diff --git "a/data/dm_maths/full_data_2/1899_11255.jsonl" "b/data/dm_maths/full_data_2/1899_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1899_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the derivative of m**3*v**4 + 2*m**3*v - 5*m**3 - 268*m**2 - 18*m*v**2 wrt v?\nAnswer: 4*m**3*v**3 + 2*m**3 - 36*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151\/30 + -176\/15. What is the common denominator of -99\/14 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 0, -7313, 3 in descending order.\nAnswer: 3, 0, -83, -7313","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183427 and 4798687?\nAnswer: 5917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 63 = 12*c - 15*c, -c = 4*j - 105. Solve -47 = 5*y - j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-2)\/(6\/3). Suppose -q + 13 = u. Solve 0 = -5*p - q, 2*n + 8 = -2*p - 2*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 5*a + 1. What is o(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172.6 + 131.6. Which is the nearest to z? (a) -0.2 (b) 1\/2 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100265211.6 rounded to the nearest one hundred thousand?\nAnswer: -100300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-39)\/130*-167*1\/(-18) and ((-7)\/(-140))\/(1\/(-121)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 37, 440, 3 in decreasing order.\nAnswer: 440, 37, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.075? (a) 38 (b) 4 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*w**2 + 38*w**2 + w**5 - 46*w**3 + (0*w - w + 3*w)*(-3*w**4 + 0*w**4 + w**4).\nAnswer: -3*w**5 - 46*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**6 + 276*s**4 + 128*s**2 wrt s.\nAnswer: -120*s**3 + 6624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 11*p**2 + 9*p + 12. Let s = 31 - 21. What is the units digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116075.\nAnswer: 5, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 3, s: 4, b: 2, w: 1, q: 2}. Give prob of sequence bwa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 5*r**2 + 3*r**2)*(-3*r + r + 3*r) + 6*r**3 - r**3 - r**3 + 28*r**2 + 2*r**3 - 593*r + 593*r as k + o*r**3 + w*r**2 + i*r and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 2\/9*j**2 - 20\/9*j.\nAnswer: 2*(j - 9)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-3))\/(2\/(-9)). Let l be i\/3 + 2*-1. Suppose 4*p = 3*c - 1, -5*c + 8*c + l*p - 19 = 0. Solve c*q = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22044324\/5 at least as big as 4408866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = 5*o + 152. Let a be 46\/o + (15438\/8)\/(-1). What is a rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1100011110100110110011111010?\nAnswer: 1100011110100110110011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqrj when four letters picked without replacement from abqjjrgb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 4 + 21 + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 564 + -561. Put -25, 4, -12, u in increasing order.\nAnswer: -25, -12, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 3*a - a)*(a**2 - 3*a**2 - 2*a**2).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, k: 1, u: 1, c: 2}. Give prob of sequence uks.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsul when four letters picked without replacement from {s: 3, u: 1, c: 1, r: 2, l: 11}.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14438*f - 2691 = -14369*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*i + 15957 + 130047 = 564*i for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813428 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (112\/42)\/(4\/6). Solve -g*j + 5 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 9. Let v(k) = -9*k + 18. Let b(s) = -7*p(s) + 3*v(s). Let j(h) = 1. Calculate b(c) - 3*j(c).\nAnswer: c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 27292?\nAnswer: 272a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30783.\nAnswer: 3, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141322 - -1144414?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901427.\nAnswer: 3901427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11516*w - 8134 wrt w.\nAnswer: -11516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 31769.93944 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3330 and 4734?\nAnswer: 875790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 1, h: 2, b: 5, p: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 3*l**2 - 11*l + 6. List the prime factors of z(4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 21. Let k(p) = 4*p + 2*p + p + 9 + m. Is k(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 21*b**2 - 157*b + 45. Calculate l(11).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 116*q - 837. Give l(5).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153144 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5248413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1068)\/(-24))\/(((-3)\/2)\/(-3)). Let p = n - 82. What is the highest common divisor of 77 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -572 - 2*o**4 + 572 - 1232*o**2 + 1226*o**2 + 105*o - o**3 in the form f + h*o**2 + b*o**4 + p*o**3 + u*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-23)\/p**(-11\/2) assuming p is positive.\nAnswer: p**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -3*u, -4*d = -4*u + 12. Suppose 17 = 4*m - 3*j, -3*j = -d*m + 6*m + 1. Solve -t + 12 = m*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3360 + 25?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 9. What is the remainder when u(-10) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - p + 262. Let v be r(0). Suppose -65*o - v = -67*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - 19*d + 5. Let w(h) = -2*h**2 - 9*h + 3. Determine 4*r(l) - 7*w(l).\nAnswer: 2*l**2 - 13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 12:36 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*b + 278*b = -400. Calculate the least common multiple of b and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a factor of 5884444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-24))**(-27) assuming w is positive.\nAnswer: w**648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 34, 45, 58, 73?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + 2.15. Put j, -2\/5, 0.3 in decreasing order.\nAnswer: j, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84639 - 47457 = -2752*r for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)\/h*h**(-6))\/(h\/(h*h**(-1\/5)*h)*h\/(h\/(h*h*h**3))))\/((h**(2\/9)\/h**(-1))\/((h**(-3\/8)\/h)\/h**(-5))) assuming h is positive.\nAnswer: h**(-35557\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 299*o - 4475. Give q(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 12.9, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 40, -13, 0, 19 in descending order.\nAnswer: 40, 19, 0, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1331837675 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987507462 to the nearest integer?\nAnswer: 31425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u + 5. Let z be x(-6). Let l = 15 - z. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose 100 = 3*x - 5*n, 2*x + 1 - 66 = d*n. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 125*b**2 + 8*b + 22. Is n(4) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -76, 7 in descending order.\nAnswer: 7, 6, 4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 - -46)*3\/33.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 203910?\nAnswer: -1\/40782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**5 + 0*n**4 + 0*n + 7*n**3 + 13*n**2 - 29\/60*n**6 + 0. Find the first derivative of j(o) wrt o.\nAnswer: -174*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*g + 16 = 0, -d - 2*d - 4*g + 24 = 0. Suppose -2*p = -d + 2. Find the third derivative of p*n**2 - n**5 + 4*n**5 + 0*n**2 wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000542446739 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from {d: 3, z: 2, g: 2, q: 1, f: 2, i: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 41*d + 3. Let n be j(0). Solve -4*h = -20, -5*z - n*h + 14 = -1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9582482.\nAnswer: 2, 7, 13, 37, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*t + 1827 = -4889 - 910 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 173855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538376 (base 11) in base 2?\nAnswer: 10000110011000011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 15*s = -8. Suppose -4 = -l + 3*l, 5820 = s*w - l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*b + 5292 = 134316. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -1 - (-128 + 131)) + (10 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u + 1. Let w(p) = 4*p + 665*p**3 - p**2 + 6 + 0*p + 672*p**3 - 5*p**2 - 1344*p**3. Calculate 5*t(o) - w(o).\nAnswer: 2*o**3 + 6*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0*a**2 + 1\/10*a**4 + 0 - 4*a + 3\/100*a**5 + 1\/10*a**3. Factor c(j).\nAnswer: 3*j*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128480755 to the power of 1\/2, to the nearest integer?\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4965 is divided by 355.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139 + -2406?\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 106785*d - 11816172.\nAnswer: -3*(d - 35484)*(d - 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7388 + 18385. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j = 111*j + 62. Put -3, j, -20 in increasing order.\nAnswer: -20, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-363)\/84 + -3 + 2. Let s = 6\/65 + 2493\/455. Let m = l + s. Is 1\/2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.49 (c) -0.2 (d) 306 (e) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501402 (base 7) to base 14.\nAnswer: 22b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 4*p + 2, 6 = 3*p. Suppose w*y + 2*y = 0. Suppose l - 1 + 0 = y. Let c(s) = s**3 - 2*s + 1. Calculate c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/336 - t**7\/210 - t**6\/120 + t**5\/60 + t**2 + 49. Factor u(i).\nAnswer: i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 + 110?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -50, -130, -0.06, -1, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c**2 + 308*c - 10. Calculate the lowest common multiple of f(12) and 14.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.971 + -41945.\nAnswer: -41945.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - -83. Suppose -140*b = -k*b - 25. Which is bigger: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111122102 (base 3) to base 12\nAnswer: -15192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:45 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3141 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -9*y + 217. Suppose 2*i - 474 = 2*r, -3*i = 4*r - y - 697. What is the highest common divisor of 180 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 - (-285)\/(-675). Let f = 2 - 7. Let v = -3 - f. Which is the third biggest value? (a) k (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45.5, 14, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/35 + (-24)\/(-42). Let v = -17\/28 + 5\/14. What is the second biggest value in -2\/27, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:08 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/9, 0.09, 0.5, -0.3, 75, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - 2) - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 15*j**2 + 15*j + 18. Give d(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161151504 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012134 (base 5) to base 12.\nAnswer: 96a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6260.524 - 6281. What is r rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4 + 5*v + v**2 - 1 + 2 - 4. What is the units digit of z(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -27. Is -2 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11*z - 4*x = -175, -3*z + 3*x + 147 = 0. Let b(o) = 2*o - 20. What is the remainder when z is divided by b(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 - j**3\/2 - j**2 + j. Let r be b(6). Let s(f) = -f**2 + 128*f - 370. Let g be s(3). Solve c - g*c - r = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 55*w + 52*w - 6, 0 = -h + 4*w - 7. Let n be (2 + -1)*-2*2. Sort h, -24, n.\nAnswer: -24, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 381.45564725.\nAnswer: -381.05564725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 32 - 14*i - 39.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/3*-2 - -2. Let i(z) = -18*z - 10. Let n be i(f). Calculate the greatest common divisor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312348187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:30 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13741, 27516, 41291, 55066, 68841, 82616?\n\"Answer: 13775*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 9 - 1 - 2*d.\nAnswer: -2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/24 - (-1745)\/30. Let b = p - 41. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -191*t - 67. Let a(k) = 127*k + 45. Let c(f) = -8*a(f) - 5*h(f). What is the first derivative of c(p) wrt p?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 42989\/217?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 - 8 + 6 - r**3 - r + 0 + 2*r**2 in the form f*r**3 + u + i*r**2 + n*r**4 + b*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -11. Let q(c) = c**2 + 3*c + 3. Let d be q(j). Solve 3*s - 2*o = d*o - 12, -3*o - 4 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268698925?\nAnswer: 3, 5, 139, 269, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.037 + -6.989. Let n = -3 - -34. Let a = n + g. What is a rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317923*t + 1317926*t - 154 = 29*a, 3*a = -3*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -69 + 65. Suppose 135 - 143 = -j*n. Solve -d + 9 = n*d + 5*x, d + 14 = 4*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let j(p) = -p**2 + 5 - 5*p**2 + 2*p + 4*p**2 + 3*p**2. Let o be j(-4). Solve r - o = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 12 - 33. Suppose 8 = 4*n + 2*l, -2*l = -3*n + u + 6. Suppose 4*s - 3*h + 3 + 1 = 0, n*h = s + 10. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18135\/(-143) + 5\/((-55)\/2). Let x = 133 + r. Suppose x = b + d, b + 0*d = -4*d + 21. Which is greater: -13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-66))\/((261\/29)\/1386)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -26*w - 21. Let d be s(-1). Suppose -2*f - d*i = -2064, -4*f = -3*f - 2*i - 1050. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**3 + 5*x**2 - 4*x + 9. Let k(m) = 15*m**3 - 10*m**2 + 8*m - 19. Let q(c) = -6*k(c) - 13*z(c). What is the remainder when q(6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -436178\/23 + 1868\/23*j - 2\/23*j**2 = 0.\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 11. Let y(o) = -o**2 + 4*o - 12. Let p(z) = -4*x(z) - 3*y(z). Find the first derivative of p(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 17*o**2 + 64*o + 2. Calculate k(-10).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 0, -4*r - 3*a + 4 = a. Suppose -384 = -2*f - r*t, -t - 928 = -5*f + 2*t. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321111322 (base 4) to base 3\nAnswer: 102221012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 3232?\nAnswer: 42016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 40*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047 = k + 2*m - 1048, -10*k = 11*k + 4*m + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -312085773 divided by 3?\nAnswer: -104028591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.1 + 0.1. Let r = -13 - t. Sort 1\/2, r, 2\/7.\nAnswer: r, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2621 - 15686?\nAnswer: -13065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -8) + 16 - (-42 + 58).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/179005 or 121?\nAnswer: 1\/179005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25101 (base 6) in base 8?\nAnswer: 7175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23c2130 (base 13) to base 10.\nAnswer: 11114831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:12 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.4, 1\/7, 23, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -98, -107, -132, -179?\n\"Answer: -h**3 + h**2 + 5*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27282, 109140, 245566, 436554, 682098?\nAnswer: 982192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 8*v. Let l(y) = -y**2 - y - 1. Let r(m) = l(m) - t(m). Let h(p) = -2*p**2 - 4*p. Let a be 14\/(-4)*(-4 - -2). Give a*h(o) - 3*r(o).\nAnswer: o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 11 + 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6132*x - 2. Let k(s) = -3069*s + 1. Calculate 3*c(a) + 5*k(a).\nAnswer: 3051*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2 - -51*(-15)\/(-45)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477642519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6333?\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 76 (b) 2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 4. Let t(i) = -i - 1. Let n be t(-4). Let b = d - n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1715 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1287 - 0?\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1847 and 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1351125 + -12?\nAnswer: -1351137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 0.3 (c) -0.0193 (d) -1\/4 (e) 1 (f) -22\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -24, -9, 32, 111, 240?\n\"Answer: 2*q**3 - 5*q**2 + 2*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/4 + 16*s**3\/3 - 9*s**2 - 9*s - 16. Let j be f(-17). Let b = 1 + j. Calculate the remainder when 15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 43*k - 51*k - 74, 2*r - 5*k = 44 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80145 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o**5 - 1 + 4*o**5 + 1 + 9*o**2 wrt o.\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -8\/9715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25766026763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.024 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -7*s - 408. Let q = s + 105. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 5, k: 2, a: 1}. What is prob of sequence lu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 16) + -1 + 31.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**4 - 576*x**3 + 23828*x**2 - 67392*x + 44144 = 0.\nAnswer: -178, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 1. Calculate k(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121497725.9 rounded to the nearest 1000000?\nAnswer: -1121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v. Let y(c) = -10*c**2 + 4*c. Let z(b) = 40*b**2 - 15*b. Let j(q) = -15*y(q) - 4*z(q). What is j(g(r))?\nAnswer: -490*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c + 7*c - 4*c. Let t(n) = -9*n**2. Determine t(x(k)).\nAnswer: -900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/14301*(-6)\/4. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1 + 5. Find the third derivative of 0*p**s - 5*p**6 + 5*p**2 + 3*p**6 - 4*p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -483 + 484.88. Let d = 1.58 - l. Which is the biggest value? (a) -0.4 (b) 0.46 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**9\/15120 + z**7\/420 + z**6\/90 - z**5\/12 + z**2. Let h(n) be the third derivative of j(n). Factor h(y).\nAnswer: -4*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 + 15*n**3 - 10*n**2 = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**3 + 1. Let l(j) = j**2 - 2*j + 1. Suppose 2 = -4*m + 22. Suppose -3*n = 2*n - 5*q + 10, -18 = n - m*q. Let u be l(n). Calculate b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11006, -11002, -10996, -10988, -10978, -10966, -10952?\nAnswer: -10936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16e (base 15) in base 11?\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.3 + 60.2. Is 71 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13350\/356)\/(((-18)\/8)\/3). Let k be ((-60)\/a)\/((-6)\/(-45) + 0). Solve 3*s = -0 + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose 0 = 2*c - 4*i + w, -4*i - i + 5 = c. Find the first derivative of q + c*q + 2 + 0 wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.006 + 4.694. Let f = w + -26.7. Let t = -19 - f. What is the second biggest value in 0.3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + k + 2*k - 5, 3*t + 4*k - 37 = 0. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 22. Suppose y = 4*f - 8*f. Suppose 3\/4*u**2 - 1\/2*u + 17\/4*u**3 + f + 3*u**4 = 0. What is u?\nAnswer: -1, -2\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 58*c**2 + 3*c - 15. Let d(n) = -175*n**2 - 7*n + 46. Let f = 0 + 3. Let o(l) = f*d(l) + 8*k(l). Find the second derivative of o(q) wrt q.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12600)\/23625)\/(2\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*v + 792*v - 137480 = -26*v - 20220 for v.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2861 times 0.5\nAnswer: 1430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 at most as big as -389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**2 - 7*w**2 - 46*w**2.\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(4\/20). Suppose -4*q + 3*o = -49, y*o + 2*o = -12. Calculate the greatest common factor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69134 (base 11) to base 4.\nAnswer: -120122033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680942 is divided by 20027.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-12 - -24) - -26 - 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*n - 4, 0 = -o + 5*n - 15 + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:36 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121210201 + 12?\nAnswer: -121210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 84*f**2 - 81*f + 688. Does 33 divide g(83)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36136, -72732, -109316, -145882, -182424?\nAnswer: -218936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -15?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 6585.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**3 + i. Suppose u - 4*z + 13 = 6*u, -8 = -4*z. Calculate a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -10\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/6*634\/2536.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*h + 28, -w = -3*w - 5*h - 12. Suppose w*n + 9 = -l, -5*n = -l - 0*n + 36. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7355 or 76?\nAnswer: 7355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.2 (c) -3.1 (d) -0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -405. Let w = 5200\/17 - p. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55e (base 16) to base 7.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 5016340*c + 1258183349780.\nAnswer: 5*(c - 501634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553 or 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2729*p + 802*p + 1949*p**3 - 1948*p**3.\nAnswer: p**3 - 1927*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 284.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let f = 319 + -316. Let t(s) = 6*s**2 - s - 3. Determine f*x(y) - t(y).\nAnswer: -6*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*v = -232*v + 66. Solve -4*k = -4*a + 5*a + 6, v = -5*k - 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**2 - d**3 - 216*d**6 + 204*d**6 + 20*d - 2 - d**5 + 15*d + 4*d**2 + 259*d**6 wrt d?\nAnswer: 29640*d**3 - 60*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + t**2 - 3*t - 3*t**2 + 1 - t**2 - 11*t as u*t + j + v*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Suppose -2*k - d + 38 = -2*d, 0 = 5*d - 10. Solve 5*l + k - h = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1449.4 to the nearest integer.\nAnswer: -1449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2*(sqrt(3) - (sqrt(3) + -1) - sqrt(3)) - 4*(-5 + sqrt(3)) - (-2 + 0 + sqrt(432) + sqrt(432)*-1 + -2))**2.\nAnswer: -260*sqrt(3) + 751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125065 divided by -5?\nAnswer: -25013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 - (10 - (18 + (10 - (9 - -20))))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from azp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342880574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - y + 2 = 0, -3*y + 6*y = 6. Suppose t = 3*k + 2*g - 18, 27 = 4*k - 4*g + 3. What is the remainder when 22 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*w + 0 + 2\/3*w**2.\nAnswer: 2*w*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -317. Let c = 281.000003235 + l. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 303751+-17926\nAnswer: 285825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109612 is divided by 54049.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, c: 4, v: 3, i: 6, x: 4}. What is prob of picking 1 y and 1 i?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -5*a - 5, -a = 0. Let d(o) = -o**3 - o. Let s be d(r). What is the first derivative of -4 - l**2 - 2*l**2 - l**s wrt l?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1502 and -0.7484769?\nAnswer: 1501.2515231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.1 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {j: 4, y: 1, q: 2, v: 1, a: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373\/20 - 73\/4. Let h = -0.15 + 0.2. Which is the third biggest value? (a) f (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from {c: 3, o: 1, v: 3, q: 7}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24605?\nAnswer: 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 7\/2*j**2 - 7 + 1\/3*j**3 - 2*j. Let v(b) = -3*b - 2 + b**2 + 13*b - 1. Calculate -7*n(i) + 5*v(i).\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 2*n**2 + 2*n - 1. Let l(v) = 2*v**3 - 457*v**2 - 8*v + 4. Calculate -l(j) - 4*m(j).\nAnswer: 2*j**3 + 465*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3231899 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1063.53 and -0.02.\nAnswer: -21.2706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) - -5*(sqrt(11) + 0) - sqrt(55)\/sqrt(125)))**2*-6.\nAnswer: -499554\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.3, 2\/191?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from jjjjjjjjjjsjtjjj?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = -b + 26, -2*b = -6. Solve 0 = r + s - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 2*l - 2. Let h(p) = -p**3 - p + 1. Let j(n) = 4*h(n) + x(n). Let w(s) = 0*s + 1 - s + 0 + 0. Determine 3*j(u) - 6*w(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1222112233020?\nAnswer: -1222112233010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - -140?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -125. What is the units digit of 3\/y - (-734)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16289 divided by 2?\nAnswer: -16289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 12*b + 11. Let o be w(13). Find the common denominator of (0 + 21)\/((-4)\/6) and 37\/o - 0*(-1)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 20*f**2 + 12*f + 407. What is m(18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*z**2 - 136*z**2 + z - 4*z**4 - 12*z**3 - 5*z = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001101011001 (base 2) to base 11.\nAnswer: -45978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -8, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u. Let v(t) = -2*t**3 + 4*t**2 + 11*t. Let c be v(5). Let l = -76 - c. Let g(b) = -l*b + 5*b + 12*b. Calculate g(n(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from tuttuukttkggu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -102, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*h**3*p + h**3 - 31*h**2*p + 487*h**2 - 16486017*h*p + h wrt h.\nAnswer: -1068*h*p + 6*h - 62*p + 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d**5\/8 - 33*d**4\/8 - 21*d**3\/8 + 141*d**2\/8 - 15*d\/2 - 9\/2 = 0 for d.\nAnswer: -2, -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -13.3966\nAnswer: 53.5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908 times 90246?\nAnswer: 442927368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4*v - 522*f**4 + 1323*f**2 - 35*f*v - 44*f + v - 1324 wrt f?\nAnswer: 36*f**2*v - 6264*f**2 + 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j - 12. Let m(r) be the first derivative of -5*r**2 + 26*r - 14. Let p(q) = 2*q - 5. What is j*m(b) - 16*p(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4361473176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2 + -3 + 0. Let r(x) = -3*x - 4. Let s be r(i). Let m be (6 - -3)*s\/(-6). Sort m, 3, 1.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 36. Differentiate -211*u**3 + u**2 + 43*u**3 + 18*u**3 + 53*u**3 + g*u**3 - 150 wrt u.\nAnswer: -135*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -948*h + 177214. Give s(187).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21298697 less than or equal to 21298697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*(j*j**(2\/9))\/j)**(-5\/2)\/((j**(-1\/5)*j*j)\/j**7*(j**0)**(8\/3)) assuming j is positive.\nAnswer: j**(1447\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -735, -695, -747, -921, -1247?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(78) + -2*sqrt(78)))\/(sqrt(48)\/((sqrt(64)\/sqrt(4) + sqrt(16) + sqrt(16))\/sqrt(2))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {x: 1, e: 2, n: 5, g: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104127296 + 0.03435979.\nAnswer: -104127295.96564021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let f(m) be the second derivative of 13\/12*m**4 + 10*m + 0*m**3 + 0 + 0*m**2. What is f(q(l))?\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62112, 124490, 186854, 249198, 311516, 373802, 436050, 498254?\nAnswer: 560408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76433, -611428, -2063545, -4891346, -9553393, -16508248, -26214473, -39130630?\nAnswer: -55715281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 2*m**2 + m**3)*(3*m + m - 3*m) + (4*m**2 - m**2 - m**2)*(7*m**2 + 20*m - 20*m) to c*m + l*m**2 + o + b*m**3 + f*m**4 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 812.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from yryhzixz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 45. What is v(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:52 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 10*n - 7. Let q(d) = -2*d. Let c(k) = l(k) - 3*q(k). Let w(f) = -f**2 - f - 1. What is -c(r) + 4*w(r)?\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2472, -2527, -2586, -2649, -2716, -2787, -2862?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35424 by -6.\nAnswer: 5904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 5) to base 7.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-13) - 3600\/22048. Let p = g - -217\/530. Factor 4\/5*w + 0 - p*w**2.\nAnswer: -2*w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/3 + 4*n**2 - 3*n - 10. Let x be f(4). Suppose -2*q + 61 = x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 183 = -24*m. Suppose -5*t - 81 = -m. Let k(v) = v**3 + 2*v**2 + 2*v + 3. Let r be k(-2). Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 120*j = 0. Calculate j.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 2976?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (5 + 1 + sqrt(1584)) - (-2*sqrt(1584) + -5))**2 + -4*(sqrt(1584) + (sqrt(1584)*2)**2)*5.\nAnswer: -120383 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 8 + 214. Suppose 2*w - 199 - q = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5033910 = 243*h - 9751911. What are the prime factors of h?\nAnswer: 71, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3452*y - 65590. Give n(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:02 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 27 = 0. Suppose -6*u - q + 141 = 0. What is the remainder when u is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*5*(3 + (sqrt(320) - (sqrt(320)*1 + 5))**2) + 1.\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30.60628014 and 0.1572.\nAnswer: 30.76348014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*x**3 + 6*q**2*x**2 + q**2 + 20350*q*r**2*x**3 - 7*q*r**2 + 157 wrt x.\nAnswer: -6*q**2 + 122100*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -137 - (507 - 554)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0043 (b) 0.01 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(2650\/(-7950))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*n**3 - 13*n**2 + 7*n**2 + 9*n**2 to l + j*n**3 + q*n + t*n**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9609.9*7\nAnswer: 67269.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -989, -3, 2 in descending order.\nAnswer: 4, 2, -3, -6, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(343)*-2 - sqrt(343)) + sqrt(343) - sqrt(343) - ((1*sqrt(343) - sqrt(343)) + 5))**2.\nAnswer: 42*sqrt(7) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-4 - -6)) + (-4 - -6). Suppose -o = -s - s - 9, w = -5*s - 4*o. Which is the third biggest value? (a) s (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11038, -15803, -20558, -25297, -30014, -34703?\n\"Answer: u**3 - u**2 - 4769*u - 6269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -60, -87, -136, -213, -324, -475?\n\"Answer: -d**3 - 2*d**2 + 2*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 627034\/(-6) - 1\/3. Let s(h) = 3609*h + 77. Let b be s(-19). Let p = w + b. What is p rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 28.9. Let v = q - -0.1. Let y be 48\/(-18) + 2 + (-8)\/6. Which is the closest to y? (a) -2\/7 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**3 - 2*p - 7. Let b(t) = -4*t**3 + t + 4. Let o(l) = -3*a(l) - 5*b(l). What is o(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 5 + y**2 + y - 8*y**2 - y**3 + y. Let t(f) = f**3 + 8*f**2 - 3*f - 4. Let b(s) = -3*g(s) - 4*t(s). What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/19651 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8a2a3 + -4?\nAnswer: -a8a2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -87*l + 180*l - 91*l. Let r(p) be the second derivative of 0 + 0*p**2 - 1\/3*p**4 + 0*p**3 + 2*p. What is v(r(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1722555, 3445110, 5167665, 6890220, 8612775?\nAnswer: 10335330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3747, -4, -11, -3?\nAnswer: 0.3747","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.84 - 69. Let y = g - -0.16. Which is smaller: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 54 - 6)*(9 + 16 - 12)*(-3*h**2 + 2*h**2 + 2*h**2) as o*h + f + z*h**2 and give z.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*g - 17, -4*y = -3*g + 40 - 14. Solve 3 + 1 = -g*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 396 + 49. Calculate the remainder when 799 is divided by r.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*l**5 + 269*l**5 + 756*l**5 + 1176*l wrt l.\nAnswer: 20940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + 1\/(1\/2). Suppose -i = -6*i + 360. Calculate the highest common factor of x and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/10 - 2\/(-5). Suppose -d + 3 = -k. Suppose 0 - 8 = -3*c + d*a, -c - 5*a - 4 = 0. Solve m - l = -1, -2*m - l = -m - c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412401331 - -10?\nAnswer: -1412401321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.07.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, 5, -9 in decreasing order.\nAnswer: 5, 0.5, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k - 233 + 606 - 293 + 15*k**2 with respect to k.\nAnswer: 30*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5303 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 2*j + 253*j**2 + 5*j - 249*j**2 + 18*j**3 + 15 to the form w*j**3 + q*j**2 + t + r*j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1599, -5127, -10563, -17901, -27135, -38259, -51267?\nAnswer: -66153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i - 10*i + 18*i**2 + i**3 + i**3 + i**4 to the form o*i**2 + f + x*i**4 + z*i**3 + a*i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 4 + (-3 + 3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 40. Sort j, -5, 4 in increasing order.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*v + 12278 - 10678 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 190680 divided by -38136\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + f + 0*f - 1 + 0 + 4*f in the form t*f**2 + j + a*f and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 24*k - 167. Let f be m(-12). Let l = 1418 - f. Let d(y) = -4*y. Let g be d(-1). What is the nearest to -2 in l, g, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -171832\nAnswer: 31\/171832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckf when three letters picked without replacement from {k: 3, f: 1, c: 5, e: 6}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by -6.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-8)*1064\/(-14763). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.4, -1060\/13, -1\/4, 5, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h + 3*h - 10*h + 68*h.\nAnswer: 124*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35008, -70017, -105026, -140035, -175044?\nAnswer: -210053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -4*s + 0*s**2 + 0*s**4 + 1\/14*s**7 + 0*s**6 + 1\/2*s**3 + 0 + 0*s**5. What is the second derivative of m(o) wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 0. Suppose -a = 3*q + t, -5 = -5*a - 3*q - 2. Sort -3, a, 0 in ascending order.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 20. Let u = z - -8.9. Let i = 0.06 - 0. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/2970*990\/15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 1)*(-8*o**3 - 548*o - 56*o**3 + 547*o).\nAnswer: -576*o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**6 - 2*u**5 - 95*u**4 - 1823*u**2. Let m(t) = -t**5 + 4*t**4. Let q(i) = -g(i) + 2*m(i). What is the third derivative of q(c) wrt c?\nAnswer: 240*c**3 + 2472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13012, 12986, 12946, 12886, 12800, 12682?\n\"Answer: -a**3 - a**2 - 16*a + 13030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 27. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535594330 minus -1?\nAnswer: 1535594331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 432 + -14031204?\nAnswer: -14030332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/364 and -97\/63291900?\nAnswer: 822794700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8255*p**2 + p - 2 - 3*p + 7*p - 8261*p**2 - 5*p.\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*m + 165, v + 1 = -1. Let d(q) = -85*q**3 + 170*q**2 + 255*q. Let l(k) = -5*k**3 + 10*k**2 + 15*k. Let x(z) = m*l(z) + 2*d(z). Factor x(c).\nAnswer: 5*c*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 144, 319, 564, 879?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51769 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/13))\/y**(4\/3))\/(y*y**(3\/5)*y*(y**(1\/2)\/y)\/y))\/(y**(2\/5)*y**(2\/3)*((y\/y**(1\/4))\/y*y)**(3\/5)) assuming y is positive.\nAnswer: y**(-807\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-4)*c))\/c*c**6*(c**(-1))**(-6))**13 assuming c is positive.\nAnswer: c**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 3*j - 19. Let v(g) be the third derivative of -3*g**5\/20 + g**4\/3 + 19*g**3\/2 - 1810*g**2 - 2*g. Give -3*v(a) - 8*x(a).\nAnswer: 3*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, 5*d = 4*n + n - 5. Let f be -7 + d\/(-6)*3. Let v be (9\/30)\/(6\/f). Is v at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6342 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*f - 4*f = -11, -2*a = 4*f - 14. Suppose -4*r - 4*u = -5*u + 1, 2*r - a = -u. Suppose 4*g - 3*h = 1279 + 237, r = -2*h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19216 + 19215.739975. Let v = 0.26 + g. What is v rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210 - 100201?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 4 - 4)*(-3 + 2*s + 3) - 534 + 534 - 7*s**2)*(2 - 3 + 2).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -1269 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j = -81*j - 12, -3*a - j + 51 = 0. Calculate the lowest common multiple of a and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -4.0890052396.\nAnswer: -3.8890052396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q + 0 - 1\/2*q**3 + 1\/30*q**5 - 27*q**2 - 1\/24*q**4. Let u(l) = -1. Let a = -16 - -15. Determine a*p(w) + 3*u(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 - -0.06. Suppose 0 = 2*l - 8*l. Suppose 2*b = -l*b - 2. Sort b, -4, g.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3)*13\/(130\/50). Sort -1, b, 1, 2 in descending order.\nAnswer: 2, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 902*p**2 + 387*p + 11. Is v(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2\/777, 1, 0.4 in increasing order.\nAnswer: 2\/777, 0.05, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f**2 - 67*f + 67. Give a(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -3, -4 in increasing order.\nAnswer: -4, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 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: Calculate the least common multiple of 144 and 6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.1 (c) 5843 (d) -6 (e) 8.8 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 14 = -7695*n + 7690*n, -2*n - 4 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:09 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 + 279*v - 133*v - 136*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 10*p + 39 - 20 to the form t + u*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 40 + 20 - -38.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:20 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 713848153 a multiple of 3897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/3141 or 0?\nAnswer: 10\/3141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -4, -1.7, -6826?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335 and 109277.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -124824?\nAnswer: 124804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8793 or -244?\nAnswer: -0.8793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 3, -88, -217?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5*t**3 + 0*t + 0 - 7\/12*t**4 + 11*t**2. Differentiate o(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x + 61. Calculate i(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6149449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwpwwwpdoodwpo. What is prob of picking 3 w?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 76981787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 383347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-106)\/(-6) - (-9)\/27.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30633876, 30633874, 30633872, 30633870?\n\"Answer: -2*w + 30633878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 + 1\/20*i**5 - i**2 + 1\/4*i**4 + 2*i - 2\/3*i**3. Give c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 10, 21 = 4*q - 3*y + 3. Let c be q + -3 - 2\/(-7). What is the biggest value in -1\/3, c, 0.01?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -17. What is the lowest common multiple of -4*(-2 + (4 - 3)) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 55 (c) -0.2 (d) 0.7 (e) -5 (f) -0.04 (g) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.625 and 5?\nAnswer: 153.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.01 (b) -0.2 (c) -148\/81 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 448717*d**2 + 363802*d wrt d.\nAnswer: 897434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17157853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 8. Let i be f(7). Let j = 0 - i. Is (-1 + 2)*j*79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Suppose -31*s + 22*s = -135. Let h(l) = s*l + 10*l - 12*l**2 - 38*l + 17*l. Calculate f(h(r)).\nAnswer: 24*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -136657064 divided by 68328532\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337708663 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let w(k) be the first derivative of -2*k**2 - 4*k + 1. Let v be w(h). Solve 2*r + 2*m - v = -m, 4*r + 5*m - 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q, 24 = 2*l + 2*q - 6*q. Suppose 0 = 3*v - 5*y - 9, 3*v - 3*y = 9. Solve -4*s = v*k - 4, s + s - l = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-10) + (-136542)\/(-210) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 47854.75?\nAnswer: -239273.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + j - 5*j)*((-2*j - 2*j + 5*j)*(-4*j**2 + j**2 + 6*j**2) + 2*j**3 - 3*j**3 + 2*j**3) to the form u*j**3 + r*j + z + x*j**4 + i*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w + 349 - 164 = 21*w - 410 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/70*0*1\/2. Suppose 2 = -g - g. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.15 - 0.15. Suppose 0 = -4*h + 7*h - 9. Which is the second biggest value? (a) w (b) h (c) 1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 + 4*h. Let m be i(3). Let o be 3\/((-3)\/5) - 2. Let y = m - o. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 20*f**2 - 16*f - 4. Let q(c) = -2*c**2 + 1. Let o(a) = l(a) + 4*q(a). Suppose o(g) = 0. What is g?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(((0 + sqrt(425))*-6 - sqrt(425)) + -4)*-4*4*-1)**2.\nAnswer: 73920*sqrt(17) + 5335556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*d - 9 - 11, 0 = -4*d + 2*t - 20. Let x = d - -7. Suppose -x*n + 2*z + 138 = -2*z, 0 = -4*n - 3*z + 298. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -12. Let p = k + 23. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 10) in base 5?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*c + 2, -772*c - 5*m + 26 = -781*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -5*(sqrt(40)\/sqrt(2))**2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 203 + 2*y**2 - 342 + 232 + 4*y**2. Let r(l) = -6*l**2. Give u(r(x)).\nAnswer: 72*x**4 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/858 and 57\/187154.\nAnswer: 7299006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -97210 and 4132.\nAnswer: -93078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 9. Suppose 2*k - p = 3. What are the prime factors of (-18)\/(-4) - 3\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 198163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130568 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*o**6 + 52*o**2 wrt o.\nAnswer: 22320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20777601*0.1.\nAnswer: 0.020777601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2. Let w = 17 + -11. Let v = -4 + w. Let y(x) = -2*x**2 - x**v + x**2. Determine y(p(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*x = 1744*x + 249*x + 117530 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 54\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, d: 4, v: 10}. What is prob of picking 1 d and 3 v?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 585, 799, 1349, 2403, 4129, 6695, 10269?\n\"Answer: 28*w**3 + 18*w + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f*f*f**(7\/6)*f)\/f)))\/f)**6 assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 36 = -12*k. Calculate the common denominator of 174\/k - (2 - -2)\/(-4) and 17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 + 39 + (-2511)\/(-168) + 1)\/(5\/(-20))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2153*y**3 + 4489*y**2 + 58665662*y wrt y?\nAnswer: -12918*y + 8978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(20\/(-48)) - (1 + 2). Suppose -4 = -3*y - y. Calculate the highest common divisor of g and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**3 + 2*z - 114 - 7395*z**2 + 3695*z**2 + 3700*z**2 as o*z + y*z**2 + t*z**3 + b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bun when three letters picked without replacement from eublnbbbblblehl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 2:47 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 19*c. Let p(n) = 162*n - 167*n + 38 - 38. Give p(y(q)).\nAnswer: -95*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.69*14\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 14*q - 20151359*q**3 + 20151360*q**3.\nAnswer: q**3 - 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384661, -384733, -384851, -385015, -385225?\nAnswer: -385481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 - 5*d + 21 + 7*d to r + s*d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 1386.3.\nAnswer: -12476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5488428*o**3*t**5 - 36*o**3*t**3 - 162*o**3*t + 277*o**2*t**2 - 1107*t wrt t?\nAnswer: 329305680*o**3*t**2 - 216*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-20)*(-10)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2040 - 12531*i + 12531*i - 2663*i**3 - 19*i**3 with respect to i.\nAnswer: -8046*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**27\/w*w*w*w)\/w)\/w)*((w**36\/w*w*w)\/w)\/w)\/(w**37\/w*w**(-34)\/w) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -7 - (6*-1)\/((-72)\/32). What is the fourth biggest value in p, 0, -166, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-272)\/5784)\/(41\/(-96)). Let s = 644734251\/98810 + g. Let y = s - 6520. Calculate the common denominator of -89\/8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9074602.\nAnswer: 2, 4537301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278176842 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3742 is divided by 464?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+8379.7\nAnswer: 8379.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2545 + 22907\/9. Which is the closest to -4? (a) g (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 19 = s, -4 + 23 = 3*z - 4*s. Put -5, -3, z, -1 in ascending order.\nAnswer: -5, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let a(p) = -2*p**2 + 2*p - 1. Let y be a(1). Let t be y\/1 - (10 + -6). Sort t, g, 3 in decreasing order.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4356, 4272, 4188, 4104?\nAnswer: 4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*m**3*o**4 - m**3*o**2 + m**3 + 16*m**2*o**3 + 2*m*o**4 + m*o + 1777 wrt o.\nAnswer: 480*m**3*o + 96*m**2 + 48*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -25*g - 322. Let j be m(-25). Suppose -195*b - j = -198*b. Let a(o) = o**3 - 5*o**2 + 2*o + 1. Calculate the least common multiple of b and a(5).\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 2 (b) -5 (c) 55\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1386496223 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/28 + 24\/28)\/(21\/119).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*u + 231*u = 354*u + 86 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-16) + (-995742)\/(-3427424)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96011407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 65*j + 67. Let m be w(1). Is m < 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-75)\/6*8\/(-10). Suppose 2*a + 13 = -5*s + 47, 3*s - 4*a - x = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 2\/9, -3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22840, -22838, -22836, -22834?\n\"Answer: 2*l - 22842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d**2 + 1169 - 2137 + 1003 to l + u*d**2 + y*d and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3045, -24985, -84545, -200535, -391765, -677045, -1075185, -1604995?\n\"Answer: -3135*c**3 + 5*c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -50) + (6 - (2 - 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {t: 1, k: 1, b: 2, m: 1, i: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*z**4 - 65*z**2 + z + 32234 wrt z?\nAnswer: 852*z**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*c + 69*c - 44*c**4 + (5*c**3 - 5*c**3 + c**3)*(3 - 3 + c).\nAnswer: -43*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 25 = -t - 0*t, 8 = -4*t. Suppose a*p - 58 = 32. Solve -x + p = 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451264 divided by 225632?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2425*c - 539 + 1069 - 8053*c - 530 to o*c + p and give o.\nAnswer: -10478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*w + 190, -7*b + 184 = 3*w - 5*b. Suppose d + 19 - w = 0. Solve 21 - d = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2453, -2424, -2413, -2420?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55966972 and 513976.\nAnswer: 6268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 10, c: 2, d: 3}. What is prob of picking 1 m, 2 l, and 1 c?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1032 and -191\/10320.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -804 + 810. Solve -3*v - 4*h = 2*v + 8, -2*v = 3*h + d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 6*k - 3. Let d be i(4). Find the second derivative of -5*s**5 + 2*s + 0*s**5 - s - d*s wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.21933, 4, 315?\nAnswer: -0.21933","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -208*f - 837. Give p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -120?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:43 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1 + 3*b + 9*b + 12 + 24 + 3. Let r be u(4). Suppose 2*o = 4*i - o - 41, -5*i + 2*o = -53. Calculate the highest common factor of r and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**7\/10080 - k**6\/180 + 2*k**5\/15 - 7*k**4\/8 - 16*k**2. Let a(m) be the second derivative of b(m). Factor a(l).\nAnswer: (l - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 5077 - 10*q**2 + 0*q**3 + 2546 + 2543 as p*q + j + o*q**2 + y*q**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*7\/(-14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 12*i + 9*i + 112 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*r = -40, -2*c - c - 5*r = -40. Sort -0.5, c, 5\/7.\nAnswer: -0.5, 5\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103902551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264936189 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5034520 - -1?\nAnswer: 5034521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:47 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - a + 16. Let s be f(0). Suppose -j - s + 93 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 95*g + 61. Give j(29).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2763\/4 and -691 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence misc when four letters picked without replacement from {i: 1, s: 6, m: 2, c: 3, j: 6}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19925 = -20*w + 49655. What are the prime factors of w?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 = -4*l, -2*n + 6*l = 10*l + 12. Let b(m) = 12*m + 96. Let u be b(n). Solve 5*k + 3*x - 6 = -30, u = x + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7126.493 plus -1875595?\nAnswer: -1868468.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 8*m + 5. Let s be 6\/((-2)\/(-4) - (-10)\/(-8)). Let v be c(s). Factor 4\/7*l**4 - 2\/7*l + 0*l**3 + 2\/7*l**v + 0 - 4\/7*l**2.\nAnswer: 2*l*(l - 1)*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 639 = -2*b - 47, 3*a - 3*b = 507. What is the smallest common multiple of 174 and a?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 5, x: 5, e: 8, h: 1}. What is prob of sequence he?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -797, 13, -25, -1 in descending order.\nAnswer: 13, -1, -25, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592 - -591. Calculate the remainder when j\/(-2) - 753\/(-6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -67588, -0.142, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 1. Let h(l) = -27*l**3 - 6*l**2 + 6*l + 6. Let c = 22371 - 22372. Calculate c*h(q) + 6*t(q).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00384 + 0.06833. Let j = p + -0.064. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 h when four letters picked without replacement from {l: 1, z: 8, p: 3, h: 4, r: 1}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 3*z - 2. Let o = 5 + -9. Let x = o + 6. Suppose 2*i = i - x. Give q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 3 (c) 2\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.2 - -31. Let j = -19.9 + 19.5. Which is the third smallest value? (a) 0.19 (b) k (c) j (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30202 + 1120?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 1, z: 2, l: 2, f: 3, u: 4}. What is prob of sequence uumu?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4873130?\nAnswer: 2, 5, 487313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1 + (3 - 1 - 3)*(-4 + 4 + 2) + 2 + 1 + 3)*(3*d + 3 + 1 + 1) in the form w*d + g and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1466.4 * 2511.\nAnswer: -3682130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-38)\/(-9) - 4). Solve -d = z*d + 4, 0 = 4*r - 4*d - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b - 24. What is v(-11)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3562 - -35671\/10. Calculate the common denominator of w and 2\/(-9) - 458\/45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 291572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429012 = 15*d - 429162. Calculate the remainder when 1049 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 5*a**2 + a - 47. Let y(o) = -o**2 - 2. Let d(r) = h(r) - 4*y(r). Give d(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11574 - 11570. What is the smallest value in o, -853\/5, -0.5?\nAnswer: -853\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 102 + 123. Let w(r) = r + 3. Let z be w(-5). Let x be (-36)\/z - (0 - 0). Calculate the greatest common divisor of x and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + b**2 + 2*b + 3. Let l be u(-2). Suppose -5*c - 2*y - 40 = 2*y, -4*c + 3*y - 1 = 0. Sort l, -2, c in descending order.\nAnswer: -2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-143))\/(40\/260).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4493, 1.193, -4 in ascending order.\nAnswer: -4, 1.193, 4493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.4, 1\/4, -245?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1563 or 2?\nAnswer: 1563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 29. Let c = -11 - -4. Let f(w) = -w**3 - 6*w**2 + 6*w - 5. Let v be f(c). Solve 3*b = -v*d + 9, 3*b - d - d - t = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 2. Let u = -23 - -28. Suppose u*l + 105 = 2*r + 3*r, -3*r + 2*l + 64 = 0. What is the smallest common multiple of r and q(-3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2214 + 2221. What is the fourth smallest value in a, -13, -0.1, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (19 + (-290 + 198 - (-13 - -1)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448849, -1796040, -4041365, -7184830, -11226441, -16166204?\nAnswer: -22004125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - 3302233?\nAnswer: -3302324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-44)*4\/23 - 304896\/4416\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 12. Let k be (-7)\/(-28) + (-19)\/(-4). Let z be c(k). List the prime factors of 33 + (z + 1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 1. Let h(p) = -p**3 + 6*p**2 - p - 31. Let c(k) = -6*d(k) - h(k). Let f(a) = 12*a + 36. Let x be f(-3). Is c(x) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39, 48, 57?\n\"Answer: 9*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 10. Let m(b) = -2 + b - 4 + 7. Let n(w) = g(w) - 3*m(w). What are the prime factors of n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o)\/o*o**(-10\/7) assuming o is positive.\nAnswer: o**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23492 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(2 + 1 + 0). Let p be (14\/f)\/((-1)\/3). Let r be (-2)\/(-7) - 38\/p. Solve -3*l - 2*l - 3*j + 22 = 0, -r*j + 12 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -3*d + 0 - 1\/45*d**5 + 1\/18*d**4 + 0*d**3 + 1\/360*d**6 + d**2. Let v(b) be the first derivative of t(b). Factor v(x).\nAnswer: x*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 8*c**2 + 11*c + 21. Let x be i(-9). Let z(p) = -4*p + p + 3*p + x*p. Let m(s) = 9*s**2. Determine m(z(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 4, b: 2, k: 3}. Give prob of picking 1 w and 2 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/(y**13*y)))*y*y)\/y*y*y**(-5\/6))**(-25) assuming y is positive.\nAnswer: y**(1625\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61717 is divided by 1064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -118. Let d(w) = -w**2 - 3*w**2 + 5*w**2 - 3*w**n. Let v(o) = 7*o. Calculate d(v(y)).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737581.\nAnswer: 13, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 + 3*q - 3. Let w be h(2). Suppose 3*s = z - 1, 2*s + 4 = 7*s + 4*z. Let g(j) = -4*j + s*j + 2*j - j. Calculate g(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 58. Let s(z) = 21*z - o*z - 17*z. Let u(t) = 13*t**2. Calculate u(s(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-1344)*-14*8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:08 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 20, -14, -62, -124, -200, -290?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 11:35 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 487*y**3 - 4*y**2 + 16*y. Is 13 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 15. Is f <= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107131957 is divided by 1428426.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 444579030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 382764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 + -40386591928.56.\nAnswer: -40386591867.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + 4 - (-2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - -32261386?\nAnswer: 32261386.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/6*z**3 + z - 1\/2*z**2 + 0. Differentiate k(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d03cab6 - 0?\nAnswer: -1d03cab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 5 + 0 + (-1 - 48). Let f be ((-22)\/4 + 0)*(-4 + l). What is the highest common factor of f and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194\/3 - 64. Which is the closest to -1? (a) 0.2 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6034522 is divided by 1827?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 601635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/207)\/(14\/21)*(-12)\/((-2)\/1)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 110*l - 2596. Determine y(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 6*i**2 + i - 4. Let r(p) = 2*p**3 + 6*p**2 - 6*p - 7. Let j be r(-3). Let h(o) = -3*o**3 + 17*o**2 + 2*o - 11. Determine j*m(b) - 4*h(b).\nAnswer: b**3 - 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/203 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 0.2, -4.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 655*w - 1920.\nAnswer: -5*(w + 3)*(w + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 6*i**2 + 2*i**2 - 24*i**2 + (3*i**2 - 2*i**2 + i**2)*(1 + 5 - 5) + 0*i - i**2 + 0*i + 4*i**2 + 0*i**2 - i**2 to f + k*i**2 + n*i and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let q = 0.6 + -0.4. What is the second smallest value in w, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 515 and 67213783.\nAnswer: 336068915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 86*u + 251. Let j be x(-6). Let g be (-2 + 18\/4)*(-318)\/j. Factor 3\/5*n**4 + 1\/5*n**2 + 0*n - 1\/5*n**5 + 0 - 3\/5*n**g.\nAnswer: -n**2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 + -214. Let c = 144981.1631067 + -145068.1631. Let i = z + c. What is i rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 9.88. Let i = 0.12 + s. Sort i, 0.1, 1 in ascending order.\nAnswer: i, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8270*q + 33073. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*n + 7. Calculate the greatest common factor of 99 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48.3 or -110.26?\nAnswer: 48.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 2\/11, -3\/238, -1\/9, -4 in ascending order.\nAnswer: -4, -4\/3, -1\/9, -3\/238, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5\/3*s + 5\/3*s**3 + 20\/3 - 20\/3*s**2 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 15. Solve -y*f + 6*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s - 513*s + 24080 = 0 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 4*c - 2*c**2 + 3 - 2*c**3 + c**3 - c**2. Let u be t(-4). Find the third derivative of -u - 4*m**5 + m**2 + 5 - 2 wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h = 426 - 510 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 79878.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-260)\/91)*41\/(6027\/1008)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/20)\/(140\/100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 7 - k + 3 + (-7 + 3 + 2)*(-3*k + 5*k - 4*k) + k + 2*k - k.\nAnswer: 5*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 38 - -14) + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1000685*d**2*y**2 + 727*d**2*y + 101*d**2 wrt y?\nAnswer: 2001370*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14343432 to the power of 1\/2, to the nearest integer?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 248258 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -902*q**2 - 165*q - 1815. Let p(f) = 11*f**2 + 2*f + 22. Let d(g) = 4*j(g) + 330*p(g). Let o(l) = -70*l**2. Give d(o(c)).\nAnswer: 107800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 + 280*r - 58604 = 0. What is r?\nAnswer: -161, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20152 and 19\/50979064.\nAnswer: 560769704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.04166 and -10.\nAnswer: -8.95834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4654, 5, 0.3, -21\/4, 6 in decreasing order.\nAnswer: 6, 5, 3, 0.3, -21\/4, -4654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 - 0.74. Let r = -0.39999789 - f. Round r to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/(-282)*(-465)\/9 + -3*16\/(-108).\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 7*m + 20 = 10*m, 5*i + 25 = 4*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u + 17*u = -25*u + 1328. What is the least common multiple of u and 2000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21561*l - 3. Let y be u(-6). Let v = y + 21369. Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(1 + -2) - -7. Solve -2*m + 7*w + 16 = 4*w, 0 = 4*m + w - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 * -0.43508\nAnswer: 3.611164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 3. What is x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 138 = -s, -4*v + 2*s + 109 = -v. Suppose 4*k = -v + 115. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 3321*a + 16575. Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122946\/5 + 24589. Which is the third smallest value? (a) f (b) -1 (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z**2 - 9*z + 12. Let a = 54 - 71. Let c = a - -7. Let m be i(c). Solve 0 = m*y + 5*k + 27, 5*y + 2*k = -3*k - 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23311?\nAnswer: 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-162918)\/(-20) - 86\/(-860) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v - 2*v + t, v + 12 = 4*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k**5 - 174*k**4 + 451*k**3 - 240*k**2 - 44*k = 0.\nAnswer: -1\/7, 0, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*q**2 - 41907*q + 512510.\nAnswer: -20*q - 41907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.84 + 21.84. Let i = -4\/31 + 59\/217. Which is the nearest to n? (a) -4\/5 (b) -0.7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332996 and 204?\nAnswer: 998988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 45 = -17*p. Suppose p*h - 4*f + 118 = 0, 145 = -4*h - h - 5*f. Is h >= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50145741 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**9\/378 - a**5\/24 - a**3 + 7*a. Let u(j) be the second derivative of v(j). What is the second derivative of u(l) wrt l?\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 42. Let u(k) = k - 8. Let c(q) = 3*j(q) - 16*u(q). Let v = -2 + 5. Determine c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (27 + 4 + -8). Sort -2, 4, b in increasing order.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**2 - 2208*n**3 + 12949*n - 1383 - 12949*n + 5*n**2 with respect to n.\nAnswer: -6624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (10 - -1) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2a1 (base 11) to base 2\nAnswer: 101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349302113?\nAnswer: 199, 1755287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64553, 129132, 193731, 258344, 322965?\n\"Answer: -n**3 + 16*n**2 + 64538*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34, 37, 40, 43?\n\"Answer: 3*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 51050?\nAnswer: 51057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3068360.\nAnswer: 2, 5, 79, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -72, -282, -702, -1404, -2460?\n\"Answer: -12*u**3 + 3*u**2 + 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4693 + -0.3272. What is i rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390439023.\nAnswer: 3, 13, 41, 244177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**7\/2520 - k**6\/360 + k**5\/60 + 2*k**2. Let g(r) be the third derivative of s(r). Let a = 391 + -388. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c + 429 - 429.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -30625*c**5 - 15750*c**4 - 1500*c**3 - 40*c**2 = 0. Calculate c.\nAnswer: -2\/5, -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-2*d**2 + 2*d**2 - 2*d**3) - 13*d + 13*d - 6*d**3)*(22*d - 6 + 1 - 20*d).\nAnswer: -16*d**4 + 40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 3*sqrt(34)\/sqrt(2))*-4.\nAnswer: 48 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1603\/900 + -1\/900. Calculate the common denominator of 125\/6 and n.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -1143*x**2\/2 + 49*x + 45. Is o(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-3)\/(-1))*(-1302)\/(-155). What are the prime factors of 6*(-15 + r + 6\/(-4))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579649036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265964895.\nAnswer: 3, 5, 7, 120619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23*r + 49*r + 114 = 24*r, -2*x - 2*r = 90 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -55*r**2 - 2*r + 2. Let v(q) = -276*q**2 - 11*q + 11. Determine -11*k(w) + 2*v(w).\nAnswer: 53*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 16312470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + c - 5 = 20, -m + 5 = 3*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 629193527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.29 - 1.29. Which is the second biggest value? (a) -1 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 36. Let p = -13 - s. Solve 22 = p*l + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 + u**4\/8 - 4*u**2. Let x(z) be the second derivative of w(z). Let q(a) = 2*a. Determine x(q(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3. Suppose 4*g + 0 = 4. Let n be y(g). Suppose -2*h = n*h - 72. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 520*y - 1020.\nAnswer: -5*(y + 2)*(y + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2389640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 - (81\/(-9) + 1). Sort d, -0.2, -122\/3 in decreasing order.\nAnswer: d, -0.2, -122\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*q**2 + 11*q**2 - 6*q**2 + (-5*q + 3*q + 3*q)*(4*q - 2*q - 3*q) + q**2 + 0*q**2 + q**2 + 4*q**2 + 0*q**2 + q**2.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 99 = -j. Let c(m) be the first derivative of -m**4\/4 - 3*m**3 - m**2\/2 + 11*m - 2. What is the lowest common multiple of 8 and c(j)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3440989 and 1222189?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - y**4 - 11 - 4*y**3 + 22*y**2 + 12 - 2*y in the form l + k*y**2 + p*y**4 + j*y**3 + h*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -210, -214, -218, -222, -226?\n\"Answer: -4*u - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1782 - 1692. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**6 + 2*l**5 - 2*l**4 + 2*l**3 + 6*l**2. Let x(s) = s**5 - s**4 + s**3 + s**2. Let c(o) = 2*x(o) - z(o). Find the third derivative of c(d) wrt d.\nAnswer: 1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 60834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27168741\/20 - -1358709. Let f = j + -2679\/10. Calculate the common denominator of f and -81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32038, -37066, -42082, -47080, -52054, -56998, -61906?\nAnswer: -66772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0224 (base 11) to base 16.\nAnswer: 23cf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5341 + 1?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 2*j**5 + 0*j**3 + (-2*j - 3*j + 2*j)*(-2*j**3 + 2*j**3 - j**3)*(36*j - 18*j + 38*j) + (-3 + 0 + 0)*(-8 + 8 - 2*j**5).\nAnswer: 172*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.7. Let z = 0 + h. Let d be (-17)\/(-85) - (-48)\/10*1. Which is the second smallest value? (a) z (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.329425 milligrams to nanograms.\nAnswer: 4329425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02488 and 41.\nAnswer: 40.97512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 3:35 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -50. Let r = -15.87 - v. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 1280*j**4 - 10324*j**3 + 28464*j**2 - 31086*j + 11664 = 0.\nAnswer: -648, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 + 56 = -5*i. Suppose -4*v + 12 = 5*w, 4*w + 0*w - 14 = -v. Suppose 583 = w*g + 163. What is the highest common divisor of i and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644620 and 208440?\nAnswer: 34809480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51850*h + 52050*h - 7400 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and (13\/52)\/(146\/72 - 2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2\/(-4) + 1155\/10). Suppose -8*n + y = 51. Calculate the highest common factor of 248 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6)**(3\/34)*(s**6)**10 assuming s is positive.\nAnswer: s**(1029\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 - -5.2. Let u = 0.9 - -3.1. Let l = 494 + -1977\/4. Which is the closest to 3\/5? (a) l (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:11 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200200120102020 - 1202?\nAnswer: -1200200120110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/4, 3\/4, -2\/15?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 - n. Let y(t) = 4*t**3 - 5*t**2 - 11*t. Calculate -5*x(b) - y(b).\nAnswer: b**3 + 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:10 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((2\/1)\/(-8)). Suppose 2*p - b = -3*z, p + 18 = 3*z + 5*p. Let i(y) = 2*y**2 - y. What is i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y - 5. Let a be c(-4). Suppose -a*f + f = -854. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065 and 35642.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 769887037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -391, -709, -1027, -1345, -1663, -1981?\n\"Answer: -318*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6 + 0 - 4 + 2*i. What is h(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(3*4\/(-32)). Solve -2 = 2*b + q + a, 24 = -5*b - 2*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -682 + 772. What is the smallest common multiple of o and 165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -112. Suppose -4*g = -g - q. Let r = 84 + -27. Calculate the remainder when r is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/6? (a) 4 (b) 3\/4 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*h - 48, 5*h + 12 = 2*w - w. Let j(t) = -4*t. Let i(c) = 15*c + 1. What is w*j(m) + 6*i(m)?\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 26. Let k be a\/4 - (-14)\/1. Solve 4*z + v - 10 = 4*v, -3*z + k = v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {c: 2, l: 1, q: 3, n: 2, g: 4, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23530 - 23532. What is the fourth smallest value in l, 4, -4, -6\/43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2670 - -2676. Solve -59 = n*t - 59 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 5. Let x(n) = -2*n - 4. Let w(y) = 4*f(y) - 5*x(y). Let o(q) = -86 - 100 - q + 186. What is o(w(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = 0, -5*n + 252 + 3 = 5*i. What is the highest common divisor of 864 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 105 (b) -1\/4 (c) 3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5*10*2. Is i\/(-6)*(7 + 2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 28 = 3*g - 3*l, -5*g + 4*l = 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29358*x + 135 = 29349*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 419 + -399. Solve -33*v + r = -29*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/(-12) + (-56)\/(-336).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2 - 3\/2*x**2 - 12*x. List the prime factors of q(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*((((z*z**(-2))\/z)\/z)\/z)\/z)\/z*z*z)**13)**(-15)\/(((z\/z**(-1\/4))\/(z\/(z**7\/z)))\/(z**(-2\/7)*z*z*z**(-2\/13)\/z)) assuming z is positive.\nAnswer: z**(68909\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/7 - 741320*n + 961721849200.\nAnswer: (n - 2594620)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + ((-5*sqrt(114)\/sqrt(6)*4 - 6*(-3 + sqrt(2299) + sqrt(19)))*4)**2.\nAnswer: -52992*sqrt(19) + 2578231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a = -259 + 345. Put 71, 3, -4, a in descending order.\nAnswer: 71, 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 5 + -4*(sqrt(242) + 2 - sqrt(242)) + 2 + -5))**2 + -3.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 30*d**3 + 1 + 16*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -43. Sort 1\/2, -0.5, -1\/3, p in descending order.\nAnswer: 1\/2, -1\/3, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + (-4)\/(-22). Let d = 5.06 - 0.06. Sort d, -1\/3, r in decreasing order.\nAnswer: d, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17104866 to the power of 1\/2, to the nearest integer?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:29 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 3*d, 5*y - 1 = -d. Let w = 0.3 + 0.2. Which is the biggest value? (a) w (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6.32, -19830 in increasing order.\nAnswer: -19830, -6.32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4123, -208 in descending order.\nAnswer: 2, -208, -4123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12.5. Let r = -245 - -247. Put -5, r, z, -4\/15 in descending order.\nAnswer: r, z, -4\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/25 - -122\/225. Let h = 0.0437 - 77.4437. Let j = 77 + h. What is the smallest value in j, 0.4, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-16) - 12\/(-3). Determine z, given that -15\/4*z**2 + f*z + 3\/4*z**3 + 27\/4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1))\/s**9)\/(s\/(((s\/s**(-1\/4))\/s)\/s*s))**49)**(13\/2) assuming s is positive.\nAnswer: s**(-2379\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 245*s**2 + 19694220*s + 395777858580 = 0.\nAnswer: -281346\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1345 + 0?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 1, o: 1}. What is prob of sequence uoss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = d. Calculate the smallest common multiple of 10 and ((-20)\/(-5))\/(d - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5920929291 less than 24479?\nAnswer: -5920904812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081000 rounded to the nearest 10000?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4025020*y + 20. Let b(m) = 575003*m - 3. Let d(v) = -20*b(v) - 3*w(v). Let a be d(-4). What is a rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - n - 130, -10 = 4*n - 30. Solve -o*p - 8 = -47*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 17*s - 37. Let x be c(-5). What is the nearest to 1 in x, 7\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/(22\/(-10)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11115\nAnswer: -1\/3705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3 - -4) + 4. Suppose 2*v + 0 = -y + o, 0 = -5*y + 2*v + 6. What are the prime factors of -2 - (-6)\/(y + 1) - -144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 3. Suppose -4*t = -2*q - 14, -5*q + 23 + h = 4*t. Suppose -108 = -t*w + w. What is the greatest common factor of w and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286256 >= 2286267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2712658395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -0.109, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -14)*(-2 + 74\/(-4))?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 7\/(-3))*(-1)\/(-4)*6. Let d(z) be the third derivative of 1\/330*z**5 + 0*z + 1\/33*z**3 + 0 + 16*z**2 + 1\/66*z**s. Factor d(q).\nAnswer: 2*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3503 - 3508. What is the fourth biggest value in -3\/5, -11, q, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 17134*p\/7 - 400800.\nAnswer: -2*(p - 8400)*(p - 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10599816*0.2.\nAnswer: 0.021199632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -184?\nAnswer: -15\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/30393 and 67\/20262?\nAnswer: 60786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 8*s)*(-1 - 3 - 10 + 0 - 2 + 1 + 2 - 3 + 2 + (-1 + 3 - 1)*(-3 + 1 + 0) - 2 + 1 + 3 + 0 + 1 + 0 + 0 + 3 - 2) to p*s + y and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -1 - (-25 + 27).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1 - 4\/(-5)). Let f(o) = -o - 10. Let k be f(y). Solve v + v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383048303 by 34822573.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by -4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 7. Give a(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526757 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (4 - 1661\/330))\/(-1) + 6?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 6. Let n be z(-3). Suppose -2*x + 24 = 2*d, n = -6*x + 2*x + 3*d + 41. What is the highest common factor of x and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from rrrlll?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/2487 + -2447\/12435. Let n be 1 + (-2)\/(12\/5). What is the second biggest value in -3, k, n, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/9*-3*-2. Let d = 26 + x. Let y(f) = -2*f**2 + 8*f + 7. Is y(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 646056 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3236, -3279, -3322?\nAnswer: -3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350085545?\nAnswer: 3, 5, 30001901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -5 + 16 - (0 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -81, -1, 0 in decreasing order.\nAnswer: 4, 0, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92.68 + -92.48. Which is the nearest to -2\/9? (a) -0.5 (b) 3 (c) k (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 4) to base 6\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962 < 0.3733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19475.\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -47.6143.\nAnswer: -238.0715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 3*z**3 - 2*z**2 + 14*z**2.\nAnswer: -3*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/33 - ((-13)\/(-12) + -2). Which is the nearest to 0? (a) -1\/5 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z**4 + z**4 + z**4)*(-3 + 0 - 2) - 2*z**4 + 0 + 0 to the form x*z + a + p*z**3 + h*z**4 + q*z**2 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7289\/7 - 18\/63. Suppose 217 - j = -8*z. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 2 = 0. Let a(b) = -2*b**2 - b + 5. Let l be (-1 - 9\/(-6))*2. Let f(d) = 1 + 2 - 1 - l. Calculate r*a(y) + 3*f(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-208)\/(-8) - 15) + -9. Let b(u) be the second derivative of 0 - 4\/5*u**5 - 17*u + 5\/3*u**4 - 2\/3*u**3 + 0*u**o. Suppose b(s) = 0. What is s?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -5594.1.\nAnswer: -5589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = -5. Let m = 0.007 - -2.293. Let w = m - 2.2. What is the closest to q in 3, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 597389610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 2. Let s be c(-3). Let o be s*3\/(-9)*-3. Put 4, o, -7 in ascending order.\nAnswer: -7, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(90)\/(sqrt(6)\/sqrt(2)) - -2*(sqrt(480) - sqrt(30) - sqrt(30)))\/(5*sqrt(90)*1)*-4.\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136)*-3)\/(sqrt(24)\/sqrt(12)) + 2)**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 504?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 13. Let z be p(3). Suppose -z*f + 264 = 2*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 12 - 38. Suppose 3*h = 4*t + t + f, 2*t + 4*h + 26 = 0. Let s = 9 + t. Solve 0 = -r - s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8416506452?\nAnswer: 2, 2104126613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-3)\/2)*(4 - -18). Let h be (n\/((-77)\/6))\/((-3)\/(-14)). Suppose 2*s + l = 898, h*l + 1195 = 3*s - 130. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421292 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30833383157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 77?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/36 + (-31)\/(-3). Suppose -o = -12*r + 7*r. Find a, given that 9*a - 3*a - 689*a**r + 692*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwkkklw. Give prob of picking 3 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 8. Let a be l(0). Let i(m) = -2*m + 3*m - 2*m. Calculate i(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205 is divided by 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 664590704 a multiple of 3176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 21*s**2 - 26*s + 2. Let y(d) = -9*d**3 + 40*d**2 - 52*d + 4. What is -11*n(g) + 6*y(g)?\nAnswer: g**3 + 9*g**2 - 26*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (7631862\/4)\/7*((-340)\/30)\/(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-1 - -2) - (-160)\/(-8). Let h = m - -47. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47507 or 47508?\nAnswer: 47507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:25 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.68173 take away 3?\nAnswer: -108.68173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100110111101001000101 (base 2) to base 13.\nAnswer: -119716c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*r - 18, 5*g - 35 = -r - 2*r. Suppose 5*d = 4*q - 428, 0*q + g*d + 526 = 5*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -289. Suppose 16*a = 3*a + 364. Suppose -5*k + j - 29 = -p, 3*j - a = -k. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0087870854 to five dps.\nAnswer: -0.00879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771, 1544, 2315, 3084, 3851, 4616?\nAnswer: 5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1)*(-12)\/72.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s)\/(s**2*s*s))\/((s*(s\/s**(-1\/2)*s)\/s)\/(s**(1\/2)\/s))*(s**(-1\/2)\/(s\/s**8))**(-18\/5) assuming s is positive.\nAnswer: s**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 36. Suppose -2*n - 2*p + p + 42 = 0, -5*n = -u*p - 92. Suppose -2 = k + f - 5, -n = -2*k + 5*f. Solve -5 = k*x + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*r**3 - 33\/7*r + 90\/7 - 12\/7*r**2.\nAnswer: 3*(r - 5)*(r - 2)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*9\/(-63)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwtc when four letters picked without replacement from {c: 2, w: 1, z: 1, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/((-30)\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12510 by 55.\nAnswer: -2502\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/13)*x)\/(x\/(x\/(x*(x*(x\/x**(3\/11))\/x*x*x)\/x))) assuming x is positive.\nAnswer: x**(-93\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 - 2140\/716. Let q = 137\/3759 + l. Let t = 68\/105 - q. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175959 and 240639?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 1374*s**2 + 10888*s + 16296.\nAnswer: 2*(s + 2)*(s + 6)*(s + 679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6937648 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27816 and 12?\nAnswer: 27816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 88 - (160 - 64 - 137)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 65 = 3*j, 17*j - 12*j + 5*f = 125. Let t = -103 + 161. Calculate the remainder when t is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 311 - 6960*g**2 + 250 - 3*g.\nAnswer: -6960*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w + 0*w)*(3*w + 2*w**2 - 3*w) - 5*w**2 + w - 3*w**3 - 2*w**2 + 4*w**3 to h + z*w**3 + v*w**2 + u*w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -20675*z + 655*z**2 + 20675*z + (-3*z + 4*z + 0*z)*(16*z - 3*z + z) in the form o + f*z**2 + g*z and give f.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 345470857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 23*a + 17. Let b be r(6). Suppose 11*w = -b*w - 170. Sort -16, w, 3, 1 in descending order.\nAnswer: 3, 1, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.378033 to 1 dp.\nAnswer: -70.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2134 (base 7) to base 9\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -282 - 29 - 61 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 76.3. Let y = 5.9 + i. Let x = 1.2 - 1. Which is the nearest to y? (a) -1 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104501759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 3*z**8\/112 - z**5\/15 - 6*z**2. What is the third derivative of b(y) wrt y?\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 379 + -379.4. What is the fourth smallest value in j, 0.1, 831, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100001 + 11101?\nAnswer: -111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23292 divided by -4.\nAnswer: -5823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127125653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30*(-49)\/(-9310))\/(1*1\/(-1))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + r**2 - 3*r**2)*(-4*r + r + r)*(-4 - 1 - 1).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*p - 18*p - 36*p - 1343 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -399*x**2. Let k(q) be the first derivative of -q**4\/24 - q**2 + 20*q + 35. Let p(n) be the second derivative of k(n). What is s(p(a))?\nAnswer: -399*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 21*t + 15. Suppose 0 = -3*s + 17 - 50. Let y be q(s). Suppose 8*b - y = -45. Which is bigger: b or 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21744 - -21744. Put d, 2\/3, -14, -4\/3 in ascending order.\nAnswer: -14, -4\/3, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 889 + -804. Put -2, 0.3, x in decreasing order.\nAnswer: x, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81755 and 4.\nAnswer: 327020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 5*d**3\/3 - 10*d**2 - 6. Factor c(q).\nAnswer: 5*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -5\/6 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/18)\/(1\/(-54)*-9). Let r = 0.16 + -10.16. Let m = -40 - -39.5. Which is the nearest to l? (a) m (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 1. Let t be f(1). Let i = -4 + t. Let y = -4 - i. Is 3\/2 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 10\/3*p**4 + 0*p**3 - 49*p**2 + 0 + 19\/120*p**6 + 1\/60*p**5 + 0*p. Find the second derivative of l(x) wrt x.\nAnswer: 114*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/3))**(-35))**(-50) assuming v is positive.\nAnswer: v**(12250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - (0 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1340104 and 46\/7?\nAnswer: 9380728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -6. Let o = -0.911 - -0.611. Which is the second biggest value? (a) g (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 3 - 3. Let h(u) = u. Let v be h(2). Let l(t) = -3*t. Let a(p) = -p. Let n(k) = v*l(k) - 5*a(k). What is z(n(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -6*u**3\/5 - 7908*u**2\/5 - 477582*u + 29279640 = 0.\nAnswer: -685, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412 (base 9) in base 5?\nAnswer: -40042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-70)*-2)\/(7\/5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 2:37 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2837*u**2. Let o(p) = -4*p. Determine a(o(z)).\nAnswer: -45392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**3\/3 + 11*a**2 - 21*a + 3. Let d be s(-18). Let q = d - 131. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -2b34d?\nAnswer: -2b372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m - 14*m + 97*m)*(-m - 4*m + m)*(-3 + 3 + 2*m).\nAnswer: -584*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or 13\/132?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 218\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1633*k**5 + 374*k**3 + 41*k**2 + 115*k**4 + 46*k**2 + 1635*k**5 + 75*k**4 + 99*k**2.\nAnswer: 2*k**2*(k + 1)**2*(k + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -2*z + 34 + 64 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 10*z + 48. Let n be (-4 + 15\/5)\/(z\/(-229)). Which is greater: -58 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 11.11. Let g = -6 + -2. Let z = l - g. Which is the third smallest value? (a) 3 (b) z (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) - (-3084)\/(-2313). Let y = -8 - -4. Put u, -59, 2, y in decreasing order.\nAnswer: 2, u, y, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 + (2 - (-6 + 6)). Let l be 0 + (22 - -2 - -1). Calculate the highest common factor of s and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {g: 2, n: 4, a: 6, x: 2, z: 4, p: 2}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6*4\/64*(-352512)\/(-1944)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982*d + 990*d + 929*d.\nAnswer: -63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -216 and -0.01.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 140643 divided by 6\nAnswer: 46881\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39.2 in 0.4, 30\/163, -0.1, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2238107 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154623397?\nAnswer: 154623397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.641933 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4193, 4109, 4037, 3983, 3953, 3953, 3989?\n\"Answer: l**3 - 91*l + 4283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/30)\/(9\/54) - 4. Solve t = 5*f + 15, 4*r - 2*f - 2*f - 32 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 2. Let k be f(-1). Let c be -5 + k - (-28)\/6. What is the closest to -0.2 in c, -1\/4, -2\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1827 times 154.28\nAnswer: 281869.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -3\/2, -2, -4\/5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -57. Solve 2*r - l + u = 0, -2*r = -3*r - 2*l + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*z - 2000 = 1567*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*x + 113*x + 113*x**2 - 108*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from sbs?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 602*t**2 - 47888*t - 383688.\nAnswer: -2*(t + 9)*(t + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20917079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.40788l?\nAnswer: 12407.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -13, -2, -5, -6.