 9) to base 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.199 + 0.08. Let t = p - -1.119. Sort t, -6, 0.1 in decreasing order.\nAnswer: t, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 399300 divided by 3630\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puuuuuupppuko. What is prob of sequence koou?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1352, 2541, 3528, 4271, 4728, 4857, 4616, 3963?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347758, -703783, -1059796, -1415791, -1771762, -2127703?\n\"Answer: k**3 - 356032*k + 8273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:36 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 divided by -6?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234.083723 + 0.000277. Let w = -234 + k. Is -2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23 - 6*(-2)\/4. Let x = 49 - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 14. Is 12 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/sqrt(490)*-6.\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 549\/6*(-3696)\/(-5544)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -148168, -148178, -148188, -148198?\n\"Answer: -10*g - 148158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1922 in 3, 0.5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2616283 or -2616292?\nAnswer: -2616283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 106139*o + 318432. What is j(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {o: 3, l: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = s, -15 = -s - 2*s. Suppose z*v = 2*b + 12, 0 = -2*v - 0*b - 3*b - 5. Solve -v*x - 3*w + 11 = -4*w, -4*x = -3*w - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.33 - -0.03. Let h = 215654\/4431 - 4\/1477. Let c = h - 48. What is the closest to c in -0.1, 2, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:35 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**3 - 3*u - 5*u**2 - 10*u**3 + 0*u**2 + 0*u + 3. Let w(p) = -2*p**3 - 6*p**2 - 4*p + 3. Calculate 4*m(j) - 3*w(j).\nAnswer: -2*j**3 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -52*g + 250. Let c(n) = -18*n + 85. Calculate -11*c(y) + 4*j(y).\nAnswer: -10*y + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:35 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(69 + -74).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*-2*sqrt(605) - -3*-1*sqrt(605)*5)**2.\nAnswer: 320045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 1. Let n(r) be the first derivative of -3*r**2 + 3*r - 3. Let d(m) = 3*n(m) + 5*p(m). What is the derivative of d(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 245 = -2221. What is the highest common divisor of i and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -4343.8.\nAnswer: -4348.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (6 - (1 - 2)). Let w(q) = -q - 3. What is the units digit of w(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 5*j - 54. What is the remainder when (-2*(-255)\/25)\/((-4)\/(-20)) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 - 93. Let i be q(0). Which is smaller: -96 or i?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -32.1. Let t be ((-6)\/(-9))\/(10\/(-15)). What is the closest to v in 0.3, t, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311.2 + -302.1. Let s = 712 + h. Let q = s - 99. Which is bigger: q or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7928*b + 6942*b + 2531 = -1413 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = 24*g - 989104 - 435356. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*n - 101756, -5*n - 4*j = -100347 - 154043. Let w be 625\/(n\/(-16960) + 3). What is w rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1358, 1326, 1?\nAnswer: -1358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -x - 112. Let u(t) = -24*t**2 - 16*t. Let h(z) = z**2 + z. Let s(f) = x*h(f) + u(f). Let y(d) = 2*d**2. What is s(y(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5749018?\nAnswer: 2, 11, 29, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:47 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 5*h**2 + 5*h. Let j be d(2). Let t(v) = -1 + 3*v + 7*v**2 + v**3 + 4*v**3 - 6*v**3. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138429 is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 1 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0 - 2\/11*s**5 + 14\/11*s**2 - 4\/11*s - 18\/11*s**3 + 10\/11*s**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -767313.46450544 and 0.2.\nAnswer: -767313.26450544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b - b**2 + 5*b - 6*b**2 + 19*b**2 + 3*b**2 + (4 - b - 4)*(-3*b + 0*b + b) + 85*b**2 + 42*b - 42*b.\nAnswer: 102*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 + 4 = 0. Suppose 0 = o + 4*p + 18 - 58, -2*o + 80 = -2*p. Suppose 0*n + 5*c + o = 5*n, 0 = 4*n + c - 17. Solve -2*r = f*r + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73752601 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -101. Calculate the remainder when 16 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -655 - -2306. Let v = a + -966. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4265100 (base 7) to base 15.