\nAnswer: -13, -6, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(76) + 5*(sqrt(76) - 5*sqrt(76)) - (sqrt(76) - ((sqrt(76) - sqrt(76)*3) + 4))) + 1 + -2))**2.\nAnswer: -152064*sqrt(19) + 21192768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*p - 16, 0 = -2*p - m + 3*m. Suppose -3*j = -p*j - 14. Suppose -4*b + 5*l + j = -11, 3*b = -4*l + 11. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = 70. Suppose a + 17 = 5*o - o, -4*o = 3*a - k. Solve -3*i - 9 = 0, a*i + 11 = l - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358 by 490731.\nAnswer: 358\/490731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 20\/(-4)) + 4. Suppose -5*q = -5*r - 10, r + 2 + o = 2*q. Find j such that j**r + 0 - 4\/3*j - 4\/3*j**4 + 1\/3*j**5 + 4\/3*j**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 10*k**2 + 10*k - 8. Let m be y(-11). Let n be (2 + -1)*0\/m. Let s = 1 - n. Put s, 3\/5, -0.03 in descending order.\nAnswer: s, 3\/5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02699 * 4.\nAnswer: -0.10796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 26*l + 2*s - 26, -l - 2*s - 4 = 0. Which is the third smallest value? (a) l (b) 2 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/5 - c**4\/5 - 27*c**3\/5 - 27*c**2\/5 + 54*c\/5.\nAnswer: c*(c - 6)*(c - 1)*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6127*r**3*y - r**3 + r**2*y - r*y - 2*r + y wrt r.\nAnswer: -36762*r*y - 6*r + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199.3 + 191. Let n = -8 - a. What is the closest to -1 in 1, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(sqrt(468) + -1*sqrt(468)) + sqrt(468))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p + 2*p + (-3 + 2 + 3)*(-3*p**2 + 2*p**2 + 0*p**2))*(-20*p**3 - 16*p**3 - 43*p**3)*(-7 - 17 + 7).\nAnswer: -4029*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56615 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 513965356 to the power of 1\/3, to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, -162 in increasing order.\nAnswer: -162, -33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190826832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14 - 21*26\/91. Solve 13*x - z = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0, -0.241 in ascending order.\nAnswer: -8, -2, -0.241, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 378\/105 - (-6)\/(-10). Suppose -k - q = 3*y, -2*k + 3*y + y = -4. Suppose k*g + 4*g + 12 = -s, 0 = -5*s - g - 3. Which is smaller: s or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3871517*a**2. Let g(j) = 5*j + 9. Calculate g(l(r)).\nAnswer: -19357585*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 9 = 2*b, -2*b = 3*x - 2625 + 2636 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*88\/(-6). Is (l\/(-6))\/(4\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18777, -75122, -169033, -300510, -469553?\n\"Answer: -18783*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h\/h**(1\/4)))\/h)\/h)**(-36)*(h**(1\/3))**(2\/67))\/((h\/(h**(-7\/5)\/h))\/(h\/h**(1\/2)*h)*(h**2)**(3\/8)) assuming h is positive.\nAnswer: h**(387367\/4020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 1474 = -a, 4*a + 1532 - 1756 = 6*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/(-126) + -1 + (-6)\/399*-19. What is the closest to -1\/4 in 2\/9, -5, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let k(h) = -52*h**2. Let w(d) = -261*d**2. Let y(g) = 24*k(g) - 5*w(g). Let b(z) = -7*z**2. Let x(s) = -33*b(s) - 4*y(s). Determine x(f(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71\/5 or -94?\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/((-128)\/(-12)))\/15.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/((-15)\/(-100)). Suppose 0*s + 4*s - h = 0, 5*f + s = 202. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 4239?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -981732*f**2 - 327412*f - 56.\nAnswer: -4*(3*f + 1)*(81811*f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2006 - 1187. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - (-2)\/(-8). Suppose 2*d - 244 + 70 = u. Let r(c) = 19*c**3 + 9*c**2 + 2*c - 8. Calculate the remainder when d is divided by r(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/3 + 412*r**4 - 3806*r**3 - 82876*r**2\/3 - 23408*r = 0.\nAnswer: -627, -4, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(2) + 3)*-2)**2 + (sqrt(8)\/sqrt(4)*3)**2 + (sqrt(2) + 0 + sqrt(2) + 2 - sqrt(2)).\nAnswer: 865*sqrt(2) + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1658 - -97826\/59. Let w = y - 197\/295. Let r = 1117.5 + -1118. Sort w, 2\/9, r.\nAnswer: w, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5025844863 to the nearest 1000000.\nAnswer: 5026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(204))\/(5*sqrt(192)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268531?\nAnswer: 268531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -3\/8, -1\/5, 0.3, -1\/20, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 822\/20 - (-40)\/100. Let y = 43 - i. Which is the smallest value? (a) 6 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080, -138, -1350, -2556?\nAnswer: -3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101010001010011000001 - 0?\nAnswer: -1001101010001010011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * 30090\nAnswer: -8726.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - 2*u**3 + 9 + 6*u**3 + (4*u - 2*u + 0*u)*(u**2 - 2*u**2 + 3*u**2)*(0 - 3 + 6).\nAnswer: 16*u**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12529368 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 - 365 = -313*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877927877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(158044*o**2 + 924*o**4 + 158043*o**2 - 316079*o**2).\nAnswer: 924*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + 4*z - 2. Let g(i) = i**2 - i + 1. Suppose -7*y - 5 = 9. Calculate y*g(k) - x(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79\/4 - -21. Let o be ((-8)\/(-3) - 3)*4. What is the biggest value in g, -0.5, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(0 + 4\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 35 - 30 + 585*l**2 + 5*l.\nAnswer: 585*l**2 + 5*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -69523 + 69635 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 + 255583.\nAnswer: 255583.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 969626267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -b041 (base 16) to base 3\nAnswer: -2021220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-725)\/(-15))\/(2\/12). Let b = 205 - v. Let z = -511\/6 - b. Is 1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46322 (base 8) in base 3?\nAnswer: -222222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266264 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cd5 - 4?\nAnswer: -1cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 1. Let j(g) be the first derivative of 24*g**2 - 2*g + 17. Let w(t) = -j(t) - 3*y(t). Calculate the remainder when w(-3) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/(15\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8988 divided by -1498\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 213 = -i + 93 + 102, -2*k = -3*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243679 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 1, i: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + 10) - -7 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -11 + 14 + 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/100*(-1)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 598.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(77)\/(sqrt(42)\/(sqrt(60)\/sqrt(10)) + sqrt(7)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 1, i: 2, s: 1, b: 1, j: 1}. Give prob of sequence ibx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/5 (c) 5.055 (d) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -67*a**4\/2 - a**3\/6 - 6*a - 70. Let b(c) = -2*c. What is r(b(t))?\nAnswer: -1608*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974900799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/48 - 1\/(8\/(-14)). Let w be 40\/(-6)*(h - -1). Let u be 32\/6*(-15)\/w. Sort 1, u, 8, 0 in decreasing order.\nAnswer: 8, u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*g)*(-3 + 5 - 3)*(28 - 136*g + 260*g - 141*g) to the form k + n*g + b*g**2 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1690 = -4*x + 1524, 3*x - 4*l = 2423. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14745.\nAnswer: 3, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:25 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 5*g - 7. Let a be p(0). Let s(n) = -7*n - 20 + 3 + 0*n + 0*n. Does 8 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 6 = 0. Let k be 5\/(-15) + d\/6. Suppose 0 = -s + 4*s + 4*f - 61, k = 5*s - 3*f - 63. Solve -y - s = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 7714150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2299) + 2)**2 - (4 + sqrt(931))).\nAnswer: 37*sqrt(19) + 2302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -853)*(6 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 14, i: 2}. Give prob of sequence zi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 5, 4, -107686, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*v - 202*v - 686*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 774.1 and -0.06.\nAnswer: 774.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/(-84) + 135\/108.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 2, o: 1, i: 2, s: 1, c: 1}. What is prob of sequence sxf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -157.2672?\nAnswer: -160.2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 2. Let c = -26 + 13. Which is bigger: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184174 - -0.2\nAnswer: 184174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296522239 to the power of 1\/2, to the nearest integer?\nAnswer: 17220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 433*d**2 - 427*d**2 + 4*d + 868*d**2 + 2*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**34*u)\/(u*u\/(u*u*u*u**40)) assuming u is positive.\nAnswer: u**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.56 (b) 0 (c) 5 (d) -3\/2 (e) 0.8 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 202*v**3 - 66*v**2 - 14*v. Let z(a) = 68*a**3 - 22*a**2 - 5*a. Let o(i) = 5*q(i) - 14*z(i). Find the third derivative of o(j) wrt j.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 178 = 2*n, 2*n + 2*n - 232 = -3*b. What is the tens digit of 80241\/b + 1*1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (13 + (5 - 18) + 13 + -23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9522*d**5 - 19039308*d**4 + 66690458*d**3 - 63960672*d**2 + 9660840*d - 399200 = 0 for d.\nAnswer: 2\/23, 5\/3, 1996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, v: 3}. Give prob of picking 2 i.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 891, 5796, 18913, 44346, 86199, 148576, 235581, 351318?\nAnswer: 499891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 - -177. Suppose -5*k = 5*p - 15, -2*p + 4*p + f = 0. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 + u + 2*u**2)*(-12 + 12 - 5*u**3).\nAnswer: -20*u**5 - 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 7, v: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*w**4 + 1146*h**2 - 8391*h*w - 11 wrt w?\nAnswer: 8*h**2*w**3 - 8391*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 360. Let p(q) = -3*q**2. What is a(p(r))?\nAnswer: 36*r**4 - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21466?\nAnswer: 2, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -1\/6*y**4 + 0*y + y**2 - 1\/15*y**5 + 0*y**3 + 0. Find the second derivative of a(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77241 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1) - -2) + 1. Factor 3*x**2 - z - 5*x**2 + x**2 - x**2 + 4*x.\nAnswer: -2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -584195 divided by 31?\nAnswer: -18845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7))**(-41)\/(i\/i**(-7))**(-40) assuming i is positive.\nAnswer: i**(1871\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46918997, 93837993, 140756995, 187676003, 234595017?\nAnswer: 281514037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 9*s**2. Let g(j) = -2*j**3 - 4*j**2. Suppose w = 6*w. Let f(h) = -3*h + 5*h + w*h - 11. Let o be f(8). Give o*g(n) + 2*l(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, h: 3}. What is prob of sequence gh?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 990.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2121, -4, 10, 2, -5 in decreasing order.\nAnswer: 10, 2, -4, -5, -2121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122694 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41\/4938 - -57569\/4938. Find i, given that -3 + 2\/3*i**4 - 13\/3*i**3 - 41\/3*i**2 - q*i = 0.\nAnswer: -1, -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44939 is divided by 118?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2. Let q(r) = r - 135. Calculate q(l(u)).\nAnswer: 6*u**2 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 38*q + 6. Determine r(-5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2001? (a) 5 (b) 1 (c) 0.3 (d) -65 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l + 1072 - 952 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 - (-17)\/2 - -5. Let f = -0.02 + 5.02. Put h, -42, f in descending order.\nAnswer: f, h, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + a**2 - 2*a - 2. Let m(y) = -37*y - 224. Let w be m(-6). What is h(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5352*c - 2667*c - 2668*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -8*k**5\/5 + 5*k - 4. What is the derivative of v(m) wrt m?\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -v, -2*v = 4*r + 7*v + 6. Let p = -1 + -4. Which is the closest to r? (a) -3 (b) -0.3 (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/6*o**3 + 0 + o - o**2 + 1\/3*o**4. Let d(k) = -5*k**2 + 2*k + 3. Suppose 0*b + 15 = -5*b. Give b*d(f) - 4*m(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16147, -32313, -48477, -64639?\n\"Answer: p**2 - 16169*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -b - b + 13, 3*b - 7 = -2*l. Let j(g) = 4*g - 1. Let w be j(b). What is the smallest value in w, 2\/21, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3475224024?\nAnswer: 2, 3, 144801001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, b: 2, u: 1, s: 8, j: 3, d: 1}. Give prob of sequence sjug.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/((-64239)\/42))\/2?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -885*d**2. Let m(c) = 35864*c**2 + c. Give m(f(i)).\nAnswer: 28089581400*i**4 - 885*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19*h + 25*h + 5*h**2 - 15*h + 5*h**2 + 4 - 73*h. What is the lowest common multiple of 22 and g(16)?\nAnswer: 13772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2288 + 4579 - 2291 - 1448*p as k*p + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2956 by 6.\nAnswer: -1478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29677*51.\nAnswer: 1513527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/4)\/15*(-208)\/78?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.61 - 0.27. Let r = -0.06 - t. Let z = -2 - -1. Put z, 0.5, r in ascending order.\nAnswer: z, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 19181*r**3 + 19248*r**3 - 38359*r**3.\nAnswer: 70*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1746 and 1552?\nAnswer: 13968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 3*c**3 + 0*c**3 + 0*c**3 - 2*c**3 - c**3 + 4*c**3 - 3*c**3 - 2*c**3 + (-c**2 - 1 + 1)*(0*c - c - c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/21 + 1\/21. Let y = 0.5 - 1. Sort -4, l, y.\nAnswer: -4, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*u - 13740 + 40898 = 0 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 20*q**2 + 33*q + 66. Calculate h(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, f: 3, m: 4, d: 2}. What is prob of sequence fmf?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11997222 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = z + 139. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -1.177. Let c = -0.011 - g. What is c rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2921046 divided by 5?\nAnswer: -2921046\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 16 + -6 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1)\/(-52)*(-316)\/237\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 172 = 9*c + 360 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/6)*(5 + -3). Let m be 7\/((-7)\/16) - a. Calculate the common denominator of -53\/4 and 16\/(-6)*(2 + 63\/m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*d + 4*z + 17, 4*d = -z + 75. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303 and 13302306.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + (-1 - 2) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 - -388. Let d = 765.0135 - t. What is d rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 26, 50, 84?\n\"Answer: 5*m**2 - m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1 + 3*r - r**2 - r - 2*r. Let n(w) = 8*w**2 - 4*w + 8. Let d(b) = n(b) + 6*u(b). What are the prime factors of d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 9. Let q be w(-8). Let i(m) = 2 - q - 2*m - 1. Let z(t) = 3*t. What is i(z(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h)**42*h**(1\/8)*h**(-1\/5)*h)**(-36))**(-5\/4) assuming h is positive.\nAnswer: h**(333\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -161.09427835.\nAnswer: -158.09427835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b + 24084 - 63256. Let h = b + -1377. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*g - 12 = 0, 3*w - 32 = 2*g - 7*g. Let z(d) = 5*d - 2. What is z(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13100334?\nAnswer: 2, 3, 13, 167953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 9)\/(1\/(2 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 + 0*n**2)*(2 - 3 + 0) - 10*n + 10*n + 18*n**2 - 33*n + 33*n - 26*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(224\/(-35))*176 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 6*y - 6. Let f be j(6). Find the common denominator of (3\/(-10))\/(f\/(-16)) and -49\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 20. Let b(l) = l - 1. Let n = -12 - -13. Let m(q) = n*j(q) - 8*b(q). Let m(g) = 0. Calculate g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*y = 33, -36*y = -2*c - 32*y + 34 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = 68*m + 1531 + 906 - 299 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/4822 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 433392988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + 4 + -7)*(-2)\/(-6). Suppose 2*r + 3*v = -29, y*r + 0*v = v - 16. Let t = 12 + r. Solve -z + t*s = 4*z + 20, -z - s + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 6 + 1. Put 3, v, -3 in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4700, 9478, 14274, 19094, 23944, 28830, 33758, 38734?\n\"Answer: i**3 + 3*i**2 + 4762*i - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2\/39, -58, 5, 1, 11, 1\/2 in descending order.\nAnswer: 11, 5, 1, 1\/2, 2\/39, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, -3, -1, -4, 199, 4, -9 in decreasing order.\nAnswer: 199, 4, -1, -3, -4, -9, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(165) - sqrt(165)*2 - sqrt(165))\/sqrt(11))\/(sqrt(3) + sqrt(3) + (sqrt(24)\/sqrt(2))\/sqrt(4)) + (1 + -5*5*sqrt(245))**2.\nAnswer: -1051*sqrt(5)\/3 + 153126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 202122100?\nAnswer: -202122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -18*r + 31*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4 - 818*t - 735*t - 5 in the form j + d*t and give d.\nAnswer: -1553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/k**(-3))**(17\/2)\/((k*k**0)**30*(k\/(k*k**1))**38) assuming k is positive.\nAnswer: k**(251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10310569?\nAnswer: 31, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2214 - 2214 + 14*n**2)*(4 - 8*n - 9 + 2*n).\nAnswer: -84*n**3 - 58*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4117685, 4117677, 4117655, 4117613, 4117545, 4117445, 4117307, 4117125?\nAnswer: 4116893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*-6*(-2)\/16.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/(-8) + 6)*(3 + -1). Let t be (30\/(-13))\/3 + 0. Let p = t - -12\/13. What is the nearest to f in p, 0, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 8672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64133 is divided by 1225.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 10*z + 9. Let y be d(-10). Suppose -3*s - 2*o = -13, -4*s - 2*o + y = -11. Let m be (-6)\/s*(-42)\/9. Solve -5*b - 21 - m = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1619 - -1619. Let h(r) be the first derivative of -23 + g*r - 9\/7*r**2 + 1\/7*r**3. Determine a so that h(a) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b**4 + 646672*b**3 - 1217076*b**2 + 494408*b + 76064 = 0. What is b?\nAnswer: -2\/17, 1, 9508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/6 + k**3 + 6*k**2. Is 11 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose 2*m - 5*m + 3 = x. Let s be -1 - (100\/(-750))\/((-6)\/(-46)). Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 24. Suppose -501 = 2*m + 5*f, -3*m - 6*f = -3*f + 738. Let a be (-2)\/10 - m\/90. Sort a, y, -2 in descending order.\nAnswer: y, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 9682 = -9668 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 78021.5.\nAnswer: 78020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 53817143.\nAnswer: 7\/53817143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -932*f + 273*f - 1380*f**2 + 1282*f**2 - 1800 - 181*f.\nAnswer: -2*(7*f + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a43e8d (base 15) in base 11?\nAnswer: 445456a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(99) + 2 - (-2*sqrt(66)*1 + sqrt(66) - sqrt(66))\/(sqrt(96) - (sqrt(96) + -2*sqrt(96))).\nAnswer: 1 + 13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 326311876 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 835275655204.\nAnswer: -835275655201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 7*l**5\/60 - l**4\/12 + l**3\/6 - 21*l**2. Let a(m) = -m + 4. Let s be a(3). Let t be f(s). Solve h - t*h = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 46. Let n be (t - 2)*(-20)\/5. What is the first derivative of -21*j**3 - 3*j**3 + 4*j - n*j + 7 wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.26 (c) -154 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -3. Let n = 46 - 39. Suppose n*b - c*b = -3. Solve u - b = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -109971?\nAnswer: -109971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.00388? (a) 0.5 (b) -2 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/133?\nAnswer: -9\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31752 is divided by 1758?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11628197*a**3*g**3 + 2*a**3*g - a**2*g**3 + 3360499*a*g**2 - 28*g**2 wrt g?\nAnswer: 69769182*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59547352 and -0.6.\nAnswer: 35728411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b\/((b*b**(-39)*b)\/b))*b**1*b assuming b is positive.\nAnswer: b**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 145100 to the nearest 1000.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*2*3*(-60)\/1728.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t - 47. Let x be j(-2). What is the smallest value in x, -1, -2\/11, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1878*j = 124*j + 471*j - 56351 - 111813 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.9962 + 38. Round p to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 91\/12*t**4 + 62*t - 2 - 7\/3*t**3 + 3\/2*t**2. What is the second derivative of x(j) wrt j?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17940900 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 11*w + 8. Let b(v) = v - 1. Give -6*b(h) - j(h).\nAnswer: -2*h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k\/(k**(2\/9)\/k*k))**(-5\/12)*(k\/((k*k**1*k)\/k*k)*k**(-3\/7))**(2\/11) assuming k is positive.\nAnswer: k**(7493\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/21 + (-4 - (-58)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*y + 3*y + 20, 18 = 2*y - 4*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-155) + (-28776)\/(-124) is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/30 and 75\/3449788.\nAnswer: 51746820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 97330.\nAnswer: -17\/97330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69 - -d03?\nAnswer: d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let s(b) = 6*b**2 + 4*b + 4. Let z(x) = -4*x + 5. Let p(f) = -f + 1. Let w(a) = -9*p(a) + 2*z(a). Let j(y) = -s(y) + 4*w(y). What is j(n(r))?\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(104)*1 - 4*(sqrt(104) - -2*sqrt(104)))\/(sqrt(200) + (sqrt(200) + sqrt(200)*2)*5).\nAnswer: -3 - 3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719976?\nAnswer: 2, 3, 131, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 - 14*n + 33. Is 27 a factor of g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288474913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1}. Give prob of picking 1 c and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 47 = 4*m, -56*s + 60 = -52*s + 8*m for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22761 - 1fa?\nAnswer: -2295b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12068*d - 18279 wrt d?\nAnswer: 12068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4483499.\nAnswer: 31, 144629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5*g + 10, 10*i - 18*g = -21*g - 46 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -6, 5 in decreasing order.\nAnswer: 5, 0.1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*o = -o + 53, -3*m + 57 = 3*o. Let c be (m*(-4)\/32)\/((-1)\/4). What are the prime factors of 29\/3*21\/c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -7) - (-5 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-8 - (-6 - (1 + -7)) - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 9*i**2 - 9*i + 14. Suppose 25*m = 18*m + 56. Let r be q(m). Is 28 a factor of r\/(-21) - (3116\/(-28) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 281 + 4?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 + 2*u + u**2 - 4 - 3 - 5*u. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 157*v + 2*v**3 + 108*v + v**2 + 15 to d + j*v**2 + u*v**3 + t*v and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 1. Let u(c) = 2*c - 3 - 2 + 0. Suppose 3*y - 5*y + 4 = 0. Let x = y + -1. What is x*u(m) - 3*k(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64450986 rounded to the nearest one hundred thousand?\nAnswer: 64500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12*4*-3. Suppose 2*x + x - c - 368 = 0, -2*x + n*c = -240. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-2 + 1))\/1. Suppose -p = -5 + y. Suppose 65 = 2*v + p*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from {g: 5, z: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32 - -2)\/(24 - 26). Solve 2*c - h = -23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1110, -2210, -3310, -4410, -5510?\n\"Answer: -1100*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (1 - -1)\/18 and -4\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*d**2 + 18454*a**2*d + a**2*i - 2*a*d + 15*d**2*i**2 - 6*d*i**2 + 10*i with respect to i.\nAnswer: a**2 + 30*d**2*i - 12*d*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -11*i - 15, -21 = -3*u - 3*i. Let v be 2\/(-4) - 187\/22 - u. Let a(c) = 36*c**2. Let y(b) = -7*b**2. Calculate v*y(p) - 2*a(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d**2 + 0*d**4 + 0 - 2\/9*d**5 + 4\/9*d**3 - 2\/9*d = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t + 2. Let f be l(2). Suppose -f = -3*o + 2. Suppose o*j - 64 = w - 4*w, 5*j + 10 = w. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(2 + -4)\/(-6). Suppose 115*k - 21*k = 4*k + 630. Which is the nearest to -1\/7? (a) g (b) -1\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 68. Is f at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681190 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 32. Give q(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404553925, 404553922, 404553907, 404553874, 404553817, 404553730, 404553607, 404553442?\nAnswer: 404553229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 109.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 441439?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/75 in 0, -0.3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2219, 2215, 2211?\n\"Answer: -4*k + 2223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 3*r - 2, 4*v + r - 18 = 0. Solve 3*c - v*c + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r + 1. Let q(a) = -31 - 27 - 3*a + 57. Let x(n) = -2*o(n) - 5*q(n). Suppose f - 21 = 5*v - 1, -2*v + f - 5 = 0. Determine x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-4 - (-8 + (-9)\/(-3)))\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 75*y + 37*y - 115*y.\nAnswer: -3*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2 - 2*i - 5 - 5. Let z(v) = 1. Suppose 370*p = 356*p + 14. Let x(d) = p*c(d) + z(d). Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536701 (base 9) to base 8\nAnswer: -1160576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9.9 (b) 2 (c) -2\/13 (d) -0.1 (e) 5253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.45\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15 - -16) + 1*7. Let j(h) = 2*h**2 - 12*h - 22. Let m be j(9). Calculate the greatest common factor of m and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 134*t**4\/3 - 644*t. Let u(c) = -4*c**2. What is w(u(q))?\nAnswer: 8576*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.1. Let v = c - 0.284. What is v rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + 0.114. What is c rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -14) + 13 + -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3978)\/(-3465) - 744\/682?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1066736 and -58\/81301?\nAnswer: 414960304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*f - 29*f - 146 - 27*f - 1 + f + 1 + (1 + 3 - 5)*(-5*f + 4*f + 3*f) + (-2 - 2 + 2)*(-2*f + 1 - 1).\nAnswer: 5*f - 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40471512131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 35*o - 123. What is l(37)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-25 + 25 + 5*q**3) + 31*q**3 + 18*q**3 + 5*q**3 in the form s*q**3 + z + g*q + d*q**2 and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8705 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1 (c) 0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 229 = 22. Let h = 461 + -183. Let f = h - n. What is the highest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660826 a multiple of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 218 = h + 2*d, 115 = -h - 2*d. Let g = h - -111. What is the closest to g in 13, -2\/15, 1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**2 + 4*x**2 - 40*x**3 + 2 + 2*x**2. Let z be k(2). Round z to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/24*(273\/156)\/(6\/(-126))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-5\/11)\/c)\/c))\/(((c*c\/(((c*c**(-38))\/c)\/c))\/c)\/c*c) assuming c is positive.\nAnswer: c**(-402\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 21*o = 707 - 507 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 49*l**2 + 18. Let f(a) = a. Determine f(m(d)).\nAnswer: 49*d**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 49*m + 27. What is v(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*((v - 2*v + 3*v)*(1 + 2 - 6) - 6*v - 4*v + 0*v).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -31*q + 158. Let u be z(5). Find the common denominator of u\/336*4*(-1390)\/15 and 181\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1221434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d16a45 - -1?\nAnswer: -d16a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 - -1 - (-7 - -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x - 6 - 70*x - 510*x + 3.\nAnswer: -475*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 + -61. Suppose 4*p + f = 43, 4*f - 3 = 5*p - t. Let j(o) = -o + 15. Let m be j(p). Solve -3*n = -2*n - 5*h + 25, 2*n = -m*h + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(1 + 3\/(-2)). Let q(l) = -l**3 + 8*l**2 + 10*l - 13. Let m be q(9). Let f(r) = -3*r - 7. Let u be f(m). Solve 4 = u*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 + -95. What is the smallest value in 6, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n - 1012. Let i be c(54). What is the highest common divisor of 161 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 3 = -11*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 832567, 832621, 832675, 832729, 832783?\n\"Answer: 54*b + 832513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45\/(-27)*5652\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 284 + 757 + 15870*g - 15877*g as w*g + k and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:26 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117*x**2 + 60*x**2 - 48*x**2)*(x - x - 2*x)*(-4 - 1 + 4) as z*x**3 + q*x + w + i*x**2 and give z.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 0.01, -10.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*b - 87*b - 450 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65522?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = 16*g - 2476. Let x = 31 + g. What is the greatest common factor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87275497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z - 44. Give s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 50, 43?\n\"Answer: -7*n + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 + d**5\/15 - 5*d**4\/24 - d**2. Let p be i(-5). Let l(r) = r**3 + r**2 + 27. Is l(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 481 = 5*y + 22*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 3. Let r(a) = 5*a - 13. Let z(v) = -26*p(v) - 6*r(v). Let j(m) = 2*m. What is z(j(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 16*i = 828. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218, 498, 966, 1622, 2466, 3498?\n\"Answer: 94*p**2 - 2*p + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/30 + p**2. Let b be c(1). List the prime factors of 14\/(3*b\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 78 + 15 = 0. Let i(q) = -q**2 - 5*q - 10. Let n(t) = -2*t**2 - 11*t - 20. Let j(l) = u*i(l) - 4*n(l). What is j(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(-7))\/u*u*u)\/u*u*u)\/u**(1\/5))\/(u**(-5)\/(u**(2\/43)*u)) assuming u is positive.\nAnswer: u**(612\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -563, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-885)\/275) + 4\/22. Which is the closest to u? (a) -0.3 (b) 2\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 842 - 356. Let l = p + -460.3. Round l to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/105 - 3*g**5\/50 + g**4\/15 - 16*g. Factor u(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 24 = 2*l, 2*l = -5*s + 119 - 24. Suppose 208 = -16*j + s*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47474467 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:12 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -248*w**3 + 974*w wrt w.\nAnswer: -1488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/u*(((u**(-8)*u*u)\/u)\/u)\/u*u)\/((u*u**(2\/27)*u)\/(u\/u**(-6))) assuming u is positive.\nAnswer: u**(-521\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:54 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Suppose -g - 2 = m + 2*g, -20 = -v*m + 4*g. Suppose -z = 3*z - m. Solve -p = -2*t + p - 10, -p = t + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 845, 1005, 1165, 1325?\n\"Answer: 160*c + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6 - 41*r + 58*r + 45*r. List the prime factors of p(12).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.82349793 to 2 dps.\nAnswer: -12.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 323\/7. Let f be (2 - 1)*(1 + 0). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22\/9 + -737\/18. Is f >= -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 25137068.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317 - -176. Let w = y + 140. What is the second smallest value in w, 0, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*x**3 + 351*x**3 + 2 - 2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odooojkkohjo. What is prob of picking 1 j, 1 h, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 9. Calculate the highest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 5*z + 11, -5*c + 65 = 4*z. Let w = 0 + c. Solve -4*q - w - 7 = 2*b, q - 2*b = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {o: 1, t: 1, h: 2, r: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -334810?\nAnswer: 167405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-1 + 0)) + 2. Let y(t) = -t. Let q(r) = 12*r**2 + 6*r - 1. Let c(v) = q(v) + 5*y(v). Calculate c(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.66715413 and 53.\nAnswer: 49.33284587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - -68. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (3 + 11) - (15 + -35)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*p + 24, 7*p + 19 = i + 11*p. Solve i*m + 0*j + 5*j - 14 = 0, -5*m + 4*j = -11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 = 40*d + d. Solve -d*t = 45 + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 125, 362, 707, 1154?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from mvvml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-100))\/(3\/(-90)*-1*-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*h**5 + 4*h**2 - 7.\nAnswer: -1440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 2*o - 58. Let q be n(-6). Let m(y) be the second derivative of 638333*y**3 - 10*y**2 + 5*y. Let u be m(q). Round u to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17248 = 4932*f + 71186 + 20042 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966379 is divided by 458?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787 is divided by 184.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5462, 10925, 16388?\nAnswer: 21851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/1470 and 23\/735.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -25. Let u be 1 + 3 + 2\/(-1). Suppose -s*l + 12 = -u. Put 5, l, 2 in decreasing order.\nAnswer: l, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**3 + 4*u**2 - 27*u - 67. Let w(k) = 2*k**3 - k**2 - k + 1. Let s(o) = -g(o) - 4*w(o). What is the derivative of s(f) wrt f?\nAnswer: 3*f**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -71, -103, -135?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 6 + 15 = -5*w, 3*w + 5*c + 24 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/7830 and -103\/35198982.\nAnswer: 175994910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 5*k**2 + k**2 + 3*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0697761 to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdizdzzizzzzzdz. Give prob of sequence zi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 9*s**2 + 11*s + 3. Let l be x(8). Suppose 0*o + 3*o - l = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.115 - 10205695?\nAnswer: -10205615.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7661148 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 2*v**2 - 2*v - 1. Let a(g) = 2*g + 10. Let x be a(-6). Determine l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -216558 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 2*b + 3*a, -b + 18 = -a. Suppose 2*q - b = -4. Let u(m) = 0*m + 5*m + q - 4*m. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - 4. Let f = u - -26.7. Let y = 505 + -504. Which is the third biggest value? (a) y (b) -3 (c) f (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 20, 0 = -0*j + 5*j + 2*c + 23. Let x(l) = -l**3 - l**2 - 2*l + 4. What is the units digit of x(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16026825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 12*u + 2. Let v be h(-12). Sort 3, 1, 4, v in descending order.\nAnswer: 4, 3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 5*((sqrt(102) + (sqrt(102) - sqrt(102)*1))\/sqrt(6) + -5))*2.\nAnswer: -56 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 293.6 and -13011978.\nAnswer: -13011684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7958 - 4358. Suppose -4*x + j = 5*x. Suppose -b - 3*b + x = 0. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -262*u + 586. Is 20 a factor of c(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 168 = 0. Let n be z\/22 - 4\/(-22). Is (-10)\/20 + 558\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805977, -805976, -805975, -805974, -805973?\nAnswer: -805972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*3\/72*-7\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*x**5 - 10*x**3 + 0 - 38\/3*x**4 + 4\/3*x - 2\/3*x**2.\nAnswer: -2*x*(x + 1)**3*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/((-4)\/(27 + -4635)). What is the greatest common factor of 144 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23104 and 18392.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.005 and 2.28.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let q(t) = 1 + 0*t + 5*t - 2. Let j be q(1). Let x = -4 + j. Determine c(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2305905, 2306285, 2306665?\nAnswer: 2307045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3734471*f**4 + 1581866*f wrt f?\nAnswer: -44813652*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:01 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g - 4*g + 5*g + 441 - 441. Let s(h) = 15*h. What is s(u(w))?\nAnswer: -135*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**11\/1164240 - p**10\/529200 - p**5\/20 - 2*p**2. Let z(n) be the third derivative of h(n). Factor z(f).\nAnswer: 2*f**4*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 - 1206.\nAnswer: -1196.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -303, -604, -905, -1206?\n\"Answer: -301*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) -0.3 (b) -1\/3 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 2*f**2 + 4*f - 5. Let k(w) = -w + 6. Let m be 3\/((2\/(-10))\/(28\/(-105))). Let a be k(m). Let n be p(a). Let r(v) = 2*v. Give r(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 366*n + 6. Is 3 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 42 + 25 + 194*l**2.\nAnswer: 194*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 take away -843.0846?\nAnswer: 1443.0846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**9\/126 + d**6\/6 + 1231*d**5\/60 - 701*d**2. What is the third derivative of a(s) wrt s?\nAnswer: -480*s**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 10. Let t be g(-3). Suppose 14 = 17*a - t*a. Suppose 0 = 11*y - a*y + 28500000. Round y to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-16 - (5 + -4)) + 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 2*p**6\/15 - 363*p**5\/5 + 10920*p**4 + 66248*p**3\/3 - 5*p + 79. Let b(h) = 0. Calculate h.\nAnswer: -1, 0, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.876 > 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33)*z*z**(1\/26)\/z*z\/((((z\/((z\/z**(3\/38))\/z))\/z)\/z)\/z)*z**(-28) assuming z is positive.\nAnswer: z**(-14336\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = -5*i, 3*x + i = 3*i + 11. Let o be ((-3530)\/4)\/(-5) + x. Let k = o + -156. Calculate the common denominator of k and -27\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -30. Let t be ((-2)\/s)\/((-1)\/4). Let z = 0 + 0. Is t at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.8561 nanometers in centimeters?\nAnswer: 0.00006148561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*m + 1043, 4*m - 836 = 8*m + 4*f. Let p be (m\/46)\/((-1)\/2). Sort 2, p, -5.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54.23 and -57?\nAnswer: -3091.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 2\/7, -2, -3041?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/24*-10 + 0 + 8020584\/416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(2736))*-3 - (4 + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + 1*sqrt(2736))) + sqrt(2736))*6)**2 + -5.\nAnswer: 5184*sqrt(19) + 99787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let a be -2 - ((-350)\/(-24))\/(-7). Let z(l) be the second derivative of 0*l**2 + 0*l**3 + l - a*l**4 + 0. Calculate z(v(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 3*((sqrt(242) + (1*sqrt(242) + sqrt(242) - sqrt(242)) - sqrt(242)) + sqrt(242)))\/sqrt(11))\/(-5*-6*1*sqrt(11)).\nAnswer: 7*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 3*m + 12. What are the prime factors of s(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 27, 35, 47, 63, 83?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104958 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 16. Suppose 0*u + u + 127 = 2*w, 0 = 2*w - d*u - 112. What is the remainder when w is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 - 267 - 10317*p + 158 to the form m + j*p and give j.\nAnswer: -10317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + -1 - (8 + -8). Suppose 0 = 2*q - 0*q - m. Solve -5*p = 2*v + 13, -q*v - 4 = 4*p - p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 229908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((-288)\/(-135))*4\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595 (base 10) to base 14.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 606186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1422 divided by -11.\nAnswer: 1422\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41313007 - 8680*t + 41313007 - t**2 to m + f*t**2 + v*t and give v.\nAnswer: -8680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - 4) + (-13 - -1 - -2) + 101 + -101?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -198.9 and -9.7.\nAnswer: 1929.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from fkfffkfkff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {x: 2, d: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 593, -4, -1\/4 in decreasing order.\nAnswer: 593, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - 6*l + 17*l)*(1 - 5 + 24 + 3) + (-2*l - 2 + 2)*(1 + 4 - 4) + l + 0 + 0 - l + 4*l - 12*l.\nAnswer: 59*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (1 + sqrt(243) + 4 + (3*sqrt(243) + sqrt(243) + sqrt(243))*3)*-4))**2 + -3 + -1.\nAnswer: 633600*sqrt(3) + 24895296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o - 4*o)*(-o**2 - 10*o**2 + 7*o + 4*o**2).\nAnswer: 56*o**3 - 56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14107, 29755, 47071, 66061, 86731, 109087, 133135?\nAnswer: 158881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 28*p + 23. What are the prime factors of n(10)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1.2 (b) -5 (c) -6 (d) -3\/2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19217 take away 17148?\nAnswer: -36365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10 + 0)*5. Suppose q*o + 2*o - 8 = 0. Suppose -3*t + 13 = 5*i, -7*t - 3*i + 27 = -o*t. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8 and 29\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2873*s**5 + 2771*s**3 + 19*s**2 + 962*s + 629 wrt s.\nAnswer: 172380*s**2 + 16626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 1. Let l be 0\/(-2*(2 - 3)). Suppose 5*r - 15 = -5. Suppose r*d + 10 = 5*i, l = 2*i - 7*i - 5*d + 10. Calculate y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*l + 11 = -2*l, -3 = 2*a - 3*l. Do a and -16\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83\/4 - 47\/2. Let f(l) = -3 + l**2 - 6*l - 4*l + 2*l. Let o be f(8). Is o not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 30. Suppose y + f - 18 = -f, -66 = -5*y - 4*f. What is the smallest common multiple of b and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 18*f**2 + 19*f - 12. Let l(h) = h**2 + 17*h + 74. Let w be l(-6). Determine m(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 6*q - 3. Let p be c(-4). Suppose 0*o - p*d = -o - 21, -4*d + 16 = 0. Put -3, -5, o in descending order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.7 + 20.7. Which is the smallest value? (a) -3\/38 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Let q = 36.774 + -36.804. What is the closest to q in -0.3, -1, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-14) assuming f is positive.\nAnswer: f**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:03 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + 5*u**3\/6 + 8*u**2 + 37*u. Let t be h(7). Suppose -q - t*q = -264. Does 44 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*z - 1. Let w be 6\/(-1 - z) - -3. Suppose -7*c + 5*c - 4 = w. Put 0, c, -5 in ascending order.\nAnswer: -5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.3 (b) 17\/2604 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 14*q**2 - 4*q + 8. Calculate f(14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1127182 - 1452818 = -2*d. What is d rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -4.49675, 3 in decreasing order.\nAnswer: 3, -6\/17, -4.49675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 - 597*n + 3657. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 252 and 7561.\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6062496mm in kilometers?\nAnswer: 0.0000006062496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 35*j**4 + 5*j**3 - 215*j**2 + 180 = 0. What is j?\nAnswer: -2, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26609 divided by -2.\nAnswer: -26609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.7 in -1, 3, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145*j**3 + 41480*j**2 - 2967965*j + 204490.\nAnswer: -5*(j - 143)**2*(29*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = -3*v, 0 = 2*v - 3*r + 16 - 1. Suppose v = 6*y - 2*y - 44. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254699\/56 - -52341\/8. Let q = 2000 - z. Let m = q - 202\/35. What is the closest to -2 in -2\/19, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -885864 divided by -5\nAnswer: 885864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38699068*q**3 - 7104*q**2 + 4*q - 1191 wrt q.\nAnswer: 232194408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14935*x**5 + 63*x**4 + 4*x**3 + 20692845*x wrt x.\nAnswer: 298700*x**3 + 756*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13936, 14671, 15908, 17653, 19912, 22691, 25996?\n\"Answer: h**3 + 245*h**2 - 7*h + 13697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -1\/120*q**6 - 7\/24*q**4 + 1\/6*q**5 + 0*q + 0 - q**3 + 5*q**2. List the prime factors of u(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 448, -5\/3, -0.3 in descending order.\nAnswer: 448, -0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -206766 >= -206764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7066 + 14853. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - -2*5\/10. Suppose -7*l + 11 = -f. Suppose -3*y = -6, -l*y = -2*p + 2*y + 852. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 0, 3*z = z - 5*c + 42. Suppose -4159*g + 4151*g = -104. Calculate the remainder when z is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 57*y - 5853. Calculate q(73).\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11632 - -3.88368. Sort p, -4.16, -3\/4, -5.\nAnswer: -5, -4.16, -3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-2)\/h*h)*h\/((h\/(h**8*h))\/h))\/(h\/h**(-3)*h**(-5)))**(-41))**16 assuming h is positive.\nAnswer: h**(-8528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0 + 3)**2 + 2 + sqrt(3) + (sqrt(3) - -3*sqrt(3)*3) + sqrt(3).\nAnswer: 66*sqrt(3) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.85 - -3.15. Which is the third biggest value? (a) 4\/5 (b) -0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -12, 0, 76, 5, -3 in descending order.\nAnswer: 76, 39, 5, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u - 12. Let x be l(5). Let s be (-12)\/(-7) - (-1 + 20\/x). Suppose g = -5*d + 282, s*g + 177 = 3*d - 0*g. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 - -155. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -31*j + 10*j + 7 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*k - 2029 = 0, 3*v - 4*k - k = -2009. Is (v\/(-4))\/(((-20)\/(-16))\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.7 and -15?\nAnswer: -130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 1452871329.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, d: 3, h: 1}. Give prob of sequence hde.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74\/4 + (-24)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Suppose 4*a = -2*h + h + 127, 4*h = -z*a + 92. Which is smaller: 31 or a?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7363\/36765 - 2\/7353. Let h(g) be the second derivative of 0 - 1\/5*g**3 - 1\/50*g**5 + g + 1\/10*g**4 + u*g**2. Factor h(n).\nAnswer: -2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -29, -46, -63, -80, -97?\n\"Answer: -17*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from {w: 4, d: 1, g: 4, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23449230 by 37221.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (264\/330)\/((-23)\/(-5)). Which is the closest to 2\/5? (a) 0.2 (b) -2 (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15700*c**2*g**2*u**3 - 4*c*g**2*u**2 - 32*c*u**3 + 43*g**2 + g*u**3 wrt c.\nAnswer: -31400*g**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142119, 142117, 142113, 142107, 142099, 142089?\nAnswer: 142077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p. Let f be x(1). Let v be (0\/(-1))\/(6 + -5). Suppose v = 5*s - 3*m + 7*m + 6, -2*m = 3*s + 2. Solve 25 = s*l - f*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 4*h + 2. Let x be u(2). Let m(v) = -8*v + x - v**2 - 6 + 3*v. Let n be m(-4). Solve -3*y - k - 17 = n, -2*y - 2*k + 7*k = -17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(x**3 + 2*x**3 - 4*x**3) + 4246*x**3 - 24906216*x**2 + 24906216*x**2)*(-x + 2*x - 2*x).\nAnswer: -4248*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30996 and 5103?\nAnswer: 836892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10 - 5*c + 16*c - 5*c - 2 - 7*c. Give m(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229649850 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 3 + 42*y + 21*y.\nAnswer: 81*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-180)\/27*18\/4. Let y = 32 + j. Suppose -2\/9*s + 4\/9*s**y - 4\/9 + 2\/9*s**3 = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -2580, -3838, -5096?\nAnswer: -6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l + 26 - 17 - 24. Let b(s) = 12*s + 12. Let q(v) = -4*b(v) - 3*x(v). Determine q(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 7. Let z be h(-5). Let p = z - 9. Suppose -6299988 = -u - p*s, 2*s - 6*s = u - 6299984. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136816 and 2402328.\nAnswer: 81679152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -11*v + 27. Suppose -v*g + 5*z + 1 = 0, -5*z + 11 = 3*g - 0*z. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -190*v**3 - 10*v - 38. Let z(h) = 38*h**3 + 2*h + 7. Calculate 2*n(c) + 11*z(c).\nAnswer: 38*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 6. Let q(u) = u**2 - 8*u + 9. Let b be q(7). Let r = b - a. Let g(j) = -4*j**2 + 7*j - 2. Let x(w) = -w**2 + w. What is r*x(t) + g(t)?\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -1. Put 4, -5, b in decreasing order.\nAnswer: 4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -6*l - 33. Solve 6 = -l*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m**2 + 3*m - 2. Let k be c(2). Let u = -19 - k. What is the third derivative of 2*o**2 + 0*o**u - 14*o**2 - 3*o**5 + 14*o**5 wrt o?\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*o + 146*a*o**2 + 3031*o**2 with respect to a.\nAnswer: 8*a*o + 146*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 2*c + 4. Suppose 5*s = 4*u + 8, -2*u - 5*s - 3 = 1. Let n be (u\/5)\/((-2)\/10). What is the units digit of l(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694603.4 millimeters in kilometers?\nAnswer: 0.6946034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gttt when four letters picked without replacement from {t: 7, g: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 + 154.1814634?\nAnswer: 157.0814634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(12)\/sqrt(6) + -2.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11130103 (base 4) to base 10.\nAnswer: 22291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 31*w**2 - 9*w - 3. Let p(z) = -96*z**2 + 28*z + 9. Let b(v) = -19*g(v) - 6*p(v). Let i(d) = 27*d**2 - 7*d - 7. Give 14*b(j) + 6*i(j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 189*c**2 + 30*c - 204. Is z(38) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6153 + 8733. Let k = 148893\/20 + y. What is the common denominator of k and -79\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1290 and 774.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4135 + -4119. Suppose -4*t + 3*f = -19, 4*t + 1 = -5*f + 12. Solve -t*v - o = 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + 2*r)*(-5*r + 5*r - 2*r) + r**2 - r**2 - 2*r**2 + (-r + 5*r - r)*(0*r - 4*r + 5*r) - 3*r**2 + 2*r**2 - r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 51.3. What is the closest to 0.1 in -5, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 673678592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 1\/7, 0.3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 28960 - 101700 = 0. What are the prime factors of j?\nAnswer: 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 2*n - 9. Let o(b) = b - 2. Let a(j) = j**2 - 2*j + 3. Let l(s) = -2*a(s) - 5*o(s). Determine 4*k(q) + 9*l(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k - 8. Let o be c(1). Let s be (-5)\/(15\/6) + 5. Let j be (-2 - (-1 + -4))*(4 - s). Solve 0 = -h - o, -2*h = -j*p - 6*h - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14910451 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 484 - 1459. Suppose -3*w - 2*r + 40 = 0, -4*w + 4*r = -0*w - 40. Calculate the smallest common multiple of x\/(-30) + (-2)\/4 and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458259 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 194*b**2 + 90*b + 198. Give y(-2).\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 6*l. Let n(c) be the first derivative of -3*c**4\/2 - 13*c**2\/2 + 2113. Calculate -6*n(b) + 13*r(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15041317 is divided by 15041296.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126863*b + 39751*b + 41151*b + 37941*b)*(-2*b**4 + 2*b**4 + 2*b**4).\nAnswer: -16040*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668950834.\nAnswer: 2, 41, 439, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406143 is divided by 3406117?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4641600 (base 7) to base 4\nAnswer: -2032000233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 35052 + 70096 - 127*m**2 - 35044 - 2*m**3 in the form n*m**3 + k*m**2 + p + g*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 10. Let v be d(-8). Solve -2*w - 2*t = -12, 20 = w + 3*w + v*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.9, 110, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from loloolllloloooll.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1196 by 16655.\nAnswer: 1196\/16655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -385 + 565. Suppose l + 57 = 2*y, -5*y - 3*l - 2*l = -p. Let i(b) = -b + 4. What is the remainder when y is divided by i(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:58 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5272747 - 7709747. What is o rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofffofffffoffffffff. Give prob of sequence ofoo.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -452 + 451.99999622. Round f to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x + 3*s - 83 = 0, 21 = x + 5*s. Let h(j) = -2*j + 26. Let y be h(13). What is the units digit of (x - y) + -2 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Find s such that -o*s**3 - 2*s**3 + s**3 + s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 6*b**2 + 11*b - 6.\nAnswer: (b - 3)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.45 (b) -4.5 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9513388.\nAnswer: 2, 89, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-5))\/(2\/5). Let r(g) = -25 - 2*g**2 + 2*g + 12 + 12. Let v(f) = 3*f**2 - 4*f + 1. What is y*v(q) + 5*r(q)?\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)\/(h\/(h\/(h**(1\/5)\/h)))*(h\/(h*h**(-1)*h))**10)**(49\/2) assuming h is positive.\nAnswer: h**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j + 70*j - 285*j + 51*j + 54*j + 70*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose -o + 5*d - 5 = 13, 2*d - 18 = -5*o. Suppose 2*q - o = 2*x, -3 = k*x - 0*q - 3*q. Solve -2*z + x = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170800 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -k + 5*h - 82, h = -3*k - 281. Let m be (k\/69)\/(4\/(-6)*-3). Which is the third biggest value? (a) -4 (b) 5\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 13. Let u be j(-7). Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9368125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/56 - 0)\/((-2)\/(-14)). Let m(t) = t**3 - 5*t**2 - 29*t + 34. What is the hundreds digit of m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12) + (-130)\/(-468)*15 - (-14 - 25).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) -3\/4 (c) -0.006 (d) -5 (e) -2 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 5, -5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 + 17*l**2 + 17*l - 9. Let k(h) = 3*h**3 + 8*h**2 + 8*h - 4. Let d(b) = 13*k(b) - 6*w(b). What is the units digit of d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qga when three letters picked without replacement from aaqaaaaaaqaqaaaaagaa.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53972*o - 46985 wrt o?\nAnswer: 53972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23815 - 136858 = -73*m. List the prime factors of m.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 120220?\nAnswer: 120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + 9. Let g = -38 + a. Suppose -g = -3*j + 9. Calculate the highest common factor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(19) - sqrt(57)\/sqrt(3)) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2906*k - 876*k = 1833*k - 251*k + 429120 for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4423 + 4416. Which is smaller: y or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1653, 3076, 4461, 5802, 7093, 8328?\nAnswer: 9501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u**(-1\/33)\/u*u)\/u*u)\/u)*u)\/(u*u**(6\/5)) assuming u is positive.\nAnswer: u**(-28\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 53*a**2 - 124*a. Let n(w) = -w**3 - 18*w**2 - 41*w. Let x(c) = 8*n(c) - 3*y(c). Let o be x(-11). Solve o = -3*m - 5 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/112 - 4*o**7\/15 - 5*o**6\/2 - 277*o**5\/30 - 139*o**4\/8 - 55*o**3\/3 + 25*o**2 - o - 3. Suppose b(p) = 0. What is p?\nAnswer: -11, -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:55 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1239\/23 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43827736 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (73\/(-3) - -2)\/(100\/3900). Let u = -869 - g. Let r(q) = 12*q - 3. Calculate r(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 1297?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 6*x**2 + 2461. Let b(a) = 14*a**2 + 5*a. Determine y(b(s)).\nAnswer: 168*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txqpptpqxxxptpcx. Give prob of picking 1 x and 1 t.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = 26, -4*d = 2*y - 12606. List the prime factors of y.\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let g be 3 + -2 + 3\/3. Let p(d) = -2*d**2 + 0*d**2 + 3*d**g. What is v(p(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. What is the units digit of 117\/7 - h\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 16*s**2 - 934*s + 1. Let l(w) = 5*w**3 - 37*w**2 + 2181*w - 2. Calculate -7*l(x) - 16*v(x).\nAnswer: -3*x**3 + 3*x**2 - 323*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 11*b - 71. Suppose b*c - 6618 = 6787. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 + (-9 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by -6?\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41606186 * 4\nAnswer: 166424744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*j + 4, 3*c = -c + j + 13. Suppose 2*g - k - 12 = -0*k, c*g - k - 26 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/1477 + 1492\/7385. Find r such that -u*r**2 + 0 - 1\/5*r**3 + 0*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/5*(-20)\/(-70)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 3*j - 2*j, k = -j - 1. Solve k = -4*s - s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008321568 rounded to 4 decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 6*l**3 - 6*l**3 + (-1 + 2 + 1)*(6*l**3 - 2*l**3 - 2*l**3) in the form o + k*l**3 + u*l**2 + g*l and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30102288 + 3.546.\nAnswer: 30102291.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h - 1. Suppose 6*w - 25 = w. Let i be k(w). Suppose 28 - 16 = 4*g. Solve -2 = i*q + g*x, 0 = -q - 5*x - 12 + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29090673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 1b750?\nAnswer: 1b76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 - 232*i + 158*i + 187*i in the form q*i**2 + k + j*i + v*i**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (447\/6 - 4)\/3 and -14\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - 2*m**3 - 50 + 127*m**2 - 106*m**2 - 21*m. Let y be l(-22). Let q = y + 128. Calculate the greatest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a - 135. Let f be d(30). Suppose l - 263 + f = -3*c, l = c - 56. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 + 14*l - 41. Let h be b(7). Solve -s - 23 = -5*i, s + 3*s = -i - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(68) + sqrt(68) - sqrt(68)) + (sqrt(68) - sqrt(68)*6)*4 + sqrt(68))\/(sqrt(1296)*-3*3).\nAnswer: 13*sqrt(17)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19295796 rounded to 3 decimal places?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a year in months?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*u - 95 = 6*u, 2*i + 5*u - 216 = 0. Let f = -96 + i. Suppose 3*m + 190 = f*m - 3*k, -2*k + 53 = m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 11*r - 1. Let c(w) = 21*w**2 - 33*w + 2. Determine -3*c(n) - 8*h(n).\nAnswer: -7*n**2 + 11*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let l(p) = 6 - 2*p - 4 - k*p. Let d(h) = 2*h + 2. Let a(u) = -u - 2. Let z(j) = 5*a(j) + 4*d(j). Determine 2*l(c) + 3*z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2)\/4)*12\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3925*c**5*j + 1484*c**2 + 2*j wrt c?\nAnswer: -235500*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17560 is divided by 548?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*k + 194 = 4, -h = 4*k + 61. Let w be (-1)\/((-9)\/2) + 31668\/378. Let l = h + w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -196093?\nAnswer: 196098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*k**3 - 48*k**2 + 48*k**2.\nAnswer: -450*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -3 in descending order.\nAnswer: 10, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 8*i**2 + 2. Let t be y(-2). Let b = 37 - t. Suppose 4*h + 12 = 0, -b*p - 3*h - h - 6 = 0. Is 18\/7 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 830 and 16102?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m*m*m*m\/(m*(m\/(m\/m**(-1\/2)))\/m))\/(m**(1\/3)\/m)**(-11))**(-21\/5) assuming m is positive.\nAnswer: m**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1675 + -1737. Put 3, s, 4 in increasing order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p - 11. Let i(n) = n - 2 + n + 3*n - 4*n. Let y(o) = -11*i(o) + 2*l(o). Let s(z) = -2*z**2. What is y(s(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = -4*u. Let q(l) = l + 14832 - 14832. Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.7 - 51. Let u = -1.8 - -0.3. Let w = u + 1. What is the third biggest value in i, 0.4, w, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 3. Suppose -162 = -5*c - z. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287156435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148527 by -16503.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/15 of a week?\nAnswer: 18816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 3*i**2 + 16*i + 13. What is the remainder when g(-6) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/(sqrt(12)\/sqrt(4)) - (3 + sqrt(19) + sqrt(76))) + ((sqrt(152) - (sqrt(152) - sqrt(152)*-2))\/sqrt(8) + sqrt(19) - -6*sqrt(171)))**2 + 5.\nAnswer: -90*sqrt(19) + 4289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 62*w - 64. Suppose 390 + 4170 = -152*l. Determine n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:08 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1 + 0*t - 6*t + 5*t. Let p be o(2). Let b(z) = z**3 + 2*z**2 - z - 1. Calculate b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 239? (a) -5 (b) -2 (c) 0.24 (d) 196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = -5*d + 5342, 0 = 4*j + 12. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1237427\/55717410 + -56\/19605. Calculate the common denominator of u and -41\/84.\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/1200 and 197\/222894000.\nAnswer: 222894000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004870830435 to 7 dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 16*i + 190. Let x(t) = -25*t - 283. What is -8*a(h) - 5*x(h)?\nAnswer: -3*h - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and -17.8074038.\nAnswer: -17.8474038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14336 and 86688.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 15) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 3*z - 3*z. Let f(j) = -7*j. Let y be (-92)\/(-15) - 16\/120. What is y*f(k) - 11*t(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/15)\/m)\/m**(-2\/9) assuming m is positive.\nAnswer: m**(-38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/143700 and -167\/1839360.\nAnswer: 9196800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**3 + 46*l**2 - 6*l - 37. Let y(p) = 8*p**3 - 48*p**2 + 8*p + 36. Let m(f) = -4*o(f) - 3*y(f). Let u(j) = j**2 - 1. Calculate -4*m(d) - 160*u(d).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20015 - 7*m - 19628 + 5*m + (-5*m + m + 2*m)*(2 + 2 - 2).\nAnswer: -6*m + 387","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-11) - 16\/66. Which is the third biggest value? (a) -1\/2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*g - g**2 - 31 + 0*g**2 - 39 + 174*g + 68 to k*g + r*g**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -12289, 3, 2\/9, 51 in decreasing order.\nAnswer: 51, 3, 2\/5, 2\/9, -12289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(1792)*1)**2*4 + (-2*2*sqrt(1792) - (sqrt(1792)*-1 + 5)))*3.\nAnswer: -430005 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 614003, 0.1, 4 in ascending order.\nAnswer: 0.1, 4, 614003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16, 0 = 2*r - 2*q + q - 8. Let j = -7 - -5. Let h = -0.04 + 0.44. Put j, r, h in descending order.\nAnswer: r, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034 - 1049 = -5*p - z, 2*z = 2*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 613996425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*m**2 + 2*k**3*m - 92*k**3*q - 4*k**2*m**2*q - 2*k**2*m**2 + k**2*q + 203*m wrt k.\nAnswer: 12*m**2 + 12*m - 552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7739353 or -7739347?\nAnswer: -7739347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 39. Let t = p + 39. Suppose -t*f + 2*f = -44. What is the remainder when 25 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 50*w**2 + 19*w + 5. What is y(-2)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/25, 8, 4?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/18*(-4)\/10. Let q be 20\/(-14) - (-1 - 1). What is the third smallest value in q, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*l = 21, 130*s = 69*s + 56*s - 5*l + 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p = -81*p - 18. Sort -5, -1, 2, p in descending order.\nAnswer: p, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let q(c) = -18*c**2 - c. Determine d(q(p)).\nAnswer: -54*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*l**5 + 736*l**4 - 1908*l**3 + 1112*l**2 - 64*l = 0 for l.\nAnswer: -8, 0, 2\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153334325?\nAnswer: 5, 6133373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 + 20*c - 43. Suppose 0 = -0*z - 3*z - 54. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5497*j - 27500. What is m(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 + 33*l**2 + 19*l - 24. Let y be q(-10). Let a(j) = j**3 - 6*j**2 - j + 1. Let g be a(5). Let p = y + g. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/3))**16*m\/m**(-16)*m**(-2))**(-47) assuming m is positive.\nAnswer: m**(-5123\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - y = 87, 0 = 4*u - 6*y + y - 127. Let b = u - -124. What is the common denominator of (2*-11)\/(b\/28 - 2) and -31\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and -1*(-16)\/28*(5 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 37. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.836 * -55\nAnswer: 595.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 9. Let u(d) = -34*d + 62. Let i(t) = -20*b(t) - 3*u(t). Let a be (4\/(-6))\/((-4)\/24). Determine i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(((p\/((p**(-7)*p)\/p))\/p)\/p*p)\/p*p*(p**(1\/5)*p*p)\/p)\/(p\/(p**(-1)\/p))**(2\/71) assuming p is positive.\nAnswer: p**(3946\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 2\/125, 0.4, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) 5 (c) 2\/17 (d) 0.08 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43647 - 65257. Let j = 18304 - 30714. Let d = j - h. What is d rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 53003\/(-5016) + (-13)\/39. Let c = 1\/8360 + u. Find the common denominator of 2\/(-6)*249\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - 3*b)*(-3*b + 4*b + 0*b) + 2*b**2 - 4 + 4 + 2*b - 5*b**2 - 2*b - 541*b - b**2 - 6 + 536*b - 36.\nAnswer: -5*b**2 - 5*b - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 1440909922.\nAnswer: 1440909922.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(19\/19)\/(2\/1). Let v be ((-9)\/6 - -2)*(9 - r). Suppose 4 = 2*k, 3*k + k = 4*g - 4. Put g, -20, v in decreasing order.\nAnswer: v, g, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*i**2*y**3 - 44*i**2*y**2 + 719*y**3 wrt i?\nAnswer: 38*i*y**3 - 88*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19306*f**2 - 8114.\nAnswer: 38612*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*q + 6 = 0, 2*u - 5*q = -15 - 27. Which is the nearest to u? (a) 3\/4 (b) 0 (c) -5 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = 4*i - i, -4*f - 2*i = -6. Suppose 0 = -5*s - 2*b, -2*s - 2*b + 5*b = -19. Factor -p**3 - s*p**2 + 8*p**3 + f*p**3 - 15*p**3.\nAnswer: -2*p**2*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5922?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k**5\/11 + 74716*k**4\/11 + 39494*k**3\/11 - 114244*k**2\/11 = 0. Calculate k.\nAnswer: -2197, -26\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 21*h**2 + 70*h + 38. Let f be m(-17). Solve 0 = f*x - 28 + 48 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107800140 divided by -2\nAnswer: -53900070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 7*v + 2. Let i be t(7). Suppose -186 = -i*k + 2*r + 872, 5*k - 2635 = -5*r. What is the greatest common factor of 66 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3449*x - 8234*x - 125198 = 50047 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-43496.\nAnswer: -21748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, u: 4, r: 1, d: 10}. What is prob of sequence dduu?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17417*s**4 + 3 - 34888*s**4 + 17444*s**4 + s**2 - 4*s as a*s**2 + c*s**4 + t*s + o + x*s**3 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -8*f**2 - 2*f**3 - 154*f + 1\/10*f**5 + 0 + 1\/2*f**4. Factor k(m).\nAnswer: 2*(m - 2)*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -72*m**2 - 282*m + 25. What is y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20848 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**18*f**(10\/11))\/(f**(9\/2)\/f*f\/(f\/f**(18\/7))) assuming f is positive.\nAnswer: f**(-3413\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4 - 3*m**3 - 2*m**3 + 7*m**3 - 3*m**3 - 2*m**2. Let k(b) = b - 3. Let o be k(0). Does 13 divide w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 + 32493*d\/2.\nAnswer: 3*d*(d + 10831)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 26 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 + 6*r**2 - 2*r + 2. Let m(y) = 14*y**3 - 17*y**2 + 5*y - 6. Let a be (-5 + 4)*(-3 + 20). Determine a*w(o) - 6*m(o).\nAnswer: o**3 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**5 - 5*m**5 - 2*m**5 + 3*m**5 + 2*m**5 - 4*m**5 + (-m**5 - 2*m**5 + 4*m**5)*(-1 - 1 + 0).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/465028 and 65\/112?\nAnswer: 13020784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let z = l - 4. Let b be z - (-20)\/9 - 2. What is the closest to -1 in b, 2, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = 0, -5*m - 7 = 2*l - 32. Let h(a) = -a**2 - 5*a. Let s be h(-4). Find the second derivative of 3*o**5 - o - s*o - o**l wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -2\/11, -0.5, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2673 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1430, 0, 1 in ascending order.\nAnswer: -1430, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -229*m**2 - 394. Let y(k) = 912*k**2 + 1575. Let l(v) = 22*a(v) + 6*y(v). Find the first derivative of l(d) wrt d.\nAnswer: 868*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 45*s**3 + 115*s**2 + 15*s - 180 = 0 for s.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 5*i**3\/6 - i**2 - 6*i. Suppose 4*y - 15 = 1. Is g(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-2)*2878\/6. Let r = t - -17201\/6. What is the common denominator of r and 371\/504*24 - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g + 4. Let v be x(-7). Suppose -2*m + 2*s + v = 3*s, -4*m - s = -21. Let k(t) = 21*t**2 + 2*t - 12. Is k(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((297\/(-176))\/(-3))\/(33390\/(-2544))?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005 divided by -13.\nAnswer: -1005\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 - 259\/2. Let t = -5.84 - 0.16. Sort t, w, 0, -2 in decreasing order.\nAnswer: 0, w, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 56*z - 37. Let s(h) = h**2 - 31*h - 18. Let n(o) = -3*i(o) + 5*s(o). Let c be n(-2). Solve -2*a - q + 0*q = -c, q + 6 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 106*v - 202*v + 3576 = 6*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 286. Let p(t) = -49*t + 13*t + 10*t + 14*t + 10*t. Give u(p(m)).\nAnswer: -6*m + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1161*z**5 - z**3 - 4*z**2 - 132*z.\nAnswer: 69660*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44109523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 8 + 2. Differentiate -d - 2*p**2 + 6*p**2 + 0*p**2 - 1 with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/102 - 2\/(-2). Suppose 14*q = 21*q + 336. Let i be (-12)\/(-20) + q\/80. Is i less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67171541323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 49. Calculate the remainder when 74 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.04. Let i = -0.98 - u. Which is greater: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 s when three letters picked without replacement from brbsefebbesbbebb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-9)\/k**(-1\/8)*k**(4\/11)\/k**9 assuming k is positive.\nAnswer: k**(-1541\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 60 - 8) + -21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/60 - s**4\/12 + s**3\/3 - 8*s**2. Let p(w) = w - 1. What is -3*a(f) - 6*p(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 + 165 + -10 + 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 - 330 = -50*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81279668 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1792 and -19\/6.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18 - 6*d**2 - 11*d + 0*d**2 + 5*d**2. What is the smallest common multiple of 18 and x(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-340)\/(-6)*(-330)\/(-25). Suppose 4*p + 8 + i = 0. Let d = p + 942\/5. Which is the closest to -1? (a) 0.4 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -587.75 + 529.74952. Let o = c - -58. Round o to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13829 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10677*w**3*z - w**3 + w**2*z + 5*w*z + 3*w - 11*z + 14 wrt w.\nAnswer: -64062*w*z - 6*w + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 - 27 = x. Let f(k) = 55 - x + k + 50. Let b(r) = -11*r**2 - 6*r. Let u(v) = 45*v**2 + 25*v. Let s(i) = 25*b(i) + 6*u(i). Give f(s(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143\/4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 2. What is the remainder when 31 is divided by u(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67892789 or -67892790?\nAnswer: -67892790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.35294 + 0.356. What is j rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567128633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613800, 3227608, 4841416?\nAnswer: 6455224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 33, -5 in decreasing order.\nAnswer: 33, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4818760 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + 3))**2 + -1.\nAnswer: 648*sqrt(13) + 4535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**2 - 5\/6*f**4 + 129*f + 0 + 0*f**3. Let l(g) = 15*g**2. Determine y(l(v)).\nAnswer: -2250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -505324 divided by -1\nAnswer: 505324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 727865*t**2*z + t**2 + 175401272*t + 20*z wrt z.\nAnswer: 727865*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 816943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -17 (c) -1410 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b + 4. Suppose -4*z + 3*c = -34 - 8, 0 = 5*c + 10. Let u(g) = -2*g**2 - 6*g - 8. What is z*r(s) + 4*u(s)?\nAnswer: s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 36, 2\/3, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from rrrwxxxwsdfr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*v - 0*s - 13, 2*s + 7 = 3*v. Let w(g) = g**2 - 5*g + 9. Let f be w(v). Solve 2*h = 3*y - 23, -7*h - 31 = -f*h - 3*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -275.2 and 1687.2?\nAnswer: -464317.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4449*a**2 + a**4 + 4453*a**2 - 8893*a**2 + a**3 + 0*a**3 - 112*a - 3*a**4 in the form v + y*a**2 + w*a**3 + i*a**4 + j*a and give j.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5712405 millilitres to litres.\nAnswer: 0.0005712405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 82 = -2*o. Suppose 4*p - 31 = o. What is the greatest common divisor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47510 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c + 181 = -534 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16523884, -16523886, -16523888, -16523890, -16523892?\nAnswer: -16523894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293862 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.2673ml to litres.\nAnswer: 0.8122673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0)**33)**(-2\/47))**(-28) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 2*v + 4*v. Suppose j + 3*j + 2*j = v. Let t(r) = r**2 - 3*r + 415. Is t(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12*q - 38304 + 38542 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-52)\/(-40)) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119681, 119704, 119727, 119750?\nAnswer: 119773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28183 is divided by 1166?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47897 = 28*d - 67435. What are the prime factors of d?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*q + 19 = 0, 6*q + 34 = g + 4*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-4420)\/2209) + (-10 - -2 - -4). Is 0 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 72 = j + j, -2*v + 168 = 2*j. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889, -1775, -2655, -3529, -4397, -5259, -6115?\nAnswer: -6965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/4 + (-45)\/60. Let q = -59 - -185\/3. Which is the second biggest value? (a) q (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3419*x**2 - 1 - 9 - 211*x**2.\nAnswer: -3630*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -25. Suppose 0 = -2*s - 2*x + o, 7 + 16 = 3*s + x. Find the second derivative of -u**3 - 7 - 3*u**3 + s + 3*u wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135658938*j**3 - 2*j**2 - 1380*j - 3445.\nAnswer: 813953628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by -3.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 4\/7*q**3 + 56 + 3\/28*q**4 - 33\/14*q**2 - 90\/7*q. Factor h(n).\nAnswer: 3*(n - 3)*(n + 2)*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*m - 5. Suppose -4*u + u = -24. What is the first derivative of -3*o**m + 2 + 2*o**2 + 2 - u wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**8\/336 + 19*u**5\/15 - u**4\/12 - 7*u**3\/3 - 957*u**2. What is the second derivative of o(w) wrt w?\nAnswer: -20*w**3 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 44*o + 474. Give h(-8).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - d = -2 - 7, i = 4*d - 8. Let y = 19 - 18. Put i, y, 0.5 in descending order.\nAnswer: y, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 60\/17, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 438\/(-105))\/(2\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -48. Let c(y) = -y**3 - 34*y**2 - 33*y + 16. Suppose 0 = -d - 3*q - 33, 4 = -2*d + q - 62. What is the least common multiple of u and c(d)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923750338.\nAnswer: 2, 7, 31, 43, 49499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-6)\/(-2) - 3. What is the tens digit of (-2 - 0)*13\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.96 + -0.72. What is d rounded to 1 dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -6*h**5 + 3*h**2 - 29 + 77*h**4 - h - 77*h**4. Find the second derivative of j(m) wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64b - -573?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 42 = -3*g. Let f be ((-3)\/(-12) + g\/12)*4. Solve -f*h - 4 = -13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*y - 1 - 4 + 4)*((1 + 2 - 1)*(-2 - 3 + 1) + 1 + 2 - 1).\nAnswer: -234*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p - p)*(0*p**3 + 0*p**3 - 2*p**3 + (2*p**3 + 3*p**2 - 3*p**2)*(2 - 6 + 2) - 7 - 4*p**3 + 7) as j*p**3 + b*p**4 + l*p**2 + c*p + q and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:59 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (342\/45)\/(-19)*-5 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let a(g) = 2407*g**2. Calculate u(a(o)).\nAnswer: 11587298*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 1084*m**2 - 4288*m + 4272 = 0. Calculate m.\nAnswer: 2, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1 + 2 - -2. Suppose 5*z + m*z = 110. Calculate the remainder when 65 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8 - 5) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(-3 + 2 - 1)*(5 + 8 - 5)*(-3 + o + 3).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3194 = -h - 259, -4*u + 4 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789910969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49534?\nAnswer: 2, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -54259, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -25*c + 29*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**2 - 12*p**2 + 12*p**2)*(9*p**2 + 2*p**2 + 3*p**2).\nAnswer: 224*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 10*z - 12. Suppose z*a - 234 = -5*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, -50, 13, 41, -2\/7 in decreasing order.\nAnswer: 41, 13, 0.4, 0, -2\/7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, -6\/7, 1 in increasing order.\nAnswer: -6\/7, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 6*j + 5. Let c(i) = -4*i**2 - 5*i + 4. Let h = 2 + 0. Suppose h*t - s = 3*t - 9, -3*t + 35 = 5*s. Give t*r(o) - 6*c(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 38.4 (b) 539\/5 (c) -2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 4*o**3\/3 - 22*o**2 + 39*o - 101. What are the prime factors of m(19)?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33558 is divided by 958?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -124 + 3 + 3 + 30 + -1 + -30 + 12\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) 38088 (c) -119\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {w: 2, l: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28954 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61573740?\nAnswer: 2, 3, 5, 1026229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let y = l + 2. Let g = 0.000024 - y. What is g rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.822 times -5\nAnswer: -114.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*y + 50 = -385*y. Let q(j) = 4*j - 12. Let a(d) = 6*d - 18. Let z(x) = 5*a(x) - 8*q(x). Determine z(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 34. What is o(17)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**9\/3780 - n**5\/24 - n**4\/4 - 5*n**2. Let b(v) be the second derivative of r(v). What is the derivative of b(p) wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/63 + (-111)\/(-27). Let l be (-12)\/(-8) - x - -1. Let r = 33 + -28. Which is the nearest to -1? (a) l (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - 2*b + 22, 0 = -w - 4*b. What is the smallest value in 10, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-48)*((-4)\/2*2)\/2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 78*z - 76*z. What is the highest common factor of 30 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137216759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201446601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-2 - -3 - -1). Suppose 3*b + 14 = i, 4*i + 11 = 5*b + 39. Let j(r) = r**2 + 4*r + 9. Let d be j(b). Sort t, -4, 3, d in increasing order.\nAnswer: -4, 3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(396) + -4 + -1*sqrt(396) + -2 + 0 + 0)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 8*o - 9*o + 20 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41205?\nAnswer: 3, 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -36501414?\nAnswer: 5\/36501414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*g*r + c**3*g + 19036*c**3*r**2 + 32*c**2 + 21*c*g*r**2 - 2*g wrt c?\nAnswer: 12*g*r + 6*g + 114216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10096 - 4?\nAnswer: 10092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*w + 3*w - 25, -4*k = -5*w - 15. Let n be (8\/k)\/((-2)\/(-5)). Suppose 4*t - 31 = -o, n*t = -3*o - o + 16. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-1)\/2). Suppose 0 = -l + t + 2. Suppose 0 = -l*b + n + 98, n - 2 = 2. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5 + 2 - x + 0. Let p(n) = 5*n + 3. Let j(g) = 4*g + 2. Let o(t) = 7*j(t) - 6*p(t). Let u(w) = 4*a(w) - 3*o(w). Let y(k) = k**2. Give u(y(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a + 6*o - o, 5*a + 4*o - 6 = 0. Let n(d) = 4*d - 3. Let y be n(a). Let c = 200 + -196. Solve -c*k = -5*w - 17, -5*w + 2*w + 12 = y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 248.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 399*d**3 + 2*d**2 - d - 1. Let o be s(1). Let i = 398 - o. Which is smaller: -14\/25 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24077947?\nAnswer: 41, 587267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 382.5481 millilitres?\nAnswer: 0.3825481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7644)\/56)\/(-13)*(-8)\/14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = -5*o, 4*o - 18 - 7 = -5*n. Let l = 0 + o. Suppose l*u - 119 = -14. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c - 7. Suppose 0*z - 5*z = -10. Let y = -749 + 760. Suppose -3 = -z*n + y. Let r(d) = -5*d + 6. Calculate n*r(k) + 6*a(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) - (sqrt(44) + sqrt(44)*-1))*1 - sqrt(44))\/sqrt(4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4741490 to the nearest 10000.\nAnswer: -4740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i - 2045. Let b be i\/(-15) + (-2)\/(-3). Let a = b + 27. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-12 - (-16 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880831?\nAnswer: 7, 23, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.7, 0.76, -3\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/17 + 20*i**4\/17 - 10*i**3 + 20*i**2 - 192*i\/17 = 0.\nAnswer: -16, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1034476 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2237605*-0.01.\nAnswer: -22376.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/10*4 + (-26)\/(-65). Which is smaller: 29 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + 21*k to the form m*k + b and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82755, 83013, 83271, 83529, 83787, 84045?\nAnswer: 84303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977959138.\nAnswer: 2, 13, 283, 132911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5294068 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1)\/(0 + 1). Let l(k) = 34*k**2 - 7*k - 8. Is l(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25460824 = 4*k, 5*k + 8248338 = -3*o - 23577665. Suppose -a + 949556 = -8815647. Let u = k + a. Round u to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.882 - -1.182. Which is the fourth biggest value? (a) 2 (b) 0.5 (c) 4 (d) -202 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 10:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.052 + -52. Let x = p + 0.148. What is the nearest to 2\/13 in x, 0.3, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -1072585.89?\nAnswer: 1072586.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2505 divide 184580925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-330)*(153 + -147)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*k**2*o**2*p**3 - k**2*p - 2*k*o**2*p**3 + 7*k*o*p**2 + 2*k*p**2 - 2*o**2 wrt p.\nAnswer: -66*k**2*o**2 - 12*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 40. Suppose -26*z - j = -29*z. Suppose z*u = u. Solve 2*p - 18 = 4*o, -2*p + u*o + 5*o = -21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46517421*y**2 - 8*y + 1539683?\nAnswer: -93034842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002410782 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64477.14 months in decades?\nAnswer: 537.3095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12740 - 3?\nAnswer: -12743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 593 - 597. Let c be (3\/5)\/(8\/40). Are c and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 68425*a - 1298270 = 0.\nAnswer: 19, 13666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - f**2 - 17*f - 2. Let u(d) = -d**3 + d**2 + 9*d + 1. Suppose -19*j = -24*j + 30. Let x(b) = j*n(b) + 11*u(b). Calculate x(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3)*(-9)\/3. Let b be (196 - f)*2\/4. Let t(g) = -g + 8. Let o be t(-3). Calculate the greatest common factor of b and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142 or 3.455?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*y + 6762275 = 2067645. What is the ten thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/10*138\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -119, 0.3, 92\/27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 12, -8*i - 2*a + 20377 = 40887 - 20430 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 87212*s - 1046256.\nAnswer: -2*(s + 12)*(s + 43594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/7 - 11\/35. Let t = -186432 + 186431.7. What is the nearest to 1\/4 in t, c, 2\/3, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -163 + 845*o + 163 - 848*o. Let j(t) = -10*t. Determine 21*b(p) - 6*j(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51879161 is divided by 95718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 1 + 1 = -17*j. Solve 0 = -2*q + 3*h - 15, q + 4*h - 20 + 0 = j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138 + 161*d**4 + 225 - 613*d**4 - 64*d**4 - 44 with respect to d.\nAnswer: -2064*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86.4892 and -4.3445.\nAnswer: -90.8337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 24532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2 + 12*y + 12 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, 0 = 3*n - 3*q + 8*q - 55. Let k(y) = y - 1. Let z(g) = g - 6. Let p(t) = k(t) + z(t). What are the prime factors of p(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 8\/967 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1616041, 1616054, 1616075, 1616104?\n\"Answer: 4*h**2 + h + 1616036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 16 + 2 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 2 - 2 + 2)*(11 - 11 - 2*m) in the form j*m**2 + c*m + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-8) + 1012\/(-368). Let n(l) = 1 - 3 - 2. Let r(w) = -w**2 + 5. Determine g*r(z) - 5*n(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 + 29 = 36*w. Let x be 5 + 30\/(-6) + (-1 - -3). Solve 0 = -3*s - x*s - w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212\/59 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -234*f**3*t + 8884567*f**3 - 9*f**2*t - 716*t wrt t?\nAnswer: -234*f**3 - 9*f**2 - 716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-5915\nAnswer: -473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.23, -0.1, -3, 0.6, -3\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-1*-4)\/(sqrt(8) + -5*-2*sqrt(8)) + 2)**2.\nAnswer: -12*sqrt(19)\/11 + 655\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 16, 0, 2, 603 in decreasing order.\nAnswer: 603, 16, 9, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + 2*l**2)*(2 - 2 - 4*l) + (1 - 1 - l)*(-2*l**2 + 5 - 5).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 + -0.61. Which is the closest to -2\/3? (a) -3\/7 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 131. Suppose p = 5*j + 11. Let x be (-2)\/11 + j\/22. Solve x = 3*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(68)\/(-1*sqrt(4)*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 3*(sqrt(12)\/sqrt(6) + sqrt(2)) - (sqrt(50) + 1).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 2. Solve 3*s - 8 = x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2. Let t(b) = -298528*b**2. What is i(t(q))?\nAnswer: -534713800704*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + 10340?\nAnswer: 10420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157797713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-33)\/6) + 7 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21546\/(-154))\/9 + 15?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.842117 rounded to 1 decimal place?\nAnswer: 101.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -2.03, 17, -0.7?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556563?\nAnswer: 3, 7, 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 853268*j**2\/5 - 36403655296*j - 728059453696\/5 = 0. What is j?\nAnswer: -426632, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -1\/12*n**4 + 0 + 5\/2*n**2 - 16*n - 5\/6*n**3. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 + 25*f**2 + 28*f - 6119.\nAnswer: 3*f**2 + 50*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 - 2 - 0). What is the second derivative of -47*d + 12*d**2 - 12*d**2 - 36*d + 125*d**j wrt d?\nAnswer: 1500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + 0. Let f = -2180\/11 - -2181\/11. Put -2\/3, f, a in ascending order.\nAnswer: -2\/3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 78. Let l = f + 24. Solve -6*p + 4*p + l = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 u when three letters picked without replacement from {v: 8, z: 8, w: 1, u: 1, f: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 628956642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99201826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4461, 4468, 4485, 4518, 4573, 4656, 4773, 4930?\n\"Answer: d**3 - d**2 + 3*d + 4458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a**2 - 1030*a**3 + a - 661*a**3 + 1690*a**3 + 47 as g + b*a**3 + k*a + i*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22051*j = 22059*j - 57096. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -26087683.\nAnswer: 26087690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = z, -3*j - 4*z = z - 35. Calculate the least common multiple of 25\/10*36\/j and (-1)\/((4\/44)\/(-1)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031.3 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2*v**3 - 4*v**2)*(4 - 5 + 3) - 2*v**3 + 3 - 3 + (-2 - 2*v + 2)*(-3*v**2 - 3*v**2 + 4*v**2) + 2*v**3 + 2*v**3 - 5*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from {r: 2, x: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/(-28)*(-8)\/(-6). What is the second derivative of 4*t**5 + 20*t - 9*t - x*t**5 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1906*h + 1223*h - 7220*h in the form n*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let v(y) = 40*y - 3. Determine 2*k(r) - v(r).\nAnswer: -38*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22536 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*g - 12 - 2*g**2 - 53*g)*(-3*g - 2 + 2).\nAnswer: 6*g**3 + 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n + 1. Suppose -i + 0 = -3. Let p be f(i). Suppose 2*s - 5 = p*s - 3*b, 0 = -s + 5*b - 23. Solve -2*a - 8 = s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -125*i**2\/2 + 239*i + 175. Let w be y(2). Suppose -18 = -5*f + 7*f. Is f at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-90)*-42 - 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4) + 52\/16. Find the third derivative of 4 - 10*f**2 + 1782*f + 7*f**v - 1782*f wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 11. Let n(w) = -2*w**2 - 5*w - 10. Let j(p) = -p**2 - 2*p - 4. Let x(z) = 5*j(z) - 2*n(z). Determine q(x(s)).\nAnswer: -s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 2*o**3 - 11*o**2 - 19 + 0*o**3 + 2 - 6*o. Let s(i) = 4*i**2 + 2*i + 6. Calculate -4*k(m) - 11*s(m).\nAnswer: 4*m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12138 divided by 6\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(2954\/(-49) + -4). Calculate the common denominator of ((-30)\/c)\/((-6)\/(-425)) and -43\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1536 - 3?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 9965421162.85?\nAnswer: -9965421162.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 - (5 - 3 - 3). Suppose 0*v - 2640 = -t*v. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*z + 89*z + 29 - 159 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*(-825)\/22. Let j be (60\/m)\/(6\/20). Solve -4*r = -0*r + 3*z + 16, 4*r = -j*z - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(171)*-1 - sqrt(171)) + -2)**2 - ((sqrt(19) + -2*sqrt(19))*-4 + (5*sqrt(38)\/sqrt(2) - sqrt(19)))**2.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 81*r**2 - 35*r - 9. Is u(82) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.181126 and -0.2.\nAnswer: -0.018874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11. Let c = 14 + n. Let s = c - 15.0068. What is s rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7298 is divided by 1898?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 61*m**6\/10 - 54*m**2 + 49*m - 1. Differentiate y(u) wrt u.\nAnswer: 732*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 + o. Let t be q(5). Suppose 2*f = -25*b + 27*b - 576, f + 3*b + 300 = 0. Let r = t - f. Round r to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/25*(0 + -1). What is the biggest value in v, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 divided by 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -99, -110, -125, -144?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91.7 + -92. What is the second smallest value in -3, 8, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.2, -25, 5, 0 in increasing order.\nAnswer: -25, -0.2, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 68300*t**3 + 1433194*t**2 + 7645496*t - 20477400 = 0.\nAnswer: -6, 2, 25, 34129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 9*k + 13. Calculate f(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.742 minus -2?\nAnswer: 34.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446462579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/60 - 5*m**4\/2 - 212*m**3\/3 + 562*m**2. Differentiate i(b) with respect to b.\nAnswer: -6*b**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 - 8 = 0. Suppose 3*a - 19 = 4*f - 2*f, 0 = -u*a - 3*f - 6. Suppose -10 = -4*n + a*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {a: 1, p: 6, e: 10}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 6. Let k be c(5). Let h be ((-16)\/(-12) - k)*30. What is the closest to -0.1 in h, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 - 7*c**4 + 12*c**4 - 3*c**2 + (c**4 - c**4 + c**4)*(2 + 2 - 2).\nAnswer: 4*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8083.\nAnswer: 1\/8083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101100120 - -101221?\nAnswer: -1100221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f*(f**(-1\/20)\/f)\/f)\/(((f\/(f**8*f))\/f*f)\/(f**(1\/3)*f)) assuming f is positive.\nAnswer: f**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4109? (a) -5 (b) -2\/17 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 8 + 8 - g as b + w*g and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/77 and 29\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17\/3)\/c*c**22\/c assuming c is positive.\nAnswer: c**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let h(k) be the second derivative of -k**5\/60 - k**2 - k. Let s(a) be the first derivative of h(a). What is s(m(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767547.7 litres to millilitres.\nAnswer: 767547700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 299 = -d, 2*d = -u - 2*d + 86. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(60\/(-4))\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 2870743*w**2\/5 + 2870738*w.\nAnswer: w*(w - 2870738)*(w - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 0)*(-2)\/3. Let i be (-2)\/(1*u + 1). Suppose i*s - 10 = -2*t, 0 = 4*s + 3*t + 1 - 19. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63222683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48164634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 13*w = 76. Let q(g) = -6*g - 946*g**2 + 2 + 949*g**2 + w. Let z(n) = n - 6. Let s be z(7). Let v(k) = k - 1. Give s*q(m) + 6*v(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/105*-5 - 1424\/(-14). Let q = u + -84. Calculate the remainder when 86 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -100. Let h = 53 + c. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91567987?\nAnswer: 7, 179, 73079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 120*t - 149. Let i(v) = 2*v**3 - 11*v**2 + 6*v + 3. Let m be i(5). What is the units digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064*7.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*o = -118 + 114, 3*f = -4*o + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (8 - (95 - 40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/30 + 5*o**4\/24 + o**3\/3 + 4*o**2. Let q be n(-4). Is 1082\/q - 4\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 25*f - 7. Let u(x) = 2*x**2 - 13*x - 4. What is -4*j(a) + 7*u(a)?\nAnswer: -2*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2674)\/9 - (-35)\/315. Let h = r - -1483\/5. Which is the second biggest value? (a) -0.9 (b) 12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*p. Suppose p = -11*f + 10*f. Let z(j) = 4*j**2 + j + 1. Let h be z(f). Solve -4*u - 2*r + 6*r + 28 = 0, -13 = -u + h*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1, 17, 23, 12.\nAnswer: -32, -1, 12, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5844908*v**2 + 5844908*v**2 - 65*v**3 - 3*v.\nAnswer: -65*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 3*v + 3*v)*(4*v + 2*v - 2*v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 399571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 7384783, 3 in increasing order.\nAnswer: -3, -0.5, 3, 7384783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -120*g**2. Let n(o) = 1459*o**2 - 1458*o**2 - 4*o + 4*o. What is w(n(j))?\nAnswer: -120*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 - 47*j**4 + 312*j**3 - 664*j**2 + 256*j + 336 = 0.\nAnswer: -1\/2, 2, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 3, 22158 in decreasing order.\nAnswer: 22158, 5, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5681467078?\nAnswer: 2, 7, 405819077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00609271783 rounded to five dps?\nAnswer: -0.00609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-2)\/(-4))\/1). Suppose 3 = s*w - 5. Suppose 232 = -w*k - 2*p, -4*k + 3*p - 237 = 5. Is k != -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472039993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose -2*x + 2*n + 18 = 3*x, 2*x - 11 = -b*n. Solve -2*u = -x*i + 2*u - 24, 5*i = u - 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 6796249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 12*n**2 + 16.\nAnswer: 4*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2595 - -2592. Which is the biggest value? (a) -11\/2 (b) -1\/6 (c) 0.1 (d) i (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 11*m + 102. Let h(q) be the first derivative of -q**4\/4 - 5*q**3 - 15*q + 1. Is h(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/6 + 5*g**3\/6 + 5*g**2 - 1. What is q(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.123, 5, 109687?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12666, -25310, -37944, -50568, -63182?\n\"Answer: 5*r**2 - 12659*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 5.\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(1*sqrt(512) + sqrt(512) - sqrt(512)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -9*h + 276. Let v = 196 + h. Calculate the smallest common multiple of 14 and v.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd - 5?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 134 in 7, 5, 0.2, -2, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54 - -0.5. Let h = 1.04 + c. Let k = 1 + -1. What is the second smallest value in k, h, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 8. Let b(j) = -728*j**2 + j + 94. Give r(b(t)).\nAnswer: 3640*t**2 - 5*t - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*2*3. Let v(o) = o**3 - 2*o + 2. Let p(u) = -21*u - 3. Let a(j) = -16*j - 2. Let k(s) = 4*a(s) - 3*p(s). Calculate i*k(m) + 2*v(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1582473, -3164919, -4747365, -6329811?\n\"Answer: -1582446*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 + 4*b**2 - 7*b - 56. Give a(-5).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/((-6)\/(-5)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-2)\/(-3)))\/(546\/156).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + t - 3*t - 1, -o - 5*t = 4. Suppose -6*x = -x - 5. Is x greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*b + 2 + 788*b - 272*b.\nAnswer: 615*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3 = 3*u. Suppose -4*y + 2*c + 11 + u = 0, 3*c = -y + 17. Solve -19 + 4 = y*t, t = -5*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 142*y**2\/3 + 412*y\/3 - 272\/3.\nAnswer: 2*(y - 68)*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87412, -174864, -262402, -350068, -437904, -525952, -614254?\n\"Answer: -7*b**3 - b**2 - 87400*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389596?\nAnswer: 2, 3, 11, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 28\/(-8))\/(4\/728). Let o be (-4)\/7 - (-52)\/l. Solve o = 4*d - 0 - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 != -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.837357 nanograms to milligrams.\nAnswer: 0.000007837357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*a + 9856 = 481*a - 169*a for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57\/59 - -2307\/3304. Let c = 1\/7 + t. What is the closest to -1 in c, -4\/5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -10. Let p(d) = d**3 + 6*d**2 + 4*d - 5. Let h be p(-5). What is the second smallest value in h, q, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) - (4 + (-752)\/220). Which is the third biggest value? (a) -5\/3 (b) w (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 142428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52727.900096 + 52720.9. Let x = 1.1 + -8.1. Let k = x - d. Round k to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 8. Let t = 7 - 11. What is the tens digit of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 3*q + 125*q**3 + 6*q**2 - 18*q**3 + 3.\nAnswer: 107*q**3 + 6*q**2 + 6*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 289222 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 3 + 3 + (-2*g - 2*g + 3*g)*(-3*g**2 - 4*g**3 + 3*g**2) + g**2 - g**4 - g**2.\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 10 = -135. Suppose -a*b = 271 - 276. Solve -5*w = -21 + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 8 - 6 - 7 - 82*h as k*h + g and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 163*q - 159*q - 5 = 5, -2*u + 10 = -5*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 576, -8, -1 in descending order.\nAnswer: 576, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - ((sqrt(156) - -1*sqrt(156)) + sqrt(156) + sqrt(156)))\/sqrt(12) + (-2*sqrt(156))\/sqrt(12))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/336*-6 - 26\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/110 and 19\/1988184.\nAnswer: 9940920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104807?\nAnswer: 311, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/9 or 2\/5?\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 14. Let h be l(6). Let c be (-54)\/(-45)*1\/(h\/10). Find the second derivative of -c*o + 13*o**2 + 23 + 6*o**2 - 23 wrt o.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278370 divided by 92790\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-2\/91))**23*(h*h**(-1\/2))\/((((h\/(h\/(((h**(1\/9)\/h)\/h)\/h)))\/h)\/h)\/h)*(h\/(h**(-1)\/h))**32 assuming h is positive.\nAnswer: h**(168265\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 7*z)*(8 + 7 - 7) + (-1 + 3 - 1)*(z - 3*z + 3*z).\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s - 2. Let y be g(-5). Let f = 5 - y. What is the remainder when 11 is divided by 6 + -7 + f + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9345*j**2*o**3*z + 11*j**2*o**2*z**2 + 7*j**2*o*z + 19*j*o**2*z**3 - o**3*z**3 - o**2*z wrt o?\nAnswer: -56070*j**2*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118.74 + -117. Let g = -0.26 - n. Which is the smallest value? (a) 4 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/24*14\/21*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t + 4. Let r be (6\/(-10))\/(2\/10). Is 10 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, -0.06 in ascending order.\nAnswer: -0.06, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 44*q**2 + q. Suppose -10*a + 6*a = -4. Suppose 5*r = 2*f - 42, 5*f - r - 4*r = 90. What is the remainder when t(a) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(19\/228).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1157438*f**2*h**3 - f*h**3 - 9*f*h**2 + 2*f*h + h + 341 wrt f.\nAnswer: -2314876*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1282 (base 10) to base 3.\nAnswer: 1202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77 - 38ba95?\nAnswer: -38bb3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 7*y**4\/12 - 2*y**2 + 10*y. Let s(f) be the first derivative of 2*f**3 - 3*f + 20. Give -5*a(c) + 6*s(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q - 12. Let g(b) = -17*b + 42. Let v(j) = 7*a(j) + 2*g(j). Let w(k) = -238*k + 1. Determine w(v(o)).\nAnswer: -238*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -224, -6497, -23524, -56687, -111368?\n\"Answer: -897*v**3 + 5*v**2 - 9*v + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4224854 (base 9) in base 16?\nAnswer: -227e75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-4)\/(-2). Let p be 8\/(-20)*(-3)\/(-2). Sort m, -1\/3, p in decreasing order.\nAnswer: -1\/3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + 3*h - 4. Let l be z(4). What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1*-3)\/(sqrt(99)\/(sqrt(72)\/sqrt(8))) + 3.\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 + 4*u - 5. Let m be r(4). Suppose 17*x - 4 = 13*x. Sort m, 5, x in ascending order.\nAnswer: m, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21324409 rounded to four dps?\nAnswer: -0.2132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 1037?\nAnswer: 622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*s - 5*g + 219, g + 0*g + 292 = -1001*s + 997*s for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (18 - 34)) + -21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -552 - -677. What is the highest common divisor of x and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*f + 28 - 2 = 0, -4*r = f - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4724764*v**2. Let h(s) = -s**2. What is i(h(b))?\nAnswer: -4724764*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151974*p**3 - 96870*p**3 + 0*p**2 + 124500*p**3 + 0*p**2.\nAnswer: 179604*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -21. Let q = 19 - x. Solve 0 = -q*v - z + 3*z + 35, -v + 2*z = -15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1479 = 2*c - k, 4*c + 5*k - 1327 - 1596 = 0. Calculate the highest common divisor of c and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**4 - 13*g**3 + 3*g**2 - 90*g?\nAnswer: -144*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-19)\/(-570)*(-3)\/2\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1151915590*v**3 + 230*v - 3735 wrt v?\nAnswer: -6911493540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -1, 5 in ascending order.\nAnswer: -99, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 3*y)*(-1 - 3 + 6)*(114*y - 114*y - 878*y**2).\nAnswer: -1756*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:58 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/12 - 2\/8. Let i = 3 + g. Suppose 0*w - i = -4*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -2 + (4 - (-3 - (-14 - -4))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 2*w, -2*w + 6 - 4 = 4*n. Let o = 0.47 + 0.03. Which is the biggest value? (a) o (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/(-27) + 8\/72 + -1. Let j(p) be the third derivative of 1\/120*p**6 - 1\/12*p**4 + 0 + 0*p - 6*p**2 + p**x - 1\/15*p**5. What is j(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 873778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 6. Let n(p) = -p**3 + 29*p**2 - 81*p + 84. Let f be n(26). Give a(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9787, 19575, 29363, 39151, 48939?\nAnswer: 58727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.95 + 0.05. Let k = -354\/5 - -71. Let s = 134\/3 - 45. Which is the closest to s? (a) -5 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**2 + 3181*t + 11487 wrt t.\nAnswer: 2*t + 3181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -8, 0.01, 13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1101187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1585612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(48)\/((sqrt(12)\/sqrt(3) - sqrt(4)) + sqrt(4)))\/(sqrt(16)\/(sqrt(4)*-1)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164530069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 + -21 + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832 is divided by 160?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxrxxeebb. What is prob of sequence xrb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/120 - q**5\/30 + q**4\/8 - q**3\/2 + q**2\/2 - q. Let d(u) be the first derivative of o(u). Determine d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -1 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55\/10 + 9\/(-6). Let a be 399992\/(2 - c) + -4. What is a rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.269, -0.1, 10, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 16. Let m = -5 - x. Suppose 0*f - 5*s + 46 = m*f, -81 = -5*f - 4*s. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 4. Let g be (-2489)\/(-7) - (-1312)\/(-2296). Suppose b*f - 440 = 2*n - 64, -g = -2*f - 5*n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3701445748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3\/12 - 5*j**2\/2 - 25*j\/4 + 1. Let b(q) = 0. What is q?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139276, 278550, 417818, 557080, 696336, 835586?\nAnswer: 974830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 259 in decreasing order.\nAnswer: 259, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 182*4\/8. Is (18\/(-45))\/(2\/v)*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - -2.25. Let l = 2 - o. Let y = -1.0763 - -0.0763. Which is the nearest to y? (a) -1 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n**3 - 3*n**2 + 2. Let m(i) = -38*i**3 - 9*i**2 - i + 8. Let k(c) = -7*a(c) + 2*m(c). What is k(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 48 and -18.25.\nAnswer: 29.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 < -36083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17192 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84261356.\nAnswer: 2, 29, 726391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1034*k + 83 - 30 - 21 - 32 to the form m + r*k and give r.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -206156851186 and 0.059.\nAnswer: -206156851185.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74777306 + -3?\nAnswer: 74777303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2455*l**2. Let j(w) = -103*w. Determine h(j(n)).\nAnswer: -26045095*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 7*q - 5*q + (-1 + 1 + 2)*(4*q + 2*q - 4*q) + 0*q + 0*q - q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(-4)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, -3, 25, 4, 22800 in increasing order.\nAnswer: -3, -1, 1, 3, 4, 25, 22800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5452 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7671 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 0*l**2 + 3*l**2 - 11*l**2 + 6011*l**3.\nAnswer: 6011*l**3 - 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -83 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 8*f**3 + 21*f - 9*f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 1, z: 3}. What is prob of picking 1 g and 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/72 + (-3)\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 4283157?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/43570 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 30*b + 76. Let y be t(9). Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**2 + 105*x**2 - 487*x**2 + 4 + 274*x**2.\nAnswer: -3*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let r(w) = 191783*w. Determine r(z(d)).\nAnswer: 383566*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:10 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 16) to base 3\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s\/(s*s**19))\/s*(s\/(s*s**11*s))\/s assuming s is positive.\nAnswer: s**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*c + 35. Let n = c + -2. Solve 2*g = 2*i - 4, -5*i + 2*i + g = -n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**15\/h)\/(((h*h**(4\/11))\/h)\/h))\/(h**15*(h*h**(3\/5)*h)\/h) assuming h is positive.\nAnswer: h**(-108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -24.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3239 + 3331. Calculate the remainder when 259 is divided by j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 46, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177657859 to the nearest integer?\nAnswer: 13329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -604921 times -0.07?\nAnswer: 42344.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -302 + 180. Let b = -122 - c. Do 6.5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a21a4 (base 11) to base 2\nAnswer: 1001011110001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and 103\/58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -153*w + 9. Let q(y) = -168*y + 2. What is n(q(z))?\nAnswer: 25704*z - 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4078*g**3 + 42*g + 52.\nAnswer: 24468*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 7*a**2 - 6*a + 2. Let n be q(-5). Let r = 1081 - 1089. List the prime factors of (45\/(-9))\/20 + n\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7165009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2. Let d(w) = 1643*w. Determine n(d(p)).\nAnswer: 13497245*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*p + 7*p. Let s(j) be the third derivative of j**5\/30 - j**3\/6 + j**2. Give s(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1286635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + 13)) + 5 - 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188479 is divided by 3769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -5, -1, -819, -14, 5 in descending order.\nAnswer: 7, 5, 0, -1, -5, -14, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose -5*y - 5*b = -15, -y + 5*b = -3 - 12. Suppose -r - y*w = 3*r - 8, o*w - 10 = -5*r. Solve r*i = -3 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 66*c**2 - 8*c - 3. What are the prime factors of u(2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 b, and 1 i when four letters picked without replacement from {b: 1, y: 2, z: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(3\/5)*a*a)*a*a*a))\/(a*a\/(a**(-2)\/a*a)*a))\/(a**(-1\/3)\/a**(-6)))**50 assuming a is positive.\nAnswer: a**(-1660\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 3. Let w be o(2). Let c be (-6)\/w + (-2)\/(-3). What is the remainder when (c + -2)\/2 + 35 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 16*l + 12*l - 40 = 0, -4*l + 137 = -3*v + 153 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/15 and (0 - 3\/70)*735\/(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, k: 2, b: 1, m: 2, g: 1}. What is prob of picking 1 g and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*n - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/16 - 10\/20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68.774 and -0.4?\nAnswer: 27.5096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2541656*h. Let f(q) = 44*q - 1. Calculate f(c(u)).\nAnswer: 111832864*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 0. Let u = -10 + n. Suppose -17 = -u*w - 2. Solve 0 = -x - 0*x - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-21))\/(1695\/(-1659) - -1) and (-49)\/33 - 1\/3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -18. Let v = r - 39. Solve v*h - 13 + 2 = q, 4 = -4*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)**(2\/21))**16\/((d**(-1))**(-50))**36 assuming d is positive.\nAnswer: d**(-63032\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10958010 - -9151990. What is r rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/36652*98)\/(2\/66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19571 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24655.\nAnswer: 5, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810 - 2*w + 810 + 210405*w**2 + 2*w.\nAnswer: 210405*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82.2 - 11.2. Let s = 71.01 - o. What is the third biggest value in 0.1, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 7, t: 2}. What is prob of picking 2 t and 2 b?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*q**3 + 28*q**2 - 28*q**2 - 2419*q**3.\nAnswer: -3306*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/13 - 9552*z**2\/13 + 12448680*z\/13 - 2432168800\/13.\nAnswer: 2*(z - 2270)**2*(z - 236)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -470 and -4.108641.\nAnswer: -474.108641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21034 divided by 2.\nAnswer: -10517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*r + 226*r - 609 = 37*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(-5*sqrt(4)) - (0 + sqrt(1053))) + (1*sqrt(143)*-2 - sqrt(143))\/(sqrt(22)\/(sqrt(2)*2)).\nAnswer: -76*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.3 (c) -25\/21 (d) -0.09 (e) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -3 (c) 1026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 54*u**2 + 26*u**2 - u as r*u + g*u**2 + t and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12725 and 4800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -203*d - 84*d**2 + 99*d + 104*d. Let z(t) = -2*t. What is n(z(p))?\nAnswer: -336*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-8))\/(6\/8). Suppose x*t = 11*t. Suppose t = c - 21 - 2. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*i - 330 + 330)*(-1 - 3 + 0)*(-3 + 2 - 1) + (4*i + 21*i - 4*i)*(-3 + 1 + 1) + (0 + 0 + 2)*(0 + 0 - i) to m + d*i and give d.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.105 - -0.005. Let f = -0.026 + 22.026. Is f > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -85 + -aaa6?\nAnswer: -ab2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**2\/2 - t - 15. Let r(z) = -z**2 + z + 1. Calculate 4*b(q) + 4*r(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*w - 60*w - 3840 = -257*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -291*f**2 + 14*f - 2. Let a(w) = -7276*w**2 + 357*w - 51. Let d(q) = 2*a(q) - 51*b(q). Let r(n) = 46*n. Calculate r(d(p)).\nAnswer: 13294*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 26 - 1\/8*s**2 - 1\/6*s**3 + 1\/20*s**5 + 1\/4*s - 1\/24*s**6 + 1\/8*s**4. Factor g(m).\nAnswer: -(m - 1)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.213 and -24180227.6685.\nAnswer: -24180227.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364\/(-12)*270\/315?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10*-1)\/((-9)\/(-80))*(-12042)\/(-2676)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.13 - 2.25. Let y = 0.38 + u. Let s = y - -12. Which is the second biggest value? (a) -0.1 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6099 and -43\/3774.\nAnswer: 7672542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.158, -0.4, -0.010252?\nAnswer: -0.010252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16 + 85\/(-60)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a**(-10\/9)*a**25\/(a*a\/a**22*a) assuming a is positive.\nAnswer: a**(379\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-45008)\/6)\/(14\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.28 - 0.12. Let k = r + 12.4000107. Round k to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**3 - 8*s**2 + 26*s. Let n(w) = -7*w**3 - 5*w**2 + 17*w. Let c = -21 + 13. Let h(g) = c*n(g) + 5*b(g). Find the second derivative of h(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14774 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - 17) + (-1 - 1) + 8. Solve -5 = q - 0*q, -2*l + q + b = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - 8*u**2 + 2. What is the remainder when p(-4) is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1761 + -1269. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2001201220221?\nAnswer: 2001201220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = 260. Let u be (-2)\/3 - g\/30. Suppose -3*d = 20 - u. Which is the smallest value? (a) -3 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24533.57 nanometers to meters.\nAnswer: 0.00002453357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77 + 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 155 = -y, 8*r + 3239 = -4*y + 3347 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2587*c**2 - 198921291*c + 198921291*c - 7835 wrt c?\nAnswer: -5174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -18)\/(16\/24). Let x = -5 + p. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v, -3*v = 2*h - 137 + 13. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.983203um in meters?\nAnswer: 0.000008983203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3 - 33*j**2 - 75*j - 39 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 33. Suppose 2*i - 46 = 3*l, 2*i + 4*l - 2*l - 56 = 0. Put -5, i, -2, d in decreasing order.\nAnswer: i, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 40\/(-12))*6. Suppose o*d - 22 = -5*a + 18, -d = 5. Suppose 3*r = -5*j + 1 + 74, 4*j - a = 0. Solve 2*l - r = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 2 + 5 + 6 + 3. Let t be o(7). Suppose -8 - t = 5*u. Let d(v) = 2*v + 1. Determine d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5 + 1130*g**4 - 155600*g**3 - 1135960*g**2 - 1327040*g + 2617472 = 0.\nAnswer: -4, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/9))**43\/(d\/(d\/d**(-2))*d*d**(-32)))**(-13\/7) assuming d is positive.\nAnswer: d**(-1430\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onsos. Give prob of sequence sns.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from zzzlzlhlzlzzlhlzll.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5060*h*n*o**3 - 4*h*n*o - 19*h*n + h*o**3 + 101*n*o**3 + 27*n*o - 15*n + 1 wrt o?\nAnswer: -30360*h*n*o + 6*h*o + 606*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:15 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39968\/(-31584) + (-48)\/(-36) and -5\/846?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 9\/2)\/10. Let b = 126\/11 - 2553\/220. Let i = b - v. Is i != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**2 - 5 - 241*u**3 - 3*u**2 + 6*u**2 + 15 + 3 wrt u.\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/5 + 2445738*a**3\/5 + 4891521*a**2\/5 - 26903148*a\/5 - 29348928\/5 = 0.\nAnswer: -4, -1, 3, 815248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -105 (c) 2025 (d) -1\/13 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-1.6.\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 66469 = 11*z - 3*b, -4*b = -3*z + 24931. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249 and 27?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q**5\/5 - 24*q**4\/5 + 23*q**3\/5 + 3*q**2 + 2*q\/5 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4560, 0.3 in ascending order.\nAnswer: -4560, -5, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1 - (5 + (-4 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 5) in base 15?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 33. What is the third derivative of 6*k**2 - 8*k**6 - 4*k**2 + 14*k**s wrt k?\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24806 and 4424.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 - 16) + 198\/2. Which is bigger: c or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 5. Let z be k(0). Suppose 3*o - 25 = 4*d, -2*o + 21 = -o + z*d. What is the tens digit of o + 82 + (-2 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 7. Let q be w(-7). Let v(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + 4*p**2 - 8*p - 1. Is v(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932665801 times -3?\nAnswer: -2797997403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18172\/33 - 2\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 4)*8\/(-10). Let m(f) = -1 + 2*f**3 - 6*f - 3*f**3 - 10*f**2 - s*f. What is the smallest common multiple of m(-9) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857176 is divided by 661?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 51917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.1 and 2224.53336?\nAnswer: 2215.43336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*x**5 - 30*x**3 - 2*x**2 - 6892*x wrt x?\nAnswer: 860*x**3 - 180*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 32. Suppose g*o + 5*j = 240, 0*o + o = 5*j + 35. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905 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: Calculate the highest common factor of 58 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*f + 45. Let s(t) = -t + 9. Let c be s(7). Suppose 0 = -2*x + a + 18, -x + a + 4 = -c*a. What is the remainder when f is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16450 = 5082874\/309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*r = 4, 8 = -b - b - 3*r. Differentiate 9 - x**2 - 6*x**2 - x**b + 4 with respect to x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 + -173. Let j(d) = d**2 + d + 2. Let b be j(2). Let a = b + -3. What is the second smallest value in v, -2\/7, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 816 = -3*f. Let u = f - -136. Solve 4*a + u*p + 28 = 2*p, 3*p + 3 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9448 - -9448. Solve g = -26*x + 29*x + 4*s + 13, 3*x + 2*s + 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 73*i**2\/2 + 1. Let j(u) = 267*u**2 + 263*u**2 + 267*u**2 + 269*u**2 + 220*u**2 - 1282*u**2. Calculate j(x(o)).\nAnswer: 21316*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/8 + a**3\/6 + 4*a**2. Suppose 2*i - i = 1. Let u be v(i). Solve r + 5*g + 6 = -u, 0 = 2*r - 3*g - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:49 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0 + 1\/2*d**3 + d**2 + 1\/12*d**4 + 32*d. Determine c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from {q: 4, s: 1, m: 4, w: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20561 smaller than 20566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -359a + -3?\nAnswer: -35a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 82017906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*z, 5*z - 6*q + q = 20. Let i(a) = 2*a**2 + 2*a + 1. Calculate the remainder when i(z) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 309*i**3 - 8601*i**2 - 28959*i + 172872 = 0. Calculate i.\nAnswer: -49, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3665 at most 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 237*r**8\/56 + r**4\/4 + 5*r**3\/6 + 8*r + 7. What is the third derivative of c(q) wrt q?\nAnswer: 28440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:14 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 104*v**2 - 495*v + 373. Calculate the remainder when k(99) is divided by 373.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + 1*sqrt(198)*-2)\/(1*sqrt(27)\/sqrt(3)))\/((6*(sqrt(128)*-1 + sqrt(128)) + sqrt(128))*3).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*u = 2*u + 99, 10*u + 179 + 31 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 m when three letters picked without replacement from {m: 3, x: 2, s: 6, q: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 33. Suppose -3*a = -n*q - 18, 24 = q - 2*a + 7*a. Let f be 4\/(6\/3) + q. Let m(z) = -z. Let l(s) = 4*s - 1. Calculate f*l(h) + 3*m(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33.07 and -163.405?\nAnswer: 130.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*d = -131*d + 52 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -95. Let w(i) be the second derivative of 0*i**3 + 1\/3*i**4 - 6*i + 0 - i**f. Let s(p) = -p**2. Give -3*s(c) - w(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -21. Is o at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.7 + 265517167.\nAnswer: 265517210.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672800 by 1160.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 48 - 51 = 0, 2*f = j + 15. Suppose 52 = -f*l + 7. Put -4, -0.1, l in increasing order.\nAnswer: l, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(153) + 4 + (sqrt(153) + 0)*-5.\nAnswer: -18*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*t + 87*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let g be o(-5). Let y = 5 + g. Let d(c) = c**2 - 12*c + 36. Let v be d(8). Solve 5*f = 3*s - 14, -v*s + y = -5*f - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357176*a**2 - 13*a**3 - 357176*a**2.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.339362 days to seconds.\nAnswer: 202120.8768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 4*i. Let p(b) = -b. Let h(r) = -4*p(r) + q(r). Let g(s) = 152 - 21*s**2 - 309 + 157. Calculate g(h(a)).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10615?\nAnswer: 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 263665953 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: Suppose -4*t - 501 = -t. Let x = 355 + t. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -913\/15. Let v = 6 + -9.2. Let n = 3 + v. Which is the third smallest value? (a) n (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 234, 460, 674, 870, 1042, 1184?\n\"Answer: -p**3 + 233*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20315*y**5 + 2*y**4 + 14261*y wrt y.\nAnswer: 406300*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/4 - f + 38. Let q(v) = -2*v + 93. Determine g(q(i)).\nAnswer: 12*i**2 - 1116*i + 25947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-15)\/3)\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1344 + 1352 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -23*i + 1035. What is the greatest common divisor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**7\/210 - a**5\/50 + a**3\/30 - a - 14. Factor y(q).\nAnswer: q*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -322, -305, -270, -211, -122, 3?\n\"Answer: h**3 + 3*h**2 + h - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 84*b**2 + 2304*b + 20736.\nAnswer: (b + 24)**2*(b + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3 - 1271*m**4 - 837 - 3*m**2 - 3*m**3 + 1274*m**4 - 162*m**5 - 160 wrt m.\nAnswer: -9720*m**2 + 72*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u + 1337 - 101*u - 1007.\nAnswer: -77*u + 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*z - 8, 20 = -5*z - 9*j + 6*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 11 - 149. Let f = -112 - w. Suppose 0 = 4*s - s - f. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -4540, -16671, -40628, -80353, -139788, -222875?\nAnswer: -333556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 44. Suppose -3*a + 2*t + 19 = -3, 5*t = b*a - 37. Sort a, 5, -7.\nAnswer: -7, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-7348.\nAnswer: -3674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10790 - 4110. What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, o: 4, g: 6}. Give prob of sequence gig.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 19*o**2 + 4. Let l be p(-6). Solve -50 = 10*j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112612840*u + 28153199*u + 28153243*u + 28153200*u + 28153200*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from zqzqyqzyqoyyqqzoyq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/((-832)\/(-192) + 15\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 + 0*q + 0*q)*(2 - 21 + 1) + 0 + 0 - q**2 - 5*q**2 + 3*q**2 + 2*q - 2 + 0*q**2 as o*q + m + x*q**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -57. Suppose 0 = w*a + m - 233, 0*a - 3*a + 4*m + 189 = 0. Calculate the remainder when a is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*y**4 - 3*y**3 + 2*y**2 - 994 wrt y.\nAnswer: -1176*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f - 2*u, 19 - 9 = -2*u. Solve 0 = -f*w + 5*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14896 and 14288?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-48) + 342\/(-912).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 14. Suppose -2*g = 3*k - 0*k + 6, -3*g + 3*k - 39 = 0. Let n be (-3)\/(g\/(-6)) - i. Solve -n*v - 15 - 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - 265. Suppose -44417 = i*m - 239024. What is m rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 771\nAnswer: -23\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*a = -37, -2*h + 2*a = 6*a - 64. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1413 + 2089. Suppose 23*y = 27*y. Suppose y = -2*i + h + 328. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170039063 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-18)\/27 - (-346)\/510). Let q = i - -154. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*f + 97*f = 1596 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1700 and 110?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 5*x**9\/504 + x**5\/10 - 3*x**2 - 1. Let z(v) be the second derivative of a(v). What is the third derivative of z(u) wrt u?\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.186 and 7.\nAnswer: -78.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 2 in descending order.\nAnswer: 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*838.3.\nAnswer: -41.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 2*h, -339 = -l - 4*h. Let q be 1*((-978)\/l - -3). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.94*-41\nAnswer: -366.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2288*b**3\/3 - 449*b - 5457. What is the first derivative of p(o) wrt o?\nAnswer: 4576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 8*a**2 - 5. Let t be p(-8). Let h(b) = 10*b**2 - 15*b + 2 - 7*b**2 - 6. Let g be h(5). Is g <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 37, 83, 155, 259, 401, 587, 823?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b\/(b\/((b*b*b**6)\/b))))\/b*b**(3\/8)*(b**(-4\/5))**(-1\/61) assuming b is positive.\nAnswer: b**(-23453\/2440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 355, 1240, 2973, 5836?\nAnswer: 10111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b*b**(1\/4))\/b*b*b**21)\/(b**(6\/11))**(-12) assuming b is positive.\nAnswer: b**(1355\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, -11\/125, -18 in decreasing order.\nAnswer: 2\/7, -11\/125, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762974288.4728 take away -6?\nAnswer: 3762974294.4728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 4 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3 + 12. Let k = -1375 + 1378. Suppose 3*u + 43 = -f*a + 442, -5*a + 689 = -k*u. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 6030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.552149+3109\nAnswer: 3108.447851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -29*a + 16. Determine i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/358236 and -11\/90.\nAnswer: 1791180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (15\/25)\/(5913\/1095)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14344 and -109\/12.\nAnswer: 43032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -16.818.\nAnswer: 6.7272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 3*k. Let j(r) = -2*r**2 + r. Calculate -5*j(z) + 3*p(z).\nAnswer: -5*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/5 - 114*l = 0.\nAnswer: 0, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3573743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:21 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218776?\nAnswer: 2, 13, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - 1) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82823 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 632*h**4 - 1133*h**2 + 588*h - 16575*h**3 + 12 + 11487*h**2 + 4993*h**4 + 1 - 5.\nAnswer: (h - 2)*(h - 1)*(75*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -s + 5*s - 113, 0 = -4*s - 4*b + 116. Let i = -9 + s. What is the highest common factor of 184 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (220 - 216) + 6\/(-18) + 4180\/(-6). Are r and -694 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*p**5 + p**4 + 39*p**5 - 3*p**4 + 2*p**5 - 3*p**5 + 3*p**5 + 3*p**5 - 3*p**5 + 2*p**5 + (2*p**4 - p**4 - 2*p**4)*(3 + p - 3) - 4*p**5 + p**5 + 5*p**5.\nAnswer: 13*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-11)*y)*y**(4\/7) assuming y is positive.\nAnswer: y**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -0.71. Let d = -2.87 - i. Suppose 3*r - 8*r - 5 = 0. Sort 5, 2\/3, d, r in increasing order.\nAnswer: d, r, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39141?\nAnswer: 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.4 - 24.6. Let r = u - -34.99999916. Round r to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 5*a**2 - 49*a + 363. Let n be v(6). What is the greatest common divisor of 645 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-700)\/(-52)) - (-8)\/10. What is the second biggest value in -2\/9, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + 319 + (252 - 596)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 276. Suppose -4*b + m = 4. Solve -2*r - 7 = g, -r = 3*r + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 24 = 1. Let v = 3 + -2. Suppose 2*j = w - v. Solve 3 = j*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-50))\/((-6)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7510, -7515, -7532, -7567, -7626, -7715, -7840, -8007?\nAnswer: -8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -28*m - 83. Let f be y(-3). Which is the fourth biggest value? (a) f (b) 0 (c) -37 (d) -1\/2 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 8969*q - 605412.\nAnswer: (q - 9036)*(q + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.54144 + 2.27956. Round w to 0 decimal places.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4989, 9778, 14485, 19110, 23653?\nAnswer: 28114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f + 4*f - 12*f)*(71 + 5 + 78 - 15 + 2).\nAnswer: 564*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -4.007\nAnswer: 12.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3482800?\nAnswer: 2, 5, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (1 + -2)) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/77)\/((-2)\/(-4)). Let k = -81\/154 - d. Suppose 2*w - 3 = 3*y, 0*y - 2*w - 1 = y. Do k and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 8) in base 10?\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Which is the nearest to -1\/4? (a) -1 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhoo when four letters picked without replacement from oooh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4377.7251 minutes?\nAnswer: 0.434298125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 8) to base 6\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13793, -5, -7.\nAnswer: -7, -5, -1, 13793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/666 and 49\/90.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let c be (4\/10)\/((-4)\/20). Let i be j(c). Let w = 61\/30 - 8\/15. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -199*c**5\/5 - 3926*c**4\/5 - 21606*c**3\/5 - 15336*c**2\/5 + 54189*c\/5 - 13122\/5 = 0?\nAnswer: -9, -3, 54\/199, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*l - 475*l - 539*l - 131*l + 87*l to the form t*l + r and give t.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-5)\/((-35)\/(-63)). Is ((-6)\/(-21))\/(j\/7693) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -28. What is the highest common divisor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.0810898096 - 0.0810815096. Let c = 35 - l. Round c to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58343952*d*m**2 + 16*d - 240769*m + 1 wrt m?\nAnswer: -116687904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**5 + 408*p**4 - 1196*p**3 + 792*p**2 = 0.\nAnswer: 0, 1, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 519 = b - 524, -12 = 6*t. Let c(s) = -3*s**2 + 37*s + 22. What is c(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-116)\/(-24))\/29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x + 20. Let q(u) = -5*u - 7. Suppose 0 = -r + 2 + 4. Let t(f) = r*k(f) + 17*q(f). What is the first derivative of t(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.42 times 149.076?\nAnswer: -360.76392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40334 and 344?\nAnswer: 161336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*-1*(-1)\/8. Let f = 10077 + -10077.3. What is the third smallest value in a, 0.2, f, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 15*u**2 + 17*u + 12. Let f be j(16). Let s = 51 - f. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 6*f**3 - 3*f**2 + 10*f.\nAnswer: -f*(f - 1)*(f + 2)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41396579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*s + 2547 - 886 + 823 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -23, -29, -37, -47, -59?\n\"Answer: -y**2 - y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2663954 by 6.\nAnswer: 1331977\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 minus -226347.02?\nAnswer: 226347.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 307 + -308. What is the third biggest value in 1\/4, -5, y, -63?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*y - 44, -2*y + 56 = -c + 3*c. Solve -c + 17 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 5, 13, -1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000710508105 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -8*i + 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*f**3 + 12 - 15 - f**3 + f**3 wrt f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*(-10)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/20 and -97\/926.\nAnswer: 9260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.91201 - 218.75.\nAnswer: -219.66201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**3 + q**2 + 3*q - 17. Let s(r) = -13*r**3 - r**2 - 4*r + 19. Let v(n) = 5*s(n) + 6*z(n). Let a be v(-2). Put 4, 2, -5, a in decreasing order.\nAnswer: 4, 2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 7*k - 100. Let f be c(14). Is ((0 - f) + -104)*(-8)\/24 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 30 + (-7 - -18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005308 to seven dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 13*i**2 + 3*i + 41. Let k be t(-13). What are the prime factors of (k\/(-3))\/(44\/(-16104))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3569*0.05\nAnswer: 178.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**3 - 25*n**2 + 2*n - 2404. Let y(v) = 14*v**3 - 47*v**2 + 5*v - 4806. Let c(a) = -5*i(a) + 2*y(a). Find the first derivative of c(b) wrt b.\nAnswer: -21*b**2 + 62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 82. What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 1403773268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7840000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 564 = 22*l. Put 4, l, -1 in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*p**2 - 5*p + 51*p**2 + 7*p**2 + 10*p + 0*p.\nAnswer: -54*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 + -6 - (10 - (-7 - -15)) - 22)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k + 1. Calculate x(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000441318138 to 6 decimal places.\nAnswer: 0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 152\/(-30) + (-12)\/(-4). Let u = -787\/105 - o. What is the common denominator of u and -59\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3810 - 2632 + 1150 - r - 1674 as u*r + l and give l.\nAnswer: -6966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7.42495 - 11\nAnswer: -3.57505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297 divided by 2?\nAnswer: -3297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 - 204. Let t = 33 + f. Suppose -5*l + 33 = x, -t = -5*x - 2*l - l. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c**3 - 40*c - 56*c**3 + 52*c.\nAnswer: -7*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-4) + 0)\/(13\/((-1248)\/(-80))). What is the nearest to -12.2 in 0.4, -5, q, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d + 9. Let f be x(-6). What is the least common multiple of (-4)\/12 - (-31)\/f and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 4*z - 2*z)*(-5 + 2 - 1)*(0*z**3 + 3*z**3 - z**3) + 2*z**4 + 4*z**2 - 4*z**2 in the form j*z + q*z**4 + c + y*z**2 + i*z**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 81*i - 32*i - 104*i**2 - 49*i. Let g(h) = 16*h. Give g(u(r)).\nAnswer: -1664*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -56910.\nAnswer: -4\/28455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-13*9\/(-117)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24)*-143*(-660)\/534820?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/30 + w**2\/5 - 8*w. Suppose s(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - -83) + -54 + 1 + (2 - 2) + 0?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-38 - -28) + (20 - 9)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1643*g**6 - 3287*g**2.\nAnswer: 197160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/18 + 208850\/225?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -78698.\nAnswer: -78703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, 5 in increasing order.\nAnswer: -22, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 6*d + 4. Let b be g(-7). Suppose r + 5*y - b = -0*y, 3*r - 2*y = 16. Calculate the greatest common factor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = 3*n, -3867*n + 3864*n - b = 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42c074 + -3?\nAnswer: 42c071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (-1 + (-6 - -10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-14)\/12))\/((20\/(720\/54))\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 67*n. Let j(x) = -418 + 418 + 4*x. Calculate r(j(d)).\nAnswer: 268*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 18 + 34 + 44*c**2 + 99*c**2.\nAnswer: 143*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**(-2\/11)*(r*r\/r**(5\/3)*r)\/r*(r**1\/r)\/r)\/(((r\/r**(1\/4))\/r)**(-3\/10)*(r**1)**18) assuming r is positive.\nAnswer: r**(-25379\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + -2) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 30*x + 5*x to h*x + t and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -365 - 1126. Let m = u - 264. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952408 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisiicgrisriisggii. What is prob of sequence gg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.07 + -56. Let z = k - -1.53. What is the nearest to -2\/7 in 0.2, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -23*x + 2. Let z(w) = 2*w. Give t(y) + 5*z(y).\nAnswer: -13*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.79 + 0.21. Let u = j + -4.94. Let t = u + 0.24. What is the closest to -1\/2 in 0.5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 38, 5, 4, -5 in decreasing order.\nAnswer: 38, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -173429 and -173429 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3891996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503393773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**2 - 35360*b + 62516480 = 0.\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 3:20 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 6 + 2\/(-1). Let o(v) = -v + 1. Let k(f) = -5*f - f + 0 + 5. Let h(j) = n*o(j) + k(j). Let a(z) = 4*z. Give h(a(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, o: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/7)\/6*(-2)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9247, -18494, -27743, -36994, -46247, -55502?\nAnswer: -64759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q*x**4 - q*x**2 - 54*q*x + q + 2*x wrt x?\nAnswer: -24*q*x**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*u**3 + 1596*u**2 + 22533*u + 2484.\nAnswer: 3*(u + 23)*(u + 36)*(9*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 16795. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 45. Let a be u(-14). Let d(o) be the third derivative of 0*o + 1\/30*o**5 - 2*o**2 + 0 + 1\/12*o**4 + 0*o**a. Suppose d(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5033226, 10066446, 15099666?\nAnswer: 20132886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -631, -969, -1323, -1693, -2079, -2481?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*v**3 + 13*v**2 - 109*v**3 - 118*v**3 wrt v.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(2 + -5 + 2). Sort -1, b, 4, -2 in descending order.\nAnswer: b, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -56*u. Let p(b) = -487*b**2 - b. Calculate d(p(s)).\nAnswer: 27272*s**2 + 56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 9*d + 3*d + 3*d**2 + 9*d - 3*d**3 + 7 - 16*d. Let c be 0\/(-2) + 0 - 3. Is h(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 + 4*f**2 - 4*f - 4. Let l(a) = -16*a**3 - 11*a**2 + 11*a + 12. Let w(y) = -11*i(y) - 4*l(y). What is the derivative of w(j) wrt j?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12686, -12675, -12664, -12653, -12642, -12631?\n\"Answer: 11*u - 12697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/364 and 216\/864 + (1 - (-55)\/(-4))?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3886 - -4677. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*l = -107*l - 64957000. Round l to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2905 = 630*i - 4935 - 5390 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7334 + 1.73327282. What is i rounded to six decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042851 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 13 - 7 = 0. Let g(h) = -h + 2. What is g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by 22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 - 4 = -18*i. What is the lowest common multiple of 12 and 30\/i*(-540)\/50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 257253004\/11 or 23386637?\nAnswer: 23386637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 12, r: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 68488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-24)*-3*2144\/(-144)*-6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8\/7, 0, -0.4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l**2 - 1057*l + 11. Let q(j) = 7*j**2 - 527*j + 6. Calculate 6*b(x) - 11*q(x).\nAnswer: x**2 - 545*x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 13271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 4*n - 5, -2*n = 5*c + 1. What is the second derivative of 8*z**2 - 3*z**2 - 8*z**3 - 5*z**n - 8*z wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8461\/8 - -211913\/200. Find the common denominator of q and 232\/4060 + 63\/45.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (-1)\/((-2)\/(-2))*852\/(-6)?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3678, -7330, -10962, -14574, -18166, -21738, -25290?\nAnswer: -28822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 + 5*t - 8. Let j be z(-7). Suppose 2*s - 285 = -l + j*s, 2*l = -4*s + 546. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 2 d when four letters picked without replacement from dieiidipeddiiep.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 2*o**5\/15 + 2*o**2. Let p = 1 + 1. Let c(d) = -3*d**2 + 4*d**p + d - d. What is g(c(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*s**2 + 13 + 7*s**2 - 458*s**3 - 11*s**2 + 456*s**3 - 10 as b*s**2 + y*s**3 + a*s + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 5. Let f(s) be the third derivative of s**4\/24 + 2569*s**2 - s. What is -c(z) + 2*f(z)?\nAnswer: -3*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29797393 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-1)\/(-2) - (-2)\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**10*s)*s*s**(-3\/16) assuming s is positive.\nAnswer: s**(-147\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j - 90*j + 43*j + (-2 + 2 - 2*j)*(0 - 5 + 3) + j + 0*j + j as p*j + k and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 - 18*f - 6. Calculate r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21684, -24097, -26510, -28923, -31336?\nAnswer: -33749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, v: 1}. What is prob of picking 3 c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36083 - -36080. Which is the closest to 2.51? (a) k (b) 1\/5 (c) 3\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:50 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 139*v**2 - 2*v + 3. Let a be j(1). Is a at most 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/133 and -149\/1596.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 24*v + 20*v - 20*v.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47243041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Let x(j) = -7 + 8*j - j - 4*j**2 + p. Let z(a) = a**2 - 2*a + 2. Let l = -137 - -139. Calculate l*x(o) + 7*z(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57*13\/(-57057))\/((-10)\/(-22)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y - 1. Let i be a(-4). Let n be 2 + (85 - 0) - (-78)\/(-13). Calculate the greatest common factor of n and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7909 divided by -8\nAnswer: -7909\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*x**2 + b**2*x - 13282*b**2 + 6777*b*x**4 wrt x?\nAnswer: 10*b**2 + 81324*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 5*q**2 + 4*q + 6. Let i(y) = 6*y**3 - 14*y**2 + 11*y + 17. Let j = 15 + -16. Let g(n) = -2*n + 2. Let m be g(j). Determine m*i(u) - 11*t(u).\nAnswer: 2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 104\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-54)\/126)\/((-5)\/(10\/(-21))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51129 is divided by 752.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006205258445 rounded to five decimal places?\nAnswer: -0.00621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**3\/3 - i**2 + i + 28. Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/40)\/((-8)\/45*3). What is the third biggest value in -5, -3, -1, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*m, 2*m - 7*m - 10 = 0. Suppose -f = 3*l + l. Which is the smallest value? (a) 4 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 189?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1818603960 divided by 60.\nAnswer: -30310066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*-6*(-11)\/(-660)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + 2 + 651\/(-105). Which is the second smallest value? (a) 3\/7 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 15*l**2 + 29*l + 2. Determine b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423062971 is divided by 168?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, -10, 9, -2, 4.\nAnswer: -10, -2, 1, 4, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1016579, 1016565, 1016551?\nAnswer: 1016537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 - -694. Which is the third biggest value? (a) 2\/7 (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 2*t + 2. Let d be w(2). Let x be (-16)\/d + 10\/45. Let q = 23\/12 - 5\/12. Which is the second smallest value? (a) x (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + 36. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 229, 340, 449, 556, 661, 764?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92176 (base 10) in base 6?\nAnswer: 1550424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.05, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 4*n - 12 = 0, 4*p + 2*n - 42 = 0. Suppose -i + 4*i - p = 0. Suppose -4*j + 0 = -4. Solve 5*o - i*o = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 + 1954*j**2 + 472342*j - 2410810 = 0.\nAnswer: -491, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8400 times 0.1\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*s - 2, 3*s + 4 = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2294, 11389, 26548, 47771, 75058?\nAnswer: 108409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t)**(-18\/5)*t**(1\/2)*t*t**(-4)*((t*t**(1\/2))**(-46))**(2\/31) assuming t is positive.\nAnswer: t**(-431\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.2 and 1.2.\nAnswer: 27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 112 = -3*d, l + 2*l - 5*d = 40. Let i(o) = -1154 + l*o + 1154. Let n(x) = -x. What is n(i(q))?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316 + 106. Let h = 314 + v. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.69 times 794?\nAnswer: 27543.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 + 6*f - 8. Let k be (-25)\/(-150) - (-49)\/(-6). Let s be j(k). Suppose s*w = 11*w - 405. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 181. Suppose 0 = o*q - 16*q - 12. What is the remainder when 21 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/8 + 93*l**3 - 5382*l**2 - 47616*l - 98304.\nAnswer: -3*(l - 128)**2*(l + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 + 338*c - 93. Let n be q(48). Solve 2*w + n = -f, 2*f - 4*w = -0*f + 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 + 61*s - 336784\/3 = 0 for s.\nAnswer: -679, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(3 + sqrt(539))*4 + -5)**2.\nAnswer: 6384*sqrt(11) + 104571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -4. Let m(q) = 10 + q**2 - 2*q + 2*q - 9*q. Let r be m(x). What is the highest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336986947.\nAnswer: 3, 19, 179, 199, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-600) + 25721\/502860?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88516651 smaller than -88516653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 131, 197, 263, 329?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/50*(-68)\/(-102)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 51*q + 851. Is v(-59) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -20*d - 4. Let o(a) = 14*a + 3. Let p(m) = -7*o(m) - 5*v(m). Calculate p(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44)\/sqrt(4) + 1.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 times 1464.7?\nAnswer: 1142.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -134791*j + 4178502. Calculate d(31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -7, 2 in decreasing order.\nAnswer: 13, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317 + -212. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948 at most as big as -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 70 + 75 + x - 99 + 0*x. Let t(h) = 8*h. What is d(t(f))?\nAnswer: 8*f + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/323951616 and 89\/3840.\nAnswer: 1619758080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c + 1 + c + 2. Let b(m) = m**2 + 7*m + 7. Let w be b(-5). Let r(k) = 5*k - 4. Let n(u) = u. Let g(s) = -6*n(s) + r(s). Calculate w*l(t) - 2*g(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -2)*28\/35 + 6. Suppose -7*d + f = -5*d. Suppose 4*i + 15 = -c, 6*i = -3*c + d*i + 10. Solve -2*k = -4*u - 20, -c*u + 3*k + 2*k - 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**9\/252 - 32*m**7\/105 - 3*m**5\/20 - 84*m**2. Find the third derivative of h(c) wrt c.\nAnswer: 240*c**3 - 1536*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/65 in 4, -2\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c + 2. Let d(b) = -b**2 + 5*b. Let t be d(4). Solve -c = x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f\/(f*f\/f**(-1)*f))\/(f**(1\/3))**(2\/15) assuming f is positive.\nAnswer: f**(-128\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 647*v**2 + 763*v + 6*v**2 + 29*v**2 - 90*v**2 wrt v?\nAnswer: 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 - -94. Let k = 78 + m. What is the remainder when 69 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2343611223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*s**3 - 676*s**2 + 152*s.\nAnswer: -4*s*(s + 19)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -0.2, 0.2, -8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 3*n + 3*n + (0 + n + 0)*(0 - 5 + 4).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11*q + 3. Let b be z(8). Let k = 48 + b. Let v = 26 + k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 84*v - 232. Let h(t) = -40*t + 116. Let s(g) = 7*h(g) + 3*w(g). Let f be s(4). Solve 20 = 5*q + k, 0 = 2*q + f*k - 2*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1 - 5 + 3 - p + 0*p. Determine d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 3901611 = -10*d. Suppose -3*l - 2*o = -d + 472535, 0 = -l + 2*o + 275998. What is l rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471?\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwwf when four letters picked without replacement from {f: 5, w: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15*h = 10*h - 17132, 25648 = 3*j + 5*h. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 130930 - 64432. Suppose -2*c + g = 3*w - 107853, -9 = -3*c. Let u = w + -10115. Round u to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 3*f - 4*f)*(-4 + 0 + 3)*(187*f - 187*f - 47*f**2) as a*f**3 + x*f**2 + k + r*f and give a.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10861\/5 - -2173. Let g be 2\/(-9) - (-16)\/72. Suppose g - r*h - 2\/5*h**2 = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-18)*(-2 - 0). Let 4*r**l - 2*r**5 + 3*r**3 - 4*r**4 - r**3 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 + -5569\/11. Calculate the common denominator of m and -51\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -3.276?\nAnswer: -72.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 5*c**3 - 2*c**2 + 8*c**3 + (-c**2 + c**2 + c**2)*(-3*c - c + 3*c).\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545669.\nAnswer: 41, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -21, -2\/15, 60018?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2*2\/2. Let w = r - -13. Calculate the remainder when 26 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v - 7. Let s(o) = 3*o**2 - 2*o - 3*o**2 - 15 + 2*o**2 + 9*o. Let m(f) = -9*d(f) + 4*s(f). Determine m(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 7420344*o - 3441344067396.\nAnswer: -4*(o + 927543)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-3) + (-3)\/(-9). Let p be (4 - (-1844)\/14) + (-28)\/(-98). Calculate the greatest common divisor of m and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8226 and 39?\nAnswer: 106938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*i + 14*i. Suppose -i*l + 23 = -1. Let x(b) = -2 + 4 + 3*b + 3 - 4*b. Calculate x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93*h**2 - 25*h**2 - 7*h**2)*(-3 - 2 + 4 + (0 + 1 - 3)*(-3 + 2 - 1) + 0 - 6 + 0) to the form d*h**2 + a + r*h and give d.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -84 - 315. Calculate the greatest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38970 (base 13) to base 4\nAnswer: 121212213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -142864*r + 425. Is t(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let d = t - 4. Let p = d + -0.0000009. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(64\/196)*4. Let c = -12 + l. Let x = -0.1 + 0.6. What is the second smallest value in x, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.17 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + -118. Find the second derivative of 14*t - p - t**2 - t**3 - 9*t**2 - 5*t - 7*t wrt t.\nAnswer: -6*t - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -367, -316, -231, -112?\n\"Answer: 17*j**2 - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 77*i + 212. Calculate n(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 5) + 15 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + 112 + 77 + -97?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 9*x**2\/2 - x - 1. Let u(h) = 22*h - 2. Suppose 32*y + 2*y = 238. Let j be (-70)\/y*(-42)\/(-35). Calculate j*p(a) + 5*u(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1117 or -1116?\nAnswer: -1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t*t\/(t*t**(1\/14)*t*t)*t*t)\/t))**(-26))**38 assuming t is positive.\nAnswer: t**(-494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 0, 2*h + 3*h + 21 = -b. Let s(c) = 5*c + 3. Let v be s(b). Sort 1, -0.1, v, -5.\nAnswer: -5, v, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 7*g - 5. Let s(a) = a**2 + 3*a + 2. Let p(q) = 5*s(q) + 2*w(q). Let u be p(3). Let m be 1 + 2*3\/u. Solve m*l + 3 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*s - 202, 4*s + 4*b = s - 307. Let l = s + 67. Is 9 a factor of (48\/(-2))\/(l\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8*(-18 + 6). Suppose -x*q + 3*h + 5 = -7, 3 = -3*q - 2*h. Is q >= -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, 8, 5, 22.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 82*c**2 - 94. Let r(d) = -d**2. Give r(n(g)).\nAnswer: -6724*g**4 + 15416*g**2 - 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 239 = 19. Solve 0 = -j - 4*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 7. Let g = -133 + -67. Let r = 211 + g. What is j(r)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/227360 and 13\/3920?\nAnswer: 227360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 22 - 2*b**2 - 20 + 26 to p + m*b**2 + y*b and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czzk when four letters picked without replacement from {c: 1, p: 1, z: 1, s: 1, k: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b6 - 1518?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1609*g**3 - 915*g**2 - 1537953*g.\nAnswer: 9654*g - 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21262.\nAnswer: 2, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5225*h*s**2 + 5*h*w - 366*h - 9*s**2*w + 3*s**2 + 6*s*w - 2*w - 53 wrt s?\nAnswer: 10450*h*s - 18*s*w + 6*s + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -263\nAnswer: 78.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/15 + 5*j**4\/2 - j**2. Determine r so that o(r) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 510986 and 510991 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*m - 6*m - 32, -3*m - 12 = s. Let r = s + 8. Find the second derivative of 2*a + 4*a**4 - r + 0*a**4 + 2 wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*r - 7 = -1, 0 = 4*z + 2*r - 10. Find the third derivative of -37*y**5 + 39*y**2 + 184*y**5 + 147*y**z wrt y.\nAnswer: 8820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let x(s) be the second derivative of -544*s**3\/3 - s**2\/2 - 4515*s + 2. Determine b(x(f)).\nAnswer: 2176*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b9a - 0?\nAnswer: -8b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10677001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 26. Suppose -3*a + 3*d + 123 = 0, 3*a + d - l - 111 = 0. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2050424379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 927823\/21555 + -39 + -4.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 102 = 162. Let q be 40\/w + 444\/9. Suppose 3*r + 24 = 7*r. What is the highest common divisor of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263968.9942 - -264038. Let k = -69 + z. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1503*c - 9585 - 16134 = 2278*c + 26206 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1299\/5 - 597\/5. Let g = o - 141. Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 38 = -3*h, 220 - 227 = -3*h - 5*v for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 37*t - 37. Let r be o(-36). Is 7\/r - (41 - 19765) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 10*c = -2*q + 10, 3*q - 16*q + 5*c + 0*c = 37 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.66 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61536963 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, 739745 in decreasing order.\nAnswer: 739745, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/(a\/(a*a\/a**(-12))))**1 assuming a is positive.\nAnswer: a**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let w = 16 + -16. Suppose 3*p + 2*o - 14 = 0, o + 29 = 3*p - w*o. Calculate the remainder when p is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -13443.\nAnswer: 2\/13443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:37 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 2. Let n(c) = -13*c - 30. Determine -3*l(a) - n(a).\nAnswer: -5*a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2284 + 2284. Solve m*h - 20 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 4:55 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:13 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26734.62 and -0.2.\nAnswer: 26734.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -249, -247, -243, -237, -229, -219, -207?\n\"Answer: o**2 - o - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*i - 3*j + 58, 4*j = i - 5. Suppose -5*w + 13 = u - i, 2 = -w. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*a**4 - 1492*a + 1492*a + (a - 4*a + 2*a)*(a + 4*a**3 - a).\nAnswer: -46*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 186*t**3 - 2*t + 1. Let z be v(2). Suppose -3*d = 5*p - z, 0 = -0*p + 4*p + 3*d - 1781. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499003142?\nAnswer: 2, 11, 17, 1334233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 325465 or 325466?\nAnswer: 325466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*p - 36 = -0*t, 3*t = -4*p + 50. Suppose 0 = 3*a - t - 28. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i = -9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*t - 1)*(-297 - 510 - 210).\nAnswer: 3051*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 45*o + 9. Let t be z(-45). Let f be 102 + t*4\/(-12). What is the highest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186560*l - 186569*l - l**2 + 559687*l - 186558*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76386 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(6\/13)*b)*b)\/b*b*b**(-4\/13) assuming b is positive.\nAnswer: b**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from zeeezezeeeeeeeeeeze?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + -2 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*x + 184, -8 + 4 = 2*x. Calculate the highest common factor of d and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.277 + -0.377. Let w be ((-3)\/2)\/((-3)\/6). Which is the third smallest value? (a) y (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32812 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 6*r + 15 = 0, -5*l = -r - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797218?\nAnswer: 2, 398609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*6\/9 + -2. Suppose -5*y - 10 = -x*y. What is the units digit of (-2)\/(y + (-14)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*w + 2*a, -5*w + 6*a - 33 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1422, -1141, -860, -579, -298, -17?\n\"Answer: 281*l - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-60)\/((-6)\/2). Suppose 3*u - k = 4*f, 4*u - 14 - 10 = 4*f. What is the tens digit of (360\/(-27))\/(1\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154\/3 + -464\/9. Which is the nearest to 1? (a) m (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnolyllllnonyyl. What is prob of sequence nl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-7))\/(21\/(-98)). Solve 5*t - 16 = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-3)\/3)\/(5\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(2\/21)*n)\/n)\/n)\/(n**(1\/16)\/n*n))\/(((n**(-7)*n)\/n)\/n*n*n*n**(2\/39)))**(-1\/32) assuming n is positive.\nAnswer: n**(-7253\/46592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 70 - (-6 + 1 + -4 + (0 - -3))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 24*j + 695 = 59 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-18) + (-50)\/150\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agifimfj. Give prob of sequence fif.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 98*k**5\/15 - 2296*k**4\/15 + 3736*k**3\/5 + 6976*k**2\/15 + 1024*k\/15 = 0.\nAnswer: -2\/7, 0, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -2. Suppose -2*r = -6*r + b. Let a = -8 - -20. Solve -2*c = -r*c + a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1243101 + 2?\nAnswer: -1243044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*w + 1903 - 2637, 2*w + 5*u - 352 = 0. Suppose 0 = -3*s + 1 + 2. Are s and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -7\/48*r**4 - 1\/40*r**5 + 0 - 1\/6*r**3 + 1\/84*r**7 - 4*r**2 + 7\/240*r**6 + 0*r. Factor n(o).\nAnswer: (o - 1)*(o + 1)**2*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2450 - -5164. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49287277\/10 + -4924210. Let b = j + -4524. Find the common denominator of -46\/15 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 - -198. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73a44 (base 13) in base 5?\nAnswer: -23131024","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 9*k**2 + 8*k + 10. Let b be n(8). Suppose 0 = -b*d + 78 + 2. Find the second derivative of -13*t**4 - d*t - 9*t**4 + 28*t + t**4 wrt t.\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose -5*z + 3*x = -121 + 519, 0 = 2*z + b*x + 156. Let l = 135 + z. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138176 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 80 - 24 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 502 - l + 502 - 998. What is k(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-6))\/s*s\/(s\/(s\/s**8))*((s\/(s*s**(-2)*s*s*s))\/s)**8)**(2\/61) assuming s is positive.\nAnswer: s**(-32\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:02 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*t + 3*k + 8, -17 = t + 5*k. Let b(l) be the second derivative of 0*l**t + 0*l**2 + 1\/6*l**4 + l + 0. Let j(g) = -11*g**2. Give j(b(u)).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169630?\nAnswer: 2, 5, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/7, -53, -0.5, -2\/5, -0.14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -13*m**3\/2 - 263*m - 2. Let z(x) = -5*x. Give q(z(p)).\nAnswer: 195*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8068131?\nAnswer: 3, 733, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (-2)\/((-32)\/120)*10.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5403202.\nAnswer: 2, 7, 385943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59599899\/48544 + -3\/48544. Let x = k + -1234. Calculate the common denominator of 28\/9 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 7420 - 431996777.\nAnswer: -431989357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*t - 820, -2*p = -p + t - 164. Suppose -7*x + p = -3*x. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let q be v(-3). Let a(y) = 1 + 5*y**3 - 2 + 2*y**2 - 5*y**q - 6*y**3. Calculate a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**2 + 2*h**4 - 3*h**2 + 8*h**4 wrt h.\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1 - 2*6. Let s = 8 - z. Suppose 5*d + 4*k = 26, -3*d + s = -3*k - k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - -3) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 8382.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 37. Which is the third smallest value? (a) -0.4 (b) 2 (c) r (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w - 4*j, 4*w = 3*w + j + 5. Let k be ((-2)\/4)\/((-3)\/w). Is -0.3 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 + 12*a - 11. Let t be n(-10). Let v = t - 34708\/61. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 1:31 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 30. Let g(b) = 2*b + 4. Let o(i) = 114*i + 216. Let v(t) = -108*g(t) + 2*o(t). Calculate r(v(z)).\nAnswer: -12*z + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.955781 millennia in decades?\nAnswer: 95.5781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 149*i - 12*i = 447 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -97\nAnswer: -5\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289 or 226?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18545041+-998487\nAnswer: 17546554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2862*k**6*l + 8417*k**6 - 2*k**2*l - 5*k**2 - 142608*l + 3 wrt k?\nAnswer: 343440*k**3*l + 1010040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in -4, -1\/5, 0.4, 7.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 955*r**2 - 4*r - 7. Suppose 3*q - a + 13 = 0, 11 = 4*q + 5*a + 3. Let w be y(q). Round w to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-232)\/(-60) + 4\/30. Sort -3, 2, 1\/4, k.\nAnswer: -3, 1\/4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/50152555 and 89\/300915330.\nAnswer: 300915330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223117 + -223119. Let f be (-2)\/6 - (-34)\/66. Let x = 2 + -1. Which is the closest to 2\/3? (a) k (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 350493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5600)\/(-7000))\/(4\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2, -92 in descending order.\nAnswer: -2, -89, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/14 and 43\/170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -815 + 813, 3*o + 4*x = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 39. Suppose -3*a + 0*t = -2*t + 3420008, -p*a - 5699980 = 5*t. Round a to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-13)*j))**(-12\/7) assuming j is positive.\nAnswer: j**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1759*v**4 + 1757*v**4 - v**2 + 3*v**3 + 2*v - 2*v**2 as y*v**4 + d + w*v**3 + i*v + f*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16403330 (base 7) to base 11\nAnswer: -9a1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/((-65)\/(-26)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -1 in increasing order.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3517 = 5*r - 3335, -r + t - 38 = 0 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0\/(3\/(-3)). Suppose 15 = f + v*f. Let k(h) = -h**3 - 5*h**2 + 4*h - 4. What is the remainder when k(-6) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-9 + 7 - ((2 - 4) + 10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*q**2 + 3 + 4360*q**2 - 3.\nAnswer: 4128*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3 - 3*h + 4*h)*(h - 5*h + 3*h) to the form i + b*h**2 + f*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 103346118067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.3. Suppose 0 = -6*k - 1 - 11. Suppose 3*w + w + n = 25, 2*w + 3*n - 25 = 0. Which is the third smallest value? (a) o (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-5) + 4\/10. Let m = 3 - x. Calculate the remainder when m is divided by (2*(-1)\/(-4))\/(39\/468).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 3, -5613?\nAnswer: -5613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 5*m - 39. Suppose -4*z + 30*h + 8 = 34*h, 0 = -h. Let c(d) = d**2 - 4*d + 38. Give z*g(f) + 3*c(f).\nAnswer: -f**2 - 2*f + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14938118 is divided by 187?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-970422 + s - 825*s**2 + 970422)*(-4*s + 2*s + 0*s).\nAnswer: 1650*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 11:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:13 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:29 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2. Let s(z) = 82860943*z. What is s(m(t))?\nAnswer: 248582829*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1048211 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) + 553\/3. Let u = r + -99. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, 3\/7, 0.5 in descending order.\nAnswer: 5, 2, 1, 0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5170 - -2006. List the prime factors of q.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 3*b + 2. Determine g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v + 3*j, v - 17 = -5*j + 12. Suppose 3*x = -5*o + 63, 0*x + 5*x + v*o - 92 = 0. What is the units digit of (6\/(-8))\/((-2)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -301, 140, -20, 1, -0.022 in increasing order.\nAnswer: -301, -20, -0.022, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3417 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124498430 to the power of 1\/2, to the nearest integer?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {n: 3, c: 1, q: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 6207186.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**29))**(-11)*(l**(-31))**(-40) assuming l is positive.\nAnswer: l**1570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 385754 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -16119.\nAnswer: -149\/16119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.7 + -6. Let g = 249\/56 + -39\/8. Sort g, z, 0.5.\nAnswer: g, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + h**3 + 226551*h**2 - 139592.