\nAnswer: -a42c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7.4. Which is the third biggest value? (a) -3\/10 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4) - 2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a + 9 = 0. Let c = a + 13. Suppose -c*u = -0*u - 28. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 7*x - 8. Let b be c(-6). Let z = -224 + 225. Let r be (-3 - z)*b\/(-36). What is the second smallest value in 5, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*j + 22*j - 30*j - 10*j)*(-9 + 3*j + 9) - 4*j**2 - 15*j**2 + 5*j**2.\nAnswer: -308*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2980 (base 11) to base 13\nAnswer: -1994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1 (b) -2\/7 (c) 0.4 (d) 5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -151b412 (base 12) to base 15\nAnswer: -5954d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 + 28095*j**2 + 253310*j - 281400 = 0 for j.\nAnswer: -10, 1, 5628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbzx when four letters picked without replacement from {a: 2, b: 7, z: 1, x: 2, o: 4}.\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - -17?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 11*f**2 + 13*f - 11. Let j be b(12). Suppose 2*g - 11 = -j. Let i be (-1*1)\/(g\/(-5)). Sort 0, i, -1.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -208, 84 in increasing order.\nAnswer: -208, 4, 16, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 (base 12) in base 14?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 31*u + 33300. What are the prime factors of u?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -220?\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -719118 by 4.\nAnswer: -359559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 5*o + 4. Suppose s = 3*n - 94, s = -n + 2*s + 34. Suppose -4*k = k + n. Let x be v(k). Does -2 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) 5 (c) 8 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*o - 6 = -4*o, -2*x = 2*o - 8. Suppose 5*b - 430 = -x*j, 5*j - 4*b - 160 - 252 = 0. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 - (sqrt(2) - (3 + sqrt(4)\/sqrt(2))**2)) + 2.\nAnswer: -13*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084727635?\nAnswer: 3, 5, 11, 347, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11211 (base 3) to base 7\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -75. Suppose z*g = 2*g - 4, -5*t - 5*g + 3325 = 0. Suppose -5*u + t = -5388. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8212 is divided by 433.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + x - 3 + 8, 0 = -4*g - 4*x + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 2, -0.16, -2, -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29618441*l**3 + 269989872 wrt l?\nAnswer: 88855323*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2651 greater than or equal to -1343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 309*g**3 + 4*g**2 + 152*g**3 + 2*g**2 + 153*g**3 as k*g**3 + c*g + m + a*g**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.7663 centuries in decades?\nAnswer: 8437.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 5, x: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11 = -5*l - 0*l, -5*g = -5. Let k be (-3750)\/((-2)\/(-14880)*l). Round k to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g - 57*g - 60*g + 190*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 35 = 0. Suppose -3*c = -512 + i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716 * -1\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and -0.04?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33965197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 29253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2872 = -223. What is the second derivative of -883*q**2 + a*q**2 - 18*q + 2*q**3 + 4*q**3 wrt q?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4917559*f**6 - f**4 - f**2 + 49057223*f wrt f?\nAnswer: 590107080*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 3, j: 9}. Give prob of sequence jjff.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222 (base 3) to base 4.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9049, 9041, 9019, 8977, 8909, 8809?\n\"Answer: -d**3 - d**2 + 2*d + 9049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 177 = -165 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*x**3 + 5*j**2 + j*x**3 + 203*j*x**2 + 19*x wrt x.\nAnswer: -12*j**2*x + 6*j*x + 406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w - 2*o, -3 = 3*w + 4*o - 0. Suppose -c + 2*d = 2, -5*c = 6881*d - 6879*d - 14. What is the least common multiple of w and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 16. Let t = 16 - 13. Let x(f) = -2*f - 5. Calculate t*c(p) + 10*x(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 22. Calculate the remainder when 32 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a factor of 31454633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25423109.\nAnswer: 17, 1495477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from yqayqyqa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 10*m**2 + 2*m - 14. Give v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11234\/21 or -534?