\nAnswer: 4*h**3 + 3*h**2 + 453102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 4 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*m - 4*k, -k - 3*k = -m - 13. Suppose -3*a = -3*o - 3, -o - 5*a = -m*o + 7. Which is smaller: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p. Let u(a) = -a - 7. Let g be u(-6). Let f(m) = -m**2. Suppose 4*l = 5 + 7. Determine g*y(w) + l*f(w).\nAnswer: -w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g - 57*g + 68 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 30\/97 (b) 1 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001405464 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17938.\nAnswer: 2, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131*q + 24 = -1157*q + 2264*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/3 + 2 + (-665)\/(-285). Suppose 4*d + 68 = -5*v + 346, -b*v = -d + 63. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33301374 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(1\/5)\/d)*d*d**38 assuming d is positive.\nAnswer: d**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htisrrsttishherhsths. What is prob of picking 1 i and 2 t?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147\/34 - 1255\/306. Which is the closest to -0.3? (a) 0.07 (b) 0.1 (c) n (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/540*((-39900)\/(-56))\/57*2\/(-10)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*t**2 + t**3 + t**3 + 21*t - 14*t - 22*t**4 + 360*t**2 wrt t.\nAnswer: -528*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:42 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3 - 228*i**2 - 3297*i + 3528 = 0.\nAnswer: -56, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2\/7 (b) -5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 77. Suppose 15 - 90 = -5*i. What is the smallest common multiple of i and m?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s + 5*v + 34 = 0, -v - 17 = -4*s. Suppose -s*y - 60 = -6*y. Suppose c = -0*c + y. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28786898 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 1, 2, -5.\nAnswer: -6, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8591 and 4686.\nAnswer: 51546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, -1641, -3286, -4909, -6504, -8065?\n\"Answer: l**3 + 2*l**2 - 1674*l + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or 41?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-171)\/(-6)) + (111 - 176415\/1083)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*z = -1625 - 45, -2*z = 2*n - 668. Solve 0 = 17*b - 419 + n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43117 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 2*s**2 + 1. Calculate r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 84 = 64*j. List the prime factors of (-2248)\/j + 15\/45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 + 15 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - 2 - (3843 - 3849)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 16118 = -b + 9281, -3*b = 2*x - 76153. What are the prime factors of b?\nAnswer: 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21112.586 + -21093. Let c = 19.8 - r. Let f = c - 0.2140089. What is f rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468078759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -36. Let k = 5 - 0. Suppose -z = 2*s - 9, z = -p*s + k*s - 7. Which is smaller: -3\/14 or z?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49096 or 49090?\nAnswer: 49090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 + 6415*z**3 + 1653369*z**2 + 39726401*z + 251146168 = 0. What is z?\nAnswer: -223, -13, 6664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140670595 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 7*p - 5. Let z(g) = g**2 + 7*g + 6. Let d(m) = -5*t(m) - 4*z(m). Let i be d(-6). Which is the second biggest value? (a) 1 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89604 - 45951. Round r to the nearest one hundred.\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624136 divided by -156034?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least -0.1776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5) + 24 + -16 - 38?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*h - 90 + 206 - 100 = 0, 5*h = 3*g - 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 divided by -77?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1343543551?\nAnswer: -1343543551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2 - (-64)\/(-6))\/(2\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 - a**4\/4 + a**3\/3 - 5*a**2\/2 - a. Let m be o(-4). Let w = -47 + 52. Solve -2*q + m = -3*q, 4*s + w*q = -23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -184127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32658*w + 32657*w + 855667 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4509 or 4565?\nAnswer: 4565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(-18)*(6\/21 + -10) and 1\/3 + (-245)\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:42 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a55d (base 14) to base 8.\nAnswer: -67527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + 20?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((7637 - 11*a - 7637)*(-1 - 1 + 1) + (0 - 1 + 4)*(4 - a - 4) + a + 2 - 2)*(4 + 3 - 6) in the form z*a + x and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (10190 - 10190 - 137*r)*(4*r**2 - 8*r**2 + 6*r**2) in the form l*r**3 + c*r**2 + o + g*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5235685mg to nanograms.\nAnswer: 523568.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/7, 1, 147, 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -v. Let c = 42\/13 + -152\/39. Let u = 11 - 6. What is the smallest value in c, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078 at most 4096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 3*q**4\/2 - 3440*q**3\/3 - 1149*q**2 + 1148*q - 642. Suppose r(d) = 0. Calculate d.\nAnswer: -1, 1\/3, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 2*x**2 - 4*x - 2. Let d be b(2). Let i(m) = m**2 - 2*m - 143. Calculate the remainder when i(d) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81073 = t + y, 66*y - 60*y - 324284 = -4*t. What are the prime factors of t?\nAnswer: 81077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/207 - 476\/1771?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3924 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.945528t to nanograms.\nAnswer: 945528000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 40. Suppose -j - 4*i - c = 0, -3*i = 3*j - 0*i - 6. Suppose -117 - 27 = -j*v. Calculate the remainder when 94 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s**2 + 16*s**2 - 32*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -2 + -2 + 6. Suppose 2*r - i = 2*s, -4*s + 3*r - 9 = -1. Find the common denominator of 143\/6 and (-1436)\/(-280) - s\/(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3 (b) -3 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*m + 22 = 3, -5*d + 2*m = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-312)\/169 + (-2)\/13 - (-15 - 7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2)**2 + 1.\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*l - 0*l + 908, 2*l + 5*g - 601 = 0. Let k = l + -142. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26728477669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**5 + 17947545*l**4 + 408596749*l**2 wrt l?\nAnswer: -360*l**2 + 430741080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -44.95. Let x = 0.05 - v. Suppose 4*q + q = -25. What is the nearest to 1 in q, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 32325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265623821\/364 + -10155561\/14. Let h = -17367\/4 + g. Let f = 149251\/31608 + 1\/3512. Calculate the common denominator of f and h.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138833351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 10*j + 3. Let l be c(-7). Let h = l - -2. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 847668 - 2281015. Let h = -1433347.1240069 - l. Let x = -0.124 - h. Round x to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnhhn. Give prob of sequence nnn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k**(-2\/23)*k))\/k)\/k**2*(k**(2\/7))**25 assuming k is positive.\nAnswer: k**(842\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k**(6\/7))))\/k**(-1\/5) assuming k is positive.\nAnswer: k**(107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/165 + 16\/(-209)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207720 divided by -60?\nAnswer: 3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/20 + 81*h**4\/8 - 40*h**3 + 35*h**2 - 10*h. Factor b(r).\nAnswer: -3*(r - 80)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.9 - 33. Let d = -0.3 - -0.2. Which is the nearest to d? (a) z (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/5 + 2\/(-5). Suppose -p*c = -5, a = -0*a + 5*c + 2. Let v = 4 + a. Calculate the remainder when 31 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and 55\/154682607.\nAnswer: 309365214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.584 + 5.584. What is the closest to 5 in w, 0.07, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 d, and 1 x when four letters picked without replacement from dddddxdkxxdkkddkdd?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 35 = -19*x + 24*x, -5*x - 8*a = -44. Let w(o) = 2*o + 5. Let p(m) = -4. Let f(q) = 9. Let r(z) = -3*f(z) - 7*p(z). Give x*r(y) - w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 - 11*s. Let k(x) = 5*x**2 - 3. Let y(f) = -65*f**2 + 40. Let p(h) = 40*k(h) + 3*y(h). Calculate p(g(t)).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsh when four letters picked without replacement from {h: 2, f: 11, s: 7}?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41045766 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-180)\/8 - 2\/(2*-2). Let r = y - -81. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, h: 14}. Give prob of picking 3 s and 1 h.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6 + 2. Suppose c - 5 = -k. Find the third derivative of -2*b**3 - 3*b + k*b - 2*b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-10 - -5))*(1 + 3). Solve 10 = -t - 3*w, t + 5*w + k = 4*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -k + 3, 4*q - k = -16. Let b be 3*(-4)\/(q\/5). Let p = 35 - b. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -2. Let c(s) = -2 + 11 - s - u - 1. Let g(t) = 3*t - 15. Calculate -15*c(m) - 4*g(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2036225\/6919 + -7338\/187. Let b = x - 255. Let i = -101\/185 - b. Is i > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000616 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6659850, -6659851, -6659852, -6659853?\n\"Answer: -j - 6659849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4813.9902 - -4815. Round s to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15148 and 1092.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**2*d**3 + 11328*b**2 + 609*b*d**4 + 3*b*d - 5*b + 146*d**2 + 3 wrt d.\nAnswer: 54*b**2*d + 7308*b*d**2 + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 15. Let r(g) = -g + 14. Let j(x) = 6*r(x) + 4*z(x). Calculate the lowest common multiple of j(7) and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/220 and 21\/2165540.\nAnswer: 23820940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from {z: 3, f: 3, j: 1, p: 5, i: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -8*s**3\/3 - 51*s**2\/2 + 78. Find the second derivative of o(i) wrt i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2537 at most 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-434261257661\nAnswer: -434261257660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -30, -66, -138, -258, -438?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n. Let h be a(-3). Suppose 20*u = 21*u, o = 9*u + 5. Solve o = -h*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.791 - 0.1.\nAnswer: -0.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316.448 millilitres in litres?\nAnswer: 6.316448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 26937\nAnswer: -26937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwttwttwwtw. Give prob of picking 2 t.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 114, 260, 464, 726, 1046, 1424?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:22 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*n**2 + 39*n**2 - 40*n**2 + 4 + 103*n**2 + 107*n**2.\nAnswer: 300*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 5*i + 15 - 4*i - 6*i - 9*i. Let c be w(13). Let v(r) = -17*r - 8*r - 22*r - c*r. Let d(q) = -2*q. Determine d(v(l)).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 - -1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 7*f = 1872. Let d be 6\/4*3588\/f. Sort d, 0, 5 in decreasing order.\nAnswer: d, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*i = 31, 3*p - 27 = i - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02942 and -5.3.\nAnswer: -5.32942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 45 = -131. Suppose -5*y + 76 = -f. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 305.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 + 1417*x**4 + 44542*x**3 + 306926*x**2 - 753151*x + 400265 = 0.\nAnswer: -1385, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - z**2 + 3*z - 4. What is the least common multiple of 6 and a(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - q - 6*q - 4. Let x be j(-4). Let d = x - 12. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -573, -385, -197, -9, 179?\n\"Answer: 188*f - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x**2 - 551*x + 35. Let h be d(-24). Solve -2*t - 320 = -330, -2*t = -z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*n - 18*n = 72*n + 848. Solve -128\/9*y - 4\/9*y**3 - n*y**2 + 0 = 0 for y.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 - 77. Let s = 43 - b. What is the remainder when s is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 88 - 5*j - 86 + 0*j - 5.\nAnswer: -5*j - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-4)\/10 + 34\/85. Suppose c = -q + 2*b - 7, 5*q - 2 = 6*q - b. Solve -q*d = 4 - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -6 (b) 28 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6150*z + 32557 - 32557 to o + s*z and give s.\nAnswer: -6150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*m - 12, -9 = -9*z + 5*z + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 16. Suppose -g*l + 12 = -2*l. Solve 14 = l*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 19*w - 64. Let z be g(-22). Suppose -40 = -5*j - z*l, 0 = 4*j - 5*l - 19 - 13. Let c(h) be the first derivative of -h**2\/2 - h - 1. Give c(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*n + 4. Let k be 16\/n*(-9)\/12. Let l = 1 - 1. Solve l = 4*t - 2 - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqx when four letters picked without replacement from xzsqzqqqzsz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149*-48.64.\nAnswer: -7247.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*q + 17. Let c = 8 + q. Let z = c + 194. What is the greatest common divisor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*z - 2*v, 3322*z - 3318*z + 3*v = -24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 882\/(-9))*48\/(-15). Solve 300*o - b*o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = -9. Let q(k) = 2*k + 5. Let m(z) = -z - 3. Let o(n) = -5*m(n) - 3*q(n). Calculate o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91395637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w)*((0*w + 0*w - 2*w**2)*(-5*w**2 - 5*w**2 - w**2) + w**3 - w**4 - w**3).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 - 17)*50\/20. Let s = 0.1 - 0.5. Which is the closest to 0.6? (a) p (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 337646*c**2 + 136*c - 3 - 337637*c**2)*(0 + 5 - 3).\nAnswer: 18*c**2 + 272*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 23616\nAnswer: -103\/23616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363*m**4 - 3*m**3 - m**2 - 15*m - 119 wrt m.\nAnswer: -4356*m**2 - 18*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**6*u - k**6 + 7*k**2*u + 3*k**2 + 3*k*u wrt k.\nAnswer: 360*k**3*u - 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233343213 (base 5) to base 3.\nAnswer: 2000121100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*d - 8, 4*a = 13*d - 25*d + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/8)\/(1\/(-6)). Let z = 18 + -88\/5. What is the nearest to -2 in o, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1346216764393 + 77*y + 1346216764393.\nAnswer: 77*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a**3 - 2*a + 1. Let d be w(1). Suppose i = r - 0*i - d, i = -4*r + 69. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from lllvvlvllllvvlllvl?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.75 + 5.75. Let j be (-4 - -5)*3\/3 + 1. Put x, j, -0.5 in increasing order.\nAnswer: -0.5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 5.4. Let f = -5082 - -5086. Suppose -12*j + 13*j = -4. What is the closest to -1 in j, f, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)*g*g**(-1\/29) assuming g is positive.\nAnswer: g**(256\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37677931.8 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 42960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 <= 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2564*y**2 + 309*y + 1259. What are the prime factors of p(-4)?\nAnswer: 41047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14730 - 1123?\nAnswer: 13606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437110.\nAnswer: 2, 5, 43711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*p - 8 - 82, -5*p + 105 = 5*y. Let z = 170 + -156. What is the smallest common multiple of y and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let x(a) = -4*a - 10. Let n(h) = -3*l(h) - x(h). What is the derivative of n(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let h(i) = i**3 + 9*i**2 - 11*i - 8. Let p be h(-10). Let k(s) = 3*s**p + 2*s - 4*s**2 - 2*s. What is k(v(x))?\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -412, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15671 - -28308. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10*18\/(-102)*-17)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5415*z + 938.\nAnswer: -5415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*(-1197)\/114?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1678, 9, 0, 4.\nAnswer: -1678, -4, -3, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -448.63806417 - 17.63\nAnswer: -466.26806417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-9)\/(-54))*213\/(5881356\/(-208))\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -1)*(-12)\/9. Let x be y\/(-3)*6\/4. Suppose -2*k = x*k - 16. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3742.654ns to microseconds.\nAnswer: 3.742654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 1, f: 1, r: 9, n: 5}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 25*v + 12 = 0. What is the smallest common multiple of 28 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g + 160. Let x(j) = -7*j - 160. Let u(y) = 3*m(y) + 2*x(y). Let r be u(-12). What is the highest common factor of r and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986027819 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.02. Let g = 778.89997 - 778.7. Let a = p - g. Round a to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3186*a**3 - 295*a + 295. Suppose v + 1187 = 4*u, -5*v = -14 + 49. Let k(b) = 65*b**3 - 6*b + 6. Calculate u*k(h) - 6*g(h).\nAnswer: 59*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/21 + 8*x**3\/21 - 8*x**2\/21 - 32*x\/21 = 0. What is x?\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2\/125 of a second?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2550)\/(-300) + (-10 - -1). What is the biggest value in 5\/3, g, 3, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 1. Let q be j(-9). Let p = -13 - q. Suppose 0 = -p*x + 69 + 35. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13 = -7. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 6*z**2 + 74*z - 125. List the prime factors of m(21).\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:03 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-52)\/(-24)))\/((-143)\/13).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4529592869 to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -4.9. Let v = y + -6. Let z = 5.6 - 6. Which is the nearest to v? (a) z (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - p**2 - p + 2 + 0*p + p**2 to the form h*p**2 + w + t*p**3 + d*p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122508786 - -2?\nAnswer: 122508788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3765)\/1004)\/(4\/(-256)*-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 3\/7, 5, -19?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 3, z: 3, c: 2}. What is prob of picking 2 k and 1 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1548, -2194, -2830, -3462, -4096?\n\"Answer: -s**3 + 11*s**2 - 672*s - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g + 29. Let u(s) = 5*s + 14. Give -3*q(j) + 5*u(j).\nAnswer: -2*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*g + 7*g - 1642033 + 1641938 as u*g + r and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4000 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101110011010011 (base 2) to base 5\nAnswer: 1230023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 21. Let k = v - 114. Let f = k + 97. Solve -y + 4 = -f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -11. Let t be (-1)\/(-3 + (-132)\/(-45)). Calculate the highest common factor of y and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -34.\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9117, 9130, 9135, 9132, 9121, 9102?\n\"Answer: -4*n**2 + 25*n + 9096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 660062*j + 55431096.\nAnswer: 2*(j + 84)*(j + 329947)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r)\/(r\/(r\/(r*r**(2\/25)\/r*r*r*r))*r))\/(r**(-3\/2))**8 assuming r is positive.\nAnswer: r**(917\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2038, -14133, -46974, -110935, -216390?\nAnswer: -373713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f*t**4*v - 19067*f*t**4 + f*t**2*v - 43*f*t**2 - 36*t**3 + 18989*t**2*v wrt t?\nAnswer: -312*f*t*v - 457608*f*t - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1)\/7)*-1. Let w = d - -18. Let o(n) = 21*n**2 - 2*n + 1. Calculate the remainder when o(1) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-74)\/(-8) - 1). Let j = q - -47. Suppose -3*m + 5 = -2*z, 2*z - 24 = -5*m + 11. Solve -m*n - j = 3*d, -2*d - 2*n - 6 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*f - 68 + 68 = 0. Let u(r) be the second derivative of f*r**2 - 5*r - 1\/6*r**3 - 1 - 7\/12*r**4. Calculate u(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/156132 and -25\/36.\nAnswer: 156132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q\/(q\/(q**1*q)))\/q*q))\/q)**(6\/5)*(q\/(q*q**(-1\/3)*q))**28*((q*q**(-2)*q)**(-2\/15))**22 assuming q is positive.\nAnswer: q**(-334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/19 + -27\/38. Let t be ((-8)\/(-20) + 96\/10)\/2. What is the closest to s in 2, t, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1)*(210*y + 26 - 78*y - 97*y).\nAnswer: -70*y**2 - 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1021100011 (base 3) to base 2\nAnswer: -110000111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -1557, -3502, -6225, -9726, -14005?\nAnswer: -19062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(5) + 4*(sqrt(5) + sqrt(10)\/sqrt(2)).\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2544123, -2544122, -2544123, -2544126, -2544131, -2544138, -2544147?\nAnswer: -2544158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - q - 35 = -52, 4*q + 103 = 5*f. Solve f*w - 80 + 42 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 53*l**4 - 33 + (3 - l - 3)*(-2*l**3 + 5*l**3 - 2*l**3).\nAnswer: 52*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 + t - 10. Let l = 4 + -4. What is i(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 38298*u + 3535767.\nAnswer: 3*(u + 93)*(u + 12673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - 4*(sqrt(52) + (sqrt(2548) + sqrt(52))**2)) + 3 + (sqrt(52) - (sqrt(52) + 1 + 0) - 1*sqrt(52)*4)**2.\nAnswer: -12476 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9374 divided by -7\nAnswer: 9374\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6295*r - 6749*r + 180 - 1996 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47202?\nAnswer: 2, 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11724 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*u + 14, 3*j + 3*u - 22 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*((5 - 1 - 3)*(4*n - 3*n - 3*n) + 4*n + 4*n - 5*n - n - 10*n + 0*n + 0 + 0 - n).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*c = -62, 0*f + 150 = 5*f - 5*c. Suppose 0 = -5*b - 11 + f. Find the second derivative of -4*a**3 - 13*a - 3*a**3 - 4*a**b - 3*a**3 wrt a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**4\/12 - 7*q**3\/2 + 3*q**2. Let n be s(11). Let l(h) = -h + 1. Let v be l(6). Put v, 3, n in ascending order.\nAnswer: v, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1002 divided by -2.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*s + 4*v, -v + 6 = 3*s - 5*v. Solve l = -r + s - 4, 4*l + 5*r = 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -6354.\nAnswer: -5\/6354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 312408\nAnswer: -1\/78102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 7:07 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1076 or -1075?\nAnswer: -1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:45 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -1640, -2481, -3320?\nAnswer: -4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39892.\nAnswer: 2, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 4, a: 2, p: 4}. Give prob of picking 1 p, 1 r, and 1 c.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*r - 6*r + 10, 0 = -2*p + 6. Let b = -148 + 151. Put -1, -5, b, r in descending order.\nAnswer: r, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.8. Let n = 225.8 - 226.2. Which is the nearest to t? (a) -0.3 (b) n (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 28*g. Put g, 4, -3, 11 in decreasing order.\nAnswer: 11, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40731, 40765, 40859, 41043, 41347?\nAnswer: 41801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + -162 + 70 + 9?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 6*x - 4. Let i be f(-4). Suppose 3*s = 2*u + 16, -2*u = -s + u + 10. Let m = s + -4. Put i, m, -3 in descending order.\nAnswer: i, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-12) + -3 + (-11)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 68 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*q + 2*m - 149, -2*q - m = 323. Let i = q - -418. What is the highest common divisor of i and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/2 + 5*s**3\/2 + 3*s. What is the second derivative of o(a) wrt a?\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkh when three letters picked without replacement from hqkh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s. Let b(m) = m**3 - 3*m**2 + 2*m - 4. Let k be b(3). Let l(g) = -10*g**2 + 2*g**k + 7*g**2. Give l(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 + 42*m + 128. Let c be o(-3). Let h(r) be the second derivative of c*r**2 + 1\/3*r**4 - 2*r + 4\/3*r**3 + 0. Factor h(s).\nAnswer: 4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - (-3133)\/364)*-4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 13) to base 14.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48f - 4?\nAnswer: 48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhffhhhfuf. Give prob of sequence uh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -35\/46, 5, 2\/5, -1, -1\/4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1311? (a) -2 (b) 1\/22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1112 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 35*d - 4. Calculate t(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + z + z + 5*z. Let u(a) be the third derivative of a**8\/10080 + a**5\/20 - 4*a**2. Let l(n) be the third derivative of u(n). Give l(h(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 1 + (-10 - -7). Solve -3*n - m - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421866.\nAnswer: 2, 3, 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00511 and 0.1146.\nAnswer: 0.11971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, -1, -405, 0 in descending order.\nAnswer: 4, 2, 0, -1, -5, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 3*v)*(-485 + 111*v + 485).\nAnswer: 111*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 20 = -3*z. Let u = z + -32. Calculate the least common multiple of 3*6\/(-27)*u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*x + (-6*x + 2*x + x)*(1 + 3 + 0) - x + 0*x + 4*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of -8 - (-8 - -13) - -13874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**1))\/h)**(2\/21)\/(h**(-2\/13)*h**(-2\/9)))\/(h**2*h**(-1\/5)\/h*(h**(-1\/4))**(-38)) assuming h is positive.\nAnswer: h**(-82837\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 344.\nAnswer: -5, -1, 1, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/(15\/30)*-2. Let l(k) = -61*k - 49. What is the remainder when 58 is divided by l(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/21*18\/(-36).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 12\nAnswer: -59\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -30. Find the second derivative of -1 - 2*f + f**4 + x - 5 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6698*f**2 + 2. Let j(o) = -3*o**2. Calculate m(j(t)).\nAnswer: -60282*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 + 136875*i**2\/7 - 273741*i\/7 + 136869\/7.\nAnswer: -3*(i - 45623)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27996.84 - 27997. What is the nearest to 1\/2 in m, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101201110003 + 12?\nAnswer: 101201110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 266\/(-49) - 8\/14. Let u(k) = -k**2 - 6*k + 4. Let w be u(v). Suppose i = 5*i - w, -i = 2*o - 27. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.97 - 12. Let r = -0.43 - k. Let x = 0.4 + -0.2. Put x, 0.1, r in increasing order.\nAnswer: r, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**3\/2 - 7*k**2\/2 - k. Let x = -90 - -83. List the prime factors of l(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5 = 21*d - 23*d, -5 = -d - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 22*o = 3*f + 44, 5*f = -15. Let m(w) be the third derivative of w**6\/120 + 2*w**5\/15 + w**4\/4 + w**3\/6 + 2*w**2. Give m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 7*i + 1. Let v(k) = 10*k**2 + 8*k + 1. Let p be 4\/26 - 152\/(-26). Let f(q) = p*a(q) - 5*v(q). Give f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.080504, 5, -1, -0.2, -0.5 in descending order.\nAnswer: 5, 0.080504, -0.2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 747560 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) 3\/8 (c) 2\/341 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:09 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1438 + -2676. Let u = a - -2786. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/(-25) - 198284\/(-164445) and -73\/10.\nAnswer: 17310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2381607451 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((6205710\/3596)\/(-105) - 2\/31).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82b52 - 9d?\nAnswer: 82a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/24 - 35\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4702*a**2 - 4697*a**2 + 9397*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 221433?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 1297*t**2 - 604*t**2 - 2 + 1046*t**2 in the form l*t + a*t**2 + j and give a.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 67995, -3 in ascending order.\nAnswer: -5, -3, 4, 5, 67995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 4, a: 1, t: 4, l: 7, c: 3}. What is prob of picking 1 c and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {z: 1, u: 1, d: 1, m: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194439497 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 23. What is the highest common factor of 80 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 17*w + 18*w)*(-25*w + 1 - 1 + 13*w).\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6548 - 6551. Which is the nearest to -2\/7? (a) -3\/2 (b) z (c) 19 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18776 divided by -9388.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/5 + 288*v**2 + 38806*v\/5 + 37368\/5 = 0 for v.\nAnswer: -692, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(133) + sqrt(133) + sqrt(133) - sqrt(133))\/sqrt(7) - sqrt(684)*1).\nAnswer: -3*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1684a - f8f?\nAnswer: 158bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111200121 - -201?\nAnswer: -111133320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 835 and 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*x = 4757 - 1087, -3646 = -5*a + 3*x. Calculate the highest common factor of 43 and a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3936 and 209879?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 + 23205*u**3 - 80514*u**2 wrt u?\nAnswer: -48*u + 139230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 - (1 - 10)) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + -0.26. Let t = h - -7.7. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpwppccwcgwwpg. Give prob of picking 1 g and 3 p.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Suppose k = 2*w + 2*p, 4*p = 7*p. Suppose n = -w*n + 3. Solve -n*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37229 + 37228.55166. Let u = 0.45 + y. Round u to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 25 - (-1 - 4) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -2\/93 (c) -8 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -202201101102 (base 3) to base 2\nAnswer: -1100011100011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 476009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 239 = 4*i - 113, -f - 176 = -i. Let g = f - -180. Solve -3*p = 0, 0 = -5*s + g*s - 4*p - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 117163640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, -26, -0.5, 1\/40?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 8, h: 6}. What is prob of picking 2 v and 1 j?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -167 (b) -0.7 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772972641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z + 157. Let b(r) = -9*r + 53. Let i(l) = -7*b(l) + 2*q(l). Let t be i(-8). Let o = -124 - t. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 0.02 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*t - 3*t + 85 = 0, 3*t + 45 = k. Suppose 5*n + 2*p = 4*n, p + 27 = 4*n. What is the greatest common divisor of n and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:58 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2222487 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/342 and 41\/4015821?\nAnswer: 24094926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18, 4, -9, 1, -2\/95?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 10. Let d(g) = g**3 + 7*g**2 - 2*g - 4. Let w be d(o). Solve n = 6*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohzohhohutzh. Give prob of sequence ut.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + -4 + (-3)\/3. Suppose r - 9 = -z. Does 3 divide -2 - (-1)\/z*11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 + 12*w**3\/7 + 2*w**2 - 12*w\/7 - 16\/7 = 0. Calculate w.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 8*h + 5. Let j(f) = -f**2 + 4*f + 3. Let c(x) = -7*j(x) + 3*l(x). Let y be c(-6). Calculate the greatest common factor of 36 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2140 + -1985. What is the remainder when n is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i + 9. Calculate m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-80))\/(7\/((-70)\/4))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -102. Suppose 0*o + 17 = i - 3*o, -o - 9 = -2*i. Suppose -34 = -i*z + q. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 1\/3 (c) 0.3 (d) 8\/21 (e) 0.216\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2\/4 - 10389927*r\/4 = 0.\nAnswer: -3463309, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 16*b + 834. What is the hundreds digit of m(45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 8\/51, 5\/13 in increasing order.\nAnswer: -0.15, 8\/51, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00172 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3 + 3)*-4. Let u(l) = l**3 - 2*l**2 + 2*l. Let w be u(x). Suppose w*n - 2*n = 1642. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*t*x**3 - 2*t*x - 14916*t - 10*x**3 - 275*x**2 + 14*x wrt x.\nAnswer: -150*t*x - 60*x - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 + 28*y. Determine n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = 0, 1 = -0*i - i - k. Let y be (-7)\/3 + 5\/15. Let f = y - i. Solve d = 5 - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = -q + 3*r, -3*q - 5*r = 6. Suppose p = 5 - 1. Suppose 3*o - 5*k + 4 = 0, -o - o + p = -2*k. Calculate the lowest common multiple of q and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 1332, 4483, 10620, 20739, 35836?\nAnswer: 56907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 186126852*h - 30312804406001166.\nAnswer: -2*(h - 325721991)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30383 is divided by 797.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 0, -6*p = n - 11*p - 11. Solve -3*r + 9 = 0, 5*r = -5*a + n*r - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-3)\/6). Let s(y) = 11*y**2 - y. Let k be s(l). What is the highest common divisor of k and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/(5145\/(-70)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 7\/11*n**2 - 8\/11*n**3 + 0 - 1\/11*n**4.\nAnswer: -n**2*(n + 1)*(n + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 1 - 1. Let k(w) = -5*w**2 + 2*w**2 + w**2. Calculate o(k(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2. Suppose 2*s + 3*t = t + 32976, -5*s = 4*t - 82441. Let w(b) = -12*b + s - 16489. Give a(w(r)).\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 353?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 + (-5868)\/216 - (-4 + (0 - 0)). What is the closest to -0.1 in y, 6, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/16*y**4 + 0*y + 0 + 0*y**3 - 6*y**2 - 1\/80*y**5. Let m(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 12635, 24 in descending order.\nAnswer: 12635, 29, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3604*y + 108490. What is s(-30)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -43 (b) -13 (c) -2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -213, -6, -0.1 in descending order.\nAnswer: -0.1, -3, -6, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19418 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 3349710.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*b**5*r - 150*b**5 + 16*b**2 - 1775*b - 97*r wrt b?\nAnswer: -1300*b**3*r - 3000*b**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 - 4*o - 11. Let f(j) = -11*j**2 - 3*j - 11. Let k(m) = 4*f(m) - 3*r(m). Find the first derivative of k(t) wrt t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854920 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 121*q**2*z**2 - 3*q**2*z + 1103*q*z**2 - 2157273*z**2 wrt q?\nAnswer: 242*q*z**2 - 6*q*z + 1103*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5797, -5798, -5799, -5800, -5801, -5802?\n\"Answer: -v - 5796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.66 + 51. Let o = k + -3.339578. What is o rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - l - 2. Let s be m(-4). Let b = 11 - 20. Let h = 10 + b. Does h = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 5. Let y be z(17). Suppose 27*v + 530 = y*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77.218 + 0.06.\nAnswer: 77.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -476*h**4 + 2*h**3 + 4156*h?\nAnswer: -5712*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 2. Let w(n) = -23*n + 11. Suppose 4*y - 26 = -2. Calculate y*w(v) - 34*p(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614.351 hours in microseconds?\nAnswer: 5811663600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 16) in base 12?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let z(o) be the second derivative of o**6\/360 + 2*o**3\/3 - 17*o**2\/2 - 14*o + 4. Let t(d) be the second derivative of z(d). What is t(s(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 849, 745, 641?\n\"Answer: -104*w + 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 73.155 * -0.0967\nAnswer: -7.0740885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - x - 1, -18*x - 7 = 4*i - 21*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 4, 1\/6, 1\/4.\nAnswer: -3.6, 1\/6, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4814*j + 4848*j + 5*j**2 + 0*j**2 - 9642*j.\nAnswer: 5*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 8.6. Which is the smallest value? (a) 1 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58738081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -4.3. Let s = 0.3 - i. Which is the third biggest value? (a) s (b) 2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s - 27*s - 9435 + 9445 as i + n*s and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2 - 1939781*o + 969890*o + 969891*o. Let r(i) = -1193*i**2. Give r(n(h)).\nAnswer: -58457*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -592*g + 2452. Let o be w(4). Let q = -108 + 192. Is q less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10021274 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 3*n. Suppose -2*k = h, 3*h - 4*h + 4 = -n*k. Let d be (-3 - k) + 0 + -1. What is the nearest to 1 in d, -2\/5, -4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 514\/12 - 3\/(-36)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvqznvrvvrnz. What is prob of picking 1 f and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116194.\nAnswer: 2, 43, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/26*24*3\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r. Let v be 4\/(-10)*15\/(-6). What is the smallest common multiple of o(v) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -4, 12 in increasing order.\nAnswer: -4, -2, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 3*n**4\/2 - 5*n**2\/2 + 1. Find the second derivative of s(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46480 - 24087. What are the prime factors of b?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 11*m - 22. Let l be w(2). Which is the third smallest value? (a) 3\/8 (b) -4\/29 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 + 1014*f**2 - 39687*f + 38676 = 0.\nAnswer: 1, 44, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62107 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1666 + -1.078. What is r rounded to 2 dps?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141639, -141640, -141641, -141642, -141643, -141644?\nAnswer: -141645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18477 times -0.4?\nAnswer: -7390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.151, -76, -3\/14, 2\/3, -1\/7, -3\/4?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:57 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = 30*m - 1919. What is the remainder when 278 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -t. Let p = 8 - t. Let o = 8 + p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -46. Let j = x - -38\/3. Which is bigger: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 3*g - 23. Suppose 5*f - 3*u + 20 = 0, -2*u = 10 - 0. Let w be n(f). Solve v = w*r, 3*v = 4*v - 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c - 0. Suppose -2*p + 18 = c. Let w be 1\/(-4) - (-18)\/8. Solve -w*a = -5*a - s - 8, s - p = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.01644 - -7.99. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/9)*y*y**(-5)*y**(-3\/11)\/y**1 assuming y is positive.\nAnswer: y**(-511\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*p - 12 = -4*p, f - 4*p = 0. Suppose 0 = f*h - 1692 + 364. What are the prime factors of (h - -1)*(18 - 17)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 2, b: 10, s: 4}. What is prob of picking 1 f and 1 s?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7495, -29996, -67499, -120004?\nAnswer: -187511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611551 is divided by 931?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 4*m. Let t(c) = -7*c. Give t(d(w)).\nAnswer: -21*w**2 + 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, 6, -1\/3, 0.5 in ascending order.\nAnswer: -1\/3, 0.5, 5.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 233200000 rounded to the nearest one million?\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/(2\/5 + 4935\/(-13125))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.877 grams to micrograms.\nAnswer: 183877000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 80, 5, -0.8, -3, -21\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/66 - 32\/(-176)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78.8 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (-31 - -33) - -33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*21\/(-1449) + (-117)\/(-23). Solve -3*s + 0*s - 11 = -i*d, 0 = 5*s + 4*d + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -71, -218, -507, -986?\n\"Answer: -8*q**3 + q**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 315.566 times -2\nAnswer: -631.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -11. Suppose 3*d = 6 + 17 - 11. What is the smallest common multiple of d and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 75, 15, -23, 3, -5, -3 in decreasing order.\nAnswer: 75, 15, 3, 1, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:44 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 0, -4*i - 22 = -2*b - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -36 + ((-1 + 10 - 10) + 21 + -13 - -3)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 3. Let g be x(6). Let w = g + 34. Let o(u) = -450001*u**3 - u + 2. Let a be o(w). Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/4056 and 121\/468?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -200 in descending order.\nAnswer: 1, -5, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -1 + sqrt(1300)) + (sqrt(1300)*2*-3 - (0 + sqrt(1300))*-4) + -2)**2.\nAnswer: -1920*sqrt(13) + 12724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 + 2*x - 1. Let t be n(1). Let l = t + 7. What are the prime factors of (l\/15)\/((-2)\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1971\/(-11607))\/((-60)\/4)*5.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*s - v - 7, 0 = -2*s + 5*v - 22 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 30273 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 19251214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280896845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*w**2 + w**3 - 12 + 12 + 0*w**3 - 549*w**2 - 6*w**3.\nAnswer: -5*w**3 + 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3\/2*x**2 + 153\/2*x + 0 = 0.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(2\/3)*k)**(-2) assuming k is positive.\nAnswer: k**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/5 + 212*k**4\/5 - 448*k**3\/5 - 1692*k**2\/5 + 774*k - 1944\/5 = 0.\nAnswer: -108, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1eb0 (base 15) to base 10\nAnswer: -6690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 276 = -z + 3*f, 5*z + 291 = -2*f. Which is smaller: -56 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 26*s**6\/5 - 70*s**2 + 33*s. What is the derivative of q(r) wrt r?\nAnswer: 624*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36086 - -36118.973. Round q to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 560*j + 790. Let s(o) = -505*o - 789. Let u(z) = -6*m(z) - 7*s(z). Differentiate u(r) wrt r.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 + 1238*c**3 - 18944*c**2 + 48136*c - 30432 = 0.\nAnswer: -634, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -83. What is the second derivative of 10*r + 33*r**3 + 2 + 3*r**4 - q*r**3 + 3*r wrt r?\nAnswer: 36*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 642335.\nAnswer: 2\/642335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -982271.6458 rounded to the nearest one thousand?\nAnswer: -982000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-10)\/(-1191))*(-754)\/(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87732262 and 9294.\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14761 divided by 121\nAnswer: 14761\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 3*x**3 + x**3 + (72*x + 14399 - 14399)*(-5*x**2 + 4*x**2 + 0*x**2).\nAnswer: -71*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3. Let q(k) = 15*k - 8. Let c(t) = -12*t + 6. Let n(j) = -4*c(j) - 3*q(j). Let x(f) = f**2 - 4*f - 2. Let w be x(4). Give w*b(s) - n(s).\nAnswer: 2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1440 + 1307 = 5*n, 8*n = -195*s + 3*n - 5290 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384 + 360.1. Let l = z + 21.9. What is the smallest value in -5, -12, l?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:23 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53582234887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 - -0.3. Let q = w - -0.34. Let o = q - 0.3. What is the closest to -1 in o, 0.3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 + 69*r - 6. Suppose f - 16 = b, b + 21*f + 4 = 18*f. Is h(b) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 4 - 10*c**3 + 15*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/13, -5, -5\/2, 9, -1\/2, 2.8?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + 84. Calculate the highest common factor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7794 is divided by 217.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -97*n + 14. Let z(q) = 33*q - 5. What is 6*m(d) + 17*z(d)?\nAnswer: -21*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, y: 1, q: 2, i: 3}. What is prob of picking 1 w and 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2 = 9*y + 2*p, 0 = -y - 3*p - 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 (base 15) in base 2?\nAnswer: -10010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350855?\nAnswer: 5, 47, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2 + 53*k + 31. What is the derivative of x(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 4*j + 50, 4*j + 26 = m. Let g(z) = z**2 - 5*z - 3. Let t be g(m). Let q(c) = 63*c - 4. Is q(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.218 * 0.5.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-875)*10)\/3.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = 13. Let t(f) = f**3 + 1 + 6*f - g*f + 5*f**2 + 4*f. Let n be (4\/(-3))\/((-2)\/(-6)). Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:17 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a + 1. Let q(i) = -i. Let d(b) = 2*o(b) + 18*q(b). Let m be d(-3). Let p(t) = t + 5*t - 1 + 0*t. Let l(k) = k. Give m*l(v) - 2*p(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -138, -240, -342?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 47 - 88 - 39 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 - i - 8. Let c(r) = 2*r - 2. Let n be c(2). Suppose 11*h + 175 = 637. Suppose -4*s = n*s + h. Calculate m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1\/15, -413, 5, 3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -40, -58, -50, -4, 92?\n\"Answer: 2*l**3 - 5*l**2 - 31*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqqxxqqqobxx. Give prob of sequence xqo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 12*i**2 - 2*i + 12. Let w(j) = j**3 + 19*j**2 + 55*j - 8. Let y be w(-4). Determine d(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*n + 12. Find the first derivative of 0 + 4 - p**n + 5 wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7974301\/6 + -1332306. Let l = 3272 + n. Find the common denominator of l and -37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((570\/(-25))\/6)\/(3\/(-15)). What is the second derivative of -13 + y*s + 25 - 12 - 3*s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 3}. What is prob of picking 3 d and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:02 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from aaaaaaaoiaaiz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4393, -4394, -4395, -4396, -4397?\nAnswer: -4398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/4 + -5)\/(9\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w. Let v(o) = -o. Let z(r) = -b(r) + 4*v(r). Let i(n) = 19*n. Give z(i(y)).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*p + 1747 - 163 = 102 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 12978 + 5681 - 24142.\nAnswer: -5*r**2 - 31439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 4. Let n be c(5). Calculate the highest common divisor of n and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40065320 != 40065322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -5, 2, -11 in decreasing order.\nAnswer: 13, 2, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (7 - 13) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 15\/2. What is the fourth smallest value in -1, 2\/3, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 10)*(0*o**3 - o**3 - 2*o**3) as k*o + l + h*o**2 + m*o**3 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54949 = 3*x + 5*f, 0 = 53*f - 50*f + 12. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/11 - (306\/(-33))\/(-3)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 132 = 5*n - 0*k, 5*n - 5*k = 135. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -214\/5. Let x be (-6)\/(-15) + (-3)\/(-5). Is o <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27871)\/(-5337))\/(4\/(-36))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1818 and 6?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - -2*sqrt(1300))*-6 - sqrt(65)\/(sqrt(270)\/sqrt(6)))**2.\nAnswer: 3804853\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -62*z. Let j(s) = 9*s**2 + 107*s + 21. Let u be j(-12). Let x(v) = 8*v + 40 - u - 7. Calculate y(x(q)).\nAnswer: -496*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/976 and 47\/2318.\nAnswer: 18544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10159*h**2 - 6*h + 27582*h**2 + 17*h - 1196*h**2 + 19400*h**2.\nAnswer: 55945*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d242 + -33?\nAnswer: -1d275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135276880?\nAnswer: 2, 5, 41, 89, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19845, -19705, -19567, -19431?\n\"Answer: -l**2 + 143*l - 19987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2007, 2031, 2057, 2085, 2115, 2147?\n\"Answer: q**2 + 21*q + 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 1*(0 + -1). Let g be (-5)\/2 + 1*w\/6. Let q(i) = i**3 + 3*i**2 + 2*i - 2. Calculate q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2696 and 29\/1657404.\nAnswer: 1117090296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 12. Let z be n(-6). Is z at most -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let j(a) = -8*a + 5. Let k(m) = j(m) + 4*p(m). Let f(y) = -y**2 - 6*y. Let n be f(-5). Let i(g) = -9 - n + 11*g + 0. Determine -6*i(q) - 17*k(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h + 4*f, 19*h - 4*f + 8 = 15*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/12 - 10*x**4\/3 + 70*x**3\/3 + 4*x**2 - 33. Find d, given that p(d) = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.32, 4\/7, -6, 2.5, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2404*o + 11858 = -2646*o for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 152.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 69. Let u(b) = 2*b + 31. Is 5 a factor of u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*p - 9. Suppose s + g - 14 = 4, -s + 12 = -p*g. Let q = s - -2. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 18 = -2*h, -2*x - 5*h - 41 = -50 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 38. Let w be (3 + (-35)\/20)*u. Let k(g) = g**2 - 6. What is the tens digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1120662?\nAnswer: -1120660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/19 + 640*y**3\/19 - 66522*y**2\/19 + 2096172*y\/19 + 15112656\/19 = 0.\nAnswer: -6, 92, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39709 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b - 4. Suppose 6 = -4*j + 70. Let w be 0\/(2 + -4 + 4). Solve -b*z = -w*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -100*o + 7798. Determine d(78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99182 - 0?\nAnswer: -99182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 518*j**2 + 22098*j + 18369. Give i(471).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*v + 16, 28*v - 117 = 7*v + 4*i. Solve -4*j - 8 = 5*f, 0 = v*f + 2*j + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -47 - (-2 - (12 + -6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*n**3 + 218\/11*n**2 + 2070\/11 - 1362\/11*n.\nAnswer: 2*(n - 3)**2*(n + 115)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11580 is divided by 682?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11316233 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + -4. Which is smaller: g or -33?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 816099056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1312 - 7817\/6. What is the common denominator of 29\/10 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3*k + 17, -9*y - 25 = 54*k - 49*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1380, 1384, 1398, 1422, 1456, 1500, 1554?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 9. Which is the closest to 0? (a) 0.2 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1376*b**5 - 27*b**4 - 5*b**3 + 4*b**2 - 598035.\nAnswer: -82560*b**2 - 648*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2729268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 + 845*m - m**4 + m**2 - 845*m + 9 + 0*m**4 to the form w*m + p*m**4 + g*m**3 + t + y*m**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {p: 3, z: 4, f: 5, q: 1}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1971? (a) -4\/3 (b) -0.3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -5 (c) -0.2 (d) -7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -5*y, 4*m = -0*y - 4*y + 12. Solve y*v + 29 = j, 3*v + 31 = -j + 5*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g**2 - 3*g - 3. Let m be 0 - (5\/5)\/(7\/(-21)). Let i(a) = -21*a**2 - 7*a - 7. Determine m*i(n) - 7*w(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from lnnnlnklnlllnnlnlln?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4202*v - 96805. Determine p(23).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -24. Let x = w + 15. What is the biggest value in x, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0237 in 574, 0.01, 0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 17. Suppose -l*k = 19*k - 76102. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -11*s**4\/12 - 8*s**2. Let i(a) = -2*a - 11*a + a + 7*a. What is i(u(k))?\nAnswer: 110*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 82*n - 8 = g, 3*g + 24 = -2*n for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(7\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0 - 13\/2*m**2 + 5\/3*m**3 - 8*m. Differentiate v(b) with respect to b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 1)**2 - 2*sqrt(2)*-4.\nAnswer: 16*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (63232\/117)\/(-38).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-8)*l)\/l**(-1\/8))\/(l**(-1))**(2\/69))**(2\/37) assuming l is positive.\nAnswer: l**(-3779\/10212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5135626 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 o(b) = -3*b**2 - 3262*b + 23024. Calculate o(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/66 and ((-292)\/(-132))\/((-6)\/(-9))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 205 + 0?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37478030619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1015 * 1863.\nAnswer: 189.0945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, w: 2, v: 4}. What is prob of picking 2 p and 1 w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2141629768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*f**4\/7 + 36*f**3\/7 - 2*f**2\/7 = 0. Calculate f.\nAnswer: -1, 0, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (32 + -84 - -52 - (3 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4\/3, -0.24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose x = c + 3*c - 68. Let f(u) = u + 13. Let j be f(-9). Solve -4*v + c = -h, v + 17 = -j*h - 0*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-365)\/60 + 6) + -1. Suppose i*w + 0*w - 6248 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9702.103 seconds to milliseconds.\nAnswer: 9702103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 18*h + 13 - 7 to n*h + d and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 754 - 748. Solve 3*r - l = 5*a, -4*r + 2*a = -r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605430109?\nAnswer: 605430109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m. Let y(k) = 1298*k. Determine n(y(g)).\nAnswer: 16874*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -174. Let v(u) = 2*u**3 + 18*u**2 - 3*u - 16. Let j be v(-9). Suppose j*t - 108 = 2. Calculate the greatest common divisor of t and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 4. Let m be n(6). Suppose -3*l - 3*r + m = 2*r, 0 = 3*r + 6. Solve b + 0 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4*x - 2*x**3 - 26*x**4 + 17792*x**2 + 17784*x**2 - 35575*x**2 in the form c*x**3 + d + z*x**2 + k*x + n*x**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 2. Let y = 5 + f. Let h be (-48)\/140 - (-2)\/14. What is the closest to 1 in h, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 - (3 - 40)) + (1 - 3). Factor -q + 1\/2*m**2 + 15\/2*m.\nAnswer: (m - 1)*(m + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 16*g + 11. Let t be z(5). Let l = 19 + -13. Find the third derivative of 9*c**2 + 3*c**l + 2*c**6 - 4*c**t wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18263.89571 to 0 decimal places.\nAnswer: 18264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 40554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adpdddddauugaadssdgs. What is prob of sequence ga?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/73 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/23 != -1\/1862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5990 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-2))\/(-4 - -3). Solve -2*x + 4 = -a*f - 7, -4*x + 17 = -5*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940081913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 7, j: 3, o: 3, t: 2, z: 3}. What is prob of sequence doz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y - 4. Let a(d) = -d**2 + 10*d - 10. Suppose -7 = -o + 2*w, -5*o + 5*w - w = -17. Let n be (o - (-3)\/9)*6. Let m be a(n). What is u(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 27*t**2 - 2 + 5*t - 7*t**2 + 1. Let u be p(2). Let v = -65 + u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d\/(d**0*d))\/d*d)\/d)*d**4*d*d*(d\/d**(4\/3))\/d*d*d**(2\/21)\/d*d assuming d is positive.\nAnswer: d**(163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-354)\/(-9))\/((-5)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c + 9 = 3*v - 93*c - 39, 5*c - 3*c + 4 = v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-46 + 44)*(-3 - -1))\/(8*(-1)\/(-86))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.72 + -3.31. Let d = x + 3.42. Let u = d + -1.8299849. Round u to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from xflexlw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.9 in -1\/3, -444, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.01, 11.45?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96960406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*m - 13 = 0, 2*m + 3 = -5*r + 2. Does 36 divide 36*(-2 + r + 32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*w**4 + 23456*w**3 + 3219*w + 31.\nAnswer: -144*w**2 + 140736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 179\/6, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10232 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-29\/5))\/(r*r*(r\/r**26)\/r*r))\/(r**(-36)\/(r**33*r)))**(2\/3) assuming r is positive.\nAnswer: r**(294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) + 3 + -2*sqrt(208) + sqrt(208) - 1*sqrt(208)*-5)**2.\nAnswer: 120*sqrt(13) + 5211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*n - 15, -3*n - 15 = -x - x. Suppose 0 = -3*h - x*h + 15. Sort 0, -1, h.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.19414 grams to micrograms.\nAnswer: 6194140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*3*(-4)\/(-42). Let l(y) = y**2 + 4*y - 1. Let a be l(-5). What is the closest to a in h, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.0255 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 + 5.7. Let n(f) = -2*f**2 - 6*f. Let d be n(-4). Let c = 1.99 - -0.01. What is the nearest to d in -0.2, u, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-34))**(-1\/12))**(2\/35) assuming r is positive.\nAnswer: r**(11\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 - z + 16. Suppose 2*h + 3*h = 40. What is the smallest common multiple of j(0) and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + 8 + (-7 - -13). Differentiate -k - 29 - 189*n + 24*n**2 + 189*n wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2518243816 - -74774213636280\/29693. Let j = b + -2\/1291. Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89859 or 89857?\nAnswer: 89857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 3, f: 2, n: 4, v: 1}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1000011?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10020001001 (base 3) to base 10\nAnswer: 63451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18605.29608ms?\nAnswer: 0.000030762725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -6*n**3 - 7*n + 4*n**2 - 2*n**2 + 0*n**2 - 3*n**2. What are the prime factors of r(-2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8)*2)\/3. Sort p, -5, -9 in decreasing order.\nAnswer: p, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 6. Let n be s(-7). Let r = -0.8 + 1.2. What is the closest to 0 in n, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2. Let l(h) be the third derivative of 199*h**5\/60 + 2*h**2 + 36*h. Determine m(l(a)).\nAnswer: -514813*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 433155250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/144020072?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198.8 - 212. Let c = 13 + m. What is the nearest to -2 in -5, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7281780 divided by 15045.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.3 - 130.8. Put z, -0.11, 4 in increasing order.\nAnswer: -0.11, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 130*g + 691. Calculate q(-59).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 192, 202, 214, 228?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190\/(-6 - 13) + 14228.\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1676 - -0.0376. Sort d, -2\/19, 3\/4, -1\/3.\nAnswer: -1\/3, d, -2\/19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -28, 13, 161, 5, -1 in descending order.\nAnswer: 161, 13, 5, 1, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 142*y**3 + 378*y**3 + 10*y - 517*y**3 as n*y**3 + o*y**2 + r + j*y and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (990*s + 1 + 1332*s + 3 - 4 + 2996*s)*(23 - 57 - 37) as o*s + c and give o.\nAnswer: -377578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -13. Let -14*k - 7 + 0*k**2 + 2*k**3 + r*k + 1 - 2*k**2 = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 72*o**2 - 3*o - 7. What are the prime factors of c(-3)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plzfilfz. What is prob of sequence iiff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1874 + 1937. What is the least common multiple of 162 and l?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 609 or 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1570 and 6?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-15))\/(-4)*70\/308.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262, 2523, 3784, 5045, 6306?\nAnswer: 7567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101127 (base 10) to base 14.\nAnswer: 28bd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1827 (b) -7 (c) -2 (d) -2\/7 (e) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.9 - 15?\nAnswer: -43.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18 and -33\/1600.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -2*r = -5*y + o*r + 21, 0 = -y + 2*r + 9. Differentiate y + 0 - b**4 - 2 wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1035a01 (base 13) to base 14\nAnswer: -922c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 46221545?\nAnswer: -46221536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 84*(-45)\/(-16200)*10\/28\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12252.\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 153 + 75. Suppose -3*s + 41 + d = 0. What is the least common multiple of s and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 + r**2 + r. Let n(d) = 5*d. Let w be n(4). Let o = -21 + w. Determine a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**3 - l**2 - 3*l - 2. Calculate o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -3\/2*d**2 - 4*d - 89. Determine m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, -4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.495 - 0.567. Let k = 86.228 - j. Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.71? (a) -1 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94\/7? (a) -4 (b) 5 (c) 1519 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + (-16 - 15) + -136.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/5)\/t**(-14)*t**8*t*t**(-11))**20 assuming t is positive.\nAnswer: t**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (11 + -2)) + 6 - (-5 + -8) - -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 621. What are the prime factors of r?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 <= 552351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g - 12 = -5*k + 49*g, 0 = -k + 2*g + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 + 31 = 0. Calculate the lowest common multiple of f and 29\/5 + 1518\/(-10) + 152.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 = -948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -6)*(9 - (-884)\/(-96)). Put o, 0.4, -2\/813 in descending order.\nAnswer: o, 0.4, -2\/813","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -1) + -3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12988564477 and -1768.\nAnswer: 12988562709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/60 + 7*k**4\/24 + 5*k**3\/3 + k**2. Let v be a(-7). Let s be 4\/(-10) - (-34)\/v. Which is greater: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 151*v - 135. What is the hundreds digit of b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 21 = -181. Let y be (3\/(-22))\/((-24)\/j). Let o = y - 25\/44. Is o < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbqtqqttbbbtsbtsqst. What is prob of sequence bq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/8377 + -1063855\/100524. What is the common denominator of -23\/33 and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (53\/(-3))\/((-5)\/(-15)). Let u = o + 73. Calculate the smallest common multiple of 34 and u.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-3) - (-2)\/(-2). Let n(b) = -b**3 - b**t + 5*b**3 + 1 - b**2. Suppose -5*c + 16 = -5*w - 4, -7 = w - 2*c. What is n(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by ((-9)\/(-6))\/(1\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/16*4)\/((-60)\/134) and -85\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 5200527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - y**4 - 4*y**4 + (3*y**3 + 2*y**3 - 7*y**3)*(-3 + 3*y + 3))*(0 - y + 0) - 9*y**5 + 41 - 41.\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s - 6. Let l be c(5). Let d be l\/3*27\/18. Calculate the highest common factor of 119 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 1. Let s(t) = 18*t + 1. Let g(n) = -4*f(n) + s(n). Determine g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 - 181. Suppose -196 = -x*d - 10. What is the remainder when 153 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42453, 84898, 127341, 169788, 212245, 254718, 297213?\n\"Answer: i**3 - 7*i**2 + 42459*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -324345 + 1660607. Let x = h + -306262. What is x rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6631\/336 - 138\/7. Let u(o) be the third derivative of 0*o**3 + 1\/240*o**6 - o**2 + m*o**4 - 1\/60*o**5 + 0*o + 0. Factor u(p).\nAnswer: p*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 32*l + 4140. Let q be j(-128). Solve -23 = 3*f - q for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -5 - (-131 + 126).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)\/sqrt(81))\/sqrt(3)*6 + -4.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 301 + 4924 = -2*l, 1062 = -z + 3*l. Let p = -381 - z. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -17*q**7\/14 + 134*q**3\/3 + 167*q**2. Find the first derivative of m(s) wrt s.\nAnswer: -1020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 422*d**2\/3 + 9791*d\/3 - 3404.\nAnswer: -(d - 444)*(d - 1)*(d + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17781614 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -6)\/((-66)\/(-855) - (-4)\/30). Solve 0 = -4*b + b + 2*l + o, 3*b = 3*l + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359302.\nAnswer: 2, 179651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 386*z. Let r(y) = -12351*y. Determine 5*r(f) + 161*s(f).\nAnswer: 391*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n*r**2*u**2 - n*r**2*u + 3*n*r**2 + n*r*u + r**2 - 17*r*u**3 wrt u?\nAnswer: 12*n*r**2 - 102*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - (-162)\/(-5). Let v = -65\/2 - x. Let r = 2 - 3. Which is the biggest value? (a) v (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)*c)\/c)**(-42) assuming c is positive.\nAnswer: c**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*v - 158*v = -24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 91*r**2 + 90*r + 188. Calculate u(92).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21609, 43204, 64799, 86394, 107989, 129584?\n\"Answer: 21595*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*x**2 + x**2 + 15*x**4 + 1 + 8*x - 10*x - 75*x**4 as z*x + k + v*x**2 + o*x**4 + n*x**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00552246939 rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 1. Let f = 3 - 1. Give q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -11. Suppose 0 = -u + n + 1, -z = -2*u + n + 3. Calculate the common denominator of u + -2 - 107\/8 and -17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-5)\/(-105)*3. What is the second biggest value in x, -1\/2, 2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 8:13 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.4 (b) -4\/17 (c) 0.4 (d) -5 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4818.00015152 - 4818. What is n rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u - 289*u + 145*u + 4*z = -40, 9*z - 4 = 5*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 4*l - 4. Let h(i) = -i**3 - 5*i**2 - 5*i - 5. Let k(p) = -2*p + 3. Let n be k(-4). Let v = n - 7. Calculate v*h(y) - 5*b(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679204?\nAnswer: 2, 31, 29671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63342 and 182988?\nAnswer: 1646892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 6. Let u be h(1). Let k = u + 29. Solve 0 = 2*j - 3*l + 22, j - 2*l = l - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 39, 53?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 253647, 253639, 253605, 253533, 253411, 253227, 252969, 252625?\n\"Answer: -2*c**3 - c**2 + 9*c + 253641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/789004 and -53\/287.\nAnswer: 5523028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + c + 1216 = 8*a, -4*a - 4*c = -1196. Suppose 6*y + 1323 = -a. Is y less than -270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*b + 30 + 10, -5*s - 40 = -5*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = u - 152, 5*u + 42*b = 45*b + 811. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430749 - 259300. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2126142?\nAnswer: 2126137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -16 + 19 + 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*g - 17 = -3, -4*q = -g - 15. Suppose -2*y + q*d + 261 = 31, -5*y + 530 = -d. Suppose -4*i + y + 31 = 0. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.5 (b) 25.9 (c) -1525 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14 = s - 4, -4*v + 10 = -3*s. Suppose -14 = -s*n + 2*l, l = -2*n - 2*l - 6. Does 6 divide 2\/4*(15 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiui. What is prob of sequence uii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2\/23, 1 in ascending order.\nAnswer: -2, 2\/23, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -145.123?\nAnswer: 2031.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11239.\nAnswer: 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2 + 2*r - 2) - 4*r - 2*r + 4*r + 7*r + r - r + (-19 - 1 + 7)*(-3 - 2*r + 3).\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684220 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - 0.15989. Round x to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 4*o = -9*s + 2618, 3*s = 2*o + 3915. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 2\/7, -2\/9, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256718 is divided by 73.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819157 at most 1819157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 23205 - 43906 + 20701.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14245 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/(717310\/717321 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/360 - 7*s**5\/90 - 4*s**4\/9 + 64*s**3\/9 + 125*s**2. Determine a so that r(a) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199084.\nAnswer: 2, 3, 401, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -949257*b**3 + 88*b - 35483734?\nAnswer: -2847771*b**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**3 - 81057*w**2 - 540744*w - 324468 = 0. Calculate w.\nAnswer: -6, -2\/3, 9013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 231 = 8*b. Differentiate -b*w**4 - 35 + 559*w**3 - 559*w**3 wrt w.\nAnswer: -108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7895 - -15759. Suppose 4*x = -4*x + y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 2*k**3 - 5*k)*((5 - 4 + 1)*(2 + 0 - 1) + 3 - 1 - 1 - 8 - 5 + 1) to g*k + w*k**2 + b*k**3 + c and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 divided by 12?\nAnswer: 167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/24 and (-1)\/((-6)\/(-9)) - (-329)\/(-280).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 41675 - 52370 + 28525 = 0. Does 48 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:49 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*i**4 - 577 wrt i.\nAnswer: -248*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -29\/156777?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387 less than or equal to 3387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 705 - 71 - 64 - 155 + 38 to the form i + n*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4772*d**2\/5 - 19086*d\/5 + 8\/5 = 0?\nAnswer: -4, 1\/2386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-24))\/(1\/(-57)). Let r be v\/114 - (-67)\/6. What is the first derivative of 3*x**4 - 8 + r*x**4 - 6*x**4 wrt x?\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1432 + 7051?\nAnswer: 581b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 720\/11 - 2\/11*k**2 - 4\/11*k = 0?\nAnswer: -20, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 10, -25433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4094361, 4094362, 4094363, 4094364, 4094365, 4094366?\n\"Answer: v + 4094360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -321, -2.\nAnswer: -321, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8359, 8255, 8151, 8047, 7943, 7839?\n\"Answer: -104*g + 8463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-27676)*17 - (-5265)\/6290?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 323*n**2 - 1617*n + 12. Let r be i(5). Factor -90 + 147*u - 317\/5*u**r - 1\/5*u**4 + 33\/5*u**3.\nAnswer: -(u - 15)**2*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11596 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 7*b**2 - 3*b - 2. Let a be g(7). Suppose -2*y + a = -0*y. Is y - (0 - (2 - 1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/29 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from oootttoodqqtoooz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.72 - 1.8. Let s = o + 0.13. Let m = s + -0.05. Is m > 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -105, -131, -141, -129, -89, -15?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/((-198)\/27)*((-4)\/(-2) + -1). What is the closest to p in -248, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 3}. Give prob of sequence bb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m - 10. Let b be k(-7). Suppose -b = -2*x - 2*v, -x + v + v = -28. Suppose 9*n - 4*n - 900 = 0. Calculate the highest common factor of x and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1007, -977, -949, -923, -899?\n\"Answer: -h**2 + 33*h - 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -106\/17, 12, 0.5, 2 in decreasing order.\nAnswer: 12, 2, 0.5, -106\/17, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0.92. Let a = t - -0.999805. Round a to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 9*j - 5*j)*(-106*j**4 - 50*j**4 - 80*j**4).\nAnswer: 3776*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 57 = 4*y, -1963*y + 1952*y = -u + 93 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -704*o + 51. Let z be s(-6). Suppose -5*y = -5*g + z, 3*g + 19*y - 2567 = 24*y. What are the prime factors of g?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 + 12646*g\/9 + 12644\/9 = 0. Calculate g.\nAnswer: -6322, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 - 123*r\/5 + 133488\/5 = 0 for r.\nAnswer: -432, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24218.1 + -24218. Which is the closest to -1? (a) -562 (b) 0.5 (c) -2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9)*4\/(8\/(-3)). Is ((-68)\/(-6))\/(w - (-34)\/30) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.4. Let v = 8373\/134 + -125\/2. Let j = -197\/268 + v. Which is the third smallest value? (a) q (b) j (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*p + 2*s - 3*s, -2*p + 2*s = -14. Suppose 0 = o - 5*o. Let r be 20 + -20 + 308000\/(o - p). What is r rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 4. Suppose -w + 4*w - 2*j + 14 = 0, 0 = j + 2. List the prime factors of f(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 + 16*d**3 + 6*d**3 - 33*d**3 - 21*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47409093.\nAnswer: 3, 173, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**38*(i*i**4)\/(i\/(i**(-1\/4)\/i))*((i**(2\/3))**(16\/3))**(-16) assuming i is positive.\nAnswer: i**(-581\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5*j + 0 - 1\/2*j**2 - 1\/6*j**3. Give p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 27881*w**3 + 4*w**2 - 20*w + 94. Let z be f(5). Suppose 3*v - 4332779 = -g + z, v = 4*g + 2606008. What is v rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 109. Sort 4, 9, x.\nAnswer: x, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 56 + x + x)*(-54 - 122 - 52).\nAnswer: -456*x - 5928","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*a = -a - 9, -5*d = a + 3. Suppose -12*l + 13*l + 162 = d. Let u = 275 + l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11223 + 11338. What is the remainder when 231 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (sqrt(171) + sqrt(171) + (4*(-2*sqrt(171) + sqrt(171)) - sqrt(171)))))\/(sqrt(36)*3).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 16\/(-3). Suppose 130 = t*n - 625. Suppose -10*r = 21 - n. What is the greatest common factor of r and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 2*w, -3*j - 4*j + 10*j = -2*w - 3*w - 2*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 942, -3, 0.2, -75, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/9415 or 0?\nAnswer: -3\/9415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -4)*(0 - -1). Suppose -42 = -5*m + x*q, 2*m = -2*m - 5*q + 50. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 3*q**2 + 4*q**2)*(4 - 3 - 3) + (-1 + 2*q + 1)*(39*q - 10*q + 6*q).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-5))\/((-15)\/(-375)*-5). Solve 0 = -q*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/10)*j)**(3\/5))**8 assuming j is positive.\nAnswer: j**(132\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7297.523us?\nAnswer: 0.007297523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 17*f + 77 = 32*f + 11*z, 4*z = -f + 46 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -1)*63\/189)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117446 - -27?\nAnswer: -117417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134745\/56 - 19247\/8. Determine r so that 16\/7*r - t*r**3 + 2\/7*r**2 - 24\/7 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.62*-0.3.\nAnswer: 11.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67038 - 15552739\/232. Calculate the common denominator of -85\/1276 and q.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201002100 (base 3) in base 15?\nAnswer: -10bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -22*y. Let p(w) = 1 - 1 - w. Determine p(n(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (16 + 1 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - c**2. Let m(i) = 1315*i**3 - 12*i**2 + 4160. Let y(k) = m(k) - 12*v(k). Differentiate y(p) with respect to p.\nAnswer: 3873*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 29, 69, 145, 269?\n\"Answer: 2*z**3 + 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 35*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 + 23*s - 8. Determine v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14519?\nAnswer: 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h - 63*h = -155*h. Factor 0*g - 2\/5*g**2 - 1\/5*g**3 + h.\nAnswer: -g**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -986 - -991. What is the nearest to -0.1 in 20, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.32 + 2.1. Let a = -83.22 - d. Let m = a - -83.0203. What is m rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*h = -123*h + 399*h + 1360 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = -2*f + 22, -2*f - 20 = -4*x. List the prime factors of x\/14*(1 + 6\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3442920 - 10967*u**5 + 3442920 + 3367*u wrt u?\nAnswer: -219340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 7) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1285\/14 - 183\/2. Let n = -7 - -1. Let m = -7 - n. What is the closest to m in 3, z, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 90*j + 0*j**2 + j**2 - 90*j. Let h(m) = -18*m**2. Give h(z(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*n**2*t*v**2 + 7*g*n**2*t + 4*g*n**2 + g*n*v - g*t*v**2 + 2*g*t*v + 3*n**2*v + 2120*n*t*v**2 - v wrt v.\nAnswer: -2*g*n**2*t - 2*g*t + 4240*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1652928 and 288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/60 + g**4\/24 - 10*g**3\/3 - 1632*g**2. Factor q(o).\nAnswer: (o - 4)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o + 104. Let a be k(10). Calculate the highest common divisor of 44 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71788*a**3*s**2*u**3 + a**3*s*u**2 - 11*a**3*u**3 - a**2*s*u**2 - 484*a*u**3 + 6*s**2*u**3 wrt s.\nAnswer: 143576*a**3*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15133525.6 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 674439116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/195)\/(2\/(-5)*-1)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*u - 24 = 0, u = -39*o + 39*o - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/8)\/((980\/15)\/(-14)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 63 = 9*i - 4*d, 0 = -4*i + 2*d + 48. Let t be (2 - 3)*0\/2. Solve -m + 5*x + i = t, -4*m - 6 = x + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2. Let m be z(-2). Suppose 0 = m*j - 81 + 9. What is the remainder when 89 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1 + 10\/(-5). Let b = 11 - y. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 23*a**3 - 2*a**2 - 5*a + 4. Let r be j(1). Solve 3*w + 8 = -9*l + 11*l, -5*l + r = -2*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25936609?\nAnswer: 25936609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-34 + 490\/28).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and -49\/108794214.\nAnswer: 108794214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 24. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 3, a: 3}. Give prob of picking 1 l and 1 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p + 90*p**3 - 73*p - 91*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 65 - 65 - z**3)*(-5 + 18 + 8).\nAnswer: -21*z**3 - 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12243 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in -5, 5, -3052, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 22. Let t(w) = -w - 6. Let l be t(8). Let n(m) = m**3 + 14*m**2 - 52*m - 15. What is the lowest common multiple of c(l) and n(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*w + 2*w - 4246500000. What is w rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.858.\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.8*-323.\nAnswer: 1550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/(-40) + (-129)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 7387?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 - 16*u - 5. Give g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 9649375, -0.4?\nAnswer: 9649375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -12\/5 - 58\/5*q - 8\/5*q**3 - 42\/5*q**2 = 0.\nAnswer: -3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 990 + 990 - 345*c**3.\nAnswer: -345*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:12 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166806 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499247293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - 1. Let g be (-219)\/(-7) - 4\/14. Let z = g + -29. Let j be m(z). Solve 5*y + 0 = a + 23, 0 = j*y - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = 14*u - 2926. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (7 - -73) + -50.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 3. Let n = q + -2. Let s = 3.2 + -3.7. What is the biggest value in n, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/7 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v. Let q be w(18). What is the highest common factor of 45 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1967 - 1962. Let g = -28 - -30. Solve g*z = z + n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 2330594496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, s: 4, u: 5}. What is prob of sequence ssr?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a*a)\/(a*a**(2\/15))*(a\/a**(-1\/2)*a)**36)**(-41) assuming a is positive.\nAnswer: a**(-383801\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5\/2 - 823*k**4\/2 - 13515*k**3\/2 - 61729*k**2\/2 - 33341*k - 8820 = 0.\nAnswer: -7, -1, -2\/5, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, a: 2, w: 1, p: 1, s: 1}. What is prob of sequence pwn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8a7 (base 12) in base 7?\nAnswer: -105052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y = -5*h + 59*y - 22, -2*y - 1 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)*z*z*z**(-4))\/(((z\/(z\/(z*z**(1\/3))))\/z)\/z**(-2)))**(3\/11) assuming z is positive.\nAnswer: z**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -4*a + 60. Let p be 0\/(1 - a - 3). Let c = -3 + 4. Solve y = c - p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3168 divided by -5.\nAnswer: -3168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - (-1 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9973 + -9936. Calculate the highest common factor of s and 3959.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 768?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/85729784 and -19\/3204.\nAnswer: 771568056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + y + 1. Let g be i(-1). Let j be ((-16)\/12)\/((-2)\/3). Suppose 42 = -j*o + g*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -991, -2637, -4991, -8047, -11799?\nAnswer: -16241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*s + 12, -s + 8 = y + y. Suppose -6*c + 4 = -2*c. Suppose -29 + c = -s*z. Solve -z = 2*o + 5*n, 4*o - 5*n - 37 + 6 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5575 - -5?\nAnswer: -5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 2*w**3 + 2*w + 23*w**3 + 2*w**3 + w.\nAnswer: 27*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19302*a**3*y**3 + 12*a**3 + 495895*y**3 wrt a.\nAnswer: -57906*a**2*y**3 + 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 0, -2*i = -2*f - 3*i + 33978. Let p = -407891\/24 + f. Find the common denominator of 2 - (-6)\/((-180)\/157) and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.045324307 - 1.968385.\nAnswer: -2.013709307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 - 7544*b**4 - 459690*b**3 + 28233604*b**2 - 437056088*b + 2137274160 = 0. Calculate b.\nAnswer: -3709, -105, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 88066?\nAnswer: 8806a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -44*z + 8. Is 12 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 - 0. Let v = h - -2.8. What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 - s + 4. Let v = 81 - 86. Let q be -1*1 - 4\/(20\/v). Is x(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 60*r**6 + 4*r**5 - 4*r**4 + 47*r**2. Let k(y) = y**6 + y**5 - y**4. Let a(o) = 4*k(o) - l(o). What is the third derivative of a(i) wrt i?\nAnswer: -6720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 1, p: 1, w: 2}. What is prob of picking 1 u and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.545999ug in nanograms?\nAnswer: 3545.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011010000 (base 2) to base 10.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 9*f + 42. Calculate the least common multiple of d(-12) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -150889 and -150892 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 86264020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 12?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2)*(-6)\/(-12) - -2. Let z be -7 - c\/(-1) - -10. Let k = 20 - z. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 77. Let l be w(-17). Determine r so that 8*r**4 - l*r**2 + r**3 + 10*r**3 - 4*r**5 + 6*r**3 - 13*r**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85\/394 - -16160\/4137. What is the common denominator of h and -32\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*y + 3*y. Suppose -60 = -5*a + y*h, 5 = -h - 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a**(-1\/3))\/(a\/((a*((a*a*a**(-1)*a*a*a*a*a)\/a*a)\/a)\/a))**(3\/26))**49 assuming a is positive.\nAnswer: a**(12985\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + 1 - (4955 + -4971).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 0)*(15\/(-5))\/9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 6252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 2. Determine o(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -110765, -221531, -332297, -443063, -553829, -664595?\n\"Answer: -110766*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.2753 to one dp.\nAnswer: 42.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 - 11*y - 5. Let f = -50 + 45. Let d be g(f). Differentiate -6 - 10*a + d*a + a - 3 wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1467758647 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c + 141. Let p(w) = 20*w - 142. Let u(r) = 4*p(r) + 5*x(r). Let h be u(12). Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a factor of 3453693886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435414 - 410?\nAnswer: 435004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 54. Solve 0 = 5*q + 4*u - 20, x*q + 2*u - 16 = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnninini. Give prob of sequence nn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97508800?\nAnswer: 2, 5, 60943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19608302 - 4?\nAnswer: -19608306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose -l*u = -9*u + 24. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*y**4 - y**4 - 7*y + 8*y as q*y**4 + h*y + p*y**3 + o*y**2 + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + o - 4*o + 1. Suppose -3*u = 4*d - 4, 2*u - 1053 = -1053. What is g(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 1. Let o be c(-1). Suppose y - 45 = -3*y + 5*t, -t = -y + 10. Suppose -8 = 3*h - y*h. Solve h*n = 3 + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 11*q + 15. Calculate k(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and 705374.4313.\nAnswer: 705391.4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7432 + 30708. Suppose -7694 = -6*r + t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226667688 divided by 664?\nAnswer: -341367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-20))\/((-4)\/30). Let w = -9 + d. Let g(j) = -4*j + 4*j**2 + 0*j - 3*j**2. Calculate g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064234 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:46 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -66 + 0*l**2 - 14*l**2 + 11*l + 57. Let t(v) = 1 + 2 - 4*v + 5*v**2 - 7 + 7. Give -4*q(b) - 11*t(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 11725?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -795*j + 12751. What is x(16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 69*l - 5. Let u(p) = 35*p - 2. Let r(j) = 2*o(j) - 5*u(j). Let i(s) = -s**2. Give i(r(t)).\nAnswer: -1369*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2821195 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dovovd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 8*z + 5. Let b = 384 - 392. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbmieeaibiiieeed. What is prob of sequence be?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36411927 divided by 5?\nAnswer: -36411927\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20873882 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*h + 96. Suppose h*w = 10*w - 36. Let v be 1\/(-2) - 99\/w. Solve 1 + 9 = -v*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/4 + 21\/6. Suppose o*d - 17028 + 108238 = -5*c, 3*c = -6. Round d to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*u - 410*u + 3717 = 0. Let p = 416 - u. Solve -10*x + 7*x = -p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7 = -5*r + 3, 15 = 3*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-804)\/84 - -10 - (-16)\/(-70). Solve 0*k + 0*k**2 - 3\/5*k**4 + 0 + 2\/5*k**3 + w*k**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 184\/(-32) - 6\/(-2) and 9\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -101*s**3\/3 - 247*s**2\/2 + 304. Find the second derivative of d(b) wrt b.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 109780850962\nAnswer: 109780850948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 134143\/617564 + 6\/183?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 1. Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + z**2 + 0*z**2)*(-2*z**3 + 3*z**2 + 0 + 0 + (-2*z**2 - z**2 + 0*z**2)*(0 + z + 0)).\nAnswer: -30*z**5 + 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2277735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 19*i**2 + 4*i + 136. Determine a(18).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38 and -344632686.\nAnswer: -344632724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**3)**35*(n**3)**(-1\/12) assuming n is positive.\nAnswer: n**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -79319\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31224151907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372668204?\nAnswer: 2, 19, 67, 163, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a**(-4\/9)*(a\/(a\/(a*a\/(a*a**(-1\/10)*a*a)*a))*a)\/a**6 assuming a is positive.\nAnswer: a**(-1201\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6009*m - 1592*m - 70008 = 164863 + 96404 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111101110100111101100010 - 10?\nAnswer: 1001111101110100111101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l)**(5\/13)\/(l**2*l*l*((l\/(l*l\/(l\/(l\/l**(-3))))*l)\/l*l*l)\/l)*(l*l*l**(1\/4)*l)**50\/(l**(2\/5))**18 assuming l is positive.\nAnswer: l**(20209\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -6 + 12 + -4 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 527683173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -23. Let i(j) = -j**3 + 10*j**2 - j + 14. Let x be i(z). Which is the third smallest value? (a) x (b) -1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74801712 divided by 4675107\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1870 - 22363\/12. Find the common denominator of r and -2 + 2 + 121\/(-366).\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, -0.4, 41?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81180?\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33403 divided by -637\nAnswer: 33403\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + n - 2 - 6*n + 0*n + 10. Calculate r(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.815466mm in nanometers?\nAnswer: 9815466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 12, t: 3}. What is prob of sequence tr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -200. Let n = w - 143. Let r = n - -46. Find the common denominator of r and 5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2*(7 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1505*v**2 + 102*v + 18. Let w(j) = 1506*j**2 + 85*j + 15. Calculate 5*q(k) - 6*w(k).\nAnswer: -1511*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/7)\/(-3 - (-176)\/56). Let z be (d\/(-2))\/(-1) + (-3)\/(-6). Solve v = -v + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511880.\nAnswer: 2, 5, 7, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21*q**2. Let a(k) = -246056*k**2 + k - 7. Determine a(w(g)).\nAnswer: -108510696*g**4 + 21*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3074 divide 371906065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-19) - 0) + 0. Let s = 11 + -8. Put s, t, -1\/6 in descending order.\nAnswer: s, t, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(((-20)\/8)\/(-5)). Sort 6, -1, w in descending order.\nAnswer: 6, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**3 - 2*r**2 + 2*r**2)*(-1 + 3 - 4) + (-r - 1 + 1)*(-r**2 + 3*r**2 - r**2).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -24*h + 163. Let f be v(11). Let o = 519 + f. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*r**2 + 1936*r + 2028 = 0.\nAnswer: -3, -169\/105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2 - 2*k**2 - 4\/3*k**3 - 1\/4*k**4 - 4*k. What is s(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2 + 5. Suppose 4 = m*d + 13, -2*r = d - 3. Suppose 30 = r*u + 3. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*r + 3162 = 0, -2*r + 7*r = -5. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130.439 + -0.2\nAnswer: 130.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/7)\/y))**(-13\/4)\/(y\/(y**(-1\/3)\/y)*y*y**(2\/9)) assuming y is positive.\nAnswer: y**(-575\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away 7.418?\nAnswer: -6.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 863892180 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, 153, 843, 2179, 4377, 7653, 12223?\nAnswer: 18303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 266220 and 60997652?\nAnswer: 60731432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 201375*a. Let o(v) = 1395*v**2. Calculate o(t(k)).\nAnswer: 56569887421875*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 22343205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 - ((-15)\/(-20) - 22\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2. Let r = 85 + -45. Let b = 47 - r. Let n(t) = -t + 6*t + b*t. Determine n(i(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/849 and 53\/1815?\nAnswer: 513645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 170402364 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104061498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c = -112*c - 64*c - 50*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66304 - -330134\/5. Is -1\/3 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 7*l**3 - 16*l**2 - 12*l.\nAnswer: -l*(l + 2)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15073 is divided by 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4*l + 8. Let s be n(2). Let d be 30\/(-16)*s - 3\/2. Which is smaller: -17 or d?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 16*p = 0. Calculate the remainder when 17 + 8\/4 + p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d. Let j(v) be the first derivative of 3*v**2\/2 - 3. Determine j(a(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-20)\/224) - (-4)\/(-20). Let b = 1 - -2. Suppose 0 - b = -3*a. Solve -3*q - a = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1503548?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*p = 17, -8*a - 8*a = -13*a + p - 31 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 - 103973*t**2\/2 + 207949*t\/2 - 103975\/2.\nAnswer: -(t - 1)**2*(t + 103975)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -0.2, -0.3, 3, 5, 17\/5234, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 150. Let b be (r\/20)\/((-3)\/24). Does 10 divide 10 + (7 - (b + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**3 - 21*b. Let d(p) = 10*p**3 - 22*p. Let v(c) = -5*d(c) + 6*y(c). Factor v(i).\nAnswer: 4*i*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 2*u**3 - 21*u**3 - 4*u**2 + 3*u**3 to q*u + k*u**3 + a*u**2 + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855623 is divided by 427755?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -122, -935, -3178, -7577, -14858, -25747, -40970?\n\"Answer: -121*f**3 + 11*f**2 + f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f + 17*f + 5*f**2 + 5 - 5*f. Let p(g) = -2*g**2 - g - 2. Let m be (1 - (-2)\/(-3))*-9. Suppose -6*k - 40 = -k. Determine k*p(d) + m*s(d).\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - b**2 + 5*b - 2. Let x(p) = 498*p + 993. Let f be x(-2). Let n(i) = 3*i**3 + 2*i**2 - 4*i + 2. Determine f*a(z) - 4*n(z).\nAnswer: -3*z**3 - 5*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 578*g**2 + 4*g + 20. Let u(s) = -2*s. Determine u(x(y)).\nAnswer: -1156*y**2 - 8*y - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 12) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - k = 89, -5*w + 6*k - 455 = k. Let d(h) = 5*h**2 + 3*h - 3. Calculate the lowest common multiple of d(-3) and (-210)\/w + 1\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 5:47 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**2 - 1\/12*j**4 + 0 + 2*j - 2\/3*j**3. Let d(i) = i**2 + 7*i + 4. What is -3*d(s) - 5*v(s)?\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 26*j - 81. Solve -j*h + 35 = -5*p, p - 2*h + 28 = 3*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + j + 27 = 6*h, -3*h - 4*j = -7. Suppose -h*v - 18655 = -4*w + 2*w, 3*w - v = 28015. What is w rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.6 and 0.091562.\nAnswer: 0.5127472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u - 1. Let x be r(-2). Let q = x + -2. Sort 2, q, -1.\nAnswer: -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.74, 0.2, -20.8, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 88200 = -37*o. Calculate the highest common divisor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 3. Let m = 0.2 - 0.1. Which is the closest to m? (a) -3 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 27 = -25. Let m = -1 - x. Suppose -10*z + 16*z = m. Solve -z = q, 5*r - 4*q = -0*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 1397, 2072, 2723, 3344, 3929?\nAnswer: 4472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 70773*q**3 + 283105*q**2 + 212331*q.\nAnswer: -q*(q - 70777)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 6)*(-2*h**3 + 3*h**3 - 2*h**3)*(1 - 2 - 1).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -4*b - 5*h, -104 = 4*b - h + 3*h. Let a be (-4 + 5)\/((-2)\/28). Let q = a - b. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = -4*f - 3, 0 = -5*q + 3*f - 2. Suppose -4*w + 8*w = 3*h + 422, 4*w - 424 = q*h. List the prime factors of w.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k**(1\/20))\/((k*(k**(-1\/4)\/k)\/k)\/(k*k*k*k**(1\/18)*k)) assuming k is positive.\nAnswer: k**(646\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 4004956*k**2 + 248318804*k - 3849001044.\nAnswer: -4*(k - 31)**2*(k + 1001301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 5*s + 4, -5*l + 10 = s. Suppose -4*i = -l*z - 8, 2*z - 7 = -5*i + 21. Solve -2 - z = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4947071 and 438736.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 838, 1860, 3538, 5866, 8838, 12448, 16690?\n\"Answer: -h**3 + 334*h**2 + 27*h + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 186900019 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 8*n**2 + 3*n - 5. Let b be q(-8). Let x = b - -55. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12689*d**5 - 2*d**2 + 4*d - 6 wrt d?\nAnswer: 761340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-75) + 0)*55\/1815*-3?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7)\/((-12 - -13) + 0 + 3 + -5) and 305.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - 2*h + 7*h)*(-2*h**2 - 103 + 202 - 107) to the form y*h**3 + p + m*h**2 + f*h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:24 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/104)\/7)\/(60 + 106711\/(-1780)).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.45 to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 4, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xehhhehxhahxixihie. What is prob of picking 1 e and 1 x?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43551152502 + 3?\nAnswer: -43551152455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*-1)\/(sqrt(7) - sqrt(7)*-1*1) + -5.\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45570 and 83545.\nAnswer: 501270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*y - 11 - 16, -2 = -2*w + 2*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15890 + 15895. What is the closest to -0.1 in 3\/1760, -0.5, v?\nAnswer: 3\/1760","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/29106 and -169\/798.\nAnswer: 553014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -674*m - 5378. What is k(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470.67372 minutes to days.\nAnswer: 0.32685675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848 = 48*a + 80. Let y be ((-4)\/10)\/(1\/(-20)). Let b = a - y. What is the remainder when 36 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((6 + 0)\/2 + -3)\/(-2). Factor l - 2\/3*j**2 - 2\/3*j.\nAnswer: -2*j*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 372327788 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222131 - -12200323?\nAnswer: 11312132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 813069221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -1014*q + 1020*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14109499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 7*g + 69. Let k be y(13). Is k equal to -114\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1, 1\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629485 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*12*8\/36. Suppose 0*g + d = g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, -71, 5, 213, 11 in increasing order.\nAnswer: -71, -3, -1, 0, 5, 11, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1402 - 133. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(-8 + 7). Let u(x) be the second derivative of x**4\/6 + x**3\/2 + 3*x**2\/2 + 2*x. Let q = -4 - -1. Let o(h) = h + 1. Calculate q*o(z) + r*u(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4515 + 4515 - 1542*d**2 - 1092*d**2.\nAnswer: -2634*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*1 - 666\/(-148).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-15)*(-24)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/9 - 2744168*m\/9 + 914723\/3 = 0. What is m?\nAnswer: -2744169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) - -2 - -2. Suppose -b = 3*w - w - 6, -3 = -g*w. Calculate the smallest common multiple of (8\/(-10))\/(2\/(-10)) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6177 and -0.0792?\nAnswer: -0.04892184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maaammmaaaalammmaaa. What is prob of picking 1 l and 3 m?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - w + 287 = 5*d, -w + 143 = 2*d. Suppose -d = -3*p - p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*14\/(-147)*3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 864240247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence casa when four letters picked without replacement from ialqiqqqslcsqqqc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 - 6 + 2 + 2 + 0 - 4 + 6 + 0 - 3 + 4 + (6 - 4 - 3)*(2 + 2 - 3) - 2 + 3 - 3 + 1 - 2 + 2)*(-5*p**2 + 7*p**2 + 12*p**2).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898.4044 months in centuries?\nAnswer: 2.415337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339\/595 - 1\/595. Put -1\/5, -3\/7, -2, m in descending order.\nAnswer: -1\/5, -3\/7, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(187) - sqrt(187))*-2)\/(((sqrt(99) + sqrt(99)*-1 - sqrt(99))*6 - sqrt(99)) + sqrt(99) + sqrt(99)).\nAnswer: -8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 21*y + 42. Let k(h) = -h**2 + 4*h + 2. Let w be k(-3). Let r be v(w). Is 3 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37432\/45 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36270119 + 36270119 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) 2\/17 (c) 53 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184408 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 708*(-1)\/((-20)\/55). Let f = -980 + k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 z when three letters picked without replacement from ggggglgylzggz.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19900233 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215340 is divided by 3845.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Which is greater: 8450705 or 8450699?\nAnswer: 8450705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 36174*h**2 - 17*h + 59. Let d be c(9). Round d to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 6304*z**2 + 31436*z + 25136.\nAnswer: 4*(z + 1)*(z + 4)*(z + 1571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 21520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10 (b) -5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83*m**3*x + 157*m**3 + 140*m**2 - 129*x wrt x?\nAnswer: -83*m**3 - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 2*n**4 - 8*n**4)*(12*n - 12*n + 28*n)*(3 - 2 + 0).\nAnswer: -308*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34508 is divided by 53.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -50. List the prime factors of (v\/8)\/((-1)\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let g be b(-1). Let k = 1 - g. Suppose -f = k*f - 40. Solve 5*a + z - f = 0, 4*a - 7 = -3*z - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/5)\/(l**(-2)*l)*(l**3)**(1\/88) assuming l is positive.\nAnswer: l**(191\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, -3, 22 in increasing order.\nAnswer: -38, -3, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93296.64km in millimeters?\nAnswer: 93296640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535062727.\nAnswer: 535062727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192719 is divided by 17512?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((3 - -1) + 10 + -18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2\/3*r**2 + 5 + 8\/9*r**3 - 4*r - 9\/20*r**5 - 5\/12*r**4. Let a(g) be the first derivative of s(g). Factor a(b).\nAnswer: -(b + 1)*(3*b - 2)*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26296, 26311, 26326?\nAnswer: 26341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 - 3*v**2 + 3. Let g(o) = -10*o**3 - 5*o**2 + 4. What is 3*g(x) - 4*r(x)?\nAnswer: 14*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 712*m + 1420 = 0. What is m?\nAnswer: 2, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + -2) + 4.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 13 = 0. Let t = m - 13. Suppose -4*i + 225 + 195 = t. What is the highest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.05 (c) -1\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8409 + 1622935\/193. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2559, 5114, 7669?\n\"Answer: 2555*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**6*z**3 - 53*d**6*z - 22*d**2*z**3 + 2*d**2*z + 5*d**2 + d*z**3 wrt d.\nAnswer: -120*d**3*z**3 - 6360*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011110 + -100001000001101?\nAnswer: -100001111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -114. Let m be 5\/20 - w\/(-8). Differentiate 4 - 7*u**3 - 4*u**3 + m*u**3 with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 210*j**2 - 33884*j + 11106. What is d(-317)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-82190)\/(-35). Let g = a - -1168. What is the common denominator of g and 85\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 297*k + 890\/3.\nAnswer: (k + 1)*(k + 890)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 4 (b) -1\/3 (c) 141 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**3 - 8565*p**2 + 25660*p - 17100 = 0?\nAnswer: 1, 2, 1710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - -3*sqrt(72)) + sqrt(2))*-3)**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 913352 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 2*m. Let s(l) = 4*l**2 - 12*l - 73. Determine -6*g(t) - s(t).\nAnswer: 2*t**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10110 + 131213?\nAnswer: 201323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/(-10)) + -48 + (-3168)\/(-36).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:53 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 8*i**2 - 8*i**2 + (-i - 3*i + 5*i)*(3*i + 0*i - 4*i)*(-3*i + 18*i - 3*i) + i**3 + 0*i**3 + 3*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 21?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 61 - (32 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8202692 - 18787692. Round q to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4 - 5 + 2*o - o + 6. Suppose -14 = t + 2*i, 0*i - 33 = 2*t + 5*i. What is the units digit of x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6279243 and 7533.\nAnswer: 6286776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8. Let s be j(0). Let m be s\/(-3)*3\/2. Let o be m\/12 - 626\/(-6). Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31568\/489 + -18\/163. Let s = 64 + v. Which is the second smallest value? (a) 2\/3 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b. Let y(s) = -113 - 120 + 10*s**2 + 233. Give y(i(d)).\nAnswer: 250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/12 + 1910*w**2. Let o(x) = -1295*x. Calculate q(o(j)).\nAnswer: 8385125*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-120)\/1260 + (-1138)\/(-42) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 502. Let j(q) = -2*q - 502. Let a(x) = 5*c(x) + 4*j(x). Is a(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Suppose 0 = -2*d + 10, s + d + 0 = x. Let i = 6 - s. Solve 3 = -4*g + n, 3*n + 0 = -4*g + i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 24 = -p, 0*p = 4*p + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from wwhwrrrwrrrrrhhrh?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116928, -116917, -116890, -116841, -116764, -116653, -116502?\n\"Answer: b**3 + 2*b**2 - 2*b - 116929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659*j = -517*j - 9663 - 13177 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/25)\/h*h)**(-2)\/((h*h\/((h*h**13\/h)\/h*h))\/(h\/h**(-2))) assuming h is positive.\nAnswer: h**(304\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 18*a - 28. Factor 4\/5*v**2 - 6\/5*v**4 - 2\/5*v**5 + 2\/5 - 4\/5*v**a + 6\/5*v.\nAnswer: -2*(v - 1)*(v + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/121 and 5\/(-130)*4 + 2848\/(-5148).\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - s + 1. Let u be q(0). Suppose -2*n = -5 + u. Suppose -1 + 3 = g. Solve -h + g = -3*l - 2*l, 11 = -n*l - 3*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2483.8.\nAnswer: 4967.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 654390073.8 to the nearest 1000000.\nAnswer: 654000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 67056c2?\nAnswer: 67056c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8086\/8 + -8*(-4)\/128.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 7*y + 10. Let b be u(-7). Suppose j - 31 + 4 = -t, 5*j = -b. Solve -4*p + p - 5*i + t = 0, 5*p = 3*i + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -131. Let m(n) be the first derivative of 0*n - 1\/2*n**4 + 0*n**b + 1\/3*n**3 + 1\/5*n**5 - 3. Factor m(q).\nAnswer: q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 + 6*r**2 - 26*r + 234. Let o be q(5). Sort o, 6, -2.\nAnswer: o, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6494 + 6514. What is the remainder when 1173 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04351 or 188319?\nAnswer: 0.04351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*w - 16. Solve -k - w*k - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203138 - 135219. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:11 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t**4\/3 - 314*t**3\/3 - 68*t**2 + 136*t\/3 - 16\/3 = 0. Calculate t.\nAnswer: -2, 2\/11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1697 - 1692. Solve -5*g = -5*h - i, -g - h = -4 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34437254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, 269, -5, -3 in decreasing order.\nAnswer: 269, 17, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -68. Suppose 2*w - 51 + z = 0. Suppose 0 = 2*u - w + 4. Solve -n = -2*q - 3, 2*n + 11 = -n - u*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -603363 (base 7) to base 9.\nAnswer: -165003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04252 and 0.1101.\nAnswer: -0.004681452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 41 - (-138)\/26?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15707.\nAnswer: 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62890 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:28 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 461*z**2 + 1349*z - 114. Calculate f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/39)\/((7\/(-9))\/(5\/(-15)))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 105*m + 131*m = 480 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = u + 5, -7 = 16*s - 11*s + 4*u. Let k(j) = -9 + 6 - s + 5. Let t(b) = -b**3 - 3*b + 4. Calculate -4*k(x) + t(x).\nAnswer: -x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 156. Let z = x + 65. Suppose -3*g + 104 = g. What is the greatest common factor of g and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 9 = n - 0*y, -15 = -5*y. Let r(f) = -f**3 + 20*f**2 + 22*f - 11. Let t be r(n). Let v(z) = 9*z + 46. Is 30 a factor of v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103630 (base 7) to base 6.\nAnswer: 220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 4:52 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**2 - 35*f. Let c(p) = -p. Let d(v) = 30*c(v) - l(v). What is the second derivative of d(r) wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 31\/1559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.711276977 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/12 + 17*x**3\/6 - 21*x**2\/2 - 15*x. Calculate the remainder when q(15) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 23)*((3 - 3 + 2*v)*(-3 + 0 + 1) + 0*v + v - 2*v)*(6*v + 35 - 35).\nAnswer: 810*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 22*i + 106. Let c be k(26). Suppose -c*l - 5*u + 22097 = l, -3*l - 4*u = -22099. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (2 + -3 + 1). Suppose c + 4*q - 11 - 1 = n, -4*c - 3*q + 9 = 0. Suppose -528 = -3*p + 5*z + 245, c = p - z - 255. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2*u = -16*h + 16781, 0 = 5*u + 10. List the prime factors of h.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 3300*v**2 - 2*v + 3300.\nAnswer: 2*(v - 1650)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)\/(sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2))*5 + sqrt(2) + sqrt(2) - sqrt(2))*-5)**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 962 (base 11) to base 14\nAnswer: 5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-20))\/((-24)\/40860). Let y = 1364 - g. Factor -7\/3*o + 1\/3*o**3 - 2\/3*o**y - 4\/3.\nAnswer: (o - 4)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26672856 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 249*g**2 + 14*g. Let f be r(6). Let c = 17472 - f. Let h = c + 4576. What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3794 and 385.\nAnswer: 208670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 346, 347, 348, 349, 350?\n\"Answer: a + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -836, -5, -0.1, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -1481959.\nAnswer: -1481959.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (770\/4 - 3)*12. Suppose -13*z + n = -10*z. Suppose -3*d + z = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3*c**4\/14 - 10*c**3\/21 - 2*c**2\/7 + 46. Find l, given that z(l) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from {n: 1, b: 3, e: 1, w: 3, g: 1, o: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4684.41656 to the nearest 10.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 + 102*t + 44. Give c(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9377588*x**2 - 25695322*x?\nAnswer: 18755176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 1738*v - 1742*v - 5*j, -100 = -5*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15051*y**3 + 1710*y**3 + 21380*y**3.\nAnswer: 38141*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5 - 1 - 32*h + 25*h - 4. Let x(t) = -15*t**2. Calculate x(k(w)).\nAnswer: -735*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775857 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 3110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4db38f (base 16) to base 4.\nAnswer: 103123032033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-36) + 179\/(-3). Which is smaller: r or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428 and 4624.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 174?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76467017 to the nearest integer?\nAnswer: 8745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/9407 + 1514519\/37628. Let o = p + -467\/12. Determine u, given that -1\/3*u**2 + 4\/3*u - o = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 4*y**2 + 19*y**2 - 2*y - 5*y**2 wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 4*x - 9. Let m = 14 - 9. Let p be u(m). What is the units digit of (-16 - -2)*((-16)\/(-2))\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 x when four letters picked without replacement from qqqqqqqqqbqqxxqx.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - 117) + -10 + -24 - (-1 - -13)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -41, -2, -5\/2, 3\/8 in increasing order.\nAnswer: -41, -7, -5\/2, -2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k + 375455*a - 375451*a = -24, 4*k + 20 = 3*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -26*t - 29. Let p be q(-5). Let n = p + -97. List the prime factors of (9 - n) + -1 + 215.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-6 - 0) - 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -652?\nAnswer: -107\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7510 rounded to the nearest 100?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/((-3)\/(-15)))\/(-1). Let s(a) = -2*a - a + r*a. Let n(u) = 7*u**2. Determine n(s(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1 - (2 - (-2 - -5)). Suppose w*s + 4*a - 120 = 0, -a = -6*a + 25. What is the highest common divisor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10939.7383 to the nearest integer.\nAnswer: 10940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchcwcnjjcn. What is prob of picking 1 c and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1139344, -1139395, -1139540, -1139827, -1140304?\n\"Answer: -8*g**3 + g**2 + 2*g - 1139339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 151.5. Let s = 2.9 - -0.1. Which is the second smallest value? (a) i (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 + 4*k + 4. Let q(b) = -99*b**3 - 81*b - 81. Give -81*h(l) - 4*q(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 2. Calculate the least common multiple of 9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5415 + -3588. Suppose 0*w - m = -7*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -920\/3171 + 2\/453. What is the third biggest value in -1, b, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 566 * -18863\nAnswer: -10676458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/3 + 5*s**2 - s + 33. Let h = -5 - 1. Let c be l(h). Sort -5, 2, c in increasing order.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**4 - m**2 - 6*m**4 + 2*m - m**3 + 2*m**4 to the form a*m**2 + c*m + l + j*m**4 + b*m**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, -0.06963, 2, -17\/8 in ascending order.\nAnswer: -17\/8, -0.5, -0.2, -0.06963, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -0, -3*x + 18 = 3*s. Factor -l**2 - 6 + 3*l**x + 136*l - 132*l.\nAnswer: 2*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8441, 6, -2\/7, 0 in increasing order.\nAnswer: -2\/7, 0, 6, 8441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*t + 7*t + 2*t - 27*t + 1 + 3*t**3 in the form z*t + y + v*t**3 + c*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (264\/63 + -4)*3\/(-2). What is the biggest value in 1, -0.3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 2, h: 1, g: 1, d: 2}. What is prob of sequence hg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.16 - 1.06. Let f = 113.8 - 114. Which is the nearest to w? (a) -1\/10 (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 + -0.01. Let l = 0.2 + t. Let m be ((-25)\/(-40))\/((-1)\/2). Which is the second biggest value? (a) -3 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:07 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 59.5. Let q be ((-2)\/(-12))\/(1\/(-4)). Let p(b) = -b**2 + 8*b - 5. Let i be p(7). What is the closest to -0.2 in i, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 6*o**2 - 25*o + 55. Calculate g(9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*y + 8 = 0, 2*k + y + 505 = 536 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 4 (c) 98 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-1 - (-85)\/15). Is s <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 13*b + 15. Let g be p(13). Let f be (-6)\/g + (60\/25 - -3). Let 1 - f + 4*k**2 - 7*k + 3*k - 4 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685033 is divided by 210621?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/17 (b) -0.4 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 1451652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*q + 225 - 60, 0 = o. Suppose 5*p + 1 - 16 = 0. Suppose 3*d = p*s - 2*d - q, -5*s + 4*d + 70 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 v when four letters picked without replacement from xjvivjyxxxxxv.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693327?\nAnswer: 3, 231109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**4 + 4*z + 4*z**3 + 2*z**3 + 2 + 3*z**2 + 2*z**4 + 0*z**3. Let s(p) = -p**4 - p**3 + p**2 - p - 1. Let b(r) = -n(r) - 2*s(r). Factor b(c).\nAnswer: -c*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 2160*z**2 - 509442*z + 511600.\nAnswer: 2*(z - 1279)*(z - 1)*(z + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(325) - (3 + 4*sqrt(325))) + 0.\nAnswer: -15*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -286, -280, -274, -268, -262?\n\"Answer: 6*i - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - 32. Let s = 2041 - b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/((-6)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.4156g in tonnes?\nAnswer: 0.0004774156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*3*3)\/sqrt(4))\/(sqrt(225)*-1 - -2*sqrt(1089)))**2.\nAnswer: 162\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + u - 2, -x + 2 + 0 = -u. Let k = -28 - -22. Let p = x - k. Calculate the lowest common multiple of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 288*m**3 + 9*m**2 - m - 10. Let c be v(15). What is c rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*p**3*w + 180*p**3 - w wrt w.\nAnswer: 35*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.09 * -0.72\nAnswer: -2.2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b = 17999 - 68489. Is b a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100020212002102 + -1?\nAnswer: 2100020212002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*n - 2487 = -3*n, d + 4*n = 510. Let j = 2291 + d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 5*f - 3 - 7*f - f. Let x(s) = -s + 6. Let g be x(3). Let z(n) = 2*n + 3. Give g*z(v) + 2*j(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/2 + 2051*t**3\/2 - 228617*t**2\/2 - 5988911*t\/2 - 2879121 = 0. What is t?\nAnswer: -21, -1, 142, 1931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/(75\/6) + (-3576)\/560 and 1452\/(-30)*2\/16.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a - 360*a = -404. Let o = 1 - 0. Let f(b) = b**3 + 2*b - 1. Let k be f(o). Sort k, -4, -1, a.\nAnswer: -4, -1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - 1 - (15 - (-3 - -21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502.6 + -13661370.\nAnswer: -13660867.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 x(y) = -219 + 223 + 5*y - 2*y - 2*y. Let m = -1 + -2. Give x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/960036 and 57\/448?\nAnswer: 15360576","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1892 - 52963\/28. What is the common denominator of 2 + -21 + 2052\/126 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psuskskuprpukuppup. Give prob of picking 1 k and 1 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4464257746.\nAnswer: 2, 13, 19, 9036959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzgr when four letters picked without replacement from bigiizybgrybygybryii?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Let i(w) = -w**2 + 5*w + 8. Let m be i(6). Let z(l) = -3*l + 2 + j*l**m - 2. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451234762 and 2090?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-48)*((-96)\/9)\/(-2 - 2). Factor 61\/2*o + 29\/2*o**2 + 31\/2 - u*o**3.\nAnswer: -(o - 31)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.238 + 14\nAnswer: 14.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18\/11 (b) -1 (c) -2\/17 (d) -4 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - 357 = -p, -39*n - 3*p - 13 - 5 = -42*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -87, -145, -201, -255, -307?\n\"Answer: a**2 - 63*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (677534\/29601)\/(252\/(-297) - (-2)\/11)?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240*b + 2237*b + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 7*y**2 - 2. Let q be n(-5). Is (-1 - 0)\/(1\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*h - 107*h + h**2 + 4407 + 334*h - 115*h in the form v*h + c + d*h**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22201111201 (base 3) in base 6?\nAnswer: 3402501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.14 + 0.14. Let m = s + 15.003. Round m to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 101*g**6\/30 - 278*g**3\/3 + 210*g. What is the second derivative of f(j) wrt j?\nAnswer: 1212*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let k(m) = -m - 1. Let g(v) = 3*v + 8. Let y(w) = -g(w) - 5*k(w). Let x be (2 + -3)\/(-1*1). Determine x*y(s) - 5*j(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131420 + -3011?\nAnswer: -1134431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21254 divided by 2?\nAnswer: 10627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4059162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3022 + -3020. Solve 0 = -5*u + 2*i + 24 - 14, -q = -u + 5*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288310 and 403634?\nAnswer: 2018170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -554*h*j*w + 2*h*j - 225*h - 3*j*w**2 wrt w.\nAnswer: -554*h*j - 6*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 22. Give s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08076 + -0.12\nAnswer: -0.03924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1 - -5*2. Let c = w - 0. Suppose -4*o = 1 - c. Solve 4*q - 1 - o = -3*i, 3*i - 24 = 3*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f - 31*f + 3*f)*(23*f**2 + 0*f - f - 24*f**2 + 4).\nAnswer: 38*f**3 + 38*f**2 - 152*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y = -18. Suppose y*j - 2*j = 42. Let o(l) = 4*l**2 - l - 8. Let q(t) = -t**2 - t. Let a(m) = o(m) + 3*q(m). Give a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**3 + u. Let x be n(-1). Let m(v) be the third derivative of 5*v**4\/6 + 9*v**3 + 38*v**2. Is 18 a factor of m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 353?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -4\/7 (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 5*p**2 - 6*p + 3. Let y be f(4). Let v = -13 + 8. Let c = y - v. Solve c*l - 5*i = 2*l, 2*l = -i + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 226287 - -1?\nAnswer: 226288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197.888 or 2\/47?\nAnswer: -197.888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 36. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 2883.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574465 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1086, -2729, -4928, -7683?\n\"Answer: -278*r**2 - 809*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22200 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 2*i**2 + 2*i - 4. Let v be g(-3). Calculate the common denominator of 98\/30*39\/v and 63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 17 + (1 - 2 - (12 - 11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((158 - 45) + -20) - (-17 - 0)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2170ba (base 13) to base 2.\nAnswer: -11000000000011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53171076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Suppose m*u + 5*q - 65 = 0, 3 = 2*q - 7. Solve -5*x - 2 = u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3093*q + 1936*q - 48343 = -2748*q + 426054 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4 - 2 + 0*w + 7*w. Let m(u) = u - 1. Let x(d) = g(d) - 6*m(d). Let v(t) = 4*t. Calculate x(v(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.389 + -32.089. What is the nearest to 280 in -4, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/273 + 7*f**6\/195 - 9*f**5\/65 + 11*f**4\/39 - f**3\/3 + 3*f**2\/13 + 28*f - 2. Find d such that y(d) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*x + 6*x - 23 = 0, 4*h = -3*x + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47502369 by -1759347.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + 8 + 214*q**2 - 12 - 3*q**2 in the form l*q**2 + m + p*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 6)*(1*5 - 315\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (9 - 30)) + -3 - (2 - (2 - 9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111606301.\nAnswer: 233, 601, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9024*u**3 - 8375?\nAnswer: -27072*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 5*b - 278. Let c be (b\/14)\/((-9)\/(-63)). Solve c*f - 14 = -2*w - 0*w, 0 = 2*w - f - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31240222 - -3?\nAnswer: 31240230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 1075, 1611, 2147, 2683?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -1221?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 974987 - 525517791\/539. Let f = d - 5\/49. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75566736 greater than or equal to -75566736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-405)\/(-20))\/9*(-24)\/(-9). Suppose r*f = 88 - 82. Calculate the lowest common multiple of f and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - 0.29. Let p = -205\/7 - -29. What is the closest to f in p, -0.02, -2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*u + 24 = 100*u. Let k = 1 - 1. Suppose -2*y = -x - 5 + 12, k = -4*y + 16. Calculate the greatest common divisor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 16*o + 12 = 0. Suppose 6 = 5*n - 9. Solve -n*b + d - 4*d = 0, o*b - d + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 41*x + 67*x - 49. Let l be 3\/((-12)\/4) + 1. Sort l, -5, 3, x in descending order.\nAnswer: x, 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117*r**3 - 9830*r**2\/3 + 46388*r\/3 - 88.\nAnswer: (r - 22)*(r - 6)*(351*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = w - 2*l - 13, -w - l = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i + a - 60, -4*a + 80 = 4*i. Suppose 0 = t - 6*t + i. Suppose -q + 25 = -2*q + t*r, 30 = -q + 5*r. What is the nearest to 2\/5 in q, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45.938 and 20?\nAnswer: 25.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21781?\nAnswer: 23, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 6. Let i be m(6). Suppose -5*u = 2*t - 16, -t = 3*t - i. Let v(d) = -d**3 + d + 1. Let p(w) = w + 1. Determine u*p(n) - 2*v(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 112*z - 17722. Calculate k(89).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3 in ascending order.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -17. Let h be (8\/2)\/((-4)\/y). Is 7 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:24 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/1 + (-2 - 1). What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 25*i - 2. Let y(n) = 76*n - 5. Let m = -10 - -16. Let g(h) = m*y(h) - 17*r(h). What are the prime factors of g(2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*v, 3*o - 23 = 4*v - 3. Suppose -o*x + 24 = 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, h: 2, m: 1, s: 1, p: 1}. What is prob of sequence ops?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -39.2. Let u = r - -24.79748. Round u to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 860, 865, 868?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43654 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))*-5*-5)**2.\nAnswer: -1250*sqrt(11) + 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 17 - 40*o + 0 - 8.\nAnswer: -40*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q + 3*j = 0, -2*q + 5*j - 4 = 0. Suppose 3*k - 25 = -p, 5*p = -2*k - 2 - q. Suppose k*n - 1509 = 7*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 4 + 2 + 3. Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*q + 80 = q, -2*d - q + 19 = 0. Calculate the common denominator of d and -59\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 255*a**2 + 810*a = 0. Calculate a.\nAnswer: -3, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**3 - 4*p + 1\/4*p**4 - 3\/2*p**2 + 3. Let s be y(3). Solve 5*j + s + 1 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6 + (-7 - 14\/(-6)). Let i(l) = -l. Let m(c) = 5*c + 3. Determine y*i(w) - m(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r + 27. Let d be a(-18). What is the greatest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - (-287)\/7. What is the greatest common divisor of v and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 432*p - 448 - 426 + 65 + 247 wrt p?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 20 = 0. Which is smaller: t or 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(20)*3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1766821*d**2*k + 86897919*d**2 - 3*k wrt k?\nAnswer: 1766821*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 3. Let r be t(-3). Suppose 4*z - 3*f - r = 3*z, 4*f = 5*z - 97. What is the least common multiple of (18\/z)\/(1\/14) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 27*z**2 + 8*z + 41. Let x(o) = -o**3 + 5*o**2 + 52*o - 23. Let r be x(10). Let d be v(r). What is the highest common factor of d and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f)\/(f*f**(2\/5)))\/((f\/(f*f**(-8)))\/f**4) assuming f is positive.\nAnswer: f**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002461 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 619402 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 and 27.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) + (-987322)\/(-242235). Let d = -10\/769 - j. What is the common denominator of d and 41\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -1*sqrt(65)*2)*4)\/(-1*sqrt(5)*3*-6).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 + 57*r**3 - 143748 - 27477*r - 85*r**3 - 75*r**3 - 3663*r**2 - 9815*r - 11713*r = 0. Calculate r.\nAnswer: -33, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 146. Put -110, -1, r in increasing order.\nAnswer: -110, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:15 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*y + 39988, 0 = -3*y - 0*y - 5*h + 60007. Does 34 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10015120 rounded to the nearest 100000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 952 + -886. Is -9 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 + 6602*f = 0. What is f?\nAnswer: 0, 6602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.9*12.1455.\nAnswer: 95.94945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 5*u - 83. Let c(m) = 4*m**2 + 3*m - 41. Give -5*c(b) + 3*q(b).\nAnswer: b**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 + 2*r + 48. What is the smallest common multiple of 80 and z(0)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 13 = 3*j, 2 = -p + j - 1. Sort -7, 2, p.\nAnswer: -7, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7214484 and 594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820.1 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 36. Suppose 0 = -3*y + 5*l + 4 + 22, -2*y + 4*l + 20 = 0. Let h(q) = -c*q + 3*q + 3*q**y. Let s(f) = -f. Give h(s(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2 + 5*i - 5. Let z(o) = 6*o**2 + 2*o - 6. Let r(f) = 2. Let q(u) = 2*r(u) + z(u). What is -5*q(d) + 2*s(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let q be i(-4). Suppose -72 - 57 = -3*g. Let d(w) = -3 - 3*w**3 + g*w**2 - 44*w**2 + 4*w**3. Determine d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147 divided by -19208\nAnswer: 1147\/19208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-95) - 283\/(-19). Suppose -97 = -7*d + w. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let u(w) = -42*w - 18. Let y(i) = 12*i + 5. Let h(k) = -5*u(k) - 18*y(k). Determine m(h(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -795*d**3 + 4*d**2 + 256 + 1596*d**3 - 788*d**3 + d**2 wrt d?\nAnswer: 39*d**2 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*c**5*g**2 - 6*c**2 + 2*c*g**2 + 2*g wrt c.\nAnswer: -6600*c**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17710, -35449, -53188, -70927, -88666?\nAnswer: -106405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0258 times 0.2?\nAnswer: -0.00516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22.9. Let v = r - -0.9. Let u = 4.7 + 0.3. Which is the second smallest value? (a) 3\/2 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/688 and 29\/20?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 - -2 - (-1 + -4) is divided by 3*3\/((-36)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92819407375 plus -0.06?\nAnswer: -92819407375.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (129\/(-6))\/((-5)\/(-10)). Let n = v + 49. Solve -n*y = -2*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15965, -14, 4, -3 in ascending order.\nAnswer: -14, -3, -2, 4, 15965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1*42\/(-9). Let p = l - -22. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182652.\nAnswer: 2, 3, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -728, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -629*(-10)\/(-900) + 7. Let f(s) be the third derivative of -2\/63*s**7 - d*s**6 - 1\/112*s**8 + 0*s**3 + 0*s**5 + 0 + 0*s**4 + 0*s + 3*s**2. Factor f(l).\nAnswer: -l**3*(l + 2)*(9*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/3)*v**(-1)*(v*(v\/v**(-1\/18))\/v)\/(v*(v**4\/v)\/v) assuming v is positive.\nAnswer: v**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112357 is divided by 1655?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/216397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -41. Let o(s) = 8*s + 63. What are the prime factors of o(v)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:58 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 21*o + 21. Calculate k(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2130 by 5.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6616?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**3 - 2*y**3 + 0*y**5 + 2*y**5 + y**5 - y**5.\nAnswer: 2*y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3958 is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/50 and 11\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17 (b) 0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j - 138. Determine c(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2. Let a(d) be the first derivative of 7*d**2\/2 + 10. What is b(a(k))?\nAnswer: 147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113 and 5708.\nAnswer: 645004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = -11. Let v = 5 - 4. Let o be (v - -2 - (-1 - -3))*-5. Sort -3, o, k.\nAnswer: o, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -278*m. Let l(q) = -3*q**2. Calculate l(r(u)).\nAnswer: -231852*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 6. Let x = 5.11 - 5.31. Let o = 4 + -4.5. What is the third smallest value in o, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43 - 2.43. Is -3\/5 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 609*m**3 - 6363*m**2 + 5751*m.\nAnswer: 3*m*(m - 9)*(m - 1)*(m + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = 5. Suppose 20 = -s*h - h. Let c(u) = -u**3 - 5*u**2 - 6*u - 6. Let f be c(h). Solve -3*q - 10 = f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 449268?\nAnswer: 449268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -0.71 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -106135560 (base 7) to base 16\nAnswer: -6321c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 58840, 5, -3\/10 in descending order.\nAnswer: 58840, 5, -3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-490)\/(-28) + -12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 15. Let t be (-9)\/(-2)*8\/3. Let m(y) = y + 8. Calculate the lowest common multiple of m(t) and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 + 127*m**5 + 370*m**2?\nAnswer: 240*m**3 + 7620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 777422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 0.6659359 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -913db (base 15) in base 11?\nAnswer: -294574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*2 - 60\/(-30). Suppose 2*s - 5*p = v, -4*p - 9 = -3*s - p. Solve s - 3 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 5 (c) -2\/9 (d) 0 (e) 1.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908602 is divided by 302867.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 44 - 4 = 0. Let d be ((-16)\/10)\/(8\/a). Suppose d*m - 33 - 23 = 0. What is the greatest common divisor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110101010100 (base 2) to base 5.\nAnswer: -3022333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. Suppose g = -4*u + 31, -3*u + 67 = -g + o*g. Calculate the remainder when g is divided by (-58)\/(-3) + 1\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = 31*f - 33*f. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -114. Sort -1, 2, y.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 519 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i**2 + 5*i + 25. Let f(u) = 9*u**2 + 12. Let q(d) = -5*f(d) + 2*o(d). Calculate q(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13397 minus 786112363?\nAnswer: -786098966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 greater than or equal to 319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4358, -4360, -4362, -4364, -4366?\n\"Answer: -2*u - 4356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 4*j**3 + 3*j**3 - 3*j**3 + 0*j**3 + j**3 + (0 + 1 - 2)*(j + j**3 - j) + j**3 - 3*j**3 + j**3 - j**3 - j**3 - j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 39*s + 92. Determine z(12).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -533 + 653. Find the third derivative of -2*t**2 - 2*t**2 - 19 + 13 - r*t**3 - 4*t**2 + 7 wrt t.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iosqosrssssq. Give prob of picking 2 q and 2 o.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 938*c - 939*c + 2*b + 36 = 0, 0 = 5*c - 4*b - 168. Let w(o) = o**3 + 4*o**2 + 2*o + 4. Let a be w(-4). What is the closest to -2 in c, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 5*n**2 + 3*n - 2. Let t be w(-3). Let f be (-1)\/((t\/4)\/(-7)). Suppose f*k - 16 = 4. Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 3*h + 3. Let y be l(7). Let p = y - -41. Calculate the greatest common divisor of p and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-2\/9))*b*b**4*b)\/(b**1*b)**(-1\/15))**44)**(-46) assuming b is positive.\nAnswer: b**(-538384\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*o - 37106 = 0, -2*o + 4*o = -4*z + 148396. What is z rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 47. Suppose -3*i + z = 5*z - 20, -5*z + 25 = -s*i. Suppose i = -7*k - 103 + 733. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 94*s + 3195. Let m be u(-34). Let x(r) = r**3 + r + 1. Let q(l) = 69*l**3 - l - 1. What is m*x(b) - q(b)?\nAnswer: -70*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4913999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 2*d**3\/21 + 2*d**2\/7 + 2*d\/7 + 12. Factor t(u).\nAnswer: 2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t + 37*t - 4*r, 0 = 3*t + 2*r + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1898, -3823, -5748, -7673?\nAnswer: -9598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-122)\/4)\/(2\/(-4)). Let p(f) = -f**3 - 6*f**2 - 6*f - 1. Let g be p(-5). Suppose -x = -5*b + g*j, 2*j - 5 = -b + j. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/2 - n**2\/2 + 39*n. Let q = 9 + -5. Give l(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 11*b - 1. Let n be v(11). Let o = -50 - -26. Let u = o + 24.5. What is the closest to n in 0.1, u, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -351190 - -528881. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-5 - (2 + -8 + 2 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 12*m**2 - 17*m + 12. Let u = 20 - 10. What is the tens digit of v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8393 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4334 - 20311*o - 2167 - 2169.\nAnswer: -20311*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 13*h**2 + 27*h**2 - 11*h**2 in the form a*h**2 + d*h + x and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 3*v**2 + 2*v + 5. Let w be a(-5). Calculate the greatest common factor of 27 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/9)\/((-1)\/3). Let n(q) be the first derivative of q**3 - q**2 + 3*q + 48950. Suppose 0 = -b + 4. Let c(m) = 8*m**2 - 6*m + 8. Give b*c(d) + g*n(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2031725637 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4215 + 0.0215. Put 0.098, y, -4 in increasing order.\nAnswer: -4, y, 0.098","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 973*n + 4790. Give i(-6).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 886 + -1844. Does 23 divide -8 + 0 + 2 - t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 103*m**2 - 5*m + 56. Let t be x(16). Suppose 9*p + 271 = t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -13\/59?\nAnswer: -13\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546419.\nAnswer: 577, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - 355\/(-15). What is the tens digit of (-14)\/4*a\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(19) - (0 + sqrt(2736)) - (1*sqrt(19) + -3)).\nAnswer: -12*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.9 + 7.9. Let u = -4.51 + 5.01. Which is the closest to 0? (a) u (b) z (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6992 * -0.2.\nAnswer: -1398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*v + 2 - 2 - 34*v.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -210. Let l(j) = 6*j + j + 3*j**2 - 12*j**3 + 5 - 2*j. Is l(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 1, e: 3, n: 1, k: 2}. What is prob of picking 2 y and 1 n?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. What is the second smallest value in -1\/3, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 9. Let a = 11 + m. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15237869 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**9\/9072 + f**7\/2520 + f**3\/3 - 30. Let k(a) be the third derivative of g(a). Factor k(u).\nAnswer: -u**3*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 - 6612*i**2 - 515643*i + 522258 = 0. What is i?\nAnswer: -2123, -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52881801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 8932 = 18773. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6374 bigger than -6374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05153393 to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202022100212 + 2?\nAnswer: 20202022100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*k + 54, 0 = -2*x - k + 43 + 65. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:12 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5745 + 4*t - t + 7474)*(-t - 2*t**2 + t).\nAnswer: -6*t**3 - 3458*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2310)\/(-120))\/((-153)\/(-204)*(-14)\/6 - -2)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(500) + 3.\nAnswer: -30*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + 0.86. Let i = -0.06 - 3.94. What is the nearest to r in i, 2\/3, -2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, h: 1, r: 1, t: 2, f: 1}. Give prob of sequence jf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((-539)\/112) - (-4)\/(-14). Solve -4*n = k + 11, -k = 4*n + x*k + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 + 2*m - 9. Let b be k(6). Let c(w) = 4 - b*w + 3*w + w**3 - w - 3*w**2. Let p be c(3). Is 2 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 24*a + 173216. What are the prime factors of a\/(-38) - (-8)\/76?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:16 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + sqrt(125) - sqrt(125)) + -1 - (2*sqrt(90)\/sqrt(2) + -5))**2*4.\nAnswer: -144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Suppose 15*r - 600 = -0. What is the closest to 0.1 in o, r, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126968 is divided by 63480.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 111?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8283420 - -0.9?\nAnswer: 8283420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s + 19. What are the prime factors of o(9)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5031 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000197863442 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1128 and 958.\nAnswer: 1080624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 + -8 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1631, 1642, 1659, 1682, 1711, 1746, 1787?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(792) - sqrt(792)*-2))\/(sqrt(22)\/(-1*(sqrt(2) + sqrt(8)))).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00697 rounded to 4 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + d = 252, 48 = -5*r + 6*r + 4*d. Solve 0 = -2*k - 30*k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let w be 3 - 1 - (2 - 4). Suppose -6*c + 4*c = -w. Calculate the remainder when c is divided by y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10 + 0)*1026\/(-6156)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -211, 2, -3 in increasing order.\nAnswer: -211, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 122 = 4*n, -4*n + 2*h = 6*h + 152. Let v = -17 - n. Calculate the least common multiple of 8 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12140 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1186263 and 2925?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 18. Let d(y) be the first derivative of -1\/3*y**4 + 2\/15*y**5 + 2\/9*y**3 + 0*y**2 + 0*y + u. Determine p, given that d(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eahhahahwwewahh. What is prob of sequence ahw?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/36)\/(12\/(-24)*-6*15\/(-18))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*s - 7790, 2*p + 2*p - s = 7798. Is 65 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:16 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(16\/(-20))*(-2)\/10)\/((-753)\/(-103412))\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613097187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h + 15. Let v(z) = 0*z - 48*z**2 + 4*z + 45*z**2 - 1. Let d(m) = -7*m**2 + 8*m - 3. Let n(k) = 4*d(k) - 9*v(k). Give n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 314922, 2519166, 8502092, 20153040, 39361350, 68016362?\n\"Answer: 314890*v**3 + v**2 + 11*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -203512 (base 9) to base 3\nAnswer: -20010120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2170 = 5*w, y + 2*y = 2*w - 859. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 5*g**3\/6 - 4*g**2 - 185*g. Let i(l) = 3*l. Give i(r(t)).\nAnswer: 15*t - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20145036.\nAnswer: 2, 3, 1678753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 23 + 94. Let g = j - -48. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1793 - -3481. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83054 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 0\/(-2) - 13. Let a = 25 - 45. Let i = r - a. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24527538 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -91*q - 423. Let f be y(-5). What is the highest common factor of f and 4176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlqqlqqq. What is prob of sequence lllq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = x - a - 13, 0 = 2*x - 5*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, -522, -5, 2.\nAnswer: -522, -5, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618824 is divided by 524?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(12\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -102069, -5, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m + 1. Suppose 5*w - 27 = 3*w - 3*v, v + 13 = m*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015? (a) 1 (b) 0.2 (c) 4 (d) -2\/3 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0 + 0)*(-3 + 3 - 2) - 25*f + 11*f - 75*f.\nAnswer: -87*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*t + 1095 = -1408*t + 85 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1429)\/(-4))\/(13\/(-8)). Let l = -220 - m. Suppose -4*n = 4*r + 12, -3*n + 4 = 5*r + 21. Which is greater: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/(-1755) - 6\/(-27). Let f = r + -6\/13. Let l = 86 + -262\/3. What is the smallest value in f, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 + 2 = 0. Let j be (-2)\/d - (10 + -20). Calculate the highest common factor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2353?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**8\/6720 + t**7\/2520 + t**4\/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x).\nAnswer: -x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2\/3 - 2431276*r\/3 + 738887873522\/15.\nAnswer: 2*(5*r - 607819)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) - sqrt(448)) - (1 + sqrt(637) - sqrt(637)))**2.\nAnswer: 2*sqrt(13)\/7 + 62\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2 (b) 0.65 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000462533979 to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (14 + (14 + 0 - 28)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3889?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*g)*(3 + 2 + 1)*(11 + 5 + 15).\nAnswer: 372*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**3*w - 37146*t**3 - 29*t**2*w - 8195*w wrt t.\nAnswer: 12*w - 222876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 27*q**2 + 13*q**2 - 85*q**2 - 2*q**3.\nAnswer: q**3 - 99*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/4)*((z*z**6*z)\/z*z)\/z*(z\/(z*z\/(((z\/(z*z**0))\/z)\/z)))**(-1\/6) assuming z is positive.\nAnswer: z**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120096 (base 12) to base 5.\nAnswer: -33243133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*n**3 + 19*n**4 + 36 - 2 - 16*n**4 wrt n?\nAnswer: 12*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34031 is divided by 318.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l + 2. Let w be k(-3). Suppose 46 = 19*t + 8. Solve -w*y = t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(-8*5\/(-840)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 - 5. Let j(r) = r + 4. Let y be j(-7). Let k be (y - -2)*-5 + -1. Is q(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 471*m**2 - 5*m + 16. Let s be j(-8). What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104239 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 24 = -0*h. Let q = -7 + h. Solve -1 + q = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -22\/5, 3019, 1, 3\/4 in increasing order.\nAnswer: -22\/5, 0.2, 3\/4, 1, 3019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*9*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/139 (b) -4 (c) 0 (d) 0.12 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -4 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:19 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:54 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v - 9. Let o = v - 8. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/4248177 and 30\/413.\nAnswer: 29737239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 3328.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 2, q: 1, u: 6}. What is prob of sequence qrx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -646132446 and 18572?\nAnswer: 646151018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g = 60*g - 406. Suppose -13*v - g = -15*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 123*o - 31*o to the form v + m*o and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - -9 - -3)*(-478)\/(-3)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 372\/((-32)\/(-8)). Let u be 16*(-1 + 3)*-2. Let g = u - h. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 98*p + 4822. Does 116 divide k(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*n**2 - 51*n**2 - 36*n**2 + 100*n**2 - 114*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/46101865 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/610859490 - -37826286135903\/3257917280. Let d = -11611 + b. Find the common denominator of -13\/2 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x)\/(x\/(x*x**4)*x)*x**(1\/5)*(x*x*x**(-2\/5)*x*x*x)\/x*x*((x*x\/((x*x**0)\/x)*x)**(1\/52))**(-2\/143) assuming x is positive.\nAnswer: x**(1182219\/130130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 374 + 366 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 33, 74, 149, 270?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70\/211 - 28494\/83345. Which is greater: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - n + 3*n. Let t(v) = 20*v + 8*v - 62*v + 9*v + 13*v. Give t(l(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -140, -5, -437?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24006953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 346891*a**2\/10 + 346886*a\/5 - 2 = 0. What is a?\nAnswer: -2, 10\/346891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-42)*71\/((-2627)\/(-21))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2345 and 3745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4990104 divided by 7.\nAnswer: -712872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -75021 from -0.1.\nAnswer: 75020.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = 2*d. Let l(f) be the second derivative of -19*f**5\/20 + f**4\/12 + f**3\/3 + f**2\/2 - 2*f. Is l(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/2)\/((-9)\/2). Let q = 2.5 + -3. Let v = q + -0.1. Which is the third smallest value? (a) 4\/9 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 73 = -45*p. Suppose 2*t - 26 = 3*o, t - 17 = o - p. Solve 0 = t*q - 8*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u - 21 - 249 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/775 and 143\/600.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -755*s + 6. Let k(z) = 2265*z - 17. Calculate 17*j(l) + 6*k(l).\nAnswer: 755*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211222111 - -201000?\nAnswer: -1211021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*r + 26 = 0, -n - 2*r + 7 - 2 = 0. Let k be (-2)\/n + 34\/(-9). Let m = k + 3. Is 0 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 705*j = -704*j - 1, -4*n = -5*j - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s. Suppose 23 = 4*n + 7. Let x(p) = -9*p + 5 - 1 - n. Let j(u) = -5*u. Let c(r) = -11*j(r) + 6*x(r). Determine y(c(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let k(h) = -11*h - 2. What is k(p(m))?\nAnswer: 22*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.71994135 - 12.72. Round d to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/5))**(1\/7)\/(d*d\/(d\/d**(-4)*d))**(-50))**36 assuming d is positive.\nAnswer: d**(-251784\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - 3)\/((-4)\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -177*q. Let c(v) = -5*v. What is c(y(d))?\nAnswer: 885*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -247*b - 1549. Determine r(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d - 4. Suppose 5*m = 2*s + 2*s + 27, s = -3. Let y be r(m). Let p = 0 - -1. Sort p, y, 4.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h + 189. Give g(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3205 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(99)*3*3)\/(sqrt(9) - (sqrt(45) + sqrt(180)\/sqrt(4))\/sqrt(5)) + -1.\nAnswer: -9*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/6 - 2\/(-4). Suppose 3*p = -3 - 0. Let z = c + p. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 0*m)*(0 + 12 - 1)*(-2 + 2 + 5*m) - m**2 + m**2 + 2*m**2.\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.66 + 0.39. Let c = z - -3.27. Let w = -3\/5 + 11\/10. What is the biggest value in c, w, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100987519 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4773556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 2. Let v be j(-4). Let b(a) = 16*a + 80. Let z be b(-5). What is the third derivative of 8*c**2 + 16*c**6 + z*c**6 + 10*c**v wrt c?\nAnswer: 1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 + 5*w - 5. Suppose -2*s = -5 + 1. Let d be 4\/(-10)*s*-5. Suppose d*r = r - 18. Calculate h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125186628.\nAnswer: 2, 1889, 148913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/71))**38 assuming h is positive.\nAnswer: h**(76\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -457 + 460. Solve u - 5*x + 13 = 0, -m*u + x - 12 = -1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.9. Let n = w - -0.2. Let q = -5 - -3. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/30 - 2*u**3\/45 - u**2\/15 + 2*u\/15 + 6. Determine s, given that c(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*g - 11, 3*p - 2*g + 22 = 40. Let -96 + 96 + d**5 - 20*d**2 + 96*d**3 + 7*d**4 - 20*d**p - 64*d**3 = 0. Calculate d.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/4 - 2495*o**2\/4 + 388907*o\/2 - 193830 = 0. Calculate o.\nAnswer: 1, 364, 2130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/(-68) - (-10)\/85. Put g, 3, -1 in decreasing order.\nAnswer: 3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 - 2*y - 1. Let t be l(2). Suppose q - t*q - 120 = -x, -2*x + 5*q + 235 = 0. Let s = x + -66. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, 0.02, -1.3, -1\/35, 3?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*w - 2*w = -86, 2*w = -8. What is the second derivative of -u**4 + 522*u - 261*u + g + 30*u**2 - 262*u wrt u?\nAnswer: -12*u**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*q - 8*q. Suppose -q*y = 3*y + 5*j - 20, -20 = -2*y + 4*j. Solve b + 2*b = -y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, v: 6}. What is prob of sequence vvv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10244 and 65404.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9465630?\nAnswer: 2, 3, 5, 315521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (13 - 23) - (1 + 35 - 1 - -6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*g - 8*g - 750535, -4*o + 150072 = -g. What is g rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 12*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwl when three letters picked without replacement from {m: 3, u: 1, q: 2, l: 6, w: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -107b5?\nAnswer: -107b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-2)**2 - (sqrt(125)\/sqrt(5))\/sqrt(5).\nAnswer: -sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + 5 + -92 + (-1 - -16) + -2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 2)*((0 + 0 + 2*f)*(-2*f**3 - f + f) + 0*f**4 + 3*f**4 - f**4).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.6. Let h be 8\/24 - (-28)\/6. Sort r, h, 0.3 in descending order.\nAnswer: h, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -40. Let u = 17 + a. Let t = -7 + u. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*b + 1 + 4740*b**2 - 1575*b**2 - 1578*b**2 - 1577*b**2.\nAnswer: 10*b**2 + 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*f**2 + 263*f**2 - 1220*f - 90*f**2 - 84*f**2 in the form z*f**2 + r*f + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102047 is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*n + 107*n + 26 = 0. Sort n, -0.4, 4, 263 in ascending order.\nAnswer: -0.4, n, 4, 263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -66*w + 2113. Give i(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from xtxxxttxtt.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*h = 3*s + 30, -2*h = -5*s - 15. Let o = s - -9. Let b = -13.2 - -13. Put o, 3, b in increasing order.\nAnswer: b, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.356946 rounded to 3 decimal places?\nAnswer: -5.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 520642883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 9 + 10 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57\/4 in -0.2586, 0, -3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 10) to base 15\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - -2. Let n = -263000 + 263005. Which is the biggest value? (a) 0.7 (b) n (c) -2\/11 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-3) - (-526)\/1. Let w = z - 515. Solve 2*b = 3*m + 5*b - 21, -w = -5*m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 5:46 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257315.\nAnswer: 5, 53, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-29 + 78 + -32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10. Suppose -j*t - 4*p + 64 = 0, -4*t + 0*t + 103 = 3*p. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-164)\/24 - 6984\/(-432)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73909 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x + 7. What is the remainder when r(4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:53 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/24 - 35*n**3\/3 + 2*n**2 + 8*n. What is the derivative of k(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*o + 20 + 13, 5*l + 4*o = 0. Let c be l*(-33)\/6 + -1. Solve 4*p - c = -5*g, 5*g = -0*g - 3*p + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313414 (base 5) in base 15?\nAnswer: 318e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2460)\/(-20) + (-6)\/(-2). Let p(i) = -2*i - i + 125 + 0*i - x. Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7888329 to the nearest integer?\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -22, -85, -174?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - 9*h**2 - h - 2. Let r(l) = l**3 - l**2. Let v(a) = p(a) - 4*r(a). Let z(s) = 2*s**3 - 55*s**2 + 28*s - 22. Let d be z(27). Give v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 - 2*r + 1. Let n be w(1). Let j be 166\/(-6) - n\/9. Let l = j - -41. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/208, -3, 0.00271 in decreasing order.\nAnswer: 0.00271, -1\/208, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/2)\/(33*(-48)\/3168).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 5*g**3 + 0*g**3)*(-g**2 - 30*g**2 - 14*g**2) + (-5*g**2 + 5*g**2 - 2*g**3)*(-4 + 4 - 2)*(3*g**2 - 4*g**2 + 2*g**2).\nAnswer: -41*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130321321.\nAnswer: 13, 10024717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -2.8536.\nAnswer: -6.8536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 28*t - 26. Let a be q(-8). Solve -a*g + 48 = 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559607.9 milliseconds in minutes?\nAnswer: 25.993465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, 96, 456, 1136, 2238, 3864, 6116, 9096?\nAnswer: 12906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/7 + 2691\/455.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 632?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 13, 31, 55, 85?\n\"Answer: 3*t**2 + 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 4*p**2 - 3*p**2)*(p**2 + 4*p**2 - 4*p**2 + (2 - 4 - 2)*(-p**2 + 3*p**2 - p**2)).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 3, h: 5, m: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6)*(2*d**2 - 4*d**2 - d**2)*(99 + 114 - 280)*(-4 + 1 + 2)*(d**3 + 2*d**3 - d**3).\nAnswer: 402*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439820742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3419, -3, -1, 2, 6 in descending order.\nAnswer: 6, 2, -1, -3, -3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**7)\/f))\/f**(2\/13)*f**2\/(f*f**(3\/2)*f))**(-3\/8) assuming f is positive.\nAnswer: f**(597\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w. Let d be j(0). Suppose -68 - 30 = -2*l + 2*y, -l + 5*y + 57 = d. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34792.\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2612.044 micrograms?\nAnswer: 0.000002612044","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p**6\/p)*p**(2\/11))\/((p*p**6*p)\/((p\/(p*p*p**1))\/p)) assuming p is positive.\nAnswer: p**(-152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157372195?\nAnswer: 5, 2381, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -1\/2 (c) 3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -13*n + 157. Find the third derivative of -170*x + 24*x**2 - 5*x**4 + 170*x + n*x**4 wrt x.\nAnswer: 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -58, -84?\n\"Answer: -26*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -191, -1379, -4619, -10943, -21383, -36971, -58739?\n\"Answer: -172*t**3 + 6*t**2 - 2*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 1, q: 9, z: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 2*v**2 + v + 12. What is the units digit of y(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let c be 5*(-5)\/5 - -73. Let t(z) = 28*z - 4. Let n be t(2). Let b(f) = c*f - n*f - 39*f. Calculate k(b(l)).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16123789 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -16*x**2 + 9*x - 133. Let f be k(6). Let p = -651 - f. Suppose -i = -4*o + 12, 0*i + 4*i - 12 = o. What is the least common multiple of o and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101697460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*d**2 + 438 - 430 + 4*d**2 with respect to d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 117760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2806656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79559 divided by 9269.\nAnswer: 79559\/9269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, -67, -386, -1047, -2164, -3851, -6222?\n\"Answer: -19*m**3 + 42*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 11. Suppose -u = -3*w + 4, i = -3*w - 2*u + 6*u. Suppose f - 9 = -w*a + a, -12 = -3*a - f. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2458933557 rounded to 3 decimal places?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 (base 15) in base 9?\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 8*g**2 - 14. Let w be v(-6). Let u = w + -53. Solve 4*f = -u*i, -3*i - 2*f = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - n - 340*n**2 + 1542*n**2.\nAnswer: 1202*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 4. Let n be v(0). What is the common denominator of ((-308)\/(-30))\/(n\/(-5)) and -4 + (-88)\/(-14) - -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/7 (b) -0.2 (c) -4 (d) -0.0662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/10 + (-3)\/15. Suppose -w*z - 3 = -33. Suppose -4*o - p = -227, 5*o = o - 3*p + 217. What is the remainder when o is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2598 - -2597.990268. What is p rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 - 271*u + 136 = 0.\nAnswer: -136, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 2 (c) 0 (d) 1\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 5. Let f(t) = -t + 1. Let o(r) = 3*f(r) - y(r). Let v be o(-9). Suppose p - v - 9 = 0. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*q - 192, -2*w - 5*q + 69 = -24. Suppose z - 2*z = -w. Let j = z + -33. Solve 3*t + j = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2385, -2349, -2303, -2247, -2181, -2105?\n\"Answer: 5*s**2 + 21*s - 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-12)*-1)\/((-46)\/(-1449)). Solve -28*j + 21*j + d = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2705 + -2621 + -26*5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 6\/(-4))*2. Suppose -2*b = -b - o. What is the remainder when ((-14)\/10)\/(b\/(-5)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**3 + 860*h**2 - 8*h + 2 - 424*h**2 + 0 - 436*h**2. Let c(i) = -i**3 - i + 1. Give -8*c(x) + q(x).\nAnswer: -2*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i - 58. Let s be c(5). Suppose 0 = -s*t + 47 - 31. What is the greatest common factor of t and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(2*t + 1 - 1) + 1875 + 4231*t + 1870 + 2750*t - 3744 as q*t + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7783*x - 4778. What is the units digit of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623*i + 54762 + 722 = -2049 + 2351 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541485551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16332799 to the power of 1\/2, to the nearest integer?\nAnswer: 4041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13500.1 - 13500. Is f less than -290\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143310 (base 5) to base 3.\nAnswer: 22100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + -1*sqrt(300).\nAnswer: -10*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 + -123. What is the derivative of -l*y**4 + 9*y**4 + 3*y**4 - 8*y**2 - 27 wrt y?\nAnswer: -8*y**3 - 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62628 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: Let q = -1 - -1. Suppose 0 = f - l - 13, -3*f - 3*l + 33 - 6 = q. Let w = 335 - 292. Calculate the remainder when w is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 385.089. Let d = q - 0.991. What is the smallest value in d, 4, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5912 - -9422. Suppose 6*l - 12*l + a = 0. Suppose 129*r - l = 126*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 7. Let t be 56\/(-21) - (-1)\/(-3). Let g be j(t). What is the second smallest value in g, -4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 2. Let s be r(-4). Let p(j) = j**2 + 4*j. Let w be p(-3). Is w greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.94 - 4. Let t = -191.94 - -190. Let n = l + t. What is the smallest value in -1, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -571, -767, -963?\n\"Answer: -196*o - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g + 2. Let a be y(0). Suppose -5*k + z + 15 = 0, 3*k + 4*z - 3 - 6 = 0. Solve a*n = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1836*u + 208470. Give k(-113).\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let h(k) = -190068*k**2 - 2*k + 1. What is h(g(s))?\nAnswer: -760272*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710200266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Let c = 0.3 + a. Let r = c - 4. Put 3, r, 1 in increasing order.\nAnswer: r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:16 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*t**3 + 524*t**3 - 5*t + 5*t - 1571*t**3 + 50 + 524*t**3.\nAnswer: t**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-6*d**5 + 7*d**5 - 15*d**5).\nAnswer: -28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10698*n**2 - n - 7452 wrt n.\nAnswer: 21396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -362 + 5?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o = 83 + 92 + 782 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45281535 and 10950.\nAnswer: 452815350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/(-10)*-1)\/((-2)\/72) is divided by ((-10)\/6)\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 - 5*l**4\/6 - 5*l**3\/3 - l**2 + 2*l. Let n be c(-9). Let y(k) = k**2 - 7*k - 6. What is y(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403600 is divided by 19216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.668 - -7.668. Let x be 93*(0 - 2\/(-66)). Sort 1, o, x, -1.\nAnswer: -1, 1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75853*d + 19720 = 75621*d for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -492*h**3*i**2 + 391*h**3*i + 2*i**2 wrt i?\nAnswer: -984*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000243166 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852162 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - w**4 - w**4)*(-1 + 1 - w) + 2*w**4 - 2*w**5 - 2*w**4 - 108*w**5 + 43*w**5 - 28*w**5.\nAnswer: -96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + m**4 - 2 - m**2 + 3 + m - m**3. Let r = 13 - 12. Let l(z) = -4*z**4 + 6*z**3 - 6*z**2 - 6*z - 5. Let d(u) = r*l(u) + 5*g(u). Factor d(j).\nAnswer: j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/240)\/(1\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1199 and -0.5.\nAnswer: -599.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-478)\/(-7) + (-12)\/42. Let f be (m\/10 - 5)*10. Suppose 49*i = 52*i - f. Solve 0 = -3*r + i*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 47*z**2 + 2. Let m(a) = 1720 - 11*a**2 - 1720 + 16*a**2. Calculate m(k(p)).\nAnswer: 11045*p**4 + 940*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -1026, -1181, -1336?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-24)*12\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 5. Let r be 2\/(-1 - (0 - 2)). Suppose -2*i - r*k = -3*i + 9, 4*i - 5*k - 30 = 0. What is the units digit of f(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (553\/395)\/(((-6)\/(-15))\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 51144*y**3 + 460080*y**2 - 1380024*y + 1379916.\nAnswer: 4*(y - 12777)*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604 = 237*d + 4084 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-8))\/(7254\/(-4836))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 4*k**2 + 1. Calculate the remainder when p(-3) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 + 4*h**3 - 4*h**3)*(-h + 5 - 4 + 6*h).\nAnswer: 25*h**5 + 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-4)\/(-24)). Suppose 0*x - i*x = 12. What are the prime factors of x\/12 - (-103)\/3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 78\/4 + -33 + 28. Let r(z) be the first derivative of -11*z**3 - 3\/10*z**5 - 18*z**2 - h*z + 9 - 3*z**4. Let r(v) = 0. Calculate v.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 7*l**4 + 4*l**4 - l**4 - 9*l**4 - 5*l**4 + 2*l**4 + (-l**3 - 3 + 3)*(1 - 1 + l) to the form q*l**3 + m*l + p*l**2 + z + n*l**4 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40)\/(-1)*(-30)\/5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72 (b) 65 (c) 3934\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (45601\/62)\/(0 - 4\/(-56))?\nAnswer: 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 608 + -606. Suppose -2*s = -4*u + 22, -7*u - r*s + 2 = -3*u. Solve -u*p = 2*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3684866433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*k**2 + 84*g*k*v + 2*g*k - 3*g + 38*k**2*v - 2*k**2 + k*v with respect to v.\nAnswer: 84*g*k + 38*k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.15\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 5745 + 11*t + 5736 - 3*t + t + 0*t + 2*t.\nAnswer: 4*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17 + 241*v - 507*v + 22*v**3 - 6*v**2 + 3*v**3 + 266*v. Let u(p) = 4*p**3 - p**2 - 3. Calculate 6*f(j) - 34*u(j).\nAnswer: 14*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-175))\/((-24)\/(-15))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870632620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96687, 193346, 290011, 386682, 483359, 580042?\n\"Answer: 3*z**2 + 96650*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 302*t + 7. Let x(l) = 269*l + 7. Let f(b) = -8*s(b) + 9*x(b). What is f(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15404 * -2\nAnswer: -30808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358540 or -358535?\nAnswer: -358535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*z - 86, 49 = -5*y + 5*z + 139. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -878051913*c*j**2 + c*j + 11465*c + 778 wrt j.\nAnswer: -1756103826*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 49804095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22852.11 years in months?\nAnswer: 274225.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + o)*(-2 + 2 - 1 + (1 + 3 - 2)*(4 - 1 - 1) + (-21 + 18 - 34 + (-4 + 0 + 3)*(2 + 0 - 3))*(-6 + 1 + 0)).\nAnswer: -549*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*x - 2*x. Let j be (-18)\/(-5) + x\/(-15). Suppose -j*h - r = 2*r - 38, -30 = -5*h + 5*r. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.7. Let j = -0.1 + 0.4. Let d be (0 - -2) + (-16)\/6. Sort s, d, j in decreasing order.\nAnswer: j, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 592 = -1522. What is the common denominator of 3\/(n\/(-45) - -4) and 99\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 128 = 3*m + 4*c, -3*c = 0. Suppose 3*s + 11 = 77. Calculate the highest common divisor of s and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 38 = 154*s - 155*s, 5*i - s = 58. Let y(o) = 16*o - 1. Let f be y(1). Solve -10 = i*r - f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675389930 to the power of 1\/2, to the nearest integer?