\nAnswer: -11234\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l + 34*l - 66*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:35 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 25*h - 27. Let i(d) = 2*d**2 + 13*d - 14. Let f(g) = -5*i(g) + 3*n(g). Let r(p) = -2*p - 16. Let c be r(-12). Determine f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-3) - 4) + (-2 - 1). What is the second derivative of 5*i**4 + c*i + 6 + 9*i**3 - 9*i**4 + i**4 + i wrt i?\nAnswer: -36*i**2 + 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234600 is divided by 1422?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466492 - 2685 + 604191 = -13332*u + 148090 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + g)*(132 - 34*g**2 - 132).\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*h + 46 - 33 = s, -9*s - 33*h + 31*h = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/12 - 4*r**3\/3 + 5*r**2\/2 - 25*r. Suppose -2*z = -92 - 74. What is the remainder when z is divided by x(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 37467484*y - 74934976.\nAnswer: 2*(y - 18733744)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-33215))\/((-2)\/(-32280)). Let q = -1\/949 - l. Calculate the common denominator of ((-608)\/(-216))\/(6\/(-9)) and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 3*a**4 + 5*a**4 + (2*a**3 + 0*a**3 - a**3)*(-2 + 2*a + 2) + a**4 + 3*a**4 - 5*a**4 + a.\nAnswer: 4*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -461 + 461. Let q = -2 + 0. Let o(n) = -3*n - 3. Let y be o(q). Solve -y*h + 2*h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1419 = 76211*b - 76178*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(112) + 0 + -1 - 5*(sqrt(112) + 2)) + -2)**2.\nAnswer: 27936*sqrt(7) + 154561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20189377 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -314 + 467. Suppose -4 - j = -m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -9224\/5, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -283, -2\/3, -0.7 in ascending order.\nAnswer: -283, -0.7, -2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13993994 and 5892208?\nAnswer: 111951952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -38. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 320 = 6*u. Let y = -6 + u. Is y 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 -1925, -6940, -15305, -27026, -42109?\nAnswer: -60560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + v. Let k = 9 + -6. Suppose k = -5*f - 2. Let h = 2 + f. Determine z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-12)\/(-8)) - -12. Suppose -1 + g = 3*k. Suppose -k*n + 3*h = -4*n - 6, 0 = -5*n + 3*h + 6. Solve n = -j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 19.63\nAnswer: -58.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 8*r + 2*r**2 - 137 + 131. Give t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwndgdndgnnndngznn. What is prob of picking 1 n and 1 d?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*a - 44 - 8660 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-385) + (-7)\/49?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2014\/1995 - -8*((-10)\/(-14))\/(-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + s**2 - 3*s**2 - 27*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 + 11*m - 6. Let k be f(10). Calculate the lowest common multiple of 11 and (-2 - -2) + 16\/k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b84 + -2f?\nAnswer: -3bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -41, 1, -5, 10 in increasing order.\nAnswer: -41, -5, -3, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 44 + 212*h**2 - 209*h**2)*(0 + 0 + 3) to the form d*h + c*h**2 + r and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -1157, -362, 749, 2176, 3919?\nAnswer: 5978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 20. Suppose -i*o + 58 = -7. Calculate the remainder when 38 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11510136 is divided by 11510108?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 3*w**5\/10 + w**4\/12 + w**3\/6 + w**2\/2 + 7*w. Let l be v(-1). Suppose -4 = p - 0*p. Is l not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/10 - 2*g**4 + 137*g**3\/10 - 167*g**2\/5 + 6*g\/5 + 252\/5 = 0. What is g?\nAnswer: -1, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2031974?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 + 28720*w**4 + 41155625*w**3 - 247968750*w**2.\nAnswer: 5*w**2*(w - 6)*(w + 2875)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613a9 (base 14) to base 15.\nAnswer: -494d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:50 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32729377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*a + 12 = 0, 9*a = -o + 7*a - 3. Put o, -209, 0 in decreasing order.\nAnswer: 0, o, -209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -16. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/132*-2*-1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 603135051*r**4 + 736481403*r**2 wrt r.