\nAnswer: 25988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35.9 - 36. Put b, 3, 4 in increasing order.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1983510842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-4\/9))**3 assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130162 to the power of 1\/2, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606*q**5 - 45*q?\nAnswer: -12120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20)*2*(-10)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6643708 divided by -1.\nAnswer: 6643708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 84 - 91 = 0. Suppose -p - 8 = -5*v, -4*p + 0*v + 5*v + 28 = 0. What is the remainder when c is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*592\/(-185).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 102024.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012431849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m. Let c be p(-4). Let t = 1 + c. Let y(z) = -z**2 - 7*z - 5. Let v be y(-6). Calculate the highest common factor of t and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6365 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 2*s + 1. Let a be m(-1). Suppose a*f + 23 = 5*p - 0*f, 3*p = -f + 16. Solve 0 = -0*b + p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/40 and 7 + -10 + 1414\/336.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, and 2 a when four letters picked without replacement from {z: 1, r: 1, a: 3, d: 7, f: 2, g: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 7. Let d be h(5). Let r = 4 - d. Suppose 3*o - o - r = 0. Solve -2*i + o = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.5, 2\/7, 4, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 12. Suppose 5*w = -f + 20. Are w and 6\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323095561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, o: 9, y: 2, v: 4}. Give prob of picking 2 c, 1 y, and 1 v.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13685 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2412)\/(-67))\/(1364\/1023).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 6*u - 2. Let v(g) = -3*g**2 + 3*g + 1. Let m(j) = 5*v(j) + 3*x(j). Give m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 + 5*n**4\/24 + n**3\/2 + 14*n**2. Give i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -298*x - 25929. What is k(-80)?\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 12*p + 4 = -w - 2*w - w, 0 = 79*p - 329*p - w - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 - (-8 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, 15.\nAnswer: -6, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d*d**6*d)\/(d**(11\/2)*d**(1\/12)) assuming d is positive.\nAnswer: d**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglgllglmlglglgll. Give prob of sequence gl.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 101 = -k + 121, 2*k - 4 = 0. Suppose -v = -7*s + 2*s. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/428 + 211\/1284. Which is the nearest to 3? (a) 0.2 (b) 20 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 200*x**2 - 3225*x + 25. Determine g(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 8*p**2 - 17*p + 97073. Is q(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 16341115.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -3. Let i(y) = 3*y - 5. Let q be i(6). Let p = q + s. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 11*k**2 - 2*k + 5. Calculate the remainder when l(3) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*t + 31 = -0, 5*u + 10 = -t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2.61. Let l = d + 0.89. Which is the nearest to l? (a) 1\/5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 26674100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - 318\/(-294)*7. Which is the nearest to z? (a) 2\/11 (b) -0.3 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 104, 142, 156, 140?\n\"Answer: -y**3 - 3*y**2 + 72*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-490)\/15)*1\/(-3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172300.\nAnswer: 2, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 184 = -4*p. Suppose -3*c - 7 = -p. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3151 + -0.3.\nAnswer: 3150.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 + 11 = 0, 5*f - 83 = 4*y. Suppose -2*c = 35 - f. Which is smaller: -19 or c?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147, -1130, -1099, -1048, -971?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*l**2*m + l**2 - 266210*l*m**2 + 29615311*l wrt m.\nAnswer: -81*l**2 - 532420*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4420244908.\nAnswer: 2, 47, 211, 111431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4346 + -4?\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*x - 129*x**3 - 159*x + 68*x + 132*x**3.\nAnswer: 3*x**3 - 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -8. Suppose 4*a = -0*a - 72. Let i = -8 - a. What is the smallest common multiple of b and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -14*r - 5. Let i be q(-1). Let z(y) = -y - 5. Let p be z(-8). Let f = i - p. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -20. Suppose -2*u = 2*p - 1308, -j*p + u + 3240 = -4*u. Suppose -3*b - 293 = 4*r - 778, 4*b = -r + p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -405*o**3 - o + 4929.\nAnswer: -2430*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zztz when four letters picked without replacement from {z: 6, t: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 + 16*j**3 - 35*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*(-27)\/(-117). Which is the closest to 1? (a) q (b) 3\/8 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12042 - 12042.00006651. What is s rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -2*i, 3*x - 211 = 5*i. What is the second derivative of 21*q + 16*q**2 + 26 + 36 - x wrt q?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1))\/((-253)\/(-22) - 12). Solve 12 + 27*x**5 - 252*x**4 - 698*x**j + 735*x**3 + 0 - 103*x + 359*x - 44 = 0 for x.\nAnswer: 1\/3, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*4 + -1*2. Suppose -b = -6*b + h, 2*c + b = 34. Let y(q) = -q + 9. Calculate the smallest common multiple of y(-3) and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 27. Let q = -7 + j. Let f = 3.6 + 0.4. What is the biggest value in f, q, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/388)\/9*((-15)\/(-60))\/(7\/(-16)).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:30 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -52*k - 623. Give a(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 155*p**3 + 885*p**2 - 2255*p + 1210.\nAnswer: 5*(p - 1)**2*(p + 11)*(p + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -75*b - 435. Let a be k(-10). Suppose 2*r = 18 + 12. Calculate the highest common factor of a and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46640297909 - 46640140197.140998. Let i = 157712 - v. Let t = i - 0.141. What is t rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:36 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -70. Let c be n\/(-42) - (-590)\/35. Solve 0 = -a + j - 5*j - c, -a + 23 = -4*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165120 rounded to the nearest one thousand?\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87452667*l**3 + 2*l**2*p**2 - 22420219*p**2 + 4 wrt l?\nAnswer: -262358001*l**2 + 4*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, k: 1, g: 1}. What is prob of picking 3 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z - 3*z)*(-3*z**2 + 2*z**2 - z**2)*(3*z - 7*z + 3*z) + (4*z**2 + 2*z**2 - 4*z**2)*(2*z - 4*z + 7*z)*(-6*z + 5*z + 0*z) + 0*z - z**4 + 0*z.\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = 8*h + 175. Let r = -21 - h. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let l = 105\/26 - -203\/130. Find the common denominator of (-162)\/16 - i\/2 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-60)*-5*(-6)\/(-8)*4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - 2108575?\nAnswer: -2108556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9541\/12 + -798. Find the common denominator of (5764\/528 - 11)\/(93\/(-50) - -2) and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 54*q - 25. Let i be a(1). Suppose -3816 - 4101 = -i*f. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k*k\/k**(1\/7))\/((k\/(k\/((k*((k*k\/((k*k\/(k*k**12)*k)\/k)*k)\/k)\/k)\/k*k))*k)\/k*k*k*k\/k**9) assuming k is positive.\nAnswer: k**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*z**3 - 2017*z**3 + 1501*z**3.\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 42. What is the hundreds digit of (-1708)\/(-16) + 0 + (-2)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23173*d**3*f**3*w + d**3*f**2*w - 2*d**3*f - 136*d**3 - d**2*f**3*w + d*f**2*w wrt f.\nAnswer: 139038*d**3*w - 6*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10785 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 - -0.44. Let s = 0.541 - -0.009. Let w = s - 0.43. Which is the third biggest value? (a) u (b) w (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z + 17. Let g(w) = 5*w + 6. Let a(h) = -6*b(h) + 17*g(h). Let t(f) = 1037561 - 518780 - 518781 + 220*f. Determine t(a(y)).\nAnswer: 220*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7*-1)\/(-5 + 4). Suppose x*a - 3*a = 12. Factor 0*m**2 - m**4 - m**a + 2*m**3 - m**5 + m**2.\nAnswer: -m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122612)\/(-22197)*(-21)\/2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15\/(-21) - -1) + -71*214\/58716 and -97\/3262.\nAnswer: 29358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*h + 17 + 13, 2*g = -4*h + 26 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 0. Suppose -m = -v*m + 3. What is the greatest common factor of 27 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/((-2)\/(-2)). Suppose -5*j = -2*v - 19 - 30, m = j - 4*v - 17. Let r = -13 - -17. Solve -o - j = -r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-2*o + 3 - 3) + 6*o - 7 - o + 9.\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*11\/66)\/(3\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -332, 5, 4, -24.\nAnswer: -332, -24, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*o - 3571 - 4983 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 57.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + u + 7\/6*u**3 + 0*u**2. Calculate the remainder when 41 is divided by c(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f)**(-12\/7))**(-29)*(f**6*f*f*f**(4\/3))**(1\/7) assuming f is positive.\nAnswer: f**(1072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 3. Let x(q) = 7*q**2. What is d(x(l))?\nAnswer: 7*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3343 or 3346?\nAnswer: 3346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t - 61*t - 726 - 982 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 24*h - 66. Let o = 471946\/83589 - -208\/14751. Let c = o - 52\/9. What is the third biggest value in 1\/3, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236500 and 63382?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1982525, 1982527, 1982529, 1982531, 1982533?\nAnswer: 1982535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302055 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -61, -92, -123?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 17*h**2 - 79*h - 1. Calculate n(-21).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 38 = 2*s, 41 = -10*n - 4*s - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-2 + 15 - 4) + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-8 - 9387\/(-513))\/3 + 26\/(-117))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -18. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2 + 10*u - 14653*u**2 - 26 + 14655*u**2. Calculate x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w. Let m(r) = 2*r**3 + 5*r**2 - 7*r - 22. Calculate -5*h(f) + m(f).\nAnswer: 2*f**3 - 2*f - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13167555*z**5 - 1418963*z**2 wrt z?\nAnswer: -790053300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(539) - (0 + sqrt(539))) + -3)*2 + (-4*(3 + (sqrt(1584) - (-4 + sqrt(1584) + 1))))**2.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-10))\/(14\/35). Let g(r) = r - 2. Suppose 0 = z + 4*z - 25. Let l be g(z). Solve -x + v = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = g + 3*g + 2, 5*q - 5*g - 65 = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348603441 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 7 + (3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1779*n - 545.\nAnswer: 1779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -15\/8*n**4 + 2*n**2 - 5\/6*n**3 + 0*n + 0. Let d be o(5). Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27526000\/183 + 150416. Let n = m - 2\/61. Which is the nearest to n? (a) -4 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/5)\/((63\/(-66))\/(4845\/3553))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 753676*r**5 + 741994*r**2?\nAnswer: 45220560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 356035 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -54. Suppose 0 = -w + f*l + 149 - 29, -205 = -2*w + l. Let y = w - 62. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265811 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 413\/735 + 4\/(-14) - 64\/480. Let q(f) be the first derivative of -13 - 15\/14*f**2 + 12\/7*f + v*f**3. What is t in q(t) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18551235 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: Express (5*k + k - 7*k + 6)*(1 + 11 - 1) in the form i + l*k and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 6. Let k(i) = 3*i + 17. Let z(n) = -17*f(n) + 6*k(n). Let v(m) = 7*m. What is v(z(h))?\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/112*1\/(-4)*26?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w**(-6\/17)*w))\/w))\/w**(5\/2) assuming w is positive.\nAnswer: w**(5\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 4*t + 7. Let c(h) = 3*h**2 + 4*h - 8. Let x(k) = -3*c(k) - 4*q(k). Determine p, given that x(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 7*t + 7 - 2*t - 7.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/209 or 1?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 56. Factor 63*a - a**2 - 51*a + y - 2*a**2 - a**2.\nAnswer: -4*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 320\/7 - 2726\/63. What is the common denominator of (-115)\/4*(4 - (-84)\/(-20)) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9931 and 0.087.\nAnswer: -863.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjc when three letters picked without replacement from bjbkscjkbkkbkbb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013402464 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 22048?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 1, q: 1, d: 1, m: 1, l: 2}. What is prob of picking 1 h, 1 r, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from lltwlulv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + -2 + sqrt(2299) + sqrt(2299) + sqrt(2299)))**2.\nAnswer: -2112*sqrt(19) + 331120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(b**3 + 4*b**2 - 10*b**2 + 4*b**2).\nAnswer: -b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 4*s - 9162 + 9368 - 3*s to m*s + y and give y.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24303, 47196, 70091, 92988, 115887, 138788, 161691?\n\"Answer: g**2 + 22890*g + 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*z + 5, z + 11 = 5*k - 0*z. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/12)\/((-4)\/3 + 2). Suppose 4*t - 5*q - 8 = -3*q, -n*q - 12 = 4*t. Which is bigger: t or -1\/537?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2948 times -1.3?\nAnswer: 3832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33920?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -7*o**6\/360 + o**4\/24 - o**2. Let f(m) be the second derivative of h(m). What are the prime factors of f(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*x = 217*x + 776 + 238 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s + 8*s + 141*s + 2*s + 2 - 2 + 4 + s - 4 + 0 - s + 0 + (-2*s + 0*s + 0*s)*(1 + 5 - 4) - s + 1 - 1 + 2 - 2*s - 2 + 3*s + s - 5*s + 2*s + 2*s - 6*s.\nAnswer: 149*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1413, -1298, -1109, -846, -509, -98, 387?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -150. List the prime factors of (4 + 36\/z)\/(3\/(-282)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.729 times -2?\nAnswer: 1.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/18 - 2\/(-9). Suppose 4*v + 4*b = 28, 16 = 3*b + b. Suppose t*i = 8, -v - 2 = -3*k + i. Calculate the remainder when 10 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.12083.\nAnswer: -0.52083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 124*p**2 + 720*p.\nAnswer: -4*p*(p - 5)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52458780 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 5*d**2 - d. Let o(h) = h - 2*h - 2*h. What is o(m(z))?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 738, 3059, 7156, 13221, 21446, 32023, 45144, 61001?\n\"Answer: 32*o**3 + 696*o**2 + 9*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qym when three letters picked without replacement from mxcqy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 7*s + 7*s - 5*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1077, -931, -687, -345, 95?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + o - 9. List the prime factors of y(16).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.2 - -1.2. Let z = -768.1 - -792. Let h = r + z. Which is bigger: -2.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.4986455 to three decimal places.\nAnswer: -11.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (-5 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 8590799?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6128014 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(1696\/588)*-6*6\/(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/9, -0.2, 4.521 in decreasing order.\nAnswer: 4.521, 4\/9, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -164*s + 539 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/9*(4\/32)\/(-1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - (-7 + 37\/6). Let h(z) be the second derivative of 1\/2*z**2 - y*z**3 + 1\/20*z**5 - 4*z - 1\/12*z**4 + 0. Find x such that h(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1563.91727 and -0.1?\nAnswer: 156.391727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 3 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 4, r: 1, w: 1, k: 1, z: 4}. Give prob of picking 1 w and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3324)\/(-4)*1\/3. Suppose -4*t = -5*s - 0*t + 676, 5*t = -2*s + j. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*o + 2)*(-120*o**3 - 53*o**3 - 258*o**3).\nAnswer: 1293*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -21. Let y = 2 - l. What is the remainder when 40 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/42 and 29\/294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8295915.\nAnswer: 3, 5, 17, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wssm when four letters picked without replacement from {m: 2, p: 6, s: 3, c: 6, w: 3}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 7*s - 5. Let o = -19 - -32. Let u(v) = 3 + o*v - 17 + 7*v - 6*v**2. Suppose t + 20 = 3*p, -3*p = p + t - 22. Give p*u(j) - 17*z(j).\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -283\/6 (b) 2\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8*g - 503 = 12*g, 343 = 2*z + 5*g. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42827779*-2\nAnswer: -85655558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0 + 2 + 18)*(51*q**2 - 10*q**2 + 56*q**2).\nAnswer: 1455*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.44, -2\/19, 1\/6, -1\/7, 3 in increasing order.\nAnswer: -0.44, -1\/7, -2\/19, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**3 + 2*f**2 - f - 1. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*r + 40420 = -90*r + 4*x, -3*r + 60630 = 3*x. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.5 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 302, 365?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -330 and -4964\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - 66. Let d = f - -141.16. Is 0.1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.03574 + -0.03574. Let j = -117\/2 + 56. Which is the closest to -4? (a) t (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 17, 593 in descending order.\nAnswer: 593, 17, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4\/3 + 1430*b**3\/3 - 42795*b**2 + 3508120*b\/3 - 6514060\/3 = 0.\nAnswer: 2, 46, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**2*m - 2*b**2 - 93012*b*m - 424*b - 49 wrt m.\nAnswer: -7*b**2 - 93012*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28195 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 3) + 3 + -4 + 0 + 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the units digit of 8281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14056 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1695*l + 1690*l - 20 = 0, 4*l = 3*h + 22 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31275309 is divided by 345?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -44*m**2 - 221*m - 7. What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:13 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*x**3 - 36*x**3 - 203 - 96*x**3 wrt x?\nAnswer: -450*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyssyxbsyaibys. Give prob of picking 1 i, 1 s, and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2420*b**4*k**2 + 21*b**3*k**3 + b**3*k - 3065*b**2*k - 4*k**3 wrt b?\nAnswer: -58080*b*k**2 + 126*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6\/19))\/d*d*(d\/((d\/(d**(9\/2)\/d*d))\/d))\/d*d assuming d is positive.\nAnswer: d**(259\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26517 + 54711. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - s + 1. Let n(y) = -41*y**3 - 5*y**2 - 3*y + 3. Give n(g) - 3*t(g).\nAnswer: -41*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8023649 litres?\nAnswer: 802.3649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knhnnnyuykuhnnunu. What is prob of picking 2 h?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17507\/143 - 1345\/11. Which is the nearest to 0? (a) 1\/4 (b) 0.3 (c) -2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26936 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)*g\/(g*g**(4\/9)))**(-2\/23))**(-9) assuming g is positive.\nAnswer: g**(-152\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.603466 rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t*t\/(t*t\/(t**(-10)\/t)*t)))\/t)*t)\/t*t*t**0*t assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*t + 8121 - 8161 = -5*v, -2*t - 90*v + 444 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430 - 435. Which is the second smallest value? (a) 0.1 (b) 2\/15 (c) k (d) -1\/3 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(57)\/sqrt(3)*4 - (5 + (sqrt(684) + sqrt(684) + sqrt(684) + (sqrt(684) + 0 + sqrt(684) - sqrt(684)))**2).\nAnswer: -10950 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*6*(3 + sqrt(5) - sqrt(5))**2 + -5.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*t = 150*t - 50 - 14. Put -3, 0, 1, t in ascending order.\nAnswer: -3, t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3767069\/150 - -25114. Find the common denominator of -73\/60 and h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1170\/(-50))\/13)\/((-66)\/20)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 63669?\nAnswer: 63668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1985*b - 60 + 3*b**2 - 1984*b - 442*b**3 - 36*b**3 - b**2 + 61 to z*b + o + j*b**3 + s*b**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0316 and 18.69.\nAnswer: -0.590604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:43 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5800.821um to nanometers.\nAnswer: 5800821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 4)*(-3*q + 5*q + q) to the form p*q + r and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2969, -3014, -3059, -3104, -3149?\n\"Answer: -45*a - 2924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 893*h*j**2*s**3 + 2*h*j**2*s - h*j*s**3 + 14*h*s**2 - 104*h*s + j*s**2 wrt s.\nAnswer: 5358*h*j**2 - 6*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.01 (b) -0.2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 39 (c) -1\/22 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -47*l**2 + 282*l - 11. What is s(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2594*s - 111184 = -17400 + 7382 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4 - 8*j**3 - 32*j**2 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 r when three letters picked without replacement from jrsrjjrjrrjjrpjrprr?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.32 - -94. Let o = 1.3 + w. Is o smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1775 - 232549\/21300. Calculate the common denominator of 61\/16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-10)\/15).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/6 + z**2 - 4*z. Let w be m(4). Calculate the smallest common multiple of (-3)\/(3\/w)*7 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - w. Let o(i) = 457*i**2 + 448*i**2 - 1327*i**2 + 441*i**2. Determine r(o(q)).\nAnswer: 722*q**4 - 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/((-480)\/(-70)))\/(7\/6). Let z(p) = 12*p**2 + 21*p + 9. Let l(x) = 3*x**2 + 5*x + 2. Determine d*z(t) - 9*l(t).\nAnswer: -3*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1179.29 + -1166. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1285.8 + -1286. What is the nearest to -2 in 4\/7, -1\/4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from ssr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 - 6*a - 2. Let n be q(-4). Let w(l) = 3*l - 4. Let y be w(6). Let p = n - y. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24270, -47121, -67114, -82821, -92814, -95665?\nAnswer: -89946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 2957310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(78) + (sqrt(78) - -6*2*sqrt(78))))\/(sqrt(18)\/(1*sqrt(432) + sqrt(432)))*-3)**2.\nAnswer: 13208832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c + 54*c + 158860 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a. Let o(r) = -1. Let d(h) = -27*h - 36. Let b(n) = 2*n**3 - 39*n**2 - 24*n + 116. Let q be b(20). Let k(x) = q*o(x) - d(x). Give k(y(m)).\nAnswer: 189*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151299906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001024 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (-2*sqrt(12))\/sqrt(6) + 4 - (4 + sqrt(2178) + 1)).\nAnswer: 4 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/100*-4 + (-58)\/(-130). Let v = -0.179 + 0.379. What is the fourth biggest value in v, -5, 6\/5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*d - 30 = 0, -16 = 2*m - 3*m - 4*d. Let h be -1 + m\/2 + -2. Suppose -h - 11 = -2*r. Calculate the remainder when 11 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, 4.\nAnswer: 4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -18*s + 517. Suppose s = 2*z + z. Let g(f) = 2*f**2 - 4*f + 6. Let l be g(4). Calculate the greatest common divisor of l and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w**3 - 4*w**2 - 8*w + 26. Let o be j(6). Suppose 294*l - 287*l = o. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 + 203 = 69*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15212575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16984 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-128)\/56)\/(-4))\/(2\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - ((sqrt(77) - sqrt(77)*1) + sqrt(77)))*-3 - sqrt(77)) + -3*sqrt(77)*1 + sqrt(77))\/(5*5*sqrt(33)\/sqrt(3))*-2.\nAnswer: 6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (31 - 69) + 58.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135568099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159 and 18?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26040.48 rounded to the nearest 10?\nAnswer: -26040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*a + 8, 3*j - 2*a - 35 = 33. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.69863 tonnes to micrograms.\nAnswer: 7698630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4788581160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -179280 divided by 6?\nAnswer: -29880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4056881870 to the nearest integer?\nAnswer: 63694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 5*z - 58. Suppose -3*m - 3*t + 5 + 4 = 0, -2*t = 5*m - 27. Suppose -3*k = -22 + 7. Calculate the least common multiple of s(m) and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-49)\/(-63)*2\/7. Let a be (2\/(-7))\/((-48)\/(-168)). What is the third biggest value in 4, a, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.4 + -18.4. Suppose 4*q - 134 = 71*q. Are q and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 6*s. Suppose s = 122*d - 125*d + 579. List the prime factors of d.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52312, -66762, -81212, -95662, -110112?\nAnswer: -124562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1287568 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 819985 = 3*v, -6*v = 4*i - 7*v + 3280005. What is i rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + r - 39 - 39, 0 = -2*l + 3*r + 21. Let p be (54\/8 - 9\/12) + 1. Suppose 0 = -p*o + 38 - 10. Calculate the least common multiple of l and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s + 36. Suppose j - 3*i = i - 39, 4*j + 5*i + 93 = 0. Let z(q) = -q**3 - 29*q**2 - 52*q + 65. Let h be z(j). Are h and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Suppose -t*p - p = -15. Suppose 0*h - p*h + 45 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247\/3705*1*3*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*1.8150351.\nAnswer: 14.5202808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -8)*2\/(0 - -4). Sort -1, -6, -4, z in increasing order.\nAnswer: -6, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-208)\/(-12) + 2\/(-6). Let o = g - -12. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/(-280))\/(((-18)\/9)\/(-42))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/((-580)\/2610).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1896031 to one dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1cb6a (base 13) to base 15\nAnswer: -11cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-534429)\/52395)\/(3\/10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 22*u**2 - 10*u + 6. What are the prime factors of c(-22)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 - b - 11. Suppose -l - 2*i + 10 = 0, 0 = 4*l + 4*i - 4 - 16. Determine t(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -11 - 11*n - 11\/2*n**2. What is the first derivative of w(j) wrt j?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 + -445462213167.4.\nAnswer: -445462213231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267925\/988191 - -1\/16749. Find the common denominator of ((-36)\/16)\/(6\/4) and i.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -v. Suppose -3*p = t - 13, 28*t - 25*t = -3*p + 3. What is the nearest to v in -3\/4, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:04 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q + 50. Let g = -747 - -737. What is s(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/9 or 7?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n - 2*n)*(2*n**4 + n**4 - 4*n**4) - 5*n**5 + 4*n**5 + n**3 + 3*n**4 + 0*n**5.\nAnswer: 3*n**5 + 3*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k + 7. Suppose -2*v + 18 = -4*t, -2*t = -3 + 7. Calculate h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 3 = -33. Put 4, 11, k in increasing order.\nAnswer: k, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let m(j) be the second derivative of 0 + 0*j**2 + 1\/4*j**4 + 0*j**3 - 3*j. Give z(m(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let k = h + -2. Suppose -9 = -y - k*y. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o. Suppose -x + o*p = -2*p - 33, 3 = x + 4*p. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274543 by -23.\nAnswer: -274543\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away -3981717?\nAnswer: 3981717.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5556\/10*(-14 + 9) - -3. Let d be c\/(-10)*52\/2. Suppose 500 - d = -5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005596913 rounded to six dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:37 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372054957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 26*j - 3*j - 27*j as s + f*j and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 10. Let i(y) = -2*y + 9. Determine 6*c(o) + 7*i(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.557431603 and -0.031?\nAnswer: 6.588431603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1060*h**2*k**3*s**2 - 8111*h**2*k**2 - 6*h**2*k*s**2 - 2*h**2*k + 585*h**2*s**2 + 54*h**2 wrt k?\nAnswer: -6360*h**2*k*s**2 - 16222*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uqxyqyuyqyuuquyq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 40 = 5*f, 5*f - z = -4*z - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*4 + 5 + -3.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 30. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2240, 2268, 2314, 2378, 2460, 2560?\n\"Answer: 9*p**2 + p + 2230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129292432*i**4*x + 2*i**3*q**2 + 2101*i*q*x - q**2*x - 50*q**2 + q wrt i?\nAnswer: -1551509184*i**2*x + 12*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8 = 9*k. Let m be -2 + (k - -1) + 3. Let b be 76\/(-57)*(-1 + m). Solve -b = 3*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.6 * 0.4.\nAnswer: -7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 121*k**2 + 50*k + 396. Give z(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047*l - 165974 = 830*l - 1046*l - 63671 for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (197*g + 45*g + 76*g + 62*g - 72*g)*(-4*g - 4*g - 8*g) to r*g**2 + p*g + i and give r.\nAnswer: -4928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 7*o**2 - 5*o - 42. Calculate d(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 25*p - 1955 = -70*p for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - c + 83 = 0, 7*f + c + 2850556 = 2850747 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 2. Let d be (-8)\/(8 + -4) + -2. Let f be s(d). Let b be (f\/(-20))\/((-1)\/(-6)). Sort 8, -2, b in ascending order.\nAnswer: -2, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 27*s**2 - 50*s. Calculate d(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 - 86870910*r - 377327750211405 = 0. What is r?\nAnswer: -8687091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * 0.265864.\nAnswer: -0.11166288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 28*q - 263. What is h(10)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:40 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 52 = 61 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - 50*v + 15. Let z be l(6). Suppose 5*x = x + 20. Sort 4, x, 1\/2, z.\nAnswer: 1\/2, z, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a79 (base 12) in base 15?\nAnswer: -37d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374*g**3*o + 2*g*o - g - 150*o wrt g.\nAnswer: 2244*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/8 (b) 0.99 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1137 - -17303. List the prime factors of y.\nAnswer: 2, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1430 and 1038895.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/78*(-3)\/4. Which is the nearest to -0.3? (a) n (b) -5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1180 - 1177. Is 66\/43 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134349967.\nAnswer: 10613, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2883372 and 11684.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k + 1. Let q be m(1). Suppose 0 = -4*l + 3*x + 2*x - 12, 5*l = -3*x + q. What is the second derivative of 4*b**2 + 2*b + 2*b**2 - 5*b**l wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*a - 272*a + 4*p - 9*p - 63, 30 = -10*p for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 676\/1151159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 t when four letters picked without replacement from ksjkskzktkookk.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 >= -0.072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 12. Let a be g(-6). Let p = -10 - -14. Solve -p*b = -b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/13)\/d)\/d)\/(((d*d**(-5)\/d)\/d)\/d*d*d*d)*d**(-7\/3)\/d**(-4\/9) assuming d is positive.\nAnswer: d**(31\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*p. Suppose -p*v + c = -575, -v - c = 4*c - 128. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70398650 or -70398653?\nAnswer: -70398653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4368*i**2 + 974*i?\nAnswer: -8736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120577990 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5089*w + 142479. Calculate p(28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 70 = 10*k + 4*r, -2*r = -4*k + 316. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2252.88066 to the nearest 10.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f - 36 = -p + 12, -10*f + 5*f + 76 = 3*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 3*l**2 + 4*l - 3. Let u be p(3). Suppose 0 = 4*o + a + 176, 21*o - 18*o + 139 = a. Is u at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1863128 and 0.011?\nAnswer: -0.0020494408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-5 + 2) + 3 + 53. Let o = 2 + a. Let x = -48 + o. Calculate the lowest common multiple of x and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 8*v**2 - v + 57. Calculate j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -6*q - 70. Suppose -q*t = -8*t - 1290000. Round t to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60189 - 60188.999963371. What is k rounded to 7 decimal places?\nAnswer: 0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97104047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 24*p**2 + 30*p**2 - 2 + 0.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 4. Let p be l(8). Suppose -p*i + 42 = 3*a - 15, -3*i - 4*a + 48 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/2, 3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138596253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23091088 to the nearest integer?\nAnswer: 4805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3 + 15. Let q = b - -20. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 6*p + 3 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 6, -3*d - 10 = -j. Suppose -j*a - a = 0. Suppose -s + 5 = -a*s. Solve 17 = s*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -69 - 6. Solve 0 = 5*y - s - 21, -3*s = 5*y + 2*s - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 259935012, 259935017, 259935022?\n\"Answer: 5*t + 259935007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1065522136 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) - 9\/7. Let r be 0 + 2 - (g + 16). Let w = r + 21. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903 (base 11) in base 10?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + (46\/(-10) - 10\/25). Let n(o) = 8*o**3 - 6*o**2 + 5*o - 5. Let l(x) = 17*x**3 - 13*x**2 + 11*x - 11. Determine u*n(t) + 6*l(t).\nAnswer: -2*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-75)\/(-30). Suppose -4*b + c = -5*t, 2 = t + 1. List the prime factors of 252\/(-2)*(-1)\/b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863349799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27326459071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 128, 246, 350, 434, 492, 518, 506?\n\"Answer: -g**3 - g**2 + 128*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 1:08 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6511\/8424?\nAnswer: 6511\/8424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114528 divided by 6.\nAnswer: -19088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105, 418, 941, 1674, 2617?\n\"Answer: 105*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 * 4.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*g - 23, -n - 5*g = 3*n - 41 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 3 - -4 - (-41 + 49))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 203676 = 9*b - 30676. Is 151 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -3*sqrt(425) + 0)*-2.\nAnswer: -11 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x. Let c be t(-1). Suppose 5*u = c*d + 20, u = -d - 0*d + 6. What is the units digit of (d\/3*3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -6035?\nAnswer: 6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let b be (-3)\/(-25)*(-6 + 1). What is the biggest value in z, b, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 3, h: 1}. Give prob of picking 3 l and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -225, 0, -4, 4 in decreasing order.\nAnswer: 4, 0, -4, -17, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 13691 = -1316. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3669, 3600, 3523, 3438, 3345, 3244?\nAnswer: 3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882 is divided by 51?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 4*a + 8. Let w(p) = -4*p**2 - 3*p - 4. Let x(u) = -u**2 - u. Let l(c) = -w(c) + 5*x(c). Let r(t) = 4*h(t) - 9*l(t). Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49577 is divided by 24112?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + n**3 + 1 + 6317*n + 1205*n - 902*n - 4*n**2.\nAnswer: n**3 - 4*n**2 + 6620*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13162.51 and -0.966394.\nAnswer: 13161.543606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnndnndndndnnn. What is prob of sequence nnnn?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 162. Let i = -0.099 + -0.001. What is the biggest value in y, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 21972 = 3*t + 2240, -4*d + 16 = 0. Calculate the greatest common divisor of t and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83.8 - 397. Let u = m + 313. Is u less than 1\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 3*t, -c + t + 13 = 3*c. Put c, -4, 3 in ascending order.\nAnswer: -4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2895?\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*l**4 - 2*g*l**3 - 3*g*l + 4*g - 3*l**4 + 16*l**3 + 75*l**2 + 2 wrt l.\nAnswer: 48*g*l - 12*g - 72*l + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*i + 209*i - 16. Solve -24*j - 104 = i*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.61 - -51.61. Which is smaller: -1292 or p?\nAnswer: -1292","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 13*j + 76. Let o(n) = 2*n**2 - n - 1. Let h(t) = -m(t) + o(t). Let w be h(-7). Calculate the highest common factor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99 - (175 + -43)) + -1 + 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01003924 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -146. Let y = q + 170. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/9))**(-29)*(((f**8*f)\/f)\/f*f)\/((f*f**1)\/f))**(2\/7))**(-47) assuming f is positive.\nAnswer: f**(-470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2) + 39*2. Let r = -1125 + 570. Let k = l - r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 701076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggghgh. Give prob of sequence hg.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b, 8*b + 8 = -4*m + 4*b. Let o = m + -4. Is (o + 10\/(-1))*-3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 6 + 3 - 2*c**3 + 4 in the form w + h*c**3 + v*c + k*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128\/3 + 2\/3*i**3 - 8\/3*i**2 - 32\/3*i = 0 for i.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 times 0.335?\nAnswer: -38.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3895 times 33\nAnswer: -12.8535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25.4*39\nAnswer: 990.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119749 is divided by 59870.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.228 - -0.228. What is the third smallest value in -3, 1\/4, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 14?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 11*u**2 + u - 11. Let q be h(11). Let l be (-55)\/(-119) + (-4)\/14. Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -803 - -4019\/5. Suppose -s*k**2 - 8\/5*k**3 - 3\/5*k**4 + 0*k + 0 = 0. Calculate k.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237522.\nAnswer: 2, 11, 13, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -65.999918. Round r to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25723 times -5?\nAnswer: 128615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007659 to seven decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -105, -161, -217?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 5. Let n(m) be the second derivative of 5*m**4\/12 + 14*m + 36. Determine n(r(o)).\nAnswer: 20*o**4 + 100*o**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:13 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-419)\/2*(-4 - (-10 + 4)). Let y = p + 437. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*w - 342389, -3*w - 493*f + 489*f = -513573. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0211 minus 0.001?\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98310 and 58986?\nAnswer: 294930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*k*p**2*u**2*y + 7*k*p*u**3 - 2*k*p*u*y + 4*k*y + 223*p**2*u**3*y + 2*p*u - 3*u**3 + 2*u**2 wrt p.\nAnswer: 52*k*u**2*y + 446*u**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*t + 8 + 23, -t = -4*w + 34. Suppose 1 = -4*v + w. Let z = -4 + v. Let h(b) = -b**2 + 2*b + 3. Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -436235 + -28?\nAnswer: -436264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q - 442 = 0, 0 = -g + 5*q + 105. What is the lowest common multiple of g and 173?\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89969683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 41 = -4*t - 17, 12 = 4*t. Suppose c = 4*u - 2*u. Calculate the greatest common divisor of u and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73, -513, -1677, -3919, -7593?\n\"Answer: -59*m**3 - 8*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7248*l**2 - 7248*l**2 - 6*l**3 - 244*l.\nAnswer: -6*l**3 - 244*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -61, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -431*p - 104. Let y(c) = -5*c. What is y(h(k))?\nAnswer: 2155*k + 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4 - 0. Let c = 2 + 1. Suppose -z = -c*x + 13. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -12.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:52 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*x - 2*x + 154, 0 = -3*d + 12. Suppose 0 = 4*k - x - 157. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3994*a + 4791*a - 13097*a in the form w + j*a and give j.\nAnswer: -12300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 54*t**2 - 12*t - 37. Let o(i) = i**3 + 16*i**2 - 4*i - 12. Let w(b) = 2*h(b) - 7*o(b). Give w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -23*c**2 + 20*c - 665. Let n(p) = -8*p**2 + 7*p - 222. Calculate -17*n(w) + 6*y(w).\nAnswer: -2*w**2 + w - 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 11 = 179 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61514\/15 - 4101. Find the common denominator of 16\/165 and p.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + 0.3. Let f be (40\/(-462))\/1 + 110\/605. Which is the nearest to -1? (a) s (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2, 61 in increasing order.\nAnswer: 1, 2, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3473677022 - -5?\nAnswer: 3473677027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = 4*h, 3*h = -2*m + 19 - 0. Let y = 15 - m. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1660 = 3*w + 1514, 5*w = 5*s + 250. Calculate the greatest common factor of w and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012749 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -4.3. What is the fourth biggest value in -1\/2, 5, o, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25512 = -3133*q + 7267 + 104709 + 48255 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 9, t: 9}. What is prob of picking 2 i?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6123 or -6116?\nAnswer: -6116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18514, -74011, -166510, -296017, -462538, -666079, -906646?\nAnswer: -1184245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 4*t**4 - t**5 + (-2*t + 2*t**5 + 2*t)*(-1 + 4 - 1) + 0*t**5 - 2*t**5 + 5*t**5 - 2*t**5 + 2*t**5 + 2*t**5.\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -1 - (40 + -27 + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1372*a**2*c - a*c - 209*a wrt a.\nAnswer: 2744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, a: 4, z: 1}. What is prob of picking 1 a, 2 j, and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h**2 + 4*h - 4. Let s(o) = -10*o**2 - 3*o + 3. Let y(n) = -2*n - 29. Let l be y(-16). Let d(t) = l*s(t) + 2*i(t). Give d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.5 - 14.5651. Round p to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3479.73 nanometers?\nAnswer: 3.47973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f. Let q be m(3). Suppose -2*i + q = -21. Let b be i - (-3 - (-2 - -1)). Solve z + b = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 341 and 345 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(11) + 2 + -3)**2 - (-2 + -3*sqrt(11)*-2 + sqrt(11))**2.\nAnswer: -530 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 times -0.29?\nAnswer: -0.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 58395.\nAnswer: -1\/58395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347 a factor of 688965900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xod when three letters picked without replacement from zdxzo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -691, -1033, -1373, -1711, -2047?\nAnswer: -2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(700))**2 + 1.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**1)**(-16))**(12\/11)*((s*(s*s**(1\/2))\/s*s)\/s**6)\/(s**2\/(s**(-4)\/s)) assuming s is positive.\nAnswer: s**(-615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 849306529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40223, -160712, -361503, -642596?\n\"Answer: -40151*j**2 - 36*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*i + 12, -23 = -3*l + 5*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 14. Let y = 8 + v. Suppose -2*f + 4 + 24 = 0. What is the highest common factor of f and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7656 and 2088?\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 11*g**3 - 3*g**2 + 8. Factor x(q).\nAnswer: 3*q*(11*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -9. Calculate the remainder when 53 is divided by ((-42)\/(-15))\/(a\/(-10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 697.3 - 698. Which is the second biggest value? (a) 0 (b) -4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858182733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*j - 6, 5*j = -5*o + 1 + 9. Let f(g) = j*g**2 + 22 - 22. Let a(z) = -9*z**2. Determine a(f(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 94*r**2 - 809*r - 386. Calculate n(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9749, -19487, -29227, -38969, -48713, -58459?\n\"Answer: -u**2 - 9735*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.5 (c) 0.05 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4209*t - 4224*t + 96255. Does 69 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) -7.21 (d) -46513\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -158850.1783 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 8*w + 2. Let y be t(-4). Let j be (-28)\/36 - y - (0 - 3). What is v in -j*v - 4\/9 + 2\/9*v**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807*r - 1838*r + 279 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5880.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 840917051 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168603 greater than 171069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 370*v - 367*v, -5*s = 2*v + 33 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 3. Let f be n(-8). Let i be 4\/10 - (-128)\/f. Suppose -i = -0*k - 2*k. Solve 4*o - k - 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1698*c + 2127. Let m(d) = -1130*d - 1418. Let o(g) = -5*l(g) - 7*m(g). What is the derivative of o(h) wrt h?\nAnswer: -580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5140, -19203, -33266, -47329?\n\"Answer: -14063*g + 8923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + 13. Suppose 5*u = -318 + 33. Let f = x + u. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let q(v) be the first derivative of 2*v + 0*v**2 - 1\/12*v**4 - 3 + 0*v**3. Let l(h) be the first derivative of q(h). Calculate b(l(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78)*-1)\/(-2*sqrt(96)) + 1*(2 + sqrt(13)) + sqrt(52)\/(sqrt(4)*-3 + sqrt(4)))*3.\nAnswer: 3*sqrt(13)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0908805 - -440.0244805. Let s = u + -440. Round s to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18883788 divided by -8988?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-3)\/(-6)*-2). Suppose 4*h - 6*r + r = 189, a = -5*h + 3*r + 246. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1366 and -17\/8?\nAnswer: 5464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 71\/3?\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liwicielell. Give prob of sequence ll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 54. Let z be m(22). Calculate the greatest common factor of 290 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**8*q*q\/(q**(-7\/6)*q)*((q*q**(-4))\/q)**(-1\/39) assuming q is positive.\nAnswer: q**(-123\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*j - 12 + 3\/4*j**3 - 27\/4*j**2.\nAnswer: 3*(j - 4)**2*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d - d + 0*d - 13. Let c(w) be the second derivative of -w**3\/6 - 9*w**2\/2 - w. Let x = -10 - -3. What is x*c(f) + 5*j(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/11, 13\/2, -2\/5, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(1210) + sqrt(1210) + sqrt(1210)*3) + sqrt(1210) + sqrt(1210)))\/((sqrt(1440)*-2)\/((sqrt(25) + sqrt(25)*-2)\/sqrt(5))).\nAnswer: 77*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - -492. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6932*k**5 - 2*k**4 + 67*k**3 - 7*k**2 - 557*k - 24 wrt k.\nAnswer: 415920*k**2 - 48*k + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 36 = 8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500*a**2 + 629*a**4 - 1291*a**4 + 670*a**4 + 47*a**3 wrt a?\nAnswer: 192*a + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 300 = 772. Let h = v - -273. Calculate the smallest common multiple of 11 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 16\/23, 1\/4, -0.4, 1 in increasing order.\nAnswer: -5, -0.4, 1\/4, 16\/23, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 445786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -291\/8, 2, -1\/2, -8, 7, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**2\/l)*l)\/l)**(-35) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9067594 millimeters in nanometers?\nAnswer: 906759.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) 0.3 (b) -2.8 (c) 5\/3 (d) 2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -26936 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, -2\/11, 1\/16, -1\/4, -6, -2, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + -1 - (0 + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 25*f + 39. Let i be h(-21). Let u(z) = z**3 - 7*z**2 - 10*z + 10. Let b be u(9). What is the greatest common factor of i and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let t(r) be the first derivative of -r**2 - 4*r - 3. Let s be t(-3). Let n(f) = -6*f**s + f**2 + 3*f**2. Determine h(n(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19806, -19752, -19614, -19350, -18918, -18276, -17382, -16194?\n\"Answer: 7*h**3 + 5*h - 19818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451226 is divided by 112?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + m + m - 2*m + 0*m + 3*m + 0*m - m - 3*m + 4*m + 0*m + (0*m + 2*m + 0*m)*(3 + 2 - 3) - 2*m - 4 + 4)*(4 + 4 - 4).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27595*n + n**3 - 13*n**4 + 3*n**2 + 27594*n - 72*n**4 to y*n + o + h*n**4 + z*n**3 + w*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*j**2*v*z + 16*h*j**2*z**2 - h*j*v*z**2 + 3*h*j*v + h*z + 3*j**2*z**2 - 3*v*z wrt j?\nAnswer: -4*h*v*z + 32*h*z**2 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - g)*(3695 + 489*g - 3695).\nAnswer: 978*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, 28, 141, 360, 721, 1260, 2013?\n\"Answer: 6*o**3 - o**2 + 4*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5047 times 18653?\nAnswer: -94141691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047530 divided by -7.\nAnswer: -1047530\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 2. Let r(n) = -5*n - 2. Let g(h) = -5*r(h) - 6*y(h). Give g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -236956*n**2 - 105132.\nAnswer: -473912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**5 - 5*o**4\/2 + 5*o**3 + 5134. Factor s(g).\nAnswer: -5*g**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 17. Let h = m + 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t + 41*t - 10*t - 3*t - t - 4*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((2 + sqrt(171) + 0 + sqrt(171) - (sqrt(171)*-1 + 3)) + -3 + -4 + -5)*1)**2.\nAnswer: -234*sqrt(19) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 703902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + a + 1 + 8*a**2 - 16 - 3*a**2 to c + o*a**2 + u*a and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -19, 2\/13, -94?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*i*i*i\/(i\/i**6*i)*(i**(-2))**(-2\/69) assuming i is positive.\nAnswer: i**(73\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 489 - 491. What is the closest to d in 3, -0.9, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116294\/193815 - -1\/38763. Which is bigger: 9 or x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*a - 0. What is the first derivative of -10 + l**a + 3*l**3 - 5*l**3 + 6*l**3 wrt l?\nAnswer: 12*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111\/16 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138002480 divided by -784105.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v - 9*v**2 + 21*v + (-3 - 6*v**2 + 3)*(6 - 1 - 3) to o + l*v + d*v**2 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 0.8. Let w = 0 - n. Let r = w - -1.1. Which is bigger: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 3306800 - 28495 - 257405 = 0. Round o to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l - 12 = 0. Let i = 27 + 48. Suppose 5*s + 405 = 5*b, 2*s = b + l*s - i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 - 12 = 0. Is 1965 + 6\/(-12)*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 6212 in descending order.\nAnswer: 6212, 21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-51)\/(1683\/(-22)))\/((-1)\/(-36)*-1))\/(-22).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u. Let q(a) = -2*a. Let w(x) = 7*q(x) - 5*r(x). Let z(g) = g**2 + 6*g - 5. Let j be z(-7). Let h(i) = -j*i - i - 2*i + 7*i. Determine h(w(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8))**(-4\/3))**(18\/5) assuming d is positive.\nAnswer: d**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 - 279684\/(-170). Let l = z + -875. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 49904?\nAnswer: 598848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3 + 4. Let w = b - -11. Suppose 4*u + 3*p - 17 = 0, -w*u - 4*p - 12 = -3*u. Calculate the remainder when 15 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d + 63*d - 8 = 0. Put 6, d, -3, 5 in ascending order.\nAnswer: d, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023768291 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 4*q. Which is smaller: -10\/7 or q?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*y + 132 = 596*y - 317*y, 129 = 3*a - 4*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -4*g - 4*y, 187 = 4*g - 3*y + 2*y. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1\/3 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w + 9*w - 1 - 17*w.\nAnswer: -73*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(6 - 7). Suppose 3*c = -p*c + 1941. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + j - 2*j - 6)*(52 - 48 + 115 - 3*j**2) to the form g*j**2 + i*j + u*j**3 + h and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = m + 2*l, -4*l + 127 = 5*m - 47. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -31*l**4\/24 - 88*l**3\/3 - 2*l**2 - 50. Let f be k(-6). Solve 3*t = 5*m + 2, -2*t - f = -m - 4*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/(78\/936))\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v + 4. Let f(o) = -2*o + 21. Let u be f(v). Let c = u - 3. Solve -4*t - 4*r = -0*r + 36, 4*r = c*t - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279604.8 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -13, 8, 0.2, 0.0408 in increasing order.\nAnswer: -14, -13, 0.0408, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c - 140 = -446, 0 = -3*c. Suppose -2*s + r = s. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 20201121?\nAnswer: 20201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 50*k - 500 + 214 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75208.9 * 0.1.\nAnswer: 7520.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10430950832804 and 5.\nAnswer: -10430950832799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*1)**2 + sqrt(4400).\nAnswer: 20*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of (-438)\/73 + (-4)\/(-2) + 1 + 8571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) + (-4)\/5 + -2. What are the prime factors of -1 - -2 - (-2 - n) - -81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3318*l**3 - 1186*l**2 + 4 + 1186*l**2.\nAnswer: 3318*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 55 = 3*g. Let d = -25 - -36. Calculate the highest common factor of g and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152343?\nAnswer: 3, 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -191.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98813413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(2*1\/(-4)). Suppose r = q - 26. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aibaiabbabaiaa. What is prob of sequence aiba?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -636*r - 399*r - 26910 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -268519*x + 1342536. What is t(5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/6 - 3161*k\/3 + 4317997\/6 = 0?\nAnswer: 779, 5543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*j = 16, -8*n + 48 = -5*n - 3*j. Let d = -10 + 15. Solve 0 = -n*m + d*u - 7 - 10, -3*m = 2*u - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-10)\/(p\/(p**8*p*p*p)*p**4) assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.699177 centuries to decades.\nAnswer: 86.99177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6*(p**(-2\/3)*p)\/p*(p**(-2\/5))**(4\/25) assuming p is positive.\nAnswer: p**(1976\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) 3 (b) 5 (c) -0.084 (d) -10 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 31*x + 1226. Calculate p(-45).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:02 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:58 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4934920*z**3 + 4739445*z wrt z?\nAnswer: -29609520*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175961687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(11\/(-77) + 32\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 + 73. Let j = p - -38. Which is the fourth biggest value? (a) j (b) 0.4 (c) 3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 32195578321.\nAnswer: 32195578321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1312 and 3\/128.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2619009 (b) 0.5 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 12}. What is prob of picking 1 i and 1 t?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 2*l - 2*v, -2*v = l + 1. Which is the closest to 2? (a) -2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584\/97 < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1350 or 5\/4?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/5 + 40\/(-100). Solve 4*p - 14 = -3*v, -y*v - 23 = -p - 2*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 11. Let w be y(4). Let b be 1 + w\/6*-4. Let g = 7 - b. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13822\/35, 2, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, -13822\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2963*r**2*v**2 + 21*r**2*v - 5*r*v + v**2 + 308*v wrt r.\nAnswer: 5926*v**2 + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 5:20 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355720 (base 8) to base 14.\nAnswer: -32568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/12, -0.7, 1.07, 1\/7, 2\/9, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 9714*w\/7 + 10372240\/7.\nAnswer: 2*(w - 3272)*(w - 1585)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*q - 36*q + 125. Let k(l) = -l**3 - 25*l**2 - 10*l - 37. List the prime factors of k(q).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248879091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m, -r - 43 = -2*r + 3*m. Suppose -23*i = -10*i - r. What is the greatest common divisor of i and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48458050.9 rounded to the nearest 10000?\nAnswer: -48460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 4*h**3 - 6*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.274? (a) -3\/4 (b) 1 (c) 0.3 (d) -4 (e) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10110011101100011110 (base 2) to base 13\nAnswer: 1ca029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 59 + 187\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3854 - -3855. Which is the nearest to u? (a) -5 (b) -1 (c) 0.6 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 186945, -1, 5 in increasing order.\nAnswer: -1, 4, 5, 186945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/33884363 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 107 = -3*s, 2*s = 5*x - 14 - 94. What are the prime factors of x\/1 - (1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/5)*i\/(i\/(i\/(i**6*i))*i)*(i\/(i**(-2\/3)\/i))**42 assuming i is positive.\nAnswer: i**(524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3679 or -3678?\nAnswer: -3678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10102, -20228, -30354, -40480, -50606?\nAnswer: -60732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(((-9672)\/384 - -25)\/((-6)\/20))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -887c9?\nAnswer: -887c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5099757 divided by -6.\nAnswer: 1699919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l. Let h(m) = 3*m + 5. Let d(x) = -442*x + 110. Let o(q) = -4*d(q) + 88*h(q). Calculate c(o(p)).\nAnswer: -6096*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7383931.\nAnswer: 97, 76123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 8*j - 29. Let m be o(-8). Let y = -58 + 99. Let t = y + m. Calculate the smallest common multiple of t and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -3, 89\/2, 0.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 70920?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320*q**4 + 1188697*q**3 + 70117188*q**2 - 2 wrt q?\nAnswer: -7680*q + 7132182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -9\/2*t**2 - 11*t + 0 + 1\/6*t**3. Give n(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2781096.75 - 0.5.\nAnswer: -2781097.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3\/4 - 51*y**2\/4 + 45*y\/2 - 4 = 0. Calculate y.\nAnswer: 1\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/6 + 200*u**4\/3 + 5723*u**3\/6 - 9992*u**2\/3 + 2310*u = 0.\nAnswer: -385, -18, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let v(a) = 5*a**2 - 520*a + 1900. What is v(p(m))?\nAnswer: 45*m**2 - 1560*m + 1900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - x + 1. Let a(h) = -2*h**2 + 2*h - 1. Let n(l) = -4*a(l) - 3*m(l). Let o be n(-5). Are o and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42210 divided by -7.\nAnswer: 6030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 7*c + 2. Let f be x(-7). Suppose -h + 9 = -2*d, 3*h - f*d - 12 = h. Solve -6 = h*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0566864*211\nAnswer: 11.9608304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/1230 or -1?\nAnswer: -7\/1230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -21 + -17 + 30 + -2 + -3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1370291 and 316221.\nAnswer: 4110873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/165, 2, 0.2, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -74*l + 440. What is the units digit of a(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155111.5 centuries to decades.\nAnswer: 1551115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17991432*5\nAnswer: 89957160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16305 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91224 by -4.\nAnswer: -22806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*u - 82*u - 4*c + 10, -4*c = -3*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 9) to base 15.\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149232 divided by 4.\nAnswer: 37308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 (base 5) in base 14?\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-450)*10*11\/(627\/(-5)))\/(-14).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/80 and -127\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5045893.\nAnswer: 5045893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/9)\/4)\/((-15)\/(-18)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -18. Solve -w + 2 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335606 (base 7) in base 11?\nAnswer: 111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*j + 3420012, -3*j = p - 918974 - 221014. What is p rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 10 + 38 - 90*z - 1 + 1 - 2*z + (0*z + 0*z - 2*z)*(2 + 4 - 5) to j*z + w and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -3, 5\/5142?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - q + 2 + 2 = 0, 3*v - 4*q = 28. Suppose -5*h + 3*h + v = 0. Suppose -h*x = -4*x + 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 4*a + 2*a + 0 + a + 0 + (-a - 3*a + 6*a)*(-2 + 4 - 1) + 3*a + 3 - 3 - 9*a - a - a + 3*a - 5 + 5 to the form j + p*a and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200781632?\nAnswer: 2, 499, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 947486325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.029185*2\nAnswer: -0.05837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -31964\nAnswer: -31966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5470407 (base 8) to base 12.\nAnswer: 5ab147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*l - 189*l - 2340 = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 1\/4*y**4 - 3 + 4\/3*y**3 + y - 7\/2*y**2. Calculate the lowest common multiple of 1 and k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2054339 divided by -2054339.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/sqrt(72))\/sqrt(3).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) + (-1248)\/(-27). Suppose t - 3*t + c = 0. What are the prime factors of t\/2 + 1\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*s = -756*s + 48363. Calculate the remainder when s is divided by 9\/(-12)*12\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71788146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-22))\/(21\/5544)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106a (base 12) to base 14\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33124 and 338.\nAnswer: 33124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 235 divided by -9\nAnswer: -235\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-66)\/10 + 5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 16. Let x(v) = -5*v + 0*v - v**2 - 50 + 53. Let i be x(g). Let z(w) = -w**2 + 2*w + 4. Determine z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 - (13\/(-13) - 0)\/((-2)\/14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -34. Suppose m - 4*n + b*n - 42 = 0, 5*m + 3*n = 184. Suppose -58 = -8*r + m. Solve -s + 8 = -4*f - r, -32 = -4*s + 4*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -0.781195.\nAnswer: -12.49912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 60 = -9*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i + 3, 8*k - 2 = i + 3*k. Solve 6 = 3*w - 2*r, -i*w - 3*r + 17 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - 0.28. Let f = -110 - -109.6. What is the second smallest value in f, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, l: 3, r: 3}. Give prob of picking 1 r and 3 l.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4 - 15 + g**3 - 1. Let v(i) = 3*i + 99. Let t(c) = c + 25. Let q(z) = -9*t(z) + 2*v(z). Let l be q(-9). What is o(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36992 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/16 and (-13247)\/(-4944) - (-1568)\/(-588).\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/5*-4*(-1 - -2). Let f(p) be the first derivative of 42\/5*p**2 + b*p + 4 + 49\/5*p**3. Let f(h) = 0. What is h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3129169063.7 - -3129169659.09462327. Let p = 599.594623 - l. Let f = p + -4.2. Round f to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let u(y) = -48*y**2. What is b(u(k))?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 47. Let n = f + 19.000028. Round n to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from duvdxudxdpdxxxquxpv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26233811 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154735 at most as big as 4154753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-18)*(-6)\/4. Let o be (u + -2)*5\/(-15). Suppose o = 4*d - 40 - 0. Calculate the highest common divisor of 40 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 178\/(-6). Let s(c) = l*c + 2*c + 17*c + 3 - 6. Let t be s(3). Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1023, -1119, -1295, -1545, -1863, -2243?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 52*h = 5*q - 56, -4*q + h = -44. Let t = -20 - -12. Let c = t + q. Solve 4*r = -0*r - y + 8, 2*r = 2*y + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5203?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -28685, 1\/6, 3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 18*d**5 + 462*d**4 - 44866*d**3 + 606906*d**2 - 749952*d + 243432 = 0?\nAnswer: -69, 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -216 and 67.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 158 = -5*i, 82 - 31 = -o - 2*i. Let d = o + 380. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 27*z + 224. What is the hundreds digit of m(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/6 + 6*b. Let d(c) = -c**3 - 3*c**2 + 2. Let g be d(-3). Let l(x) = -2*x**g - 7*x + 7*x. What is l(q(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Suppose f*j + 21 = 5*u - 9, u = 2*j + 10. Suppose -u*a + 3 = -37. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**4 - 2*a**3 + 12*a**2 + 5*a. Let f(x) = 1028*x**3 - x - 1028*x**3 + 2*x**4. Let p(n) = 15*f(n) - 5*m(n). Factor p(c).\nAnswer: 5*c*(c - 2)*(c + 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-21)\/48*-28 + (-1)\/4 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 - 0.15. Let u = -4 + a. What is u rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 11 - 27 - 17 + (2 + 1 - 2)*(2*f + 2 - 2) + f - 78 + 78 as j + b*f and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 10*z**2 + z - 5. Let q be t(10). Suppose -3*d = q*d - 432. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 17475*w - 659718.\nAnswer: -3*(w - 5787)*(w - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 146684\/24 - 0. Let b = -6136 - u. Let y = 1183\/136 + -235\/17. Calculate the common denominator of y and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863272 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b. Suppose 5*u - 4*u = -c + 6, c + 6 = 2*u. Let y(x) = -13*x**c - 7*x**2 + 23*x**2. Give y(n(q)).\nAnswer: 147*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 583 - 685 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 4. Let r be m(-5). Let d(j) = -750001*j**3 + j**2 - j + 1. Let t be d(r). What is t rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1584) - sqrt(1584)) + -5 + -4 - (2 + 4*(sqrt(11) - sqrt(44)\/(2*sqrt(4)))**2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96999?\nAnswer: 3, 7, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 15 - 23829*l**2 + 23828*l**2.\nAnswer: -l**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -2) + 0)\/(15\/60). Let w(s) = -5*s**2 - 24*s + 53. Let v(c) = -11*c**2 - 49*c + 106. Let a(h) = u*v(h) - 9*w(h). Is 16 a factor of a(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 39*k + 24. Does 13 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-71916)\/(-11415)*-1. Let q = u - 1\/7610. Let l = -2\/97 - -113\/776. Calculate the common denominator of q and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 not equal to -75973\/1809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x. Let w(q) = 16*q. Let t(r) = 11*j(r) - 2*w(r). Let u(a) be the first derivative of a**3\/3 - 19*a**2\/2 + 1912. Calculate u(t(g)).\nAnswer: g**2 - 19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 138, 190, 246, 306?\n\"Answer: 2*m**2 + 46*m + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o + 4 = 0, 29 = 5*x + 4*o. Let w = x - 0. Let a = 19 - w. Calculate the smallest common multiple of a and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -16*q**3 + 99*q**2 + 11*q - 23. Let y(f) = 9*f**3 - 50*f**2 - 6*f + 13. Determine 4*b(o) + 7*y(o).\nAnswer: -o**3 + 46*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12 - 6*d - 29 + 13. What is g(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7707, -15471, -23259, -31083, -38955, -46887?\n\"Answer: -2*x**3 - 7750*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1202786, 1202738, 1202690, 1202642, 1202594, 1202546?\nAnswer: 1202498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*a - 9, 2*p = 4*p + 5*a + 15. Let r be (-5)\/(-10)*(0 + p). Solve -3*l + 6 = 3*x - r*l, 5*x - 3*l - 34 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 191*c + 212*c - 3.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21433\/71 or -0.35?\nAnswer: -21433\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40718*i*l*r**3 - 22*i*l + 1166*i wrt r?\nAnswer: 122154*i*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 485355 and 1572.\nAnswer: 1941420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 747. Let f be p(12). Calculate the greatest common divisor of f and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:06 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36811 = 334*s - 26791 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 45 = -3. Let z = 27 - i. Calculate the greatest common divisor of 165 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 3035\nAnswer: 78910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -cd6 (base 15) to base 7\nAnswer: -11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 + -113. Suppose -t + 13 = 4*p - 8, 4*p + 4*t - o = 0. Solve -8*v + 3*v = 20, p*i - 2*v = 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - (5 + -14 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 40*k + 3910. Let p(z) = -9*z - 980. Calculate -4*n(q) - 18*p(q).\nAnswer: 2*q + 2000","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -1\/72*o**4 + 3*o + 1\/45*o**5 + 0 + 0*o**3 + 3\/2*o**2. Let m(t) be the first derivative of i(t). Find q such that m(q) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 2*h - 6. Let d(a) = -a - 2. What is 8*d(m) - 3*l(m)?\nAnswer: -3*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8172699 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1)*s)\/s)**32)**23 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -152680*l - 346094 wrt l.\nAnswer: -152680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47784543880 take away 3.36?\nAnswer: 47784543876.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -3*a, -2*a - 3*b + 11 - 25 = 0. Suppose 0 = -3*k + 4*k - 5, -2*y - 716 = 4*k. Let m be 2*(-4)\/y*a. Is 0 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/160 + (-4)\/(-16). Let m be (-2 + 1)*1\/1. Which is the closest to -2\/5? (a) m (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143308*j**3*l**2 + 19*j**3 - 3*j**2*l**2 + 1981*j**2*l - 49*j*l + 2*l**2 wrt l?\nAnswer: 286616*j**3 - 6*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/40 - g**5\/60 - g**4\/24 - g**3\/6 - g**2. Let t = -11 - -18. Suppose -3*p - t = -4. What is w(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7896 is divided by 324.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Let v = 16 + -11. Which is the nearest to -2\/3? (a) -1\/2 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i + 14*i = -19*i + 567 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 11*h**2 + 137*h + 1493. Let u be b(-11). Suppose -16 = -2*t + r + 4*r, -2*t - 2*r - 12 = 0. Suppose 3*s - 3 = 12. Sort u, t, s.\nAnswer: u, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 657191 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04671 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 24863 + 24853 - 74585 + 24862.\nAnswer: -13*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589294925 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*(-41)\/(-13653) - (74\/(-630) - (-3)\/15)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -46. Let d(s) = 3*s**2. Let x(y) = -3*y**2. What is p*x(w) + 3*d(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 8*r**2 + 23*r + 46. Calculate h(12).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(150)\/sqrt(3))**2.\nAnswer: 10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 - 6*y**3 - 25*y**2 + 25*y**2.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.388 - -0.612. Let x = 71\/4 - 18. Which is the second biggest value? (a) -0.2 (b) 4 (c) n (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -4 (b) 8 (c) -3\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 53 + 0*h + 1\/2*h**2. Let i(o) = 114*o**2. Give k(i(z)).\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -2*(sqrt(2) + 0) - sqrt(24)\/(sqrt(24)\/sqrt(2))) + (sqrt(18) - sqrt(144)\/(sqrt(8) + (2*sqrt(8) - sqrt(8))))\/sqrt(9).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -300. Let x = -472 + i. Let j = -162.0119 - x. What is j rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 + 817 = 65*d + 68*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -214596687\nAnswer: 1072983435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 64216325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6548245 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -138\/13, 4\/7, -0.5 in decreasing order.\nAnswer: 4\/7, -0.5, -138\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3490.34 times -81?\nAnswer: 282717.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(2*d + 2 - 2) - 3 - d + 3)*(4*d**2 - 9*d + 9*d).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 38*a**2 - 37*a**2 + 0*a + a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*m**3*o - 5*m**3*u**2 + 11*m**2*u**2 + m*o + 2*o*u**2 wrt u.\nAnswer: -10*m**3*u + 22*m**2*u + 4*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.875 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/(330\/(-20)) - (-1434)\/22 and 3?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 7*q**2 + 14*q + 40. Let r(n) = -n**3 - 2*n**2 - 5*n - 14. Let m(k) = 6*g(k) + 17*r(k). Give m(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**2 - 4*k - 1. Let p(n) = -16*n**2 - 3*n. Let a(c) = -5*b(c) + 4*p(c). Let l be a(-10). Calculate the highest common divisor of l and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26210, 52397, 78560, 104687, 130766, 156785, 182732?\nAnswer: 208595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(648) + sqrt(16)\/(sqrt(2) + sqrt(4)\/sqrt(2)))\/(sqrt(576) - (sqrt(576) + sqrt(576)*2 + sqrt(576))).\nAnswer: -2 + 35*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from llhllh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/7 (b) -2\/9 (c) 0.5 (d) 5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6787))\/((-63)\/6). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 23 - ((0 - -1) + -18)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, q: 5}. What is prob of picking 1 q and 2 p?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*q - 105. Let k = -23 - q. Which is the second smallest value? (a) k (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = l, 0 = l - 4*y - 933 + 934 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -222*v - 1985. Let p be c(-9). Solve 0 = 2*y + 6, -p*y + 12*y = 2*h + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 3 + 17)*(0*t**2 + 0*t**2 + 2*t**2) to the form y*t**2 + v*t + a and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -3127, -11092, -26729, -52594?\nAnswer: -91243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 + t - 2. Suppose 4*l + 10 = 5*l. Calculate the least common multiple of z(1) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n + 6. Suppose 4*g - 4 = 4. What is the remainder when r(-8) is divided by (0 - g)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 53. Let f be j(0). Let x = -22 - f. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -152\/17 (b) 2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 1. Let t be h(-3). Suppose -2*b - 2*s = 12, t*b - s + 13 = -16. Which is smaller: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2679 = -152*v - 401 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27977 rounded to three decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 15) in base 10?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.6 + -1.64. Let n = b - 3. Let h be 398 + -380 - 56\/3. What is the nearest to 0 in h, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 4*l - 4*l)*(4*l**2 - 4*l**2 + 2*l**2) + l**3 - l**3 - 2*l**3 - 23*l**3 - 21*l + 21*l in the form c + g*l**2 + b*l + i*l**3 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from {e: 4, x: 3, z: 2, g: 8, u: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 40 = -3*j + 34*q, j = -q + 8. Suppose 0 = -5*c + 3*c + 8. Solve -2*d - d - 9 = c*m, 4*d + j = 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4*s - 3636*r**4 + 2*r**3*s + 4*r**3 - 13*r**2*s + 21*r**2 - 5*r*s - 3*s - 8 wrt r?\nAnswer: -48*r*s - 87264*r + 12*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2\/2 + a - 6. Let b(g) = 8*g**3 + 10*g**2 - 10*g - 10. What is -b(j) - 10*z(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/276?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2620724\/14160549 + -106\/573. Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4032 - 2879. Solve -1144*t + 27 = -q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-18)\/27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*x + 100*x + 54 - 259*x + 0.\nAnswer: -2*x + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00468973 rounded to five dps?\nAnswer: 0.00469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8)\/(sqrt(4) - (sqrt(4) + (-1*sqrt(8))\/sqrt(2))) + ((sqrt(162) + -5)*-5)**2).\nAnswer: -4498*sqrt(2) + 9350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -19, 0.4, -4\/3, -2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 21 = -25. Let p = -172.1 + 172. Which is the nearest to p? (a) g (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1613709)\/354*(-1 - 1)?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 109166146?\nAnswer: 109166146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 2*-2*27\/12*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 69*c - 58*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/17 + 77516*k**4\/17 - 1085494*k**3\/17 + 4730016*k**2\/17 - 6513624*k\/17 + 2791584\/17 = 0. What is k?\nAnswer: -38772, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95\/(-114)*4*(-6)\/4. Put v, -0.1, -5, 7 in decreasing order.\nAnswer: 7, v, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9529 - 9529. Let y(j) = j**3 + 3*j**2 - 2*j + 2. Give y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -340, -3012, -10358, -24712, -48408, -83780, -133162?\n\"Answer: -389*w**3 - 3*w**2 + 60*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68806 at most 68840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -341, -370, -419, -488, -577?\n\"Answer: -10*u**2 + u - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -202?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62010 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -10 + 30. Let a be (2\/4)\/((-1)\/(-42)). Suppose -u + a + z = 0. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65208 and 32032?\nAnswer: 1825824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7419.64nm in centimeters?\nAnswer: 0.000741964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t - 440. Let m(o) = 5*o + 221. Calculate -9*m(g) - 4*v(g).\nAnswer: -g - 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 8*j**5 + 3*j**5 + (-4*j**3 + j**3 + j**3)*(-5*j**2 + 2*j**2 + j**2) - 3*j**5 + 4*j**5 - 2*j**5 + (4*j - j**5 - 4*j)*(3 - 4 + 2).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 611\/(-658) - (-3)\/(-42). What is the nearest to -0.3 in -2\/43, g, -3\/4?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 14) to base 13\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*a + 9, 21*a - 16*a = 4*u - 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -0.022, -3, -28?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 1. Let c(b) = b**2 - 6*b - 1. Give c(k) + i(k).\nAnswer: 2*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 17. Let f = 13182 + -13165. Let m(s) = -9*s + 50. What is f*c(d) - 6*m(d)?\nAnswer: 3*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:00 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -x*z + 14 = 2. Suppose 179 = -2*u + 4*u - 3*g, -z*g = 4*u - 308. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -498, 4, 1, -63, 0, 5 in descending order.\nAnswer: 5, 4, 1, 0, -63, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200 (base 3) to base 5.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 66*p**2 + 13 - 14 + 7 - 135*p**2. Let x(v) = v**2. Calculate x(b(u)).\nAnswer: 4761*u**4 - 828*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 h when four letters picked without replacement from ssshhhhhsshhscssh?\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623241434 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6731015884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -2, -53, -4, 14 in decreasing order.\nAnswer: 14, 9, -2, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85)\/(sqrt(45)\/sqrt(9)) + 5 + 0))**2*-6.\nAnswer: -1008 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/6720 + q**6\/180 - 5*q**4\/6 - 9*q**2. Let w(s) be the second derivative of k(s). Factor w(g).\nAnswer: -g*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -101 + 124 + 144.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829870787?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q + 0*q + q**2 + 25 + 8*q + 22. Give w(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/(36\/(-120)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4686.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -571.2773 to 0 decimal places.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 8:57 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 8. Suppose -4*q + 15 = -v. Suppose -2*j = -31 - 31. What is the remainder when j is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76979184?\nAnswer: 2, 3, 19, 84407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 87. Suppose 4*a - 18740 = 4*y, 8*y + 23385 = 5*a + j*y. Round a to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32540047537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48024 + 4424. What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37872?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 - r**4\/8 - 13*r**3\/6 + 12*r. Let c(j) be the second derivative of g(j). Determine c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 12 - 6. Let i be 3\/(-3) + (-18)\/(-2). Suppose o*l = i*l. Solve 8*s - 3*s - 25 = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.3 + 0.3. Let s = -15 - f. What is the second smallest value in -5, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1720 + 1096 + 18*v - 489 - 14*v + 1113.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 5*t**2 + 13*t + 14. Let m be u(-4). Solve 7*a = m*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/8 + 2. Let o = -0.93 - -1.09. Let k = o - 0.06. Which is the nearest to -3? (a) m (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 444*h - 6*h**2 + 444*h.\nAnswer: -6*h**2 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*t + 423 = 0. Suppose -8*s = -137 - t. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5052384275 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1316*g + 1277*g + 602*g + 660*g. Let b(h) = h**2. Determine b(j(l)).\nAnswer: 14861025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/41 and 81\/2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/121, 1\/3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1476*w**3 - 9*w**2 - 19*w + 16. Let i be a(8). What is i rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/(35577\/469)*-63?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3061.00007445 - 3061. What is y rounded to 6 decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 261*i - 51149. Determine h(196).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2197 + -2196.99988288. What is h rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2028 by -507.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and 13781714?\nAnswer: 28941599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 852 divided by 426\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-31 - -26)) + -5 + 1 + -1 + 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 2. Let d be o(-3). Let i = d + 108. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0474411 rounded to 4 dps?\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + -12.83. Let q = p + 9. What is the closest to -0.2 in q, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and 347.7166.\nAnswer: 348.8166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-696)\/84 + ((-4)\/3)\/(28\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = 23*s - l + 26, -2*l = -3*s + 26 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1479588.93ns?\nAnswer: 0.000000017124871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*((sqrt(847) - (-2 + sqrt(847))) + -4) - ((4*sqrt(847)*-2 - sqrt(847)) + 5)*-3)**2.\nAnswer: -10098*sqrt(7) + 617752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/9))\/y*(y**(-4\/3)*y)\/y*y)**(-35) assuming y is positive.\nAnswer: y**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112609.2ml in litres?\nAnswer: 112.6092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2599b4 (base 14) to base 5\nAnswer: 312404341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 302 + 281 = -4*t, -3*y = -9*t + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 9 - 2*c + 13 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81391007 is divided by 433.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78178, 78129, 78080, 78031?\n\"Answer: -49*p + 78227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 2*y + 27*m - 63, -3*y + 127 = 5*m. What is the third derivative of 3*z**2 + y*z**5 - 17*z**2 - 104 + 101 wrt z?\nAnswer: 2040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -22. Calculate the remainder when 71 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w + 6. Let t be r(-3). Let -9*z**3 - 3*z**3 - 26*z**2 + 14*z**2 + 9*z**t = 0. Calculate z.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -196420.\nAnswer: -73\/196420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025236 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22061383 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4508.285 millennia?\nAnswer: 45082.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 71, 2, -1, -0.4, -1\/3, 2\/11?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 6*i**2 + 338*i + 35. Calculate u(-22).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + r**3 + 0*r**3 + (-4 + 3 + 2 + (1 - 1 + 2)*(-5 + 3 + 3))*(-91*r**2 + 438 - 438)*(-34 + 25*r + 34).\nAnswer: -6826*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 8*b**2 + 11*b + 9. Calculate w(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 49 = j - 37, -6*j + q + 13 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = -0. Let h = 22 + -11. Let a be p + h - (9 + 1). Let v(m) = m**2 + 7*m - 8. Calculate v(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 7. What is l(15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 + m. Suppose -4*s + 106 = 2*o + 26, 3*o = 0. What is the remainder when r(3) is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/18, -0.1, -106?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s**(10\/9)\/s*s)\/((s\/(s\/s**(-3\/7)))\/s)**(22\/7) assuming s is positive.\nAnswer: s**(5998\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 84. What is the greatest common divisor of i and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8b95 (base 13) to base 4\nAnswer: -10301211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -357, -183, 101, 501, 1023, 1673, 2457, 3381?\n\"Answer: h**3 + 49*h**2 + 20*h - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(66) + -2*sqrt(66)*-1 - sqrt(66) - sqrt(66) - sqrt(66)))\/(sqrt(36)\/((sqrt(84)\/sqrt(2))\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -6. Let j(s) = -s**3 - 9*s**2 + 12*s. Let z be j(y). What is the tens digit of (-2 + 32\/z)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/7, 11566, 0.1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-3 + 8 - 2) + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y + 2. Let q(v) = -2*v**2. What is c(q(x))?\nAnswer: -12*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - 126\/(-15)) + 1386\/110. Solve 6 = 3*c - 3*v, 4 = -j*c + 9*c - 2*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -63*r**3 + 3*r**2 - 3. Let m(j) = 3*j**3 + 2*j**2 - 2. Give 2*m(t) - u(t).\nAnswer: 69*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -915, -1082, -1369, -1788, -2351, -3070, -3957?\nAnswer: -5024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + f. Let d be n(-1). Suppose d*o - 2*l - 5 = 3*l, 2 = 2*o - 2*l. Solve 0 = -3*j - u - o*u - 4, 4*j + 5*u = -9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10 = b, -2*u - 9 = -b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*l - 112 = 0, 2*s + l - 104 = 92. What is the greatest common factor of s and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:18 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60892960 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -11*i. Let l(p) = -48*p + 12. What is b(l(y))?\nAnswer: 528*y - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 0, 20, 2, 4, -3, 36.\nAnswer: -123, -3, 0, 2, 4, 20, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -27*w + 20. Let z(s) = 11*s + 2. Let i be z(-1). Does 18 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -40.1 (b) 0.5 (c) 5 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t**2 - 2*t + 7. Is s(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.27 and 913.853407.\nAnswer: 914.123407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 51 = -5*n, -d - 3 = 4170*n - 4174*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -65, -97, -129, -161, -193?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13aa57 (base 15) to base 10\nAnswer: 947332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -222348 divided by 763?\nAnswer: -31764\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b*b**2\/b)\/b*b**(-1\/5)*b*b\/(b*b**(-1)*b)*b**2\/b assuming b is positive.\nAnswer: b**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**1)\/n)**(1\/3))**40\/((n*n*n*n**4*n**(-2))\/(n**1)**2) assuming n is positive.\nAnswer: n**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4755, -2, -1, 0, -3 in increasing order.\nAnswer: -4755, -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-411)\/12)\/((-10)\/40). Suppose 0 = -5*k - 2*m + a, -4*k - m = -114 + 2. Calculate the remainder when 111 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2869689526 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-35) + (-233)\/(-285). Let h = -97\/969 - g. Which is the third smallest value? (a) -0.5 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 145, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 5*z + 4. Suppose -14 = -d - 10. Let r be u(d). Suppose 10*f - 900 - 220 = r. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783875 to the power of 1\/2, to the nearest integer?\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - w)*((-12 - 17 - 73)*(w**4 - 3*w**4 + 4*w**4) - w**4 - 2*w**4 - 2*w**4).\nAnswer: -209*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 417 = -1717. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 61*y - 1 + 9 in the form f + t*y and give t.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llgggggglg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48913 or 1\/829?\nAnswer: 1\/829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 178, 479, 896, 1411?\n\"Answer: -3*y**3 + 85*y**2 - 67*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (-3 + (2 + 1 + sqrt(288) + 3)**2)*5).\nAnswer: -8000 - 3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 (base 10) in base 3?\nAnswer: 21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 690971*r + 37 = 690968*r, 0 = -4*a + 4*r + 56 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 137, 461, 1083, 2099, 3605?\nAnswer: 5697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 7*z**7\/120 + 77*z**4\/24 + 34*z**3 + 72. Let g(x) be the third derivative of i(x). Differentiate g(m) with respect to m.\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -887342 greater than 1\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/1198?\nAnswer: 3\/1198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2591? (a) -6\/5 (b) -0.2 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140)\/(sqrt(5) - sqrt(80)))\/sqrt(4) - (-5 + (-2*sqrt(7) + sqrt(7))*-1)) + 0)**2.\nAnswer: -40*sqrt(7)\/3 + 337\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:05 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, -1, -325, 3 in descending order.\nAnswer: 297, 3, -1, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -40*j + 0*j**2 + 0 - 67\/6*j**3 + 1\/6*j**4 + 0*j**6 - 17\/14*j**7 + 0*j**5. Find the third derivative of s(q) wrt q.\nAnswer: -3060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 28)\/(8\/(-2) + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20631.9 - 3183609?\nAnswer: -3162977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*h + 18 = 5*v, 0 = 5*v - 3*h + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10)*(0 + 5). Suppose 45 = 3*c - 3*t - 63, 4*t = l*c - 111. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -76) + 117 + -138.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2121270 + 4?\nAnswer: 2121274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {e: 10, n: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -460608881 divided by 460608881?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 645, 627, 605, 579, 549, 515, 477?\n\"Answer: -2*k**2 - 12*k + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5*q**3\/3 + q**2 - 2*q + 26. Let b(a) = 21*a**2 + 8*a - 9. Calculate 2*b(u) - 9*t(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 + 5*n**3 - n**3 + 3*n**2 - 10*n**3 - 27 + n as f*n + p + u*n**3 + a*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-10 - -1)) + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -61857 < -61811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659 - 671 = -2*m. Suppose -6*o + o = -m. Let a = o + -65. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 140 = 10*z + 141 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.1. Let u = -0.46469 - -0.564689. Let t = c + u. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15581.\nAnswer: 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 778642?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11883?\nAnswer: 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 4*z**2 - 10*z + 20. Let n be g(5). Let s(u) = u**2 + 1. Let w(b) = 5*b**3 - 6*b**2 - 6. What is n*w(l) - 30*s(l)?\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244334 + 44423?\nAnswer: 344312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 791902200 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/((27\/36)\/(45\/(-36)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3*y**2 - 4684852*b**3*y + 70894221*b**2*y**2 wrt b?\nAnswer: -30*y**2 - 28109112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014506444 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241102 (base 6) to base 16.\nAnswer: -51fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iybqi. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65501 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283778259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.3 - -14.82. Let q = -0.53154 + 0.05237. Let r = w - q. Round r to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.5 (b) 2\/11 (c) 0.09 (d) 33 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 3*c - 2. Let m be 1 - 2\/3*-3. Let k(j) = m*j - 2*j + 0 + 1 + j**2. Let z(y) = a(y) - 2*k(y). What is z(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8420*j**2 + 28*j + 21233 - 5546 - 28*j wrt j?\nAnswer: -16840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*y + 61, -6*z - 4*y - 25 = -11*z. Let t = -171 + 279. Suppose z*u - t = 7*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 + 432 = -39*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*h = -5 + 25, 2*s - h = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253959 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/13, -0.3, -6\/5, 0.0138.\nAnswer: -6\/5, -0.3, 0.0138, 18\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30785 and 5240.\nAnswer: 246280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4526 - 7174 = 1369*z - 4716 + 3968 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4112820, 4112822, 4112824, 4112826, 4112828?\n\"Answer: 2*f + 4112818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = -n + 9*l, l = -3*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/392 and -57\/833.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*u + 2, -22*i + 19*i - 4*u - 9 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehbq when four letters picked without replacement from {h: 3, q: 1, e: 4, b: 8, r: 1}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 611*g - 1526. Let u be w(10). Calculate the highest common factor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Solve y = 3*y - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19*w**2 + 83*w + 436. Determine y(7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8)\/((-40)\/(-64)). Sort -8, i, -0.1, -4.\nAnswer: -8, -4, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-3)*38\/(-1425).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58418 is divided by 14600?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/5 - 188*x + 6482\/5 = 0.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*d - 24, 3 = 3*u - 4*d - 3. Suppose b = u*b + 5*f - 20, -b + 2*f + 16 = 0. What is the smallest common multiple of b and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 16*s - 3. Calculate d(-11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/(-32))\/((-3)\/(-4)). Sort 4, t, 10, 1 in decreasing order.\nAnswer: 10, 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 5*w + 2*w + 7*w to the form q + c*w and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 744066051813.9603006 - 744066117964. Let a = 66097.0397 + c. Let y = -53 - a. What is y rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000 (base 2) in base 4?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 12*w**2 + 13*w - 14. Let u be p(11). Suppose 17*n - 13*n = u. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4477 and -80\/8547?\nAnswer: 94017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964570 is divided by 924.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 0.3 (b) 119303 (c) 0.5 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 6*x + 4. Let b be t(4). Let y = -7 - -9. Let m(f) = -f + f**2 - y*f + 6*f - 2*f - 3. Give m(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1264 + 237*q**4 + 429 - 1761*q**4 - 547 with respect to q.\nAnswer: -6096*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(88)\/(sqrt(8) - sqrt(200)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 1 - (1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121691 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -919.186 plus -205.1916?\nAnswer: -1124.3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213\/14 + 2539\/154. Find the common denominator of -67\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**5\/3 - 23*t**4\/8 + 113*t**3\/18 + t**2 - 14022. Determine g so that z(g) = 0.\nAnswer: -1\/10, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 794 and 2218039?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 812400 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 13*o = 11*o + 22, 4*o = 5*z - 8. Solve z*b - 11 = 4*u - 3*u, 4 = b + u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 90 = 5*l, 9*a = 5*a - l + 98. Suppose 0*o - 4*o = -76. Solve -z = -3*c - o, c - z - 4*z = -a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(0 + 3 - 2)*(6 - 1 - 3)*(0*l + 0*l + 2*l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeaeaa. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9018 - 3629. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -118. Suppose -k + 60 = 4*d, -30 = -2*d - 8*k + x*k. Suppose 0 = 3*l + d, m + 0*m - 156 = -2*l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51355000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-50627.9.\nAnswer: -405023.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-10)\/24*13\/((-247)\/38)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2b57838?\nAnswer: 2b5783a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -293aba (base 13) to base 11\nAnswer: -629417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 1 + 1)*(4 - 4 + 2) + 13*i - 11*i - 30*i in the form a + u*i and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*9\/(-342)*(-2)\/4. Which is the closest to 1\/4? (a) -0.2 (b) 4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 9. Suppose 19 + q = 2*c. Suppose -2*g + 4 = -w - 3, 5*g - c = w. Let u(m) = -4*m**2 + 1. Give u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2424\/76 - (4 + (-1482)\/361). Let i be -1 - (-14)\/((-4)\/(-2)). Suppose i = n - 10. What is the highest common factor of n and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06384*39.\nAnswer: 2.48976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14\/141, -4, -0.056.\nAnswer: -4, -0.056, 14\/141, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*o + 15 + 1 = 0, 5*o = -2*l + 4. What is the remainder when 71 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3875 - -1760. List the prime factors of b.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131.891 + 132. Let o = y + 0.6878. Let j = 0.8 - o. Round j to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 490.\nAnswer: 1\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 4.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-27)*k)\/k)\/k)\/k)\/k**(-2\/167) assuming k is positive.\nAnswer: k**(-4841\/167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306 - 307. What is the closest to -1 in h, 0.09, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/54)\/(644\/(-966)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 13*k - 11. Let z be m(5). Suppose 4*r + 2*b - 2764 = -120, 0 = -3*r + z*b + 2005. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1356 - -15.7544. Let g = x - 16. Let d = -271\/1179 - -1\/131. Sort -2\/3, g, d in decreasing order.\nAnswer: g, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8033 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2542 - 3.7458. What is the third smallest value in -2, 2, -0.6, 0.4, q?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 1313?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let h(x) = -x**2 - 3*x**2 + 18*x**2 - 5*x**2. What is s(h(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/1 + (-150)\/1120*-28)*(-16)\/(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -4*t + 8. Suppose -8*w + 79 = -t. Calculate the remainder when 29 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 20 = -4*v, 5*o - 7 = -v - 1. Suppose 0 = -4*s + 6 + o. Find j, given that j**2 - 2*j**2 + 2 - s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2531 and 3580.\nAnswer: -9060980","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*h**2*n**2 - 9*h**2*n + 3*h**2 + 315*h*n**2 + 8*n**2 wrt h?\nAnswer: -246*n**2 - 18*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9 + 2 + 7 + 6*r + 9*r. Let t(o) = 4*o. What is p(t(a))?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 6*q + v - 4 = 0, 4*q = 2*v + 24. Let l = 108 + -1297\/12. Which is the closest to 0? (a) 2 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6982, -9708, -12434, -15160, -17886?\n\"Answer: -2726*x - 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 404 = 46*m - 636. Solve 48 = -m*y - 28*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:33 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3626, -4413, -5200, -5987, -6774?\n\"Answer: -787*z - 2839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1208*l**2 + 686?\nAnswer: -2416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500009808 and 36.\nAnswer: 1500029424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -53*t + 698. Suppose 0 = -2*q + 4*q. Let p = q - -2. What is the least common multiple of u(13) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302*q + 53136 - 29005 + 35761 = 0 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 546906115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236975.\nAnswer: 5, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 + 6 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*r**2 + 231*r**2 - 42*r**2.\nAnswer: 277*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 743993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 36. Let d be z(-15). Suppose 2*i - 1 - d = 0. Suppose 3*u - 9 = 5*a + 5, 0 = 5*u - 5*a - i. Solve 10 = -u*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188948, 377168, 565390, 753614, 941840, 1130068, 1318298?\nAnswer: 1506530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**5 + 187*y**4 + 100*y**3 - 800*y**2 - 512*y + 208 = 0 for y.\nAnswer: -26, -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -71 (b) -1 (c) 1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**8\/420 + f**7\/630 - f**4\/4 + f. Let a(z) be the third derivative of y(z). Suppose a(j) = 0. What is j?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134831802 divided by 6.\nAnswer: -22471967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41566145?\nAnswer: 5, 8313229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4590 from -57684728.\nAnswer: -57689318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by (-14)\/(-4)*400\/70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 20*a**2 + 3*a - 15. Let m be l(-6). Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -5, 3, 44143?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose -4*f = -4*u - 56, n*f + 3*f - 2*u = 44. Suppose 200 = 14*m - 9*m. What is the highest common factor of f and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - -1.28. Are -4\/5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*c - 1756 = 0, 4*d + 20*c - 27*c - 7015 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 6*k - 1. Let g be (-5 - -6)\/(22\/(-8) - -3). Let i(m) = -4*m**2 + 0*m - m + 3*m**2 + 3*m. Give g*a(w) + 11*i(w).\nAnswer: w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-16923)\/(-9)*3*19\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -14 + (2 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - d + 4 = 0, 0 = -7*h + 4*h - 3*d. Suppose 786 = -9*a + 840. Suppose -h*s - 370 = -a*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 6, z: 2, g: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -7*u + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 2:19 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1539) + 5 + (sqrt(1539) + (sqrt(1539) + sqrt(1539) + -1*sqrt(1539))**2)*-1.\nAnswer: -1534 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 129697*c**3 + 3 + 0.\nAnswer: 129697*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 0.844 in descending order.\nAnswer: 8, 0.844, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:51 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 10\/7*t + 12\/7*t**4 + 4\/35*t**5 + 51\/14*t**2 + 85\/21*t**3 - 97. Determine a, given that s(a) = 0.\nAnswer: -10, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*p**4 + 61*p**4 - 26*p**4 + (3 - 3 - 1)*(3*p - p**4 - 3*p) - 2 - 2*p**4 + 2 - 27*p**3 + 101*p**2 - 2*p - 210*p**2 - p**4 + 108*p**2.\nAnswer: 82*p**4 - 27*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -190264 times -5\nAnswer: 951320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 - 16 = 0. Let v(y) = z*y + 94 - 94. Let q(m) = 6*m - m - 3*m. What is v(q(f))?\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3 - 8*f**2 - 159*f + 1.\nAnswer: 12*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43930 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5, 1.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 1446 + 1131. Calculate the least common multiple of o and 33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*15\/((-600)\/32)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*(-4)\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417 is divided by 457.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 212, 351, 510, 683?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 + 1440?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Suppose 2*w - 3*w = -3. Solve 2*j + w*y = 2*y + 13, p*y = -4*j + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353830755 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 66. What is the fourth smallest value in 1, -0.1, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134390 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4\/7, 25, -166, -41?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:31 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3911831 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -24. Let r be (-46)\/(-4) - (-9)\/18. Suppose 4 = 4*v - r. Calculate the greatest common divisor of v and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y - 132. Suppose 7*h - 176 = -232. Determine l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.4 from 45597983536.\nAnswer: 45597983533.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825198192 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1580*t**3 - 49*t**2 + 1169508 wrt t.\nAnswer: -4740*t**2 - 98*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 o, and 1 d when three letters picked without replacement from {q: 5, f: 1, e: 3, o: 7, d: 2}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 391*f**4\/4 + 5*f**3\/3 + 7*f - 315. Find the third derivative of n(b) wrt b.\nAnswer: 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 - 263 = -11*x. Solve 4*o - 10 = -2*p, x*p - o = o - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(6*i - 3*i - i - 4).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 2*f + 15*f + 6*f - 17*f - 4*f + f + 4*f + 3*f + f - 5*f + (3 + 1 - 2)*(-f + f - f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231321002 - 1?\nAnswer: 2231321001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 4*g**3 + 5*g**3 + (6*g**2 + 8*g**2 - 4*g**2)*(2*g + 1 - 1) + (0*g**2 + g**2 - 2*g**2)*(g + 3 - 3).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11256 is divided by 1098?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214.3 - -193.28. What is v rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-399)\/14*8\/(-6) is divided by 6 - ((-102)\/3)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*o**5 - 2*k**3*o**2 - 18*k**3*o + 3*k**3 + 142*o**2 wrt o?\nAnswer: 20*k**3*o**3 - 4*k**3 + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 22 - 41 + 45. Let r be n(-12). Suppose r*l = 14 + 12. What is the remainder when l is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1597 + -20771\/13. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*d + 13018 + 14*d - 70*d + 2*d - 705 to h + n*d and give h.\nAnswer: 12313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 2*s**2.\nAnswer: -2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8*d**2 - 56\/5 + 4\/5*d**3 + 92\/5*d = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. Suppose w - 5 = -x*w - m, 3*m = 3. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -4. Let w be (-3)\/2*(p + 2). Solve 0 = -w*a + 7*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-2\/7))\/w))**(-3\/13) assuming w is positive.\nAnswer: w**(-15\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-1 - -3 - 0). Let y be (l\/1)\/4*-941. Suppose -227 + y = 6*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfllfll. What is prob of picking 1 n and 2 l?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z + 0*z)*(-1 + 1 - 3) + 0*z**2 - z**3 + 0*z**2 - 68*z**3 - 58*z**3 - 59*z**3 - 527*z**3.\nAnswer: -716*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-3)\/(-2) + -1). Let g(z) = z**2 - z - 3. Let m be g(c). Suppose 0 = -m*b - 2 + 17. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -24*j**2 - 305*j - 268. Give f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and 0.23?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110607 divided by 6?\nAnswer: 36869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(2*r**2 + r**2 - 2*r**2) - r**2 - 3*r**2 + 3*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 4*p**7\/27 - 41*p**6\/135 - 28*p**5\/45 + 37*p**4\/54 + 28*p**3\/27 + 4*p**2\/9 + 35*p - 2. Solve u(c) = 0 for c.\nAnswer: -1, -2\/7, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j + 23*j - 21*j + 3 - 18*j to c + n*j and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1042.6.\nAnswer: 521.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 0 = 3*y - 2*y - 9. What is the highest common factor of c and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.11 + -59. Let o = v + 0.89. Let s = -5 + 3. What is the closest to 1\/2 in s, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/7 - 12359*q**3\/7 + 50910840*q**2\/7 - 69883604800*q\/7 - 69934528000\/7 = 0. Calculate q.\nAnswer: -1, 4120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 199\nAnswer: -9.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -43*y**3\/6 - 3*y**2\/2 + 42*y. Calculate the lowest common multiple of s(-1) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864046 - 5813.92757?\nAnswer: -869859.92757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2530*d**2 - 455*d + 5345. Let b(i) = -230*i**2 - 42*i + 486. Let r(a) = -65*b(a) + 6*y(a). Differentiate r(h) wrt h.\nAnswer: -460*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.322667 to 1 dp.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.649604 months to millennia.\nAnswer: 0.001637467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2\/5783, 38, 1\/2, 2 in descending order.\nAnswer: 38, 2, 1\/2, 2\/5783, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 158*v - 149*v + 3 + (-3 + 2 - 1)*(-2*v + 2*v - 3*v) + 11*v + 4 - 4.\nAnswer: 26*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - 8, -3*r - 10 = -a. Let m be 35\/15 + a\/6. What are the prime factors of (-1)\/(m\/(-4)) + 10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 + 190. Solve b = -4*r - 3*b - 16, w = 2*r + b + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/12 + 4*j**3\/3 - 41*j**2\/12 + 13*j\/6.\nAnswer: -j*(j - 13)*(j - 2)*(j - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 - 6*f**2 + 1. Let q = 6 + -2. Let w be y(q). Let x = w + -50. Is x 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 23694, 47351, 70998, 94629, 118238?\nAnswer: 141819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -1b?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/12*z**4 + 0 - 1\/3*z**3 + 0*z + 8*z**2. Let r(w) = 4*w + 5. Determine -7*a(x) - 3*r(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 38 = 2*d, -5*r + 0*r - 3*d = -87. Suppose 18 = 3*w - r. What is the second derivative of -1419*k**4 - 22*k**5 + 1419*k**4 - w*k + 4*k wrt k?\nAnswer: -440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71522605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4703\/215 + -72\/43. Let g be (-2)\/(260\/(-2866)) + -2. Let r = c - g. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 12*y - 10. Calculate g(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6655157 millilitres?\nAnswer: 0.0006655157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Let k be 68\/10 - (-1)\/o. Let h = k + -4. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368 - -424.04. Let x = -56 + n. Round x to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(605)*2)**2.\nAnswer: -132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) -2\/3 (c) -369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*a**3 - 9\/2*a + 1\/4*a**5 + 0 - 5\/4*a**4 + 21\/4*a**2.\nAnswer: a*(a - 3)**2*(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 + 290 - 9*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36994*i**2\/7 - 75248*i\/7 + 360 = 0 for i.\nAnswer: 630\/18497, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxawwwwawwa. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.454 and 828874?\nAnswer: 828873.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-14)*35\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 33\/201154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 4. Let u be w(-8). Let o be (63528\/(-819))\/u + 2. Let y = o + -66\/91. Calculate the common denominator of y and -97\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9692317 divided by 12161.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1705 - 1823 = 0. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 + -4.38. Let z = a - -5. What is the biggest value in z, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115598551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**(-13)\/(z**(1\/10)*z**(4\/3)) assuming z is positive.\nAnswer: z**(-1213\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(1*(-8)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11997, -11992, -11987, -11982, -11977?\nAnswer: -11972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -7, -1\/5, 18, -4.\nAnswer: -7, -4, -1\/5, -1\/8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584952803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/(-5)*2\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15867356 divided by 5?\nAnswer: -15867356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5 - 10. Suppose -q*o = o - 20. What is the second derivative of -r**2 + 5 - o - r + 4*r**2 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 22.81\nAnswer: 0.20529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from {i: 2, f: 1, d: 1, s: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 434 - -0.4437\nAnswer: 434.4437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 14320232011?\nAnswer: -14320232011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 1, n: 1, k: 1, e: 1, q: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26966, 107911, 242838, 431747?\n\"Answer: 26991*l**2 - 28*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 1 + (-4*(3 + sqrt(539)))**2 + 5*sqrt(539)*1)*-5.\nAnswer: 17675*sqrt(11) + 219225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 + -288. Let q = c - -133. Suppose -q*p - 31 = -634. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibib when four letters picked without replacement from {b: 7, i: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72944087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1215\/140 + -8 + (-1)\/4\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367 - 475. Let m = x - -118. Calculate the lowest common multiple of 26 and m.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + 2*sqrt(128) - sqrt(128))**2 - sqrt(128) - (-2*sqrt(128)*-4 - sqrt(128))).\nAnswer: -264 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from jrervrrek.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1254*q - 6643 = -1255*q. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 + 2*v + 0*v + 5 - 4*v. Let i = 115 - 82. Let l = -24 + i. Let m(t) = -13*t**2 + 5*t - 11. Calculate l*k(d) + 4*m(d).\nAnswer: 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccxmxh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away -13.886?\nAnswer: 14.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4618 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1326996 to 2 decimal places.\nAnswer: 4.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 1\/28, -0.3, -440, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6576742 * 13.\nAnswer: -85497646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/6*(-78)\/(-26)*(-4)\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64412 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.800354 litres?\nAnswer: 1800.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 2.6. Which is the smallest value? (a) -0.5 (b) 3\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16461123 to the power of 1\/2, to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1074 = -0*a. Let p = a + -1749. Is p\/(-2) + (-14)\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -477645360 and 0.1.\nAnswer: -477645359.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/24 - 129*g**2. Let f = 10 - 4. Let i(u) = -4*u. What is f*d(m) - i(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.027 + -28.473. Let v = -29 - r. Sort -0.3, -2\/11, v in decreasing order.\nAnswer: -2\/11, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6387140 - 4?\nAnswer: 6387138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75637638 divided by 2?\nAnswer: 37818819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137249 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 18*m**2 - 24*m - 97. Give q(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 + 289*h + 372. Give y(-71).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.788 - -0.7. Let l = 0.119 + j. Let u = l + -0.030901. Round u to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -0*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 5 = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6090 divided by 6090\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/79 + 73\/237. Let w = -7 - -8. Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52431 + -4?\nAnswer: 52423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30\/115 - (-7930)\/(-598)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10302*h**3*i**3 + 5*h**3 - 208*h**2*i**3 - 2*h*i**3 - 9743427*i**2 wrt i?\nAnswer: 61812*h**3 - 1248*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 2858*z + 2852*z - 11488*z + 2851*z + 2927*z.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + (-2 + 4 - 3) + -24?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3186822 is divided by 3344.\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(99))*-1 + 2 + -1 + (sqrt(99) - (4 + sqrt(99) + -1)))**2 + -1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwywwwywyyyywv. Give prob of picking 3 v and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15991\/22 - 724. Let j = 85429\/10788 - 2\/899. Calculate the common denominator of u and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1563 + -31?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c - c**3 + 9*c + c**4 + 1 - 1 - 3*c**4 + (7*c**2 - c**2 + 4*c**2)*(-c**2 + 0*c**2 + 0*c**2).\nAnswer: -12*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-48)*-6*-6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144 times -5?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -118. Is -6 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -14 - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24264191 is divided by 65.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1386 and 5\/23328.\nAnswer: 1796256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -595, -1377, -2455, -3829, -5499, -7465?\n\"Answer: -148*v**2 - 42*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1548222 and 173\/3339810?\nAnswer: 998603190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/27 + (-945)\/(-324)*(-1344)\/(-180)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391639697*s**3 - 228978779*s**2?\nAnswer: 2349838182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.8 + -6. Let j = -522 - -524.1. Let s = 257\/332 + -2\/83. What is the nearest to 0.1 in d, s, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose -r + 8 = 5*o + 25, 4 = 4*r + 2*o. Solve c = v - 0 - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4513*g + 4513*g + 4*g**3 - 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1632721 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -55 (c) -0.01 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**2 + 3*f. Let r(i) = -19*i**2 - 2*i. Let a be (-8 + -13)*(-2)\/14. What is a*r(b) + 2*s(b)?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*j - 297. Suppose 26*c = 450 - 1880. Let p = c + j. Solve 6 = 3*t - 3*a, -t + 0*t - a + p = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvxvgvx. What is prob of sequence xvg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (19 + (2 - -4) - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/241 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.059994 - 109.99. Let i = 0.07 - z. Let h = 0 - i. Round h to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-1 + (sqrt(3) + -2 + sqrt(3) + 3 - sqrt(3)) + -1)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u + 34*u - 68. Let s = -25 + 58. Let l = s - u. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:19 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (162\/30)\/((-3)\/(-30)). Calculate the greatest common factor of 702 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 2 j when four letters picked without replacement from bjbtsbbbjbbtdtdt.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*c - h, 0 = 2*c + 2*h - 5*h - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*s**4 - 949*s**3 - 14*s + 9*s + 1 + 949*s**3 to the form g*s + r + v*s**4 + u*s**3 + c*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - s = -8, 4*s = c - 0*s - 2. Let i be (1 - -1)*3\/3. Suppose -5*o - c*n = 2*n - 17, 29 = 5*o - i*n. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 28*t - 176\/3.\nAnswer: 2*(t - 44)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 18. Put -1, -4, -2, v in descending order.\nAnswer: -1, -2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, -18, 9, -4 in increasing order.\nAnswer: -18, -4, -3, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 100*u**2 + 2*u + 689. Determine m(-100).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 113*r**3 - 8*r**2 + 3*r + 8. Let i(b) = 76*b**3 - 5*b**2 + 2*b + 5. What is 5*a(q) - 8*i(q)?\nAnswer: -43*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1564 and -9\/176.\nAnswer: 68816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720895 is divided by 453.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30339814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:42 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d58d (base 14) in base 7?\nAnswer: 212136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.015, 4, -464.\nAnswer: -464, -3\/5, 0.015, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = 3*l - 65*l. Calculate the highest common divisor of 513 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 2*i + 1. Let o = 6 + -9. Let r be l(o). Let m = r - 37. Calculate the remainder when 11 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3003081, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264 - -266. Sort -22, -5\/4, m in increasing order.\nAnswer: -22, -5\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -55. Suppose 4*w = 5*b + 61, 60 = 3*w + q*b - 3*b. Calculate the remainder when 46 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (38*(-3)\/(-12))\/((-1)\/(-6)). Suppose o + j = 5*d + 30, 3 = -d + 3*o. Solve d*v = v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -72. Suppose -4*g = -w - 59, b*w = 4*g + 4*w - 49. What is the smallest common multiple of g and 3 + -4 + 13 + 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = -0*w + 300. Suppose -l + w = 40. What are the prime factors of 20\/(-25) - (5628\/l)\/4?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 3*u + 1323 = 0. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9507*j + 126. Let h(m) = -6338*m - 84. Let w(u) = -5*f(u) - 7*h(u). Let x be w(-18). Round x to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - 11) + -1 + 1. Let k = -1 + m. Let y be 16\/7 + 6\/k. Solve -5*a + y*q = q + 3, 2*a + 2*q = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5 (c) 1\/3 (d) 3 (e) -4 (f) -1874\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-3 - (-5)\/(5\/4)). Let f be ((-17)\/((-476)\/64))\/((-8)\/28). Sort i, 5, f in increasing order.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 + 4*b + 1. Let t be z(3). Let s be (t - (1 - -2)) + 2. Solve -5 = s*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u. Let d(y) = -45*y - 27. Let o(x) = d(x) - 6*z(x). Let s(j) = 14*j. Calculate o(s(c)).\nAnswer: 42*c - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 89 = -62*c + 254 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 89707 (c) 2\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 2\/7, -0.2, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 3*z - 531 - 114 + 503.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(6 + 133\/(-21)). Let q = o + -21. Solve 0 = q*n - 2*g + 3, -2*n = 3*g + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*u + 35. Let k = u + -11. Let r be 6\/k - 72\/130. What is the smallest value in r, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 28. Factor -4*n + 3 - n - j*n + 9*n**2 + 1.\nAnswer: (3*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -6 - -6)\/2. Which is greater: 27 or h?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2. Let a(w) = -w + 1. Let c be (-4)\/(-2)*(7 - 2). Suppose 6*g + 4 = c*g. Let p(o) = -o + 4. Let n(r) = g*p(r) - 4*a(r). Determine n(d(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 6.1. Which is the third smallest value? (a) 22 (b) 0.2 (c) f (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -3*c**8\/560 + c**6\/40 + c**3\/2 + 2*c**2. Let z(n) be the first derivative of h(n). Find the third derivative of z(i) wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 - 228*t**2 - 8295*t - 45864 = 0?\nAnswer: -21, -7, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.515153l in millilitres?\nAnswer: 2515.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/5 - 27*z**3\/5 + 159*z**2\/5 + 27*z\/5 - 156\/5 = 0. What is z?\nAnswer: -13, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(10) + sqrt(10) + (sqrt(360)*2 - sqrt(10))))\/((sqrt(45)\/(1*sqrt(3)))\/sqrt(3)).\nAnswer: -52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/8, -33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299516?\nAnswer: 2, 7, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q, 0 = -5*t - 0*t - 2*q + 48. Solve t = -5*k + 30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765644.\nAnswer: 2, 11, 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.025 (b) 4 (c) -291309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840138106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and (-57)\/(-6) - (-5)\/(-10)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 - 3*d + 1. Let t(y) = 113*y**2 + 8*y + 1. Let x(f) = 97*f**2 + 7*f + 1. Let k(l) = 6*t(l) - 7*x(l). Determine -i(u) - 2*k(u).\nAnswer: -u**3 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62034 take away -382?\nAnswer: 62416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55999703 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:31 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -101220?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 6344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 2 = n + 11*v, 4*n + 8 = v. What is the units digit of 1343 + n\/2 + 6\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 147*x - 169. What are the prime factors of n(4)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 27, 26, 29?\n\"Answer: 2*y**2 - 11*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 + 2*o**4 + (-2 + 4 + 0)*(2*o**4 + 2*o**4 - o**4).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.81536527 to three decimal places.\nAnswer: 6.815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 740075029 - 325632835497\/440. Let v = f - -147\/40. Let j = v - 407. Calculate the common denominator of 3\/5 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s - 8312. Let g = s - -3812. Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qrfrqrrrqfqqq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1\/4 (b) -9 (c) -1\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1001100111001 (base 2) to base 13\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 - -326.0000825. What is i rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130984*-0.0644\nAnswer: 72835.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 16*q**2 + 438*q + 7011. What is b(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = m, -2*v + 28 = 2*m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120110 - 10010220220?\nAnswer: -10011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:09 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 + d + 1. Let k(g) = 5*g**4 - 9*g**3 - 16*g**2 + 16*g - 4. Let q(w) = -k(w) - 4*y(w). Factor q(a).\nAnswer: -5*a*(a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -25970?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 803837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 4*t + 4. Let s(j) = j**2 + j - 2. Let r be s(2). Let z be w(r). Suppose -20 = -0*n - n + 5*c, -8 = -3*n + 2*c. Solve -3*d - d - z = n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -627*v**3 - 12*v - 12. What is t(-1)?\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/45136 and -71\/224.\nAnswer: 90272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -6\/5*f**3 + 3\/5*f + 12\/5*f**2 + 3\/5*f**5 - 6\/5 - 6\/5*f**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*k*r**3*v**2 + 6*k*r**3*v + 267*k*v + 3*r**2*v**2 wrt r.\nAnswer: 102*k*v**2 + 36*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.029629 rounded to two dps?\nAnswer: 50.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 50 = 5*t, 3*d + 5*t = 36 + 4. Let y be (-2)\/2*(-8 + 11). Put y, 1, d in descending order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/4? (a) 0.1 (b) -0.211 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/24 - z**3 - 6*z**2 + 600*z + 2. Let q(g) = g. Give 3*q(a) + x(a).\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7235, 959, 0 in descending order.\nAnswer: 7235, 959, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*r - 17, -38 = 6*b - 2*b - 2*r. Let g(c) = 2*c + 23. Let h be g(b). Solve 2*n = h*s, 2*s + s - 3*n = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/9 and 79\/1083.\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 + 21*y**2 - 2.\nAnswer: 21*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2934144 years to centuries.\nAnswer: 0.002934144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 3, t: 2, p: 3, w: 3, n: 2}. What is prob of picking 1 n, 1 w, 1 x, and 1 t?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 5. Let j(s) = -s - 2. Let i(u) = u + 5. Let g(a) = n*i(a) - 7*j(a). What is the tens digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + 0 - -1 - 13) + 1. Let d = 0.7 + 0.3. Let i = -11 - -2. Which is the nearest to d? (a) i (b) 3\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -4?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 79?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4756 - 4757. Which is the nearest to -2\/267? (a) z (b) -0.2 (c) 4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000853 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -7 + 16, 0 = 5*p + n - 28. Suppose p*d = 6*d - 1. Which is the biggest value? (a) d (b) 5\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-129)\/16)\/((-81)\/36) and 47\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 0. Let q(h) = -5*h + 6. Let f = -38 - -50. Let u(z) = 9 - f*z - 2*z + 0*z + 8. Give n*q(c) + 4*u(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 606.6818ml?\nAnswer: 0.6066818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3)*-1*-6 + -2.\nAnswer: -2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48790 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - -c?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010791524 to seven dps.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911092 less than or equal to 6911092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**9\/1512 - j**6\/180 + j**3\/2 + j. Let s(g) be the second derivative of m(g). What is the third derivative of s(f) wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145169000*d**3 + 51876441*d**2.\nAnswer: 871014000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21177, -60156, -125121, -216072, -333009, -475932?\n\"Answer: -12993*p**2 - 8184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -26. Let z be ((-12)\/r)\/(4\/(-10)). Solve -2*q = -i - 12, z*i + 4*q = -0*q + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -12 + 23 - (9 + -30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = 2. Let a(r) = -r**2 + 3*r + 8. Let q be a(j). Let t be -36*(-3 + q\/(-4)). Calculate the highest common divisor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 27559 - 2*x + 27579 - 6*x.\nAnswer: -x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -10*x + 274. Let n be j(27). Put -13, -5, n, -20, 3 in descending order.\nAnswer: n, 3, -5, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3002201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -16, -17?\n\"Answer: -y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 - 2744*y**2 + 6492*y + 5544.\nAnswer: -4*(y - 3)*(y + 231)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1412190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 1:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 381415603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 122.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + (-8)\/(-3). Let f be -1*1\/6 + (-29830)\/(-60). Suppose -f + 8 = -m*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160564 rounded to the nearest one thousand?\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/(-3))*398169\/(-103229).\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + y + (-3*y - y + 2*y)*(-6 + 1 + 3) - 20*y + 8*y + 14*y - 511 + 0 + 0 - 2*y - y + 4 - 4 + (1 - 1 - 2)*(-3*y + y + 0*y).\nAnswer: 9*y - 511","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x - 5*x - 67*j + 566, 23 + 61 + 22 = 19*x - j for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 20) + -4 + -4 + 2 - 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.153859 and 0.03.\nAnswer: -0.123859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 11. Let i = h - 12. Put -4, i, 3 in ascending order.\nAnswer: i, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489608\/7056 + 42\/(-108).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -1109*s**9\/252 - s**7\/105 - 7*s**5\/20 + 22*s**3\/3 - 3*s**2 - 5*s + 85. Find the third derivative of g(a) wrt a.\nAnswer: -266160*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1720.684 millennia?\nAnswer: 172068.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((100\/15)\/5)\/(4\/(-42)). Let r(q) = q**3 + 14*q**2 - 13*q - 27. What is the hundreds digit of r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 6 + 3 + 1 + 1 in the form z + o*g**2 + q*g and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 5 + 31066*z**2 - 31066*z**2 + 6*z**3 in the form f*z + v*z**3 + u + m*z**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 + 0.9. Let s = -1.1 - k. What is the third biggest value in s, 0.4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-574))\/((-88)\/77)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 12. Let v be g\/(-8)*(-13 + 1). Suppose -3*r - z + 20 = 0, 2*r - 2*z = -v*z + 10. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01015322874 rounded to four dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*4\/(-8). Let b = -470\/9 - -4691\/90. What is the nearest to -2 in 89, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:46 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 4946*s - 4950*s + 21, 3*b - s = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 539*x**3 + 55*x**2 + 55*x + 55. Let k(o) = 2*o + 121 + 20*o**3 + 2*o**2 - 48 - 71. What is -2*c(u) + 55*k(u)?\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2656*g = 2654*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 5:04 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*c**2\/3 + 2*c\/3.\nAnswer: 2*c*(64*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 4}. What is prob of sequence ppq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 49*k**2 - 855*k + 370. What is u(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - 2) - (8 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -27. Is -0.6 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1803 + 3554. What are the prime factors of m?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.44. What is i rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + 67915\/(-3). Let y = 15607 + s. Is (-3)\/(117\/(-6)) - y\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -4 + 6 - 0) + (-7 + -6 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -611984*j**2*n**4 + 7*j**2 + 2*j + 5527 wrt n.\nAnswer: -2447936*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16825 = 32*d + 87*d - 13996. Solve -d*h + 265*h + 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(36\/81 + 4\/(-6)). Solve j + q = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((157920\/(-21))\/(-47))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -588.37 and -0.1.\nAnswer: 58.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ers when three letters picked without replacement from ssnsnnnnehrehsseeeh?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:50 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41052*t - 40309*t + 20804 = 0 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1944 = -2*z - 10*z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8519 (base 10) in base 7?\nAnswer: 33560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from yyzpypl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54500984*h**2 - 37384708.\nAnswer: 109001968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - n**4 - 476*n - 797*n - 2*n**2 + 13 + 1271*n as p + u*n**3 + j*n**2 + q*n + t*n**4 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255 - -257. What is the nearest to 2\/7 in f, -0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/166144 and 1\/2596?\nAnswer: 166144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 510.33mm?\nAnswer: 510330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6148.476 centuries to millennia.\nAnswer: 614.8476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 3 (b) -6 (c) -40\/7247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3303.5 (b) 5.4 (c) 0.4 (d) 3 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35099657*x**4 + 4*x**3 + 31339*x**2 + 99 wrt x?\nAnswer: -842391768*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037106.\nAnswer: 2, 37, 43, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + 7*y + 1. Let p be t(-2). Let h be (p - 6) + -14603 + 6. What is h rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*m)*(-315 - 52*m + 315)*(-45 - 36 + 83 - 22*m) in the form h*m + q + u*m**3 + a*m**2 and give u.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600568.\nAnswer: 2, 3, 19, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*v**2 - 212*m**3 - 19*m*v**5 - 19*v**5 - 169*v wrt v?\nAnswer: 8*m**3 - 380*m*v**3 - 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 - 3*o - 3. Let c be q(-3). Let w be (8\/5)\/(c\/150). Solve -w = l - 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/(-275)*(522\/12)\/(-29)*(-1)\/(-51)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2)*(-2 + 1 - 2)*(-2 + 4 - 3)*(-2 + 1 + 2*h + 0) as c + d*h and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = 2*w, -3*w - 5*k - 8 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -940 - 103*k + 93*k + 12*k to the form z*k + a and give a.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.87 + 12.98. Which is the nearest to -3? (a) 6 (b) j (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1504343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 40 = 2*x, 9*x - 4*x = 4*y + 52. Let d = y - 10. What is the remainder when (-12)\/d*(0 - (-243)\/6) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/9, 9, 3\/5, 2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7968 and 35859.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 7*i**2 - 7*i + 2. Suppose -6 = q - 1. What is o(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**7\/35 + p**5\/30 - 4*p**2. Find the third derivative of t(w) wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (193\/(-2) + -3)*(-13 - 11). Calculate the greatest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1692 + -1389. Calculate the remainder when b is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(102) + sqrt(102) + -1*sqrt(102)) - sqrt(102)) + 3*sqrt(102)*-2)\/(1*(sqrt(150) - 5*(-3*sqrt(150) + sqrt(150)))).\nAnswer: -sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9621)\/2138)\/(6\/(-28))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128532 divided by -32133.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z + 4. What is the remainder when 65 is divided by y(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-100) + (66\/(-5))\/(-3). Suppose -56 = -f*h + 2*h - 2*j, -4*j = -4*h + 96. Suppose -2*u - h = -132. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2313.23 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 13. Suppose 5*w - 7 = 4*w. Let k be z(w). Let p = 44 + k. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -69, -2, -5 in decreasing order.\nAnswer: 4, -2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420750*o - 1488 = 421246*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21339295644.6 - 0.04.\nAnswer: -21339295644.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 1816*v**2 + 189044*v - 2773264 = 0 for v.\nAnswer: -268, -199, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121.82 - -122.82. Let s = 5.4 - 6. Suppose -5*d + 4*i + 17 = i, -11 = -3*d + i. What is the nearest to 0.05 in y, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)\/(273\/195*(-10)\/(-12))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 26600 - 26656 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13351, -13322, -13297, -13276?\nAnswer: -13259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y - 1. Let v be -10*(5\/(-2) - -2). Suppose 2*t + 3*u + 18 = v*u, t + 19 = 3*u. Is h(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(8\/78972)*(-200)\/120 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bb344 (base 14) to base 16.\nAnswer: -382860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-64 - -66 - (0 - -5) - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, 0.4, -1.9, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**27)**(-14) assuming d is positive.\nAnswer: d**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) 0.0085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -71 + 5 - (-15 + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:46 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let d(x) = -5*x - 5. Let t(v) = -d(v) - 4*l(v). Let b be t(-5). Solve -3 = 3*z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500) - sqrt(500) - sqrt(500)) + -2)*4 + sqrt(500)*-3*-2 + 5.\nAnswer: -11 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/((-8)\/3)*(-1 - 60). Let q = 258 + x. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253076 - -253079. Factor 0 - 3\/4*k**u + 9\/4*k**2 + 3*k.\nAnswer: -3*k*(k - 4)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**3 + 5*w**2 + 17*w - 32. Let r be z(6). Let o = r + -1180. What are the prime factors of o?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)\/q*q)**5\/(q**12\/q**3) assuming q is positive.\nAnswer: q**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/8) + (0 - 0). Solve -4 = n*y + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2664, -5306, -7894, -10398, -12788, -15034, -17106?\nAnswer: -18974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-308*g**4 + 136*g**4 + 155*g**4)*(-2*g + 1 - 1).\nAnswer: 34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 3*c + 11*x, c = x - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 11\/2*q**5 + 0*q**2 + 0*q + 0 - 10*q**4.\nAnswer: -q**3*(q + 2)*(11*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + -3*(sqrt(5) + -1) - sqrt(50)\/(1*sqrt(10)*-2)))**2.\nAnswer: -30*sqrt(5) + 269\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -13 + (12 - 10) + 1 + 0?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132305875514 - 4?\nAnswer: -132305875518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/51 (b) -5 (c) -15 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 17*h + 44. Let g be q(-14). What is the biggest value in -3\/8, g, -0.54, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219726161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. Suppose 2*p = -k*p - 12. Which is the third smallest value? (a) 2\/13 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*b**3 + 22*b**3 - 5*b**3 + b**3 - b**3 + 2*b**3 + (5*b**2 - 2*b**2 - 2*b**2)*(b - 4*b + 2*b) + (2*b**2 + 1 - 1)*(-4 + 4 - b).\nAnswer: 62*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 436.24 - 984. Let s = -520.677 - z. Let c = s - 27. What is c rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f**2 - 750*f + 5. Let j be k(50). Solve -79 + j = -37*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50423.6792 to the nearest 10.\nAnswer: -50420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -14. Suppose -d - r = -3*g - 31, 0 = 4*d + 2*g - 106. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-572)\/(-3718) - 40634\/(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32978*i**2 - i + 2813 wrt i?\nAnswer: -65956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let h = p - 0.2. Let q = h - 0.3. Put 0, -4, q in descending order.\nAnswer: 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(3\/4)*h)\/h)**(-4\/13))**(-47) assuming h is positive.\nAnswer: h**(329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -38. Find the second derivative of -88*l**3 - k*l + 106*l**3 + 3 - 3 wrt l.\nAnswer: 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3) - (38880\/(-7176) + 12\/26)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2\/2 - 51460*h - 264813160 = 0?\nAnswer: -10292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16123*v**4 + v**2 + 100*v + 5 wrt v.\nAnswer: 386952*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f)*(817*f - 7135*f + 1505*f - 3726*f).\nAnswer: 17078*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q**4\/2 - 981*q**3 + 5411*q**2\/2 + 4815*q + 1132 = 0. Calculate q.\nAnswer: -283, -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*r + 15 = -9, -3*u - 4*r = -30. Let m = 21 - 11. Suppose -y = -u*y + m. Solve -y*v - 2*v + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(48)\/sqrt(4))\/sqrt(4) + sqrt(3) + sqrt(147) + 3)**2 + -1.\nAnswer: 54*sqrt(3) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -15*n. Suppose 0 = g - 0*g + 4, 5*i + 3*g - 3 = n. Solve 12 = 3*l + 3*t, 6*l = i*l - t + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y - 1. Let u(d) = -70*d**2 - 18*d + 3. Let o(f) = -u(f) - 3*z(f). Let s(c) be the third derivative of -c**4\/12 + 2*c**2. Determine o(s(k)).\nAnswer: 292*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-18)\/68) - (-8)\/(-36). Let t be (-15 + 14)\/((6\/b)\/3). Solve t*z - 5 = -13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3230)\/68*(-42)\/70*2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10645149 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 5 + 2)*(-75*q + 38*q + 16*q) - 2*q + 2*q + 3*q)*(-q**2 + q**2 - 2*q**4).\nAnswer: -426*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*n**3 - n wrt n?\nAnswer: -810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 7*o**4 - 1 + 2*o**4 + 3*o**4 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1437*u**3 - 349272*u**2 - 5108*u**3 + 349272*u**2.\nAnswer: -3671*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3369 and -46\/19091.\nAnswer: 57273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1\/2*m**3 + 5*m + 0 + 1\/2*m**2 - 1\/24*m**4. Let v(p) be the first derivative of d(p). Calculate v(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*d = -604*d + 209064 for d.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33429920879+-2\nAnswer: 33429920877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*7 + (-2 - (-49)\/28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 11*a**3 + 2*a**2 + 6*a - 24. Find the second derivative of r(v) wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63781782, 127563569, 191345368, 255127185, 318909026, 382690897?\n\"Answer: z**3 + 63781780*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8478386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u. Let r be y(-1). Let f be (r\/(-9) + -2)*-9. Solve 4*t = 4, b + f*t = 6*t - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -222311?\nAnswer: -223003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 983\/14745*(-2)\/((-8)\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:31 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000110001010 (base 2) to base 8.\nAnswer: -60612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 15*m**3 + 4*m**3 + 5*m**2.\nAnswer: 19*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*i. Let b be 4 + (-3 - -1) + i. Let g be 1*(-1 - (-4)\/b). Solve -3 = 3*w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 minus 0.8?\nAnswer: -0.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121110 + -12?\nAnswer: -121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**5\/7 - 1896*w**4\/7 - 47500*w**3\/7 - 121064*w**2\/7 - 58512*w\/7 + 16928\/7 = 0. What is w?\nAnswer: -46, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 - -367. Suppose 810*h - 59782 = -321*h - 8887. What is the greatest common divisor of h and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 35*z**2 + 3*z - 116. Is 80 a factor of m(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-10 - (5 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*g - 34 + 34)*(5 - 5 - 1) as b*g + q and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 6282*u - 6230*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40803 - -40803. Factor 3\/4*u**2 + 3\/2*u - 3\/4*u**3 + o.\nAnswer: -3*u*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**3 + q**2 + 13*q + 15. Let s(r) = -4*r**3 + 7*r + 8. Let u(g) = 3*p(g) - 5*s(g). Determine u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/12 + c**3\/3 - 3*c. Let u be n(-2). Is -2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/5 - 24*v**2\/5 + 2*v\/5 + 24\/5 = 0 for v.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*n - 3 = 0, -4*n + 1 = -2*l - 1. Let h = -28\/1377 - -2\/567. Is l less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -12*u**5 + 27*u**4 + 27*u**3 - 48*u**2 - 36*u = 0.\nAnswer: -1, -3\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 0*w**3 + 2*w**3 + (-1 - 2 + 5)*(-3 + 3 + 2)*(w**3 + 0*w**3 + 4*w**3).\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w + 11. Calculate c(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -87707.69.\nAnswer: 35083.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 7. Let f(l) = l**2 - 5 + 3*l + 3 + 1 - 5. Let s(i) = -7*f(i) - 6*m(i). Find the second derivative of s(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 5*l + 42 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*(-406)\/(-39556)*-4.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + y**2 + 2*y + 1. Let o be z(-1). Suppose 8 = 4*r - 4, 0 = -2*x + r + 13. What is the remainder when (-3)\/o - (-284)\/x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + -29. Sort 5, t, 6 in decreasing order.\nAnswer: 6, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4776387\/(-164052) + 3\/(-28) + 25\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 + 768 = -4*n. Let k = -137 - n. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25912.10119 + 25901.4. Let x = 10.7 + l. What is x rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25251 minus -1.745?\nAnswer: -25249.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184441 <= -640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 5*i**2 + 5*i - 4. Let m be h(-6). Suppose -5*f - 183 - 52 = -5*x, 2*x = -m*f + 74. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6, 2*y - 3*s + 7 = y. Find the first derivative of -139*q**2 - 15 + 154 + 24*q**y wrt q.\nAnswer: -230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 5*k + 3*k)*(2*k**2 + 2*k**2 - 2*k**2) - 2*k**3 + 3*k**3 - 2*k**3 - 91 + 91 + 28*k**3 + 6*k**2 - k**3 - 6*k**2.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let a(f) = -6*f**2 + 4. Let n(q) = a(q) - 5*b(q). What is n(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 136 - 16*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 17*s - 33. Let m be k(4). Let q = 89\/340 - 1\/85. Factor 0*g - 1\/4*g**m + 0 + 1\/4*g**4 + 1\/4*g**5 - q*g**2.\nAnswer: g**2*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 19*c - 1440. Calculate the remainder when 495 is divided by c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2399997 - (1 + -2) - 4. Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 85, -42?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 - 94 = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2. Let t(n) = -5*n. Let p(l) = -l. Let d(b) = 6*p(b) - t(b). Calculate d(f(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 23 - 7*f**3 + 15.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 5. Let c be o(4). Suppose 3*s - 14 - c = 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 9*g**3 + 7*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 6*g - 5*h = -34, 3*g - 18 = -3*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*d - 59*d = 81. Solve -3*h + 0 - 13 = 4*g, -2*g + d*h = -7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -195*r + 204*r + 98 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 27 = -q. Suppose 0 = -6*z + 3*z - 123. Calculate the common denominator of 14\/(q\/(-33) + 1) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 894a5 + 971?\nAnswer: 8a366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.643765 to two dps.\nAnswer: 53.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - 4*u**2 + 4*u**2)*(5*u - 4*u + 0*u) + 2*u**3 + 0*u**3 - u**3 to the form x*u**2 + n*u + y + k*u**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/11)*i*i)\/i**(-25))\/((i\/((((i\/i**(-35))\/i)\/i)\/i))\/i**(-12)) assuming i is positive.\nAnswer: i**(530\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 453*p - 28668. Determine f(61).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14589*i*j**2 + 14*i*s**2 + 117*j**2*s**2 + j*s**4 wrt s.\nAnswer: 28*i*s + 234*j**2*s + 4*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4. Let g(l) = -l + 1. Let t be 25\/(-6) + 1\/6. Let f(c) = t*g(c) - k(c). Let p(n) = 2*n. Give f(p(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1, 40, -0.26, -2\/19?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**4 - 13*t - 2*t**4 - t**2 + 18*t**3 + 2*t**4 - 52*t**3 + 0*t**4 to n*t**3 + f*t**4 + i*t**2 + g + h*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**2 + 0*q**3 + 0*q**4 + 0 + 0*q - 1\/20*q**6 + 1\/70*q**7 + 1\/20*q**5. What is h in k(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 w when four letters picked without replacement from wwpwwwwwppwwwppwpw?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/15 - 5*t**4\/24 - 5*t**3\/3 - 6*t**2. Let u be j(-6). Let o = 175 + u. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 + 52*h - 57 - 31 wrt h.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2794*a - 106. Let p be w(10). Let q = -17359 - p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 16. Let i be t(7). Suppose -y = 4*l - 2*y - 1641, 808 = 2*l + i*y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-5)\/(-3) + (-17)\/3. Let j = 2 + 1. Let a(t) = t**2 - 2*t - 2. Let h be a(j). Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 77*u - 569 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -917 + 932. Solve -p*f + 30 = -9*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488981.4 - -2?\nAnswer: 488983.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 59\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*m**2 + 3*l**2 - 2*l*m**2 - 101077*l*m + 8332*m**2 wrt m?\nAnswer: -4*l**2 - 4*l + 16664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l - 4*t = 52*l + 68554, 3*l = -2*t + 102775. List the prime factors of l.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45823144 is divided by 226847?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:51 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + l = 727 - 730, 5*q - 53 = -4*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14828805*b**3 + 11*b**2 - 7010*b wrt b?\nAnswer: 88972830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 1. Let r(n) = -14*n - 4. Let q(t) = -11*p(t) + 4*r(t). Calculate q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q. Let c(k) = 6*k**2 + 7*k. Let z = 12 - 26. Let u(y) = z*f(y) - 2*c(y). Let n(v) = 27*v. Determine n(u(o)).\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times 12846?\nAnswer: -24407.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 - 191 = -2*j. Calculate the remainder when 74 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 - 1. Let z be g(1). Suppose 0 = 3*x - 7*x. Calculate the common denominator of (x + -5)\/((-6)\/z) and 46\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -7) + (-20 - -2). Let q = -18 - l. Suppose 2*g - 3*g = -2. Put 0.4, g, q, 22 in decreasing order.\nAnswer: 22, g, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**4\/4 - 32*c**3\/3 + 16*c**2 - 40*c - 1396. Give p(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 17 + 44 - 2 - (-29 + 23)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1475156*r**3 + 4*r**2 + 5339*r - 11 wrt r?\nAnswer: 8850936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2 = -3*m, 4*w + 2*m = 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)*(z\/(z*z\/z**(-2\/5)))\/z*z*(z*z**4)**(-30) assuming z is positive.\nAnswer: z**(-837\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350358201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -17. Let r be (z + -2 - -5)*4. Let j = r - -155. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3362\/9 - -374. Let n = o - -1\/18. What is the smallest value in 0.3, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2319 at most as big as -2339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.7 + 36.553. Let u = 0.373 + o. Let f = u + -0.22463. Round f to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 12. Let a(c) = c - 6. Let r be a(8). Solve -4*j - 4*l = -j, -r*j + 17 = -x*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -992884?\nAnswer: -1\/992884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 10\/(-4)*((-330)\/50 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -0.146, -80863 in descending order.\nAnswer: 0.01, -0.146, -80863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1178*g - 8. Let n(m) = -131*m. Let o(r) = -h(r) - 9*n(r). Suppose k = -2*k + 24. Let b be -1*3\/(3\/k). Determine o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2302*d*s**2 + 120950*d*s + 11*s**3 wrt s?\nAnswer: -4604*d + 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -4. Let u(o) = -o**2 - 18*o + 11. Let p be u(-19). Let n be (t\/(-5))\/(p\/20). What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmht when four letters picked without replacement from tjpvtpmjh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(1 + 2) - -3. Suppose -22 = a*j - 5*g + 11, -4*j + 2*g = 26. Put -5, 2, -3, j in descending order.\nAnswer: 2, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 742 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 - 160.3. What is f rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/27 + (82\/(-1845))\/((-2)\/10). Let -2\/3*n**2 + f + 4\/3*n = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, g: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*j + 29. Let z be (1 - 36\/20)*135\/j. What are the prime factors of 39 - 12\/(z\/6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18*j - 31. Let x be k(2). Suppose 114 = x*n - 36. Solve -2*c - 3*u = 19, 5*u = -3*c - 0*u - n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 164, 5, -5, 0, 6 in increasing order.\nAnswer: -5, 0, 5, 6, 73, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-10))\/((-1)\/(-2)). Let c = 1 - j. Find the third derivative of 1 - 1 - 2*m**c - 2*m**4 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q = 103*q - 1965. Let j = q + -343. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*x + 5*x + 86, -5*s = 5*x + 145. Let y = x + 107. What is the highest common divisor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6791 - 6792.31864. What is h rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -875*l**2 - 1046*l**2 + 288*l**2 to x + s*l + d*l**2 and give d.\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/9 - 95627*c\/3 + 12334034\/9.\nAnswer: (c - 286838)*(c - 43)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1908.4 - 1089. What is r rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 0 - 30*f - 2 + f**3 - 3*f as m*f**2 + o + t*f**3 + h*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -219, -226, -233, -240, -247, -254?\n\"Answer: -7*y - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Let p = 46422.8 - 46422. Which is the closest to p? (a) y (b) 0.2 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 35 = 4*p - 3*h, -3*p = 287*h - 281*h + 18 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/16*-1*(-7)\/(-175)*-5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*f - f + 1950. Suppose 0 = -3*a + 60 - 9. Calculate the least common multiple of f and a.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 12 = n, 0 = 432*n - 434*n - 5*x + 31 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = 42*h - 9*h + 15966. Suppose 0*j - 2*j - 988 = 0. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(95\/171)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5750\/2415)\/((-60)\/(-112))*(-5)\/(100\/(-24))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-5)\/2 - 525\/(-50). Solve -16*r + 6 = -d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + l = -4*d, 0 = 3*d - 2*l. Let x = 1246 + -1243. Solve -x = -d*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160252, 322426, 484600, 646774, 808948, 971122?\nAnswer: 1133296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 603 and -190212936559.6?\nAnswer: 190212937162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -13*o**7\/2520 + o**4\/4 - 2*o. Let d(t) be the third derivative of s(t). Let m(r) = 2*r. Determine d(m(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1213\/9 + 135. Let q = -13\/18 + l. Is q greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from jjjjjjnjjjjn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -366*-2\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/4)\/(1\/4). Let k be (g\/12)\/5*3. Is k not equal to 1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(153)*1)**2 + -2 + sqrt(119)\/((sqrt(77)*-2)\/sqrt(11) - sqrt(7))).\nAnswer: -906 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2395 + -2399. Let p(c) = 2*c**2 + c - 1. Let s be p(-2). Let d be (-24)\/(-30) - 3\/s. Sort -0.3, b, d, 2 in descending order.\nAnswer: 2, d, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000106887 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299273 - 70927537\/237. Let z = -445\/8 - -35139\/632. Let c = z + o. What is the biggest value in -28, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 38. Let u be g(4). What is the common denominator of 131\/96 and (-266)\/320 + -6*u\/(-40)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.60825 rounded to 1 decimal place?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76 times 0.0528407\nAnswer: -4.0158932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 335*r + 1947. Does 11 divide i(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*o + 172*o - 162*o + 191*o - 18 + 0.\nAnswer: 355*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128291584893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411048 and 1301652.\nAnswer: 7809912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176988138.\nAnswer: 2, 3, 67, 440269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -34. Let v = q + -268\/7. Sort v, -0.5, -1\/11 in descending order.\nAnswer: -1\/11, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051225 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -173, -5\/3, -7\/2, -4, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74129359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 9*u - 2. Let f be x(5). Find i, given that -12*i - 17 + 10 - 5 - f*i**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.3, 2\/15, 38, 1.36 in descending order.\nAnswer: 38, 1.36, 0.3, 2\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167770 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: Put -15113, -4, 2 in decreasing order.\nAnswer: 2, -4, -15113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1598 = 9*g - 2155. Let r be 4\/(-10) - (-2896)\/(-10). Let u = r + g. List the prime factors of u.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -164202?\nAnswer: 1\/82101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.64948 - 1624.2683.\nAnswer: -1622.61882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6040.785 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 + 0 + -1. Suppose -r + t + 192 = 191, -3*r = -4*t - 2. Solve -4 = -s*n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, 1 m, and 1 f when four letters picked without replacement from {f: 3, i: 5, x: 2, m: 3, a: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*x - 4*c, 0 = -8*x + 3*x + 2*c + 49. Suppose x*m - 286 - 11 = 0. Let i(d) = 13*d**2 - 1. Calculate the remainder when m is divided by i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(31 - (2 + 31)). Let h = -1 - -1. What is the nearest to h in 0.1, -1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/10 + 27*h**5\/10 - 83*h**4\/4 + 54*h**3 - 66*h**2 + 511*h. Let i(x) = 0. Calculate x.\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292039438 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 14, 1\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 48264797*r + 5 - 3 - 48264831*r. What is p(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:01 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -73*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.1162.\nAnswer: 0.16268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 6, 8, -1, -15.\nAnswer: -15, -2, -1, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76161, -152322, -228483, -304644, -380805, -456966?\nAnswer: -533127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 4:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*j)*(1 - 2 + 0) + 3*j - 3*j - 8*j)*(-4*j + 2*j + j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -733, -1693, -3039, -4771?\nAnswer: -6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 582 = -6333. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8623, -17080, -25537, -33994, -42451, -50908?\nAnswer: -59365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2813855 and 1.3.\nAnswer: 2813856.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106840 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*p + 9594*p + 1010592 = -3535*p + 2418*p for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -3, 4*u = -k - 1. Let y(r) = r**2 - 7*r - 8. What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Find y such that -3*y**4 - 3*y**3 + 6*y**3 + 4*y**2 - y**2 - 6*y + j*y**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564022 (base 8) in base 12?\nAnswer: 4b906a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7446*q + 7417*q + 203 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25959, -26188, -26463, -26784?\n\"Answer: -23*a**2 - 160*a - 25776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.9 - -7.1. Round f to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 6*b**4 - 8*b**3 - 2*b**2 + 9*b - 4.\nAnswer: -(b - 4)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/2)\/22 - (-42)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*m = 19*m + 60492. List the prime factors of m.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5092.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.565 or 40197?\nAnswer: -19.565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 1689310?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, i: 5, x: 6, f: 1}. Give prob of picking 1 f and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3645) + sqrt(45))*4 + (2*sqrt(6480) - sqrt(6480)))\/((sqrt(2916) - (sqrt(2916) - 2*sqrt(2916)))\/(2*sqrt(484))))**2.\nAnswer: 1635920\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 6. Suppose 5*m = 0, 15 = 5*l - 3*m - 45. Let g(z) = 2*z**2 - 5*z - 2. Let w be g(6). Let b be (-4)\/(-6) + w\/l. What is c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/745?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-98))\/((-2)\/(-16))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 628*l - 22502. Determine n(33).\nAnswer: -1778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 5*k = -m + 11*k + 41, -178 = 3*m - 4*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 + 14932*i**4 - 694860*i**3 + 6975260*i**2 - 4965296*i - 12650352 = 0. Calculate i.\nAnswer: -1, 2, 13, 33, 3686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)\/p*p*p*p\/p**(2\/41))\/(p**(-12)\/(p**(4\/9)\/p)) assuming p is positive.\nAnswer: p**(10993\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 14. Let d be m(13). Suppose -w + 96 = -d. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 166, 16, 5, 33.\nAnswer: 2, 5, 16, 33, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27588 + -27587.99960073. What is q rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 17*w - 1. Let k(y) = 4*y**2 - 15*y - 1. Calculate 5*j(r) - 6*k(r).\nAnswer: r**2 + 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 648, 103, -806, -2079, -3716, -5717, -8082?\n\"Answer: -182*q**2 + q + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/6 - 1109*u**3\/12 + 277*u**2\/4 + 22*u + 35. Factor t(s).\nAnswer: (s - 277)*(4*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:16 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2894 divide 1175123170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 12*q. Let n(h) = h**2. Calculate n(x(d)).\nAnswer: d**4 - 24*d**3 + 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2803663135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l + 2*l)*(-7*l**4 - l**4 + 2*l**4) + 0*l**5 + 2*l**5 + 0*l**5.\nAnswer: -34*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -44*c + 224. Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -3\/20, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -3\/20, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.33, 0.5, 16, -16\/9 in descending order.\nAnswer: 16, 12.33, 0.5, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 + (-4)\/4*-2. Suppose 5*h + 2*m - o = 9, -10 = -2*h + 2*m. Solve h*s + 5 = -3*d - 13, -3*s + d = 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + l - 11 - 6 = 0, 5*q = -4*l - 10. Let t be (-3 + 26\/6)\/(q\/3). Let s = -11 + 9. Put s, -4, t in descending order.\nAnswer: t, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74552 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460\/47397 or 1?\nAnswer: -460\/47397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w - 107*w = -48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + d + 10. Give a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**6 - 136862476*u**4 - 3*u**2 + 3*u + 242049 wrt u.\nAnswer: -120*u**3 - 3284699424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-101 - -129) - (7 - 0)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vveveezveeeevveveve. Give prob of sequence eve.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*r + 28. Let o be -4 + 25\/r + 2. What is the biggest value in -1\/4, -0.5, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -46 + 54 - (-5)\/((-10)\/12). Suppose 3*y + 5*s = 11, n*y - s - 6 = -3. Solve 4 + y = -2*u, z + 4*u = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177553 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010101011 - 100?\nAnswer: 101010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 + 448 + 3*i - i - i - 2*i.\nAnswer: -i + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aesps. Give prob of sequence epa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + 2 + -2. Let j(a) = -4*a**2 - 3*a**3 + 0 - a - a + n. Let t be j(-2). Calculate the greatest common factor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = 7*w - 3*w, -4*w - 16 = 0. Let y = -104918 - -104918. What is the nearest to 0 in y, b, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**5\/20 - 13*p**4\/16 - 59*p**3\/12 + 21*p**2\/8 + 137. Factor m(u).\nAnswer: u*(u - 7)*(u + 3)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/24*12\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {t: 2, o: 4, w: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 5*n**2 - 3*n + 1. Let q(a) = 2*a**3 - 4*a**2 + 3*a - 1. Suppose -28*p + 91 + 49 = 0. Determine p*q(b) + 4*c(b).\nAnswer: -2*b**3 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 5*b - 33 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*n - 83*n - 140 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**(3\/7))**(-13)*(p**(-2)*p)**(-41)*(p**(-3\/2)*p)\/p*p**(-3\/8)\/p assuming p is positive.\nAnswer: p**(3383\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1331974 divided by -4\nAnswer: 665987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31289 and 5137?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8835 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4869496*y**2 - 7*y - 7134156 wrt y?\nAnswer: 9738992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 - 101. Calculate the common denominator of ((-7)\/40)\/(4\/o) and 121\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199 is divided by 139.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 17 + -7 + 7 - 12) + 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8271, -16546, -24821, -33096, -41371?\n\"Answer: -8275*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**3*g*(g\/(g\/(g**(-1\/10)*g)*g)*g)\/g*g*g*g**(-12) assuming g is positive.\nAnswer: g**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16303310 (base 8) to base 15\nAnswer: -4e70c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7083887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 5*b. Let d be v(-5). Suppose d = -2*r - r + 18. Suppose -c - 2*w = r, -c + 20 = c - 4*w. Solve c*u + 0*u = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 751270*f*z**3 + 80*f + 280*z**3 + z - 23311 wrt f.\nAnswer: 751270*z**3 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/81)\/((-14)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*c + 1732*c - 14326 = 0 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 17*h - 27. Determine q(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85879747?\nAnswer: 85879747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g**2 + 211*g**2 - 143*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 104. Let x(a) = 2*a**2. What is m(x(d))?\nAnswer: -6*d**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -191. Let u = x + -52. Let 8\/5*q**u + 0*q - 4\/5*q**2 + 6\/5*q**5 - 2\/5*q**3 + 0 = 0. Calculate q.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -89 - -1 - (0 + 0). What is the remainder when 61 is divided by (-1392)\/x + (-4)\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 40. Let v be ((-3)\/(-2))\/(q\/32). Let u be (1 - -1 - 0) + v. What is the nearest to 0.1 in u, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 - (-101)\/(-11))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2. Suppose -37*g = -40*g - 255. Let b = 116 + g. Let p(k) = 5*k - 4*k + 31 - b. Determine n(p(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, -23, 3, 4.\nAnswer: -23, -20, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:16 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h - 48. Suppose -h*m = -3*m - 1248. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -3*z**2 + 0*z + 0*z**3 + 0*z**6 + 5\/8*z**4 + 0*z**5 + 0 + 11\/210*z**7. What is the second derivative of b(w) wrt w?\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*f + 4*o, -3*f - 9 = -8*f - 2*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 2. Let q(d) = -33*d - 50. Let o(g) = 2*n(g) + 2*q(g). What is the derivative of o(f) wrt f?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 4. Let f be w(-4). Let s be f*4\/24*-3. Suppose -3*n + n - p + 6 = s, -4*p = 8. Solve -2*u - n*r + 8 + 10 = 0, r = u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 21 - 3 = -2*d, -5*d - 4*g - 46 = 0. Let v = d - -14. Suppose 0 = s + v*s - 20. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/12)\/((-6)\/(-24)). Let i(n) = -14*n**2 - 14*n + 6. Let k(g) = 5*g**2 + 5*g - 2. Give j*k(u) - 4*i(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and 73\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 23*c + 13. Let v be s(12). List the prime factors of 3\/5 - (-1585)\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 8*n - 9. Let l be j(5). Suppose -4*u + 3*m = -8, -l*u + 2*u + m + 16 = 0. Solve 4*f - 7 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97704 is divided by 30486?\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5551 = 5555 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11352 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.3004ms in seconds?\nAnswer: 0.5113004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1.72 (c) -796 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5445?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 1. Let j(s) = -s**2 - 10*s - 1. Let k be j(-10). Let q(i) = 1. Calculate k*u(h) + 3*q(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-1\/14))\/b**(-3\/5))**(16\/7))**(5\/6))**(5\/11) assuming b is positive.\nAnswer: b**(780\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 6) to base 16.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5263596\/(-520) + (-9)\/(-30). Which is smaller: u or -10123?\nAnswer: -10123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*h + 3*h**2 - h**4 - 58*h + 116*h + (-5 + 3 + 3)*(-3*h**4 + 0*h**4 + 5*h**4).\nAnswer: h**4 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m + 91. Let l = -243 - -236. Let q be s(l). Suppose -2*d - 3*d = -10. Solve y + 1 - d = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11498607 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 6615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2\/3*c**3 - 3*c**2 + 183 - 2*c - 1\/12*c**4. Give v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**3 - 2*l + 0*l + 2*l**3 + l. Let n be q(-1). Let w(d) = 780001*d - 5. Let v be w(n). Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94104, -187590, -281076, -374562, -468048, -561534?\nAnswer: -655020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -11. Let r = -9.5 + 9.6. Which is the closest to 2\/3? (a) r (b) -7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 69 = -63*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 2*b**2 - 4*b + 160. Determine i(0).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6111217 is divided by 737?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169570, -169272, -168772, -168070, -167166?