\nAnswer: 14475241224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:18 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 43550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 64. Suppose 680 - 2088 = -w*k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3*x**2 - 7*x**2)*(3*x - x**2 - 3*x) + 26*x**4 - 26*x**4 - 14*x**4.\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose -1 = i - s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 147. Let b(j) be the second derivative of 0 + 1\/4*j**4 + 4*j - j**3 + 3\/2*j**g. Factor b(z).\nAnswer: 3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1590, 8, -0.066 in decreasing order.\nAnswer: 1590, 8, -0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, 529, 1449, 2737, 4393, 6417, 8809?\n\"Answer: 184*t**2 - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/461 or 1?\nAnswer: 2\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 + 5*r**3\/3 + 7*r**2\/2 - 8*r + 3. Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648 - 616. Solve 0 = h + 34 - o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 117\/9)*2\/138\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1419.2*-21\nAnswer: 29803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/35, 1\/6, -1\/14 in increasing order.\nAnswer: -4, -4\/35, -1\/14, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -2*y + 152. Which is the fourth biggest value? (a) 1\/5 (b) -3 (c) 10 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2 + 3*u + 29287. Let k(b) = 0*b + 2*b - 4*b. Calculate c(k(t)).\nAnswer: -4*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6*o**2 - o - 7. Let c be w(-5). Solve -2*k - 3*k = 25, j + 5*k = -c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 22496*c**3 + 62280330*c**2 + 5523760908*c.\nAnswer: 2*c*(c - 5667)**2*(c + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/12 - 1)\/(1 - 0). Sort q, 0.4, -0.2 in descending order.\nAnswer: 0.4, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35\/123 - -2\/41. Which is smaller: 21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, -5, -0.1, -1 in decreasing order.\nAnswer: 3\/14, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 33 = 2*a - 3, 5*l = -3*a + 107. Solve 0 = 35*r - l*r + 96 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1814 + -1577. What is the remainder when g is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ncczecnxne.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 4*a - 32, 3*a + 21 = 3*z. Suppose -2*p + w = -w + 8, 5*p + 2*w = 8. Suppose -5*h + 10 + 10 = p. Solve -2*c = z + h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 159*g**2\/2 + 80*g.\nAnswer: -g*(g - 1)*(g + 160)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-413192)\/(3 + -32) + (-3)\/(-1).\nAnswer: 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 12*c - 5. Let s be n(12). Let g(j) = j**2 + 3*j - 6. Let v be g(s). Let m = v - -10. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let p(w) = -4*w - 2. Let a(c) = 3*f(c) - p(c). Let d(v) = -2*v**3 - 3*v**2 - 2*v. Let g be d(-2). Let b be 18\/(-14) - g\/(-28). What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 45) + (-8 - -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 15148 - 133185 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b - 12*b + 3*b - 9*b + 11*b. Let l(k) = 202*k. Give j(l(t)).\nAnswer: 202*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -5*sqrt(72)*1)**2*-4*-1.\nAnswer: 3840*sqrt(2) + 29056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - r - 77. Suppose -2*c - 5*i + 19 = 0, 8 - 2 = -3*c + 4*i. Calculate the remainder when (-39)\/(-5)*(c + 3) is divided by k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14214 = -169*n - 3311*n - 6666 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10482, -8072, -5662?\n\"Answer: 2410*f - 12892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -178, 69, -370, 2\/3, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1291330 and 14465?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 16*k - 40. Let x(s) = 13*s**2 - 47*s + 117. Determine -7*u(d) - 2*x(d).\nAnswer: 2*d**2 - 18*d + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -181775.\nAnswer: 4\/181775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 4*z**2 + 2*z - 55\/6*z**3 + 0*z**4 - 53\/60*z**5 + 0. Differentiate q(j) with respect to j.\nAnswer: -106*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22355*f**3*s - 2078*f**2*s + 49885143*f*s wrt f?\nAnswer: -134130*f*s - 4156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -14*k + 130. Let o be r(9). Suppose 0 = 3*l - 2*l + o*n + 18, 4*n + 16 = -2*l. Solve 0 = h - i + 2, l*i = 3*i - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 4*j. Let s be y(2). Let o be s\/(-2)*(-12)\/24. Is (o\/(-2))\/(12\/114) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -11 - 33) + 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/210*-17*((-104)\/4420)\/((-2)\/10).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 3. Let w be 14\/(-8) + 5\/(-20). Determine l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26571\/10 + 2662. Let c(p) = -31*p**3 - p**2 - 2*p + 1. Let y be c(4). Let v = y + 19971\/10. Find the common denominator of v and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28420 divided by -290.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 188\/(-15) + (-40)\/(-10). Let y = l + 36\/5. What is the third smallest value in -4, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - (-5 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 13) to base 7\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02583 plus 155081640?\nAnswer: 155081638.97417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**18*j)\/j**5)**(1\/27) assuming j is positive.\nAnswer: j**(14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2595711.9 months?\nAnswer: 2163.09325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**2 + r**3 - r**3)*(-9 + 282 - 43)*(0 + 3 - 2)*(4 - 2 - 1).\nAnswer: -230*r**3 - 460*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 422675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 573, 527, 481, 453, 461, 523, 657?\n\"Answer: 3*k**3 - 18*k**2 - 13*k + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -15*u + 914 - 849, c - 5*u + 19 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwozzowzzzwooovow. What is prob of sequence ouoo?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 12*z - 55*v + 59*v, 3 = 2*z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 18. Calculate the remainder when 46 is divided by n(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.1, -2\/3, 61647?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 11*r**2 - 24*r + 2. Let t be h(-10). Suppose -10 = -8*y + t. What is the highest common factor of y and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 11:35 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:05 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z + 9. Let t(s) = -2*s - 2. Let p(b) = 5*b + 7. Let q(w) = -p(w) - 3*t(w). What is -2*n(r) - 18*q(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hho?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -165 in 7\/6, 0.4, -1\/2, 0, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + v = -274, 3*v + 544 = -0*m + 4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-4))\/(-2 + 0). Let v(a) = 20*a + 1. Let g be v(h). What is the tens digit of (0 - 2)*(9 + g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, c: 6, l: 2, z: 4}. Give prob of sequence lzcc.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/5 + 2*j**4\/5 + 2*j**3 + 6*j**2\/5.\nAnswer: -2*j**2*(j - 3)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -0.11?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Let z be 0*(-3 + (-10)\/(-4)). Let j(a) = z*a**2 + 0*a**2 + 0*a**2 - a**2. Calculate j(o(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4 - 1 + 2 + 2. Let p(x) = -2*x - 4. What is p(v) - 4*t(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*c - 35, -10 = 5*c - g - 0*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 212 - -8211?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18286095?\nAnswer: 3, 5, 29, 127, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663646?\nAnswer: 2, 17, 131, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Solve 5*r - 2 = -3*a, h*a = 3*r - r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s + 9 + 1\/3*s**3 + 1\/2*s**2. Let a be u(-3). Solve 0 = a*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.218?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 43, 60, 97, 160, 255, 388?\n\"Answer: g**3 + g**2 - 7*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 299\nAnswer: 1166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w + 3*b, -2*b = 3*w - 3*b + 8. Let h(t) = -t + 7. Let o be h(6). Let u = o - w. Solve -u*g - 8 = -6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or 211940?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24)*1)\/((-12)\/(-160))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 12. Let o(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - 7*n**3\/6 - 4*n**2 + n. Calculate o(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.112\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 4, w: 1, s: 1, n: 6, j: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/343566 and 82\/72549687?\nAnswer: 435298122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45, 0.3, -2, -1\/4, 1\/7, -0.14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-21) - 90\/(-81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*y - 1226*y - 138*y = 9*y + 171936 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 15 + 4*m - 7)*(-83 - 48 - 46).\nAnswer: -708*m - 354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**3 - y**2 - 1. Is 10 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 54250?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:23 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*g**3 + 4*g**3 - g**3)*(0 - g + 0) + (2 - 2*g - 2)*((3*g + 0*g - 4*g)*(0*g**2 - 2*g**2 + 0*g**2) - 4*g + 4*g - g**3))*(-26 + 58 - 17)*(-1 + 1 + 1).\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/(-30) - -4) + 4976\/10. Let n = l - 496. Suppose 4*c - 8 = -w, -3*c - 3 = -w + 19. Solve -n*y = 2*y - w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - r - 1 + 6 + (-3 + 4 - 2)*(-4*r + 5*r - 4*r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140*a**5 - 2981*a + 2981*a + (2*a**3 + a**3 - 2*a**3)*(a**2 + 1 - 1) - 3*a**5 + 33*a**5 + 45*a**5.\nAnswer: -64*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17032 divided by 20?\nAnswer: 4258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5788*v + 5775. Determine u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122\/9 or -15?\nAnswer: -122\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) 2 (b) -26.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1951a33 + 2?\nAnswer: 1951a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 - -11?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 - g - 11. Let p be j(-3). Let z = -7 - -10. Suppose -z = -n - p. Solve -n*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-9)*(-1)\/(-2). Let n be (5 - 3) + 0\/2. Suppose n*x + 10 = 3*h, 0*x = -x + 3*h - 8. Which is the smallest value? (a) -5 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 63. Let c be f*1\/(-9) + 110\/(-90). Let o = -101\/9 + 7189\/639. Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13043 is divided by 352.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395131 + 2*b - 395053 - 5*b.\nAnswer: -3*b + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -12. What is the second derivative of 2*c - 8*c + q*c**4 - 18*c + 3*c wrt c?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from hphhhrrhrprhrh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**2 + 19*w**2 - 23 - w**2 - w**3 + 5*w. Let a be b(4). What is the greatest common factor of a and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from dppdddhhhddpudddhdd.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2318.067.\nAnswer: -1159.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 9913?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 + 6*m + 6. Let h be v(-5). Let a be h\/(-2)*2 + -1. Which is smaller: a or -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -111030 (base 5) in base 2?\nAnswer: -111100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -14*y**4 + 472*y**3 + 56*y**2 - 1888*y = 0.\nAnswer: -2, 0, 2, 236\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24367 (base 8) in base 10?\nAnswer: 10487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1a04869a?\nAnswer: -1a04869b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/((-5)\/10). Suppose -z = 2*h - x*z + 5, 0 = -2*h - z + 15. Suppose -3*k = 2*k - 45. Solve -c + h*c = 4*s - 12, -s = 2*c + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d12 + -2?\nAnswer: 1d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 151 = -5*c, -103 = -14*c - 4*v + 333 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.51475916 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76.60971 centuries?\nAnswer: 91931.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9\/5188, -20, 2 in ascending order.\nAnswer: -20, -5, -9\/5188, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let c(h) be the third derivative of 0*h + 0*h**3 + 3*h**2 + 0 + 1\/30*h**5 + 0*h**4. Give c(l(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8025 divided by 321?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130952 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = 18*q - 23*q, -v = -5*q - 13. Solve -v*h + 9 = -6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f + f - 21*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 395 - 2019. List the prime factors of m.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -24*b - 8. Let j be c(7). Let h = -22 - j. Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3066b87 - -12?\nAnswer: -3066b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from {u: 3, s: 3, x: 2, l: 1, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 35 = -4*y + 5*a, -2*y + a + 14 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -13899\/25382?\nAnswer: -13899\/25382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q - 11. Calculate m(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 10. Let n be z(8). Suppose -f = -5*o + 2, -19 = f + n*o - 3. Let b = -7 - f. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1846.948ml to litres.\nAnswer: 1.846948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 118. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156.9999566 - 157. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114856340 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9512*u**3 - 22248*u**2 wrt u.\nAnswer: 57072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -q + o, -243*q - 3*o - 5 = -241*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-21)*9\/1 + -7 - -10. Let c = 6 + -1. Suppose h*r = c*r + 3433. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {e: 1, g: 1, b: 1, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 11*l + 4. Suppose -3*s + 546 - 561 = 0. Calculate n(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*a = -70, -4*t + 43 = a - 15. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let s(t) = 4*t**2. Let g(w) = 5*w**2. Let l(v) = 5*v. Let c be l(1). Let r(h) = c*g(h) - 6*s(h). Calculate d(r(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyywyyyyywywwyyyyyyy. What is prob of picking 2 w and 2 y?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 292045158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*u - 397*u**4 + 8*u + 398*u**4)*(-u + 3*u + u).\nAnswer: 3*u**5 - 108*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*u - 7*u - 9*u)*(-304*u + 320*u - 10 + 5).\nAnswer: -720*u**2 + 225*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - 2) - (-11 - -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -4*z + 2*b, 3*z - 355 = -b + 2*b. Suppose z = 2*u - 4*p + 3*p, 4*p - 264 = -4*u. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.57 (b) 6\/11 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 566621, 566622, 566623, 566624, 566625, 566626?\n\"Answer: i + 566620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 50.47945.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**4 + r**3)*(-2 - 1 + 4) + 10*r**4 - 5*r**4 + 7*r**4.\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 10. Suppose -603 = -u*l - 78. Let f be ((-6)\/l)\/(3\/(-15)). Which is the closest to f? (a) 4 (b) 2\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 20 = -r - 21*d, -5*r + 5*d - 20 = 0. Factor 0*p + 1\/3*p**5 + 0 + r*p**3 - p**4 + 4\/3*p**2.\nAnswer: p**2*(p - 2)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (10 + -16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 11, q: 2, b: 1}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 + -159. What is the closest to n in 3, 3\/10, 2\/13, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20940 and 8660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -193 + 193 + 0*t - 7*t**4 - t**3 - t + t**2 in the form x*t**3 + a + o*t**4 + d*t + f*t**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 3, n: 2, j: 2, a: 3, r: 1}. What is prob of sequence jqn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -106. Suppose 2*p - 4*p = u - 14, 3*u - b = 2*p. Solve -2*m - 5 = 5*n - u*n, 0 = -5*n + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46276 times -0.07\nAnswer: -3239.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j*j**(2\/7)\/j)\/((((j*(j*j**(3\/10))\/j)\/j)\/j)\/(j\/j**12)) assuming j is positive.\nAnswer: j**(-1261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -0.3, 8, -0.4, -2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120233023 - 1?\nAnswer: -1120233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 88*j**2 - 40*j + 1987. What is z(-43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258 + -243. Suppose 4*m - 5*i - 4314 = 0, 18*m = u*m + 2*i + 3239. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2563 = 3*h, -3*f - 3*h - 2988 = -10725. List the prime factors of f.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/86, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 2*q - 2*q)*(2 + 1 - 2) - 7*q + 4*q + q + 9918*q**2 + 43336*q**2 + 4187*q**2 in the form p*q**2 + u*q + f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 9 = 5*i, k + 52*i - 7 = 49*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Suppose 2*c = -l*u + 3*c + 541, 5*u = 4*c + 911. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 30*d + 219. Let p be b(9). What is the highest common divisor of 180 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8229 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: What are the prime factors of 8795?\nAnswer: 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 292.826 or -1\/2?\nAnswer: 292.826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -0.1. Is u greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/792 and 65\/297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*l**4 - 675*l**4 + 371*l**4 + (5*l**3 - 4*l**3 - 2*l**3)*(-3*l + 3*l - l).\nAnswer: -352*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104497 is divided by 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -29*i**6\/6 - i**5\/5 + 5*i**2 + 3*i + 69. What is the second derivative of l(p) wrt p?\nAnswer: -580*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100617 divided by 4\nAnswer: 100617\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + sqrt(99)*3 + -2.\nAnswer: -2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3328, -6642, -9920, -13150, -16320, -19418?\nAnswer: -22432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4028)\/(-60) + 2 + (-704)\/(-120) + -8.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y + 5. Let l = y + 3. Differentiate l + 6*x**4 + 1 - 3*x**4 + 0*x**4 with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6682 is divided by 6645.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s**2 + 28 - 16 - 12 - 20*s**2 + 19*s as q*s**2 + v + o*s and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5384, 21390, 48066, 85412, 133428, 192114?\nAnswer: 261470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let x = -8 + 7.8. Which is the third biggest value? (a) v (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -722939 + 367939. Round g to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = 39*l - 6464. What is the remainder when l is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1143, 4766, 8389?\n\"Answer: 3623*s - 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -12*f**2 + 1\/4*f**5 + 0*f**3 + 0*f**6 + 0*f**4 + 0*f + 0 + 11\/210*f**7. Find the third derivative of y(r) wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}