\nAnswer: -166060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 - 3*g**4\/8 + g**3\/6 + 2*g**2. Let w be h(9). Suppose -r + w = -2. Solve r*z - 2*z = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u + 1. Let v(g) = -7*g**3 - 2*g**2 + 10*g + 10. Let r(a) = 8*c(a) - v(a). Let b(w) = 2*w**3 - 3*w**2 + 2*w + 2. Calculate 2*b(d) + 3*r(d).\nAnswer: d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 941.62 - 1216.\nAnswer: -274.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28433, -36980, -45527, -54074?\nAnswer: -62621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -585\/2*s**2 - 8100*s + 27000 - 5\/2*s**3 = 0. What is s?\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 - 8750*x**3 - 601440*x**2 + 3922560*x = 0.\nAnswer: -72, 0, 6, 1816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 289 and 859.\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12454 = 3*c - v, 3*v = 13*c - 9*c - 16607. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11*y - 7*y + 68*y)*(-1 - 1 + 3) - 2*y + 7*y - y)*(5*y + 0*y - 2*y).\nAnswer: 228*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420129 and 13077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 + 13*b**2 + 4*b**2 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Let o = 3.26 - 0.16. Let u = 0.1 - o. What is the nearest to g in -1\/5, u, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145 - 2*n - 262 + 156 + 3*n**2 to w*n + q*n**2 + r and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11971873 to the power of 1\/2, to the nearest integer?\nAnswer: 3460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.778458ms?\nAnswer: 0.005778458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369576, -369575, -369574, -369573, -369572, -369571?\nAnswer: -369570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 66, 95, 124, 153, 182?\n\"Answer: 29*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16 + 805\/42 + 4\/(-72)*3. Sort -5, -89, -4, g.\nAnswer: -89, -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(2 - 3)*-1. Suppose 0*k - 115 = -s*k. Factor -45*g + k*g + 2*g**2 + 28*g + 4.\nAnswer: 2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/60 + 4*s**4\/3 + 59*s**3\/6 + 77*s**2. What is the remainder when r(30) is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 not equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3) + -2 + 4. Suppose z + 0*z = -a. Let u = -2 + 1. What is the nearest to u in -2\/3, 4, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/180)\/((-4)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 901, 1350, 1799, 2248, 2697?\nAnswer: 3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**2*n + 3*f*n - 23*f + 16940*n + 2 wrt f?\nAnswer: 10*f*n + 3*n - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 7*r - 7. Let t be j(-5). Suppose 0*y = -3*y + t. Let f(o) = 2*o**3 + 1. Give f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5559 is divided by 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**2 - 1\/6*o**3 + 0 + 3*o. Calculate i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2. Let d be j(-2). Let h = 8 - d. Let g be (-161)\/14*(h - 2). Calculate the greatest common divisor of g and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((-13 - -3) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-4)*5 + 305.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2344430 (base 5) to base 14\nAnswer: 11d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46000 and 322?\nAnswer: 322000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335 - 333. Solve 4*a + 0*b = -b + 12, 2*b = -w*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 + 36434*d**2\/3 - 4*d\/3 - 145736\/3.\nAnswer: (d - 2)*(d + 2)*(d + 36434)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -8 + 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*k - 3*x, 0*k + 3*k + 42 = 5*x. Let r = 5 - k. What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfkkncccccckccccckn. Give prob of picking 3 k and 1 n.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/6 - 39*v. Let y(s) = -29*s**2. Give y(m(t)).\nAnswer: -116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.2 and -5663.\nAnswer: 23784.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g**(-3\/4)*g))\/g)**(6\/35))**(1\/22))**(1\/18) assuming g is positive.\nAnswer: g**(-3\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7007*v - 10. Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2*b - 1. Let i(a) = -293*a**4 - 6*a**3 + 13*a**2 + 12*a - 4. Let n(z) = 6*g(z) + i(z). What is the third derivative of n(k) wrt k?\nAnswer: -7032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6117405 by -21.\nAnswer: 291305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*s + 33950 = 271*s + 661*s for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 162 = 2*y - 4*s, 3*y - 5*s = 368. Is y 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 {y: 7, b: 9}. What is prob of picking 4 b?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, 2\/5, -162 in increasing order.\nAnswer: -162, -0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373281 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-10)\/s**(3\/8))**(1\/4))**(-3\/19))**(-4\/27) assuming s is positive.\nAnswer: s**(-83\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*10*3\/(-30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.91, -4\/7, 4, 4092?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + y - 1. Let w be o(1). Suppose -w*s = -3 + 1. Solve k - q = s, 2*q + 7 = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -3628378?\nAnswer: -3628379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 296*s**2*w**2 + 3*s**2 - 5*s + w**3 wrt w?\nAnswer: 592*s**2*w + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 188. Let s = -13 + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -0. Let m be (j\/(-3))\/(2\/6). Let k be (-2 + m)*-2*2. Let x(v) = -v**3 + 5*v**2 - 5*v - 1. What is x(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681434479 to the power of 1\/3, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59257\/6 - -9854. What is the common denominator of p and -19\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1151, 1138, 1097, 1010, 859?\n\"Answer: -3*b**3 + 4*b**2 - 4*b + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 421378, 421369, 421360, 421351, 421342, 421333?\n\"Answer: -9*w + 421387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10269 - 5464 = -440*j - 10595 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9914*y**3 + 4*y**2 - 26703 wrt y?\nAnswer: 29742*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -376.449 + 376. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732677 and 8041.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 130 = -40. Let j = -95 + z. Sort j, -3, 4 in ascending order.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(80)\/sqrt(4)) + 3 + sqrt(20).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 8:55 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(300)*-3 + sqrt(3).\nAnswer: -29*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*p = -358, s = -4*s - 2*p + 342. Let d = -38 + s. Suppose 32 = 4*g - 12. Calculate the remainder when d is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66*(-92)\/57684)\/((-6)\/38)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 121, 124, 127, 130, 133, 136?\n\"Answer: 3*x + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 - i**3 - 10*i + 9*i**3 - 9*i**4 + 7*i**4 - 23*i + 5 + 3*i**2 as t*i**3 + u*i**4 + s*i**2 + l*i + a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 326?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356.05 equal to 2\/2861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 98*y + 21. Calculate the smallest common multiple of 65 and l(15).\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 49. Let z = n + -16. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 71, 186, 15 in decreasing order.\nAnswer: 186, 71, 15, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*d - 16, -3*d - 2*j - 8 = -0*j. Suppose d*x = x - 41. Find the common denominator of -5 + (42\/(-168) - (-1 + -2)) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 times -5\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*t**2 - 48 + 222*t**2 - 111*t**2 - 2.\nAnswer: -2*t**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 - l + 1. Let f be m(1). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -675, -1351, -2015, -2661, -3283, -3875?\n\"Answer: p**3 - 683*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4664289316.\nAnswer: 2, 1166072329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1812 + 1988. What is the highest common divisor of x and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/852)\/(((-39)\/(-24))\/((-1872)\/(-144)))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1923109.62519962 + -17320.02525762. Let g = -1905792 + u. Let n = 2.4 + g. Round n to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985986 a multiple of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, -2, 2, -208 in increasing order.\nAnswer: -208, -14, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 58 = 430. Let r be k\/(-208) - -2*3\/39. Which is greater: 11 or r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 850 - 4448 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**2 - 1785*f - 1332.\nAnswer: -3*(f + 148)*(4*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*h - 209*h = 80796. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 13*t**2 - 15*t + 19. Let c be l(12). Let k(z) = -2*z**2 - 33*z + 21. Let h be k(c). Solve -1 = -3*v - h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2\/(-8)*-3. Let p(j) be the second derivative of 0*j**4 + 3\/20*j**5 + 0 - 2*j + 0*j**o + j**2. What is the derivative of p(n) wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 0*y**3 - y**3 + (5*y**2 - y**2 - 3*y**2)*(0*y + 6*y - y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10710*q + 507414 - 169865 = -7726 - 789985 for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -5, 4, 2, 27 in descending order.\nAnswer: 27, 4, 2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325898 is divided by 2348.\nAnswer: 1874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 3. What is the second derivative of w*c**3 + 2*c - 3*c**2 + 0*c**3 + 3*c**2 wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63069771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.178 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.71 + 0.13. Let f = 0.18 + n. Let w = 10 + -9.7. What is the closest to -0.1 in f, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -q. Let x(k) = q + 0 - 5*k**2 + 2*k - 10*k + k**3. Let m = 41 + -35. Calculate x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27*i**2 + 13*i - 11. Give l(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 25*u**3 + 2*u**2 - u - 4 - 19*u**3 in the form w*u**3 + j*u**2 + t*u + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/969 and 56\/171.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:57 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863 equal to 34051\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 773784 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -26*j - 397. Give y(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019863 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19791*j**2*w - 729*j*w - 9974836*w - 3 wrt j.\nAnswer: 39582*j*w - 729*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276579912 and 502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**5 + 12*d**4 + 21*d**3 + 24*d**2 + 3*d + 5. Let h(j) = j**5 - 6*j**4 - 11*j**3 - 12*j**2 - 2*j - 2. Let p(s) = -5*h(s) - 2*m(s). Factor p(a).\nAnswer: a*(a + 1)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79125210.\nAnswer: 2, 3, 5, 879169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 - 4*w + 3. Let a be o(1). Is 14 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/v**(-4\/11) assuming v is positive.\nAnswer: v**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 327616?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.28 - 5.28. Which is the third biggest value? (a) 0.5 (b) -0.1 (c) i (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 7*q - 8. Let n(h) = -3*h**2 - 20*h - 23. What is -6*n(v) + 17*r(v)?\nAnswer: v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3771 + -140?\nAnswer: 3631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11037705 rounded to four dps?\nAnswer: 0.1104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57782?\nAnswer: 2, 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 3, d: 2, s: 4, v: 2, p: 2}. What is prob of sequence js?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 211, 350, 487, 622, 755?\n\"Answer: -y**2 + 142*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31939 is divided by 758.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 1 + 5*y**2 + 199 - 3.\nAnswer: 2*y**2 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:08 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 223297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n - 34. Let j be y(-15). Let p = -42 + j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5 + c**4 + 3*c**3 - c**2 - 2*c = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1155786 or 1?\nAnswer: -1155786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.407 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 886445 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-675)\/10)\/9*(-4)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 512.\nAnswer: 3\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15110 - -42703. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 1. Let v be t(1). Suppose 2*z - v = 3. Sort -4, 0, z in ascending order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522769.\nAnswer: 13, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.3, -23, 1\/152, -1.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*s**4 + s**3 + 177*s**2?\nAnswer: -2112*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -26, -21, -16, -11?\n\"Answer: 5*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -447*c**2*p + 132089778*c**2 + 523*c*p - 29*p wrt p?\nAnswer: -447*c**2 + 523*c - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2*26 + -1. Suppose -3 - i = -3*q. Suppose 3*j = 2*s - 4*s + q, -24 = -4*j + 2*s. What is the remainder when 17 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21768 and 7256?\nAnswer: 21768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:39 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57379080 and 8160.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33\/5 of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 4. Let s(y) = -y**2 - 22*y - 81. Let j be s(-5). What is the third derivative of m**3 + 11*m**4 - 7*m**4 + j*m**o - m**3 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639\/(-142)*15\/18*(-52)\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2724570*l**3*x - 8*l**3 + 2*l*x - 2179*l + 6*x + 10 wrt l?\nAnswer: -16347420*l*x - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - -5 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*v + 4*c + 8, c = 2*v - 93. Let i(y) = -y**2 - 13*y - 4. Let k be i(-12). Calculate the highest common divisor of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose -4*d - 2*g + 1030 = 0, -u*d + 517 = -d - g. Calculate the remainder when 2\/2*d\/6 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - 3. Let r = a - -68. Let h(l) = -l**3 + 4*l**2 + 7*l - 13. Let j be h(3). Calculate the highest common factor of j and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (36 + 26 + -89)) + (-1 - 97)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22185 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698 + g**2 - 179*g + 688 + 179*g.\nAnswer: g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + a + 8 = -11, -4*g = a - 51. Let r be ((-7)\/(g\/12))\/(-1). Suppose z = -5*m + 19, -5*m - 24*z + 1 = -20*z. Solve 0 = -r*n + n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**5\/10 - v**4\/12 + 2*v - 2. Let x(u) be the first derivative of m(u). What are the prime factors of x(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310777 is divided by 103184?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1172 and -36.\nAnswer: -42192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1)*o*o\/(o\/o**(-2)) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 5*b**2 + 2*b**4 + (-13*b**2 - 20*b**3 + 13*b**2)*(0*b + b + b) + (-3*b + 3*b - 5*b**3)*(2 - 4*b + 0*b + 3*b).\nAnswer: -33*b**4 - 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/u*u\/(u*u\/(u\/(u*(u*u**(-4\/3))\/u)))*u*u assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 73 = -o. List the prime factors of o*((-39)\/(-2))\/13.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/86924832 and 49\/184.\nAnswer: 1999271136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460462904.\nAnswer: 2, 3, 1021, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6555 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let t be p(-1). Let o(r) = 2*r. Let c be o(-1). Let u(v) = -v**2 - 10*v - 12. Let b be u(-9). Sort b, c, t.\nAnswer: b, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -8. Let m = 3.669 - -1738.331. Let t = -1732 + m. Which is the biggest value? (a) t (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3947 - -3948. Let h = -3 + 0. Sort 0, h, 3, f in ascending order.\nAnswer: h, 0, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178779 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/30 - 5*t**4\/6 + 25*t**3\/3 - 41*t**2. Find z, given that h(z) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 (base 7) in base 13?\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188916 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 6*r - 3*r)*(-5 - 1 + 4) - r - 2*r + 5*r + (0 + 1 - 2)*(2 + 2*r - 2) - 3*r + 0*r + r + 0*r + 0*r - 2*r + 85*r - 78*r - 160*r as y + o*r and give o.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = -20*z - 55200000. What is z rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c - 1. Let i be n(6). Let t = 9 - i. Suppose -5*b - 4 = 1, -3*b = -5*m + 153. Calculate the remainder when m is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i - 46 + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 52. Let x = i - -63. Which is the closest to 3\/8? (a) 3\/5 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 21?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*v**2 + 23772*v + 16*v**2 - 47559*v + 23785*v - 4*v**2.\nAnswer: 103*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9*a - 2808 = 4*y, 0 = 5*a + y - 3528. Calculate the lowest common multiple of 21 and a.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627046420 a multiple of 4988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 4 + 4 - u. Let s(q) be the second derivative of 3*q**3\/2 + 13*q**2 - 118*q. Let j be s(-3). Determine g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 8. Let u(n) = n**2 + 5*n + 9. What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -28\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r*r)**11\/(r**(2\/9)*r*r\/(r*r\/r**(-2)*r)) assuming r is positive.\nAnswer: r**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6532 and 16036612?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -6, 2*z + 48*p = 52*p + 12. Solve -z*m = m + 34*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 195\/8, -30, 3\/7, -4 in descending order.\nAnswer: 195\/8, 3\/7, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggglllgg. What is prob of picking 3 g?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77711509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:18 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.23, -0.68, 4 in descending order.\nAnswer: 4, -0.23, -0.68, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 794 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y. Let v(s) = -5*s - 1. Let m(j) = -39*j - 5. Let d(n) = -m(n) + 5*v(n). Calculate u(d(x)).\nAnswer: -140*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrlrrlrlrrr?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let f = -676\/5 + 136. Let y = -0.192 + 0.592. Which is the third smallest value? (a) v (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -245, 33, -103, -8 in decreasing order.\nAnswer: 33, -3, -8, -103, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15206.\nAnswer: 2, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -0.062. Let v = b - 26.958. Let y = v - -26.999979. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o = 117*o - 120*o + 3328 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (9\/(-63) - (-58)\/14). What is the lowest common multiple of ((-2)\/p - 0)*(21 + 15) and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 657459851*q + 162921194.\nAnswer: 657459851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + b**2 - b**2. Let t(v) be the third derivative of v**4\/24 - 1244*v**2. Calculate t(k(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -115 + 0*s - 66\/5*s**5 + 0*s**4 + 0*s**3 + 108*s**2. Find the second derivative of j(u) wrt u.\nAnswer: -792*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9405*o + 9399*o - 108. Which is the nearest to 1? (a) o (b) 4 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 8*d + 6. Suppose 10*c = 15*c - 15, -5*j - 4*c + 37 = 0. Is 41 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l + 1. Suppose -586*d + 593*d = 105. Let y(t) = 0*t**2 - 39*t**3 + 4*t + d*t**3 + 5*t**2 + 20*t**3 + 5. What is 10*j(q) - 2*y(q)?\nAnswer: 8*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, y: 2, v: 8}. What is prob of picking 3 j?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 3*j, 0 = 3*t - 691*j + 690*j - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-14))\/((-6)\/(-16)). Let q = 104 - 81. Let f = q - 27. Is f > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.536 + -0.036. Let j(t) = -t**3 + 4*t**2 + 4*t + 2. Let o be j(4). Let g be o\/(-15) - 1 - -1. What is the second biggest value in g, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 4*m**4 + 2*m**4)*(5 - 6 - 5) - 3*m**4 + 4*m**3 - 4*m**3.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2956, 3257, 3594, 3973, 4400, 4881, 5422?\nAnswer: 6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000110010001 - 100100000000101?\nAnswer: 10000100110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.0885 - 73.113. Let b = -17 + v. What is b rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484484 divided by 34606\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -14\/11, 5\/6, -64\/3.\nAnswer: -64\/3, -14\/11, -1, 0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*p + 5879 = 1643 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-2)\/(-16))\/(7\/14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(605) + sqrt(605) + (-1*sqrt(605) - sqrt(605))**2 + 1)*-2 + -6*(-1*(sqrt(605) + -2))**2).\nAnswer: -880*sqrt(5) + 34000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:26 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 8*r**2 - r**2. Let d(i) = -68*i - 29. Let s(h) = -7*h - 3. Let p(g) = 6*d(g) - 58*s(g). What is p(j(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:48 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -2*j + f, f = 3*j - 8. Let a = j - -21. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -609 - -611. Which is the second biggest value? (a) p (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -0.22. Which is the closest to 1\/4? (a) x (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 97*z**2 - 367*z - 449. What is s(93)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6507*u**2 + 6633*u**2 + 5400*u + 2417*u**3 - 1022*u**3 + 6*u**5 + 3111*u**3 - 345*u**4 = 0. What is u?\nAnswer: -2, -1\/2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/32)\/(3\/32). Suppose -u + 28 - y = 0. Which is the closest to -0.1? (a) -2 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1693, 3415, 5151, 6907, 8689?\n\"Answer: c**3 + c**2 + 1712*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-13)\/u**3)\/(((u*u\/u**(-13)*u)\/u)\/u**19))**(38\/5) assuming u is positive.\nAnswer: u**(-456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) 11 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2199.5 - -2200. Which is the nearest to -0.1? (a) -2 (b) -19 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 1. Let q be y(-1). Do 9 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8074 and 1756462?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 - 30*d**3 + 2*d**3 + 8*d**3 - 8*d**3 - 3*d**3.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27246, 27238, 27254, 27312, 27430, 27626?\n\"Answer: 3*l**3 - 6*l**2 - 11*l + 27260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + 0 + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16794*f + 1192380. Give x(71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 17*v - 9. Let l be f(-16). Let d(z) = -2*z + 3. Let m be d(-6). Suppose -5*x + m = -2*x. Solve l = -x*b + 2*h, -b - 4*h = 1 - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -117\/7, 0.01, 651.\nAnswer: -117\/7, 0.01, 0.1, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -12 - 23) + 47.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 653.\nAnswer: 8\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-2 - -5) + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 898.\nAnswer: 8082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 68*f**2 + 713*f + 2315. What is r(54)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/(24\/(-20)). Sort 0.4, a, 0.3.\nAnswer: a, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -21*a - 334, -w - 3118 = a - 3101 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (515434*u + 531970*u - 1068229*u)*(u**2 + u**2 - 3*u**2) in the form b*u**2 + z + k*u + j*u**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*d + 6. Suppose 22*l + d = 23*l. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132)\/(-121) - (-204)\/(-187). Solve -5*p - 2*j + 2 - 13 = 0, 5*p - 4*j - 7 = g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((2800\/(-63))\/16)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101310 (base 4) in base 7?\nAnswer: -3216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78118905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v - 5*v)*(v**2 + 38*v + 254 - 136 - 120).\nAnswer: v**3 + 38*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 471575959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107170004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994042664 to the power of 1\/2, to the nearest integer?\nAnswer: 54718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -4, 0 in decreasing order.\nAnswer: 24, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:54 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w + 5193. Let j(r) = 23*r + 10390. Give 2*j(u) - 5*l(u).\nAnswer: u - 5185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/11))**(-26) assuming p is positive.\nAnswer: p**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 1. Let x = -3 - 0. Let j(d) be the first derivative of -d**3\/3 - 712. Give x*i(n) - 7*j(n).\nAnswer: -2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2184 by 3.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 1 + l**2 + 4 + l**3 - 4*l**3 + 3*l.\nAnswer: -(l - 1)*(l + 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - d - 1 + 7 + (-d - d + 0*d)*(1 + 0 + 0) + 4*d + 4 - 4 to the form v*d + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568221 (base 9) to base 14.\nAnswer: 8c1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + c + c)*(6*c - 2*c - c + (3*c - 2*c - 3*c)*(0 + 0 + 1) + c + 4 - 4)*(-74*c + 142*c + 77*c) in the form o + g*c + a*c**2 + t*c**3 and give t.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*a*t**4 + 2*a + 8*t**5 - t**2 + 592*t wrt t?\nAnswer: 516*a*t**2 + 160*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/13, -0.4, -15\/7, 22 in ascending order.\nAnswer: -15\/7, -0.4, -2\/13, 1\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 249259, -3, 5, 4, 1 in increasing order.\nAnswer: -5, -4, -3, 1, 4, 5, 249259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -97070509 less than -97070509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -71?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 + 117*j**2.\nAnswer: 117*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -40*t + 368 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:34 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51793.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20698679 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {f: 5, t: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (62\/4)\/(3\/12). Let u = x + -44. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c + 4. Let k(b) = -b**3 - 3*b + 4. Calculate -5*k(v) + 4*s(v).\nAnswer: v**3 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/82539 > -1.709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35893 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1648680*w**3 - 1276473?\nAnswer: 4946040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/170 and -49\/62?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*x + 57*x + 13183 = -7117 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 50. Determine t, given that 28*t + 0*t**f + 0*t**2 - 8*t**2 + 16 = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 120*a = -50*a + 476 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a4 (base 11) to base 7\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.96965 litres?\nAnswer: 49969.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2757*s + 121300. Give c(44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 22*j - 20*j - 4, 1 = -5*p - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 46\/327?\nAnswer: 46\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444884 a multiple of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582488 and 136152.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 299, 297, 295, 293, 291?\n\"Answer: -2*o + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 6:10 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y - 87 = 9*y - 221 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13. Let s(w) = -2*w - 77. Let j be s(-34). Let x(d) = d**2 + d - 51. Give j*b(y) - 2*x(y).\nAnswer: -2*y**2 - 2*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.03, -4, 4\/5 in ascending order.\nAnswer: -4, 0, 0.03, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(66\/(-3696)*-56)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39945488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*i**3*m**4 - 394*c*i**3*m + 6*c*i*m**2 + 48296*i**3*m**4 wrt m.\nAnswer: -24*c*i**3*m + 1159104*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 - 430. Calculate the lowest common multiple of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833797 is divided by 916897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -1.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**3 + 10*n**3 + n**4 + (3 + n - 3)*(1 - 1 + 2*n**3) - 2*n**4 - 2*n**4 + 6*n**4 + (2*n**2 + 1 - 1)*(n - n + n**2) + 0*n**4 + 3*n**4 - n**4.\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w. Let m(h) = 149876*h. Give o(m(f)).\nAnswer: 1199008*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 + 343. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1492)\/(-2) + -2 + 8 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 55*i**2 + 294*i + 188. What is k(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2860?\nAnswer: -1\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628924 is divided by 314461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 + -172. Let a be f*1 - 120\/(-28). Factor 20\/7*r + a*r**2 + 4\/7*r**3 + 8\/7.\nAnswer: 4*(r + 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.46312 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7278045*r**3 - 4*r**2*z**2 - 35*r*z**2 + r + 84*z**2 + 2*z - 7 wrt r?\nAnswer: -43668270*r - 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 48. Suppose -3*i - 30 = 42. Are i and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 + -3.11. Put 2\/7, -1, r in descending order.\nAnswer: 2\/7, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228177.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-5 - -1 - -7). Solve -a + 2 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txcwqqc. Give prob of picking 2 q and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1 - 2) + -22 + 22)*(-2261)\/1330?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28320392 by -58756.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761252.4nm to micrometers.\nAnswer: 761.2524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108478*s - 113233.\nAnswer: -108478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/(-8))\/(21\/(-28)). Let d = j - -12. Solve -8 = 2*p + d*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.57 and 635?\nAnswer: 361.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -3.3. Let k = 3.4 + -3. Let s = -63\/2 - -31. Which is the closest to s? (a) -0.3 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282751 and 651.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2. Let o(a) = -1611 + 1611 - 5*a**2. Determine b(o(y)).\nAnswer: -125*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose -z*y - 35 = -5*v, -v + 4*y - 10 = -0*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 70*y**2 - 160*y + 51. Let z(m) = -14*m**2 + 32*m - 10. Let b(u) = -4*l(u) - 22*z(u). Let b(p) = 0. Calculate p.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 304?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*g**3 + 5*g**2 + 6*g - 9*g**2 - 10*g**2 - 8*g**2 - 5*g.\nAnswer: 770*g**3 - 22*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*4\/(-96) - (-2258)\/(-16). Is -143 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 12*s**2 + s + 10. Let q be m(-12). Let r be ((-32)\/(-10))\/2 + q\/(-5). Solve r*f = 1 - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)\/y**(-6\/13) assuming y is positive.\nAnswer: y**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 268*s**2 + 2*s - 268.\nAnswer: -2*(s - 134)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(27)\/(sqrt(9) + (-3*sqrt(81))\/sqrt(9)) + -4.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = 117. Let z = 6 - 0. Suppose -u = -z*u + 4*v + y, 3*v = -u - 10. Sort -4, -2, u in descending order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w**4)**(1\/4)*(w*w**(-1\/4)*w**(-4\/5))**(-16\/3) assuming w is positive.\nAnswer: w**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s = 0. What is the third derivative of -5*f**3 + 0 + s + 4*f**3 + f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1544 and 1637219?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2 - 4. Solve x = -x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + 5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/54 and -62\/891.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 95 = 18*o, -5*o - 110235*n + 29 = -110239*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -6. Let t be 32\/20*(-5)\/(-2). Suppose n = -4*n - 4*u + 675, -540 = -4*n - t*u. Calculate the greatest common factor of m and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (17 - (11 - 3) - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-80390)\/(-520) + (-4)\/(-26))\/((-12)\/(-48)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.093641 tonnes?\nAnswer: 6093641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*o = 17, -2*y + 5*y = -o + 4. Solve 0 = -2*a + y - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6956 is divided by 1127.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 1 - 67*y + 0.\nAnswer: -67*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 43. Let d = q - 24. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 2. Let c be u(3). Let r be (c + 599)*(-1)\/(-2). Let l = r + -207. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/45)\/(2\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 = 4*r + 1187, 4*r = 2*y - 14 - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k + 185. Determine z(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -27, -37\/8, 0, 5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -724, 307, -85\/4, 2\/17?\nAnswer: -724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.18947 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240112 (base 8) to base 6.\nAnswer: 11213122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 0*t**3 + t**4)*(-5 + 147 + 47 - 24).\nAnswer: 165*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/17 + 1744*l**3\/17 + 428490*l**2\/17 + 20339100*l\/17.\nAnswer: 2*l*(l + 62)*(l + 405)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.001 and -0.6?\nAnswer: 0.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 + 180. Suppose 2*t - 10 = 0, -5*j - h*t + 46 = -64. What is the lowest common multiple of 81 and j?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from knsrkkkssn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1.13.\nAnswer: 5.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31443 - -31382. What is the second smallest value in -0.2, 0.5, s, -4\/3, -1\/8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3069 + 206. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 15, -3*z + 8 = -2*u + 37. Let n(k) = 2*k**3 - 43*k**2 + 115*k + 3. Let g be n(3). What is the highest common divisor of u and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000111011 + 101?\nAnswer: 1100001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 203*c**3 - 201*c**3 + 55*c**2 + 2444 - 135 wrt c.\nAnswer: 6*c**2 + 110*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/3 - c**2\/2 + 34*c. Calculate o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3535656085 to the power of 1\/3, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 + 420*w**4 - 4270*w**3 - 6960*w**2 + 88865*w + 91140 = 0.\nAnswer: -93, -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-28)*-65778 + 74\/(-259). Suppose -k = -5*r + 11*n - 6*n, 2819 = r + 5*n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.00007 + 11. Let u = j + 0. What is u rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**5 - z**3 + z**2 - z + 1. Let v(y) = 9*y**5 + 2*y**4 + 18*y**3 + 5*y**2 + 5*y - 5. Let n(g) = -5*o(g) - v(g). Let n(p) = 0. What is p?\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4 - 2) + -14 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -47, -48, -51?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 4. What is the derivative of 3*c**3 + c**3 + c**3 - u*c**3 + 7 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29583354233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 270\/(-210) - 264\/(-140). What is the smallest value in u, -2\/9, -0.29, 0?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749745410 to the power of 1\/2, to the nearest integer?\nAnswer: 27381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -656\/7 - -94. Let t(l) = l**3 + 14*l**2. Let q be t(-14). Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/9 + -1)*258\/4085. Which is the third biggest value? (a) -2\/7 (b) 0 (c) n (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 135*h + 484. List the prime factors of u(74).\nAnswer: 2, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 11*x**2 - 36*x - 8. Let s be a(-12). Let u be (-1039)\/(-8) - (-35)\/s. Which is smaller: u or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33514543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -427.9 + 475. Let m = o + -46.7. Which is the closest to -1? (a) m (b) 0.2 (c) -2\/7 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 + 18*w**2 - w**2 + 9 - w - w**3. Let h be k(13). Let r be 2\/(-8)*48\/h. Solve 0*b - r = -b, -4*p + 5*b - 23 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*u - 8*u + 5*u)*(u + 3*u - 6*u)*(-2 - 1 + 4) in the form k*u**2 + i*u + d and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 33918.\nAnswer: 983622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 14. Let g = j - 13.999936. Round g to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5080 by 508.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n + 2. Let z(h) = 1274*h + 83. Calculate z(q(f)).\nAnswer: -7644*f + 2631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248\/13 - -661\/26. Calculate the common denominator of z and (108\/16 - 7) + (-446)\/72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7933254 and 18819.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 4*a - 3. Let h be s(3). Which is smaller: h or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000726585554 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/27 in -1, -3\/7, -2\/5, 0.088, -3?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10529 + 10531. What is the closest to v in 4\/11, 4\/7, 8, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 118.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:41 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816*r + 184100 = -811*r. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -561886\nAnswer: -561896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(-22))\/(1\/(-2)). Which is bigger: 2\/11 or y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5626)\/485)\/((-16)\/(-40))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(-2 + sqrt(5) + sqrt(5)))**2 + (sqrt(55) - sqrt(110)\/sqrt(2) - sqrt(55))\/sqrt(11)) - (-5 + 1 + (sqrt(320) - sqrt(320)*1) + -4)**2.\nAnswer: -1984 + 645*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -25, 255, 647, 1151, 1767?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -63.3. Let d = j + 7. Let c = d - -0.29904. Round c to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63058166?\nAnswer: 2, 4621, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 10231206.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1451852, 1451824, 1451796?\nAnswer: 1451768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7794, 32323, 73548, 131463, 206062?\n\"Answer: -s**3 + 8354*s**2 - 526*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x. Suppose -k - 5*t = -x*k - 25, t = 5*k + 5. Let f = 3\/5 + -1. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-6)\/(-5)*75\/30 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose -12 = 4*s, 0 = -y - y + c*s + 21. Suppose k - 2*o = -y, -k + 3*o = 3*k - 1. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169701 - 50350*g**2 - 420*g**4 - 2*g**5 + 94380*g + 7*g**5 + 10005*g**3 - 230541.\nAnswer: 5*(g - 39)**2*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1 - -1*7). Let c = -1841 + 1845. Let v = c - q. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, a: 2, c: 3, o: 5, t: 7}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3\/7 (c) 160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 5*m**4 - m**4 + (-3*m - 3*m**2 + 3*m)*(4*m - 5*m - 2*m)*(-2*m + m + 0*m).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/9)*n)\/n*n**3\/n)\/(n**(-1\/6)\/n)**(-21\/4) assuming n is positive.\nAnswer: n**(-305\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 943 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 7 (c) 9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.034*537\nAnswer: -18.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 66938980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:27 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1643 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 20 + 10. Let x be 15 - (15 + -5) - 0\/3. Put -3, x, -12, h in decreasing order.\nAnswer: x, h, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 2. Solve -3*f + 7 + 7 = k*a, -10 = -3*f + 2*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 4:57 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, -2, -19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -22?\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/505?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-8)\/(-114)))\/((-50913)\/(-101826)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k + 1981 - 38*k - 3978 + 1997.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6594 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(30)\/(2*sqrt(5)))\/(sqrt(324)\/sqrt(12)) + (3*sqrt(18)\/sqrt(3))\/(1*sqrt(9)\/sqrt(3)).\nAnswer: -5 + 19*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 3*h. Let m(u) = u. Let p(a) = -f(a) - 3*m(a). Factor p(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + 1785*(-50)\/(-875).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-34) + 9\/(-2) - -4. Solve k = 3*r - 4*r + 4*w - 18, -3*r + 4*w = 30 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1*p*p**(-1))\/(p*((p\/p**(-2))\/p)\/p)**(3\/8) assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318 < 5374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:37 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480 + 1123. Is k\/((4\/(-8)*3)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.008 and -0.07.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/18 + 2\/9. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2551*l + 9*l + 106645 = 621*l for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*t - 40. Suppose d - 3*s = -7*s + t, 25 = -4*d + 5*s. Find the first derivative of 12 - 3 - 6*x + d - 6 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4*516\/(-1419)*6*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -a - 13, -f + 5 - 9 = 3*a. Let o = 21 + -11. Let r be 6\/o + 3349\/85. What is the greatest common factor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1404, 2734, 3978, 5088, 6016, 6714, 7134?\nAnswer: 7228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534 - 4?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose r*i = 6 + 117. Let h = i + -26. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1167 and 2790.587.\nAnswer: 3957.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*b - 160*b - 20*k + 109 = 0, 5*b + 34*k + 40*k + 105 = 69*k for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2 - 2*m - 1 + 6. Let r be ((-744)\/(-682))\/((-1)\/(0 - (-88)\/(-16))). Give g(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4151\/790 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062031631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, g: 2}. What is prob of sequence gccg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 + 3*z + 2. Let o(t) = -t**3 + 6*t**2 - 4*t - 7. Let y be o(5). Let u be n(y). Solve u = 4*f - 0*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/9, -2\/29, -2\/11, 0.5 in descending order.\nAnswer: 0.5, 2\/9, -2\/29, -2\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -116*s + 54*s + 67 + 53*s. What is the units digit of y(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let h be (-1)\/(b + -1)*0. Suppose -g + 15 + 29 = h. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 3*x + 2. Let y(p) = -9*p**2 - 7*p + 4. Determine 5*q(r) - 2*y(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*o + 255 + 218*o - 236 + o**3.\nAnswer: o**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m\/(m\/m**20)))\/((m**(1\/7)\/m*m*m)\/((m\/m**(-1\/11))\/m)) assuming m is positive.\nAnswer: m**(-1544\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 26. Let d be o(-12). Suppose -24 = -2*w - 0*g - 4*g, 1 = -d*w + g. Factor 5*x**2 - x**2 + 6*x**w - 6*x**3 + 0*x + 4*x.\nAnswer: -2*x*(x - 2)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2 = -5*b - 7, -7 = j - 5*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 14 + 9*h)*(2*h + 1 - 2 - h) + 17*h**2 - 96*h**2 + h**2 as p + d*h**2 + l*h and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 325.3, 5, -2\/7, -4, 3, 0.17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7971, 15941, 23911, 31881, 39851, 47821?\nAnswer: 55791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44189\/4 + -10994. Let p = v - 53. Factor -p + 0*w + 1\/4*w**2.\nAnswer: (w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 562*y**2\/11 + 40848*y\/11 - 190440\/11.\nAnswer: 2*(y - 138)**2*(y - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 - -15)\/(1 + 0). Solve -q + m*q - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = -5*d, 22*v + 3*d + 14 = 23*v. Solve v*m - 4 = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2414\/(-11) + (-1 - -3). Let p = n + 4678\/55. Let b = 132 + p. Does b = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 97?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 224 + -219 + (-2 - 21)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Let i(z) = 3*z - 64. Let w be i(24). Suppose 12*h - w*h - 14800 = d. What is h rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Let i be (-14)\/(-12) - (-1)\/3. Sort -0.4, w, i in decreasing order.\nAnswer: i, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4047118 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - 1. Let w be n(-1). Suppose g = 5*b - 168, -g + 3 + 169 = w*b. Suppose 4*k - 2 - b = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 34*q = d - 60, -4*d - 3*q - 1 - 39 = -2 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 31*i**2 + 227*i + 35. Determine w(-20).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -1 - 11212\/132. Let d = -81 - n. Is d at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130256925316.1400105 + -130257185442. Let s = b - -260126.4. Let f = s + -0.54. What is f rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 15. Let v be n(6). What is the highest common factor of v and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**5\/5 - 5*i**4\/12 - 7*i**3\/6 + i**2 + 3*i + 2. Let c(u) be the first derivative of k(u). Factor c(o).\nAnswer: (o - 2)*(o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 + 70 = 4*w. Let s = w - 32. Suppose 33 = 4*a - s. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3678246, 7356485, 11034724, 14712963, 18391202, 22069441?\n\"Answer: 3678239*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*t + 12, -2*i - 22 = 4*t - 16. Solve 12*w + 428 - 380 = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*g - 49473 = -51173 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(12 + 0). Let u = t + -3. Solve 0 = 5*x - 5*n + u + 2, 5*x + 5*n = 35 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (11 + -1 - 3). Suppose 13 + 5 = k*u. What is the first derivative of -u - 4 + g + 2 wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53266, -53259, -53256, -53263, -53286, -53331, -53404, -53511?\nAnswer: -53658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwgkwgzwgzgwkgw. Give prob of picking 1 g and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 261712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 129*n + 27. Let t be y(0). Sort 1, -274, t.\nAnswer: -274, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175\/3 + 57. Let f = -14327\/15 - -955. Let m = -2\/11 - -28\/33. Which is the nearest to -1\/2? (a) m (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136909132.\nAnswer: 2, 61, 561103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.1071 hours in seconds?\nAnswer: 3521185.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*z = -352 - 568 - 752 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 18 = 7*a - 4*a, -192*m - 22*a = -197*m - 15*a - 42 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 45014*z**3 + 406200561*z**2 + 2258903531416*z + 2518257612875536.\nAnswer: (z - 24551)**2*(z + 2044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 622 + 43 - 915*t + 55*t**2 + 276 + 19. Let i(v) = -9*v**2 + 153*v - 160. Let w(j) = -25*i(j) - 4*m(j). Find o, given that w(o) = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 52, 84, 114, 142, 168?\n\"Answer: -g**2 + 37*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/9 - 12\/54. What is z rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - -6.12. Let z = d + -5. Let l be 1 + -1 - (-2)\/(-20). Which is the biggest value? (a) l (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c + 4 + c**2 - 6*c)*(-c**2 + 6*c**2 - 2*c**2) in the form p + r*c**3 + q*c**4 + i*c**2 + l*c and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 722*g**5\/21 + 2014*g**4\/21 + 1718*g**3\/21 + 290*g**2\/21 - 128*g\/21 + 8\/21.\nAnswer: 2*(g + 1)**3*(19*g - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b68 + -29e?\nAnswer: 8b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71841 and 4851?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmc when three letters picked without replacement from mmcmcmmm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2071.41237 and 0.1.\nAnswer: -207.141237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 4, r: 1, g: 2}. Give prob of sequence gyg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:25 PM?\nAnswer: 245","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680 and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1987 divided by -2.\nAnswer: -1987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 265559912.08.\nAnswer: 265559911.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhppqdqe. Give prob of picking 1 q and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 15. Suppose -7*q = -42 + d. Find the third derivative of -3*k**4 + 21*k**4 - 4*k**q + 3*k**2 wrt k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-20)\/w)\/w**(-2\/69))**1 assuming w is positive.\nAnswer: w**(-1378\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let t = -0.2 - 0. Let u(s) = s + 1. Let h be u(-1). Which is the closest to g? (a) 0.1 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by -10*(2 - 4) + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 - 2*g**2 - 3*g - 2. Calculate h(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 2*x**6\/15 - 84*x**5\/25 + 17*x**4 + 316*x**3\/5 + 52*x**2 + 8950. What is n in v(n) = 0?\nAnswer: -1, 0, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/30 - p**2. Let g(k) be the second derivative of 0*k**2 + 5*k + 0*k**3 + 0 + 1\/4*k**4. What is g(i(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 3*p)*(-1 + 2 + 2)*(p + 0*p - 2*p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 8*o - 2. Let d(a) = a**3 - a - 2. Let v be d(2). Suppose 2*q = 10, -5*f + 28 = v*q - 82. What is the remainder when f is divided by z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -532\/135243 + -12656177713\/755737884. Let w = 1\/1397 + b. Calculate the common denominator of ((1\/(-30))\/((-9)\/36))\/((-171)\/(-990)) and w.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5614*w + 291412. What is a(-52)?\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 35. Suppose 3*x - b = -5*z, -6*x - 3*z = -x - 29. Suppose -x*w = w - 125. Solve -5*j + 0*j = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 4. Let c(w) = -w + 3. Let b(m) be the second derivative of -3*m + 0*m**2 - 1\/6*m**3 + 0. Let g be b(3). Determine g*c(l) - 2*k(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -205284, -410578, -615872, -821166, -1026460, -1231754?\n\"Answer: -205294*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 520, 734, 948, 1162, 1376?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/((-12)\/(-3)))\/(-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19152.14 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1209 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4870896, 9741789, 14612686, 19483587, 24354492, 29225401?\nAnswer: 34096314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -30. Suppose -o = 19*j - 23*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 21. Suppose -9*v - 12 = -10*v. Let p be c(v). What is the highest common divisor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 23*y + 15. Determine n(10).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 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: Simplify ((x*(x\/(x**2*x))\/x*x*x*x**13*x)\/(x**(-10)*x**(2\/17)))**(-48) assuming x is positive.\nAnswer: x**(-19488\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10611837 rounded to the nearest 100000?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2449821 divided by 2013?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -8, -3, 5.\nAnswer: -8, -4, -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at most as big as 16644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -408439317 and 5?\nAnswer: 408439322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**2 + n**3 + 228 + 0*n**4 - 49*n + 138\/5*n**5. What is the third derivative of s(l) wrt l?\nAnswer: 3312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -89*f**3 + 10*f**2 - f - 18. What are the prime factors of y(-7)?\nAnswer: 2, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/4 - 3*r**3\/2 - 3*r**2. Calculate the remainder when 59 is divided by s(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - (-3 + (-3 - -3)). Is (s - (0 + 1))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 2*m**3 + 3*m**2 + (-m**2 - 4*m**2 + 4*m**2)*(-m + 0*m + 4*m) - m**3 + 2*m**2 - 2*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.035 + -4.265. Let b = 29.7 - t. Let s = -29 + b. Put s, 3, -0.4 in decreasing order.\nAnswer: s, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 691.1? (a) -0.2611 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v*v**(4\/9))*v**(-5)*(v**(1\/2)\/v)**(-2\/3))\/(((v\/(v\/(v\/((v**(3\/7)\/v)\/v*v))))\/(v**1\/v))\/(v**(-4)*v\/(v\/v**(-3)))) assuming v is positive.\nAnswer: v**(-799\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 2*c + 1 - c + 20.\nAnswer: c + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, 70, 5 in ascending order.\nAnswer: -16, 0, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110269 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1383161 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 6. Let k(p) = p - 2. Give -7*k(s) + 2*v(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3)*-2*(13 - 18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.055069824349 and -518.\nAnswer: -517.944930175651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -2.365\nAnswer: 37.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387467636.\nAnswer: 2, 31, 673, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5216, 10415, 15614?\nAnswer: 20813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*z + 20, 30 = 5*b - 0*z - 5*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1474 and 65\/24474564?\nAnswer: 269220204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584538?\nAnswer: 2, 3, 97423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2514\/(-2*(-5)\/25). Let i = m + -988. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21109 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(1*sqrt(13))**2*5 + (sqrt(13)*-4 + -1 - (sqrt(13) - sqrt(52)\/(sqrt(12)\/sqrt(3) + sqrt(4))))**2.\nAnswer: -243\/4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9658462 to the nearest integer?\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 6*l + 3*l + 8, 5*l - 32 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 - (-5)\/15 and 1 - (0 - 158\/24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyff when four letters picked without replacement from {f: 3, y: 1, b: 1, r: 3, o: 2, k: 3}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**3 + 88*n**2 - 115*n - 66.\nAnswer: -(n - 11)*(n - 2)*(7*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-248)\/(-124))\/(2\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/8, -2169\/22?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) -0.1 (b) -2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**3 + 11*d**2 - 17*d - 11. Let z(u) = -3*u**3 + 4*u**2 - 6*u - 4. Suppose 0 = 6*y + 1079 + 511. Let i = y - -269. Calculate i*q(f) - 11*z(f).\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004585 to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.945065 kilometers to nanometers.\nAnswer: 6945065000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/180 + m**5\/60 + m**4\/24 - 2*m**3\/9 + m**2\/3 - 4624*m. Find s, given that t(s) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783248 is divided by 1551.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a factor of 24019920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 68 = x. Let i = 261 + x. Let b = 50 + 0. What is the greatest common factor of b and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*(-22)\/77*3\/((-192)\/(-112)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*d - 499985 = 0, 0*g + 2*g = -4*d + 499988. Suppose -7*q = -12*q + g. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 12*q + 2. What is i(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118 and 416149.\nAnswer: 49105582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 - 1))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11.21+2875\nAnswer: 2886.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o**2 - 2*o - 1. Let f be z(-1). Suppose p - 3 = -9. Let s be p\/(-4)*f\/75. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - -3) - ((-4 - -2) + 7 - 11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39 - (61 - 108))*881\/4. Is v at least -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6 take away -4?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.3899952 + 13.39. What is c rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, i: 7, c: 4}. Give prob of picking 1 c and 1 i.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1785\/(-336)*4)\/((-6)\/24)*-1.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**3 - 36\/5*t**5 - 3 + 63\/2*t**2 + 0*t + 0*t**4. Find the second derivative of f(a) wrt a.\nAnswer: -432*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/5 + 52*v**3 - 8808*v**2\/5 + 71344*v\/5 + 443456\/5 = 0.\nAnswer: -4, 26, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:09 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1\/5, -17, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 3, p: 1, c: 4}. Give prob of sequence cpc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1123)\/3 - (-35)\/(-21). Let w = v - -389. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = p - 2226. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16458135 and 20?\nAnswer: 65832540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13537 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2. Let y(z) = z**3 + z**2 - 8*z - 2. Let i be y(-3). Let w = 0 + 0. Let b(v) = w*v + 2*v - i*v. Give o(b(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2412, -19180, -64698, -153342, -299488, -517512, -821790?\nAnswer: -1226698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -3, -1 in descending order.\nAnswer: 11, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 59*h**2 - 84*h - 2270. What is y(-60)?\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6+0.052758\nAnswer: 6.052758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032794 to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(14\/7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 353318 + 58318 = 0. Let u be -10*(-4 - (4 + 2))*y. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -141*p**2 + 486*p**2 - 241*p**2. Let q(w) = 6*w. What is q(u(z))?\nAnswer: 624*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -320 (b) 0.3 (c) -1129 (d) 3\/515\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -12.338 in decreasing order.\nAnswer: 0.2, 0.1, -12.338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 54. Let z = 64 + h. Suppose d - 1 - 10 = -s, -4*d - 2*s = -42. What is the greatest common divisor of z and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 101449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(58788\/(-1704))\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12000889, -24001810, -36002731, -48003652, -60004573, -72005494?\nAnswer: -84006415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/154644 and -55\/84.\nAnswer: 154644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1372 - 1372.02. Put k, -3, -86, -1, 2\/7 in ascending order.\nAnswer: -86, -3, -1, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11. Let o(u) = -5*u**2 - 12*u**2 - 14*u**h. Let t(m) = 4*m**2 - 2. Let s(d) = -29*d**2 + 14. Let r(q) = -s(q) - 7*t(q). Determine r(o(y)).\nAnswer: 961*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -89, -40, 79, 274?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + p**4 + 3*p**4 + (-7*p + p + 2*p)*(4*p**3 - 2*p**3 + 2*p**3) + 1 - 1 - p**4 + (p**2 + 0*p**2 + 2*p**2)*(2*p**2 - p**2 - 2*p**2).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105, 103, 99, 93?\n\"Answer: -x**2 + x + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -147*s**4\/8 - 67*s**3\/2 + 340*s**2 - 3. Differentiate n(i) wrt i.\nAnswer: -441","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289685?\nAnswer: 5, 11, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(2 + -5*sqrt(153)*-1*1)*-6*-5)**2.\nAnswer: 864000*sqrt(17) + 55137595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2 + 1 + 26*x - 7*x + 0*x. Let m be l(1). Let v(b) = m - 22 - 16*b**2. Let z(y) = -3*y**2. Calculate v(z(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/(-4)*(-4)\/6. Solve 0 = 4*p + 11 + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156511110 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296637, -593298, -889959, -1186620, -1483281, -1779942?\n\"Answer: -296661*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 12*m**2 - 103*m**2 + 19*m**2 + 38*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)*c*c**(-1\/7)*(c**0)**(-14\/9) assuming c is positive.\nAnswer: c**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 776240*x**2 - 3104880*x = 0. Calculate x.\nAnswer: -155244, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**4 + 4*x**3 + 2925*x wrt x.\nAnswer: 48*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**2*v**2 - 2*s**2 - 5*s*v**2 - 3*s*v - 30661*v**2 with respect to s.\nAnswer: 6*s*v**2 - 4*s - 5*v**2 - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 849616.80106 + -849625. Let n = t - -8.2. Round n to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129931202 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 938178*d**3 + d**2 + 468214?\nAnswer: 5629068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470*f - 2481*f + 210*f)*(-4 + 3 + 4).\nAnswer: -8223*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, i: 4, u: 3}. What is prob of picking 2 e and 2 h?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -164466 less than -5?\nAnswer: 164461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1577 and 2152937?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 - -419. Suppose 2*v + 97 + c = -4*x, -3*v - 225 = 3*x. Is -77 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from kcnckkkcknkck.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15143.\nAnswer: 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**3\/6 + 13*v**2\/2 + 23*v. Calculate the remainder when 54 is divided by l(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y - 1. Let d = 22 - y. Suppose -3*x - 119 + 93 = -5*u, -4*u + 4*x + 16 = 0. What is the greatest common divisor of u and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346712893?\nAnswer: 19, 29, 629243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:11 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 15}. What is prob of sequence xxa?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Find the common denominator of 7\/8 and (-59)\/(-18)*z\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2 - (13 + -29 + 24 + -2) - 128?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**21\/l)\/l**(-32))\/(l**(3\/37)*l**(2\/67)\/l*l) assuming l is positive.\nAnswer: l**(128633\/2479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9844149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15844.\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*q*r**3 + a**2*r**2 + 3*a**2 - 3*a*q*r**3 - 36*q*r**3 - 448*q*r wrt r.\nAnswer: 12*a**2*q - 18*a*q - 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6265 - 2754.6. What is g rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -97\/90728, -1\/2 in decreasing order.\nAnswer: 4, -97\/90728, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + -576\/7. Let w = -3\/38 + 85\/114. What is the third biggest value in w, 3\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071016 - 7926704110.\nAnswer: -7926704110.071016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24746, 198180, 668936, 1585676, 3097062?\nAnswer: 5351756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (130\/200 - -3 - 2\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 18 + 18)*(-13 + 2 - 34 + (0 + 4 - 3)*(-2 - 1 - 7)).\nAnswer: 220*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 761355 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.928 in 0.3, -2.2, -0.8, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30*(16\/(-12) - -2). Suppose w = 6*w - v. Let k be 7 + (-4)\/w + -4. Solve -12 = 2*d - 3*x, -4*x + k = 2*d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-33)\/(8\/288*-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k + 4. Let w be 2 - (10\/2 - 2). Let s = w - 0. Let b(z) = -647*z + 330*z + 318*z - 1. Determine s*x(t) - 5*b(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3109 to the nearest ten.\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4011 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-19)*t)\/t**(-4) assuming t is positive.\nAnswer: t**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:29 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 507 - 507.4. Which is the second smallest value? (a) -151 (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 948*((-25)\/(-15) + -1). Suppose 0 = s - d - h - 107, 0 = -s - 2*d + 742. What is the units digit of s\/6*3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 269*y - 337*y - 400*y + y**2 - 421*y + (-y + 3*y**2 + y)*(3 + 1 - 1).\nAnswer: 10*y**2 - 889*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 - 2*h**2)*(-5*h - h**3 + 5*h + (-2*h**2 + 2 - 2)*(2*h - h + 0*h) - 10*h**2 + 10*h**2 - 4*h**3).\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1927355*b*k - 33601*k + 9 wrt b.\nAnswer: 1927355*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(567) + -5 + 5)*-6)**2*-1.\nAnswer: 122472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20*n + 19*n + 285 = 0, 171 = 3*z + 4*n. Let p = -39 - -45. What is the remainder when z is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -28, 10, 58, 116, 184?\n\"Answer: 5*w**2 + 13*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -327*g**3 - 16*g**4 + 327*g**3 + (-2*g + 0*g + g**2 - 4*g**2)*(g**2 + g - g).\nAnswer: -19*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 905 - 883. Which is the smallest value? (a) o (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 8 = 0, -8*x - 15*x + 5*l - 65 = 7*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) - (sqrt(378) - sqrt(378)*-2))\/sqrt(6))\/(sqrt(81)\/sqrt(36)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(2\/(-36) - 0). Let n be (-214)\/(-18) - 26\/h. Suppose -8 = -5*d + d. Solve -n = -2*m - d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6821?\nAnswer: 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -189c?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Let r = 0.1 + v. Do r and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1672.\nAnswer: 8360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 19880476*n + 148212497244966.\nAnswer: 2*(n - 14910357)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.986961ug in tonnes?\nAnswer: 0.000000000000986961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = 3*l - 1631. Let b = l - 265. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35464?\nAnswer: 2, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-102)\/68*(-10)\/(-3). Put 0.1, c, -2\/7, -2.1 in descending order.\nAnswer: 0.1, -2\/7, -2.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/120 + y**5\/15 - y**4\/24 - y**3\/6 + 4*y**2. Let z = 12 - 7. Suppose z*n = n + 16. Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7449889 + 0.745. What is v rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 14. Let n be ((-126)\/72)\/((-10)\/24) - 4. What is the third smallest value in -0.3, -4, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 5*i + 5. Let j be 22 + -21 - 4\/(-1). Let k = 2 - j. Let h be (-4 - k)*(1 - 6). Determine s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxkkffx. What is prob of sequence xk?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/7*(-8364)\/5576?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -2.584 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, -1, 0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 12, 2*f - 17 - 6 = 3*j. Let w(y) = 3*y - 3. Let k(t) = -t**2 + 5*t - 5. Let n = 6 - 3. Suppose 0*h + n*h = 9. Determine h*k(p) + j*w(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 6*q**2 + 79*q - 344. What is c(5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4448*1\nAnswer: -4448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 769433*w**3 - 769213*w**3 + 0*w**2 - 2*w**2 + 1 + 4*w**2 to the form p*w**2 + b*w**3 + g*w + d and give b.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 9*a - 42 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519538, 1519546, 1519554, 1519562, 1519570?\nAnswer: 1519578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = -3*l, 3*l + 2*d = 16 + 3. Suppose a + 0*a - l = 0. Calculate the highest common divisor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.014185 * 3\nAnswer: -0.042555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 0*u + 21 = 0. Let c be (-2 - (-14)\/u)*12. Suppose c = s - 21. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 195 = -30. Is 23 a factor of 1471 + (-26)\/39*l\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -966 + 963. Let r(o) = 20*o**2 - 4*o - 3. Let y(a) = 20*a**2 - 4*a - 4. Let j(h) = 4*r(h) - 3*y(h). What is the tens digit of j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 23*z**2 + 37*z + 17. Give x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssbb. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-258)\/(-301)*(-42)\/(-27). What is the nearest to 1\/2 in 9, 0.3, m, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4*t*t**(-2\/5))\/(t**(1\/4))**(-39) assuming t is positive.\nAnswer: t**(147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 3*r + 6, -2*r - 1 = s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let i be (r - -1)*(-1)\/(-2). Differentiate -i*z - 3*z**2 + 3 + z + z with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let t = -0.5 + 0.7. Let i = -455\/86 - -206\/43. Which is the closest to f? (a) i (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.2731326 and -1024?\nAnswer: 1001.7268674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67266, 67265, 67264?\nAnswer: 67263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2.008?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*m + 18 = 0, -4*c + 3*c - 2*m + 1 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*t - 25 - 7, -4*t + 8 = 4*s. Suppose y - 15 = -3*w, -5*y = -2*w - s - 0. Suppose 5*k + 5*j - 32 = -2, -y*k = j - 10. Solve k*p = 5 + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (232 + -132) - 39.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*u - 169*u + 19 = 3*r, -3*u + 2*r = 0. Solve 0 = 17*v - 13*v - 2*l - u, 4*v + 33 = -5*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + sqrt(22)\/sqrt(2) + -1).\nAnswer: -12*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n + 7*n + 4*n - 184128. Is n bigger than 6576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyvmkkwvnnvnvvmv. Give prob of picking 1 w and 3 v.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.4, 2, 0.4 in decreasing order.\nAnswer: 28, 2, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 - (-10 + 1)) - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 697129284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004506807 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1542 - -19180. List the prime factors of p.\nAnswer: 2, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, 10 in increasing order.\nAnswer: -3, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 18 = 4*n - 48, 3*n - 19 = 2*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x = 57*x. Let c(o) be the first derivative of 1\/3*o**4 + 1\/9*o**3 - 1\/5*o**5 - 1\/3*o**2 + x*o - 6. Let c(t) = 0. Calculate t.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g = -27*g - 2107 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 - 25 = -3*w, -2*w - 3*o + 21 = 0. Suppose 5*z = -w*v + 178, 3*v + 3*z = 8*v - 308. Suppose 0 = 4*i - v - 47. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6204, -12412, -18620, -24828?\n\"Answer: -6208*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 597456 by 3688.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3302781571\/70 - -47177393. Let v = -5201 - r. Find the common denominator of -79\/98 and v.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 144*d - 2054. Calculate f(12).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 142. Let i = 313\/3 - q. What is y in 0 - i*y**3 + 1\/3*y**2 + 0*y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -50. Suppose 5*c - 13 = d, b - 21 = -2*c - 3*d. Sort 5, -27, c.\nAnswer: -27, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -6) + -1 + 0 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137598613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13383.8145 hours to weeks.\nAnswer: 79.6655625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13042.615 minus -55?\nAnswer: -12987.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(-6)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -849.\nAnswer: -3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53746 is divided by 111.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/4)\/u*u)\/(u\/(u**(-7)*u)))\/((((u\/((((u*u**8*u)\/u)\/u)\/u))\/u)\/u*u)\/u*u**1))\/(u*u*u**12*u*u**(-3\/10))**(-2\/87) assuming u is positive.\nAnswer: u**(341\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/558375 and 53\/69?\nAnswer: 12842625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -4.04. Let d = -117 - -118. Which is the third smallest value? (a) k (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.042 + 0.622. Let i = 1227.16969 + -1227.75. Let v = u + i. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m - 16 = 0. Suppose 0 = c + 2 - 5. Suppose c*s - 2 = -l, -4*l + s + 3*s - m = 0. Is l greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 + 4 = 0. Suppose 0*i = -3*i. Suppose -3*w + w = -10, i = -5*z - 3*w + 15. Sort k, z, 3 in ascending order.\nAnswer: z, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4*x - 4 + 7*x)*(53 + 28 - 30) + (1 + 1 - 3)*(5 - 5 + 2*x) to d + a*x and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/12 + 2*c**2 - c. Calculate the remainder when w(-4) is divided by 1*4*(-11)\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136231 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.397 and -23521.\nAnswer: -338631.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o - 0*o. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let u be b(5). Is (-417)\/(-15) + 2\/u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003128729 rounded to 6 decimal places?\nAnswer: -0.003129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 578, 840, 1080, 1292, 1470, 1608?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 less than -49109518523.4?\nAnswer: -49109518343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*x = 52, -3*p + 2*x = -8*p - 59. Let b = -11 - p. What is b rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**2 + 18*a - 21. What is the units digit of m(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0*n + 3*n**2 - 1\/24*n**4 + 0*n**3 + 0. Suppose -5*b = v - 25, -3*b - 2*b - 5*v + 45 = 0. Give x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700 or -35149?\nAnswer: -35149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10353\/5 - -2062. Let u = f - -41\/5. Sort -14, 0.2, u in descending order.\nAnswer: 0.2, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15477\/8 < -1934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6 - 9*m + 14*m - 2*m + 2*m - 35. Determine x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s + 3*i - 140, 0 = 2*i. Which is bigger: 67\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/236 - 1021\/30916. Let o = -314\/1703 + m. Which is greater: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -90 - 90. Solve -y*c = -24 + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 4*n**2 + 3*n + 1. Give b(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 10 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33785 and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 152*u - 106. Calculate s(-32).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (484\/(-77) + 5 + 2)*-1\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 147?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59594.04um?\nAnswer: 0.05959404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -16, 14*u - 387 = -15*u - 5*u + 49*u - 3*g for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, 5*f - 2*w = w + 125. Let m be ((-1)\/6 - (-4017)\/18) + 0. Let u be m - (-4 + (3 - 1)). Calculate the highest common divisor of u and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = -136*o - 852 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-12)\/(-2)) + 15\/(-3) - 23460\/(-2070).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 33, -2, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 + 241. Is y < 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 + 7*i**3 + 85*i**2\/4 - 129*i\/2 + 36.\nAnswer: (i - 1)**2*(i + 6)*(i + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 b when three letters picked without replacement from {u: 1, b: 1, y: 2, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 0.4, -0.1 in ascending order.\nAnswer: -2, -0.1, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29315 + 493?\nAnswer: 297a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*x**3 + 6*x**3 + 5*x**2 - 5*x + 3*x + 4*x to the form w*x**2 + c*x + n + j*x**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211001 - 20?\nAnswer: -211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 98, 141?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 40*d - 66. What is v(-23)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/138*15\/25)\/(7\/966)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0*c - 58 - 16*c**2 + 126 - 6*c**2 - 3*c - 64. Let w(b) = 43*b**2 + 6*b - 7. Let g(o) = -7*d(o) - 4*w(o). Let m(x) = -3*x**2. Determine g(m(p)).\nAnswer: -162*p**4 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -7, -61, -115?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -17*f**3\/3 - 1224. Let a(y) be the second derivative of -2*y**4\/3 + y. Determine 7*a(d) - 3*j(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 679, 4, -7, -2, -0.78, -3\/2 in decreasing order.\nAnswer: 679, 4, -0.78, -3\/2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.2672 - -2155.\nAnswer: 2204.2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3964 = 5*x + 2*d, -24*d + 25*d = 2*x - 1582. What is the least common multiple of 3 and x?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582*u = 539*u. Let f(c) be the first derivative of 3 + 7\/5*c**5 + 29\/3*c**3 + 0*c**2 + 0*c + u*c**4. Find the third derivative of f(s) wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/8)\/a*a**(-2\/9)*a*a assuming a is positive.\nAnswer: a**(119\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u**2 - 9. Let w = -74 - -71. Is 81 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 4*u)*(-4 + 9 + 3 + 4)*(-3 + 5 - 53).\nAnswer: 612*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 250372 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 5 (c) 332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 28. Solve -2*i + r + 5 = 0, -3*i + z*r - 2 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, t: 3, f: 1, a: 4, z: 1}. What is prob of sequence tztf?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 12 - 20. Let t = d - 14. Sort -2, -1, t in descending order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 + 7*t + 5. Calculate d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 3*m = -o*m + 90. Calculate the remainder when 53 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 432894436, 865788873, 1298683310, 1731577747, 2164472184, 2597366621?\n\"Answer: 432894437*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 282797803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.73758 + 60.73. What is b rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 136, 270, 404, 538?\n\"Answer: 134*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28510 divided by 5?\nAnswer: 5702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 88. Suppose -t = x*d - 506, -2*d - 3*d = -t - 1272. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-12)*1)\/(-2))\/((-1850)\/300)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83229.48 weeks in hours?\nAnswer: 13982552.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-12 - 15 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1\/2, 3, 459000?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*0.08\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 3.39147.\nAnswer: -13.39147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + 5. Suppose 3 + 27 = -i*z. Is (-1510)\/z - (-18)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -569.03 - -576. Let u = 0.03 + s. Let c = -0.199 - 0.801. Are c and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76225068 * 19.\nAnswer: -1448276292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 8495*p + 258540.\nAnswer: 5*(p + 31)*(p + 1668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3, 0, 127, -137 in decreasing order.\nAnswer: 127, 5, 0, -2, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4)*-4)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89442 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 30*c + 33. Let b(h) = h + 1. Suppose 5*k - 9 = 2*y + 15, 3*y + 5*k = 14. Let l(i) = y*w(i) + 66*b(i). What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410333 (base 5) in base 3?\nAnswer: -200010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16*o - 1368 = 0. Suppose -5*s = x - o, 7*s - 2*s - 3*x = 92. What is the remainder when 72 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312416790.\nAnswer: 2, 3, 5, 7, 191, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10042 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*s**2 - 143*s**2 - 136*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081289163 rounded to the nearest one hundred thousand?\nAnswer: 1081300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 - 6*x + 5. Let p be r(7). Suppose p = 2*g + 5*k, -2*k - 196 = -4*g - 6*k. What is the greatest common factor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4702*q - 4742*q + 13200 = 0. What is the highest common divisor of 1155 and q?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/(5\/21*(-44)\/(-220))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 - 1544*a**2 + 1548*a = 0?\nAnswer: -387, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1)*(-10)\/10*-1. Suppose -3*p + 11 + 4 = j. Solve 2 = 7*v - p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*m**2*p - 23*l*m**2 + 14926131*l*p - 2*l + 8560*m**2 + m - 1 wrt p.\nAnswer: -l*m**2 + 14926131*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1160*f**2 + 10*f**2 + 733*f**2 + 277*f**2. Let v(a) = 2*a**2. Determine v(s(m)).\nAnswer: 9504800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 - b + 1. Suppose -4*w + 3 = -t + 15, -t = -2*w - 6. What is the remainder when (-2)\/(-4)*92\/2 is divided by x(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c**2)\/c*c))\/c)\/c)\/(c*c\/(c*c**(1\/6)))*(c\/c**(-2\/11))\/((c*c**6)\/c)*((c*c*c**0*c)\/c**(-1\/6))**(4\/15) assuming c is positive.\nAnswer: c**(-8719\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1081 + 5.1081. Which is the third smallest value? (a) 1\/9 (b) t (c) 281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 5. Let l(c) = 8*c**2 + c - 1. Let b be l(r). Suppose 2*v = b, 0 = -u - 3*v + 18 - 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16843 - 11657. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113713560*r**3 - 222484729*r?\nAnswer: -682281360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209801 and 210.\nAnswer: 44058210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 170 = 50. Let u be 4 - (-3)\/(6\/n). Let c = u + 6. Solve 5*i + 3*p + 28 = c, -3*i - 5*p + 0*p - 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = r + 3*t - 8, -2*t = 3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**2 + 619*c + 2942. Let f(n) = -6*n**2 + 411*n + 1962. Let x(l) = -14*f(l) + 9*k(l). Determine z, given that x(z) = 0.\nAnswer: -5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 - 4.65. Put s, 4, 5 in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + -9)*2\/1. Let v be 12\/10*(-30 - 0). What are the prime factors of 2\/j + v\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 567, 847, 1127?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:27 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 15*a + 11. Calculate z(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-8)\/12 + 26\/(-15)). Let b be (3\/k*-6)\/((-9)\/6). Let z be 10\/8*(-2)\/55. Is z != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(170)*-2*-5 - (sqrt(170) + sqrt(170) + 4*(1*sqrt(170) - sqrt(170)) + sqrt(170)))\/((sqrt(550)\/sqrt(176))\/sqrt(5))).\nAnswer: 5 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11695.1 - -11695. Which is the closest to g? (a) -2 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1363492, -2726952, -4090372, -5453746, -6817068?\nAnswer: -8180332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/86 and -16\/301?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*p = -8510, -2*u + 5*p - 4*p = -17011. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109246995 a multiple of 6239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.284 - -0.284. Let l be 57\/(-6) + (-6 - -10). What is the third smallest value in z, -0.4, -4, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296161 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 15.12. Let a = z - 1.12. What is the nearest to -1 in -2\/23, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 0, -5.\nAnswer: -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4219 + -2.4219. Let c = -1.8 + 2. Let q = -0.4 + c. Put q, h, 1 in increasing order.\nAnswer: h, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:06 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 59. Let m = 37.2 - s. Let l be (18 - 13) + 19\/(-4)*1. Which is the closest to l? (a) 1 (b) -1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*s - 95*s = 2, -526 = -2*h + 2*s. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v - 6. Let l(r) = -21*r + 13. Let f(s) = 4*l(s) + 7*x(s). Let t be f(3). Let y = 35 + t. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 1000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814406 - 13*t**3 + 407575 + 406831 - 17*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -1 (b) -1\/4 (c) 2\/37613 (d) -3.9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and -0.053412 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeboebeoeeeuoe. Give prob of sequence uo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 852491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125.23074326 - 1229.23081216. Let t = g - -1104. What is t rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 10121256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21133 (base 4) to base 15.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5834 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 + 7*o**4\/8 + 53*o**3\/6 + o**2 + 1682. Calculate m(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1254, -3\/5, -236?\nAnswer: 1254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -18*c - 49. Calculate the remainder when 235 is divided by d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -611 - -610.9259. Round p to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-117)\/(-273)*(0 - -1))\/(-3)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 342*h - 680.\nAnswer: -(h - 340)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 9}. What is prob of sequence hhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m**5*m)*m))\/m*m)\/(m**20\/m))\/(m*(m**(-8)*m)\/m*m*m*m**(-15)) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15*w**3 - 4*w**2 + 4*w - 2. Let z(a) = 8*a**3 - 2*a**2 + 2*a - 1. What is -3*r(f) + 5*z(f)?\nAnswer: -5*f**3 + 2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 378\/36 - (-5)\/10. Solve r*k = 9*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 811*i**6\/30 + 207*i**2 + 1301*i. Differentiate d(n) with respect to n.\nAnswer: 3244*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, 5, -5, 3, -126 in decreasing order.\nAnswer: 365, 5, 3, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5686272 = 216*l - 24*l. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 1188*o - 50190.\nAnswer: (o - 7170)*(o + 42)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 36954020*r + 68279979708020.\nAnswer: 5*(r - 3695402)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + f)*(-2 + 1 + 2) + 14 - 3694*f + 1885*f + 1839*f.\nAnswer: 32*f + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.652 - -3.6. Let j = 0.048 - x. Is j less than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1316908 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 28 + 429*f + 51*f + 86*f as r + t*f and give t.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 6. Let b be j(4). Let a be b\/(-7) - (-6)\/21. Suppose -6*r + 25 = 7. Solve -2*c + 3*c - r = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 6. Suppose 4*p - 4 = 0, -2*s + 3*p = 2*p - 7. Which is the fourth biggest value? (a) 2 (b) s (c) m (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-64))\/((-285)\/(-12160)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7539 - 0.2461. Which is the nearest to -0.1? (a) -0.03 (b) -3 (c) 1\/17 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Let j(d) = d**3 - d**2 - d - 1. Let z(i) = -3*i**3 + 2*i**2 + 2*i. Let w(n) = q*z(n) + 2*j(n). Differentiate w(y) with respect to y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2024 - 1131. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 13. Let d = -21 - -12. Let a be c(d). Is a equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4148*h = -4147*h - 3*y + 7, h + 5 = y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*p + 25 = -5, 3*p = 2*q - 23. Let t(x) = 2*x + 0*x + 4*x - q*x. Let l(d) = -15*d. Give t(l(c)).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 1, g: 1, i: 1, h: 7}. Give prob of sequence ibnh.\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 38. Determine v(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3394*v**3 + 9*v**2 + 16*v + 3. Let s(b) = -3395*b**3 + 10*b**2 + 18*b + 2. Let f(d) = 6*r(d) - 5*s(d). Let h be f(4). Round h to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830236 by -1.\nAnswer: 830236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 193844 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3614.6 - -3614.599928959. Round a to 7 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4 + 6*m**3 - 7 - 8. Let j(x) = -13*x**3 - 9*x**2 + 8. Let w(s) = -3*s**3 - 2*s**2 + 2. Let b(g) = 2*j(g) - 9*w(g). What is 11*b(q) - 2*z(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 9*i**2 + 13*i + 71. Calculate the remainder when 2413 is divided by g(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1 - 7. Let r be (-30)\/5*19\/p. Let i = 51 - r. Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f - 3*f**3 + 6*f**3 - 46*f.\nAnswer: 3*f**3 - 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -284. Let w be (-16)\/(-6)*r\/16. Factor -14 + t**2 - t**3 + w.\nAnswer: -t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Suppose 4*b = m, 0 = j*b + m + m. Solve 3*p + 3 = -b*a + a, -9 = 3*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.929 rounded to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (26 - 12 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -2. Let f be 0 + 1 + 1*z. Let u be (-15)\/9*f\/(-5). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 11*h + 11. Let k be p(8). Let s = k + 299. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -532*a + 1. Let d(h) be the third derivative of h**4\/24 + 2*h**2 - 265. Calculate d(i(r)).\nAnswer: -532*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 9 - (14 - 29 - -11)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 3*a - 3*p + 2, 0 = 5*a - 2*p - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550.94mg in tonnes?\nAnswer: 0.00000655094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + 9*g**3 - 6*g**3)*(3 - 3 - 2*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 327, 1, 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 5. Let i(u) = 1. Suppose -3*n - 2*c = c, 4*n - c - 25 = 0. Suppose -54 + 6 = -8*m. Suppose 0 = 6*d - m - 0. What is d*y(b) + n*i(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o + 2*j, -3*j - 11 - 8 = -o. Suppose -o*p = -2*p - 134. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 minus 10155?\nAnswer: -10068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - x**2 - 3*x + 5. Let w be z(2). Let r = 18 - w. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 4*r)*(35*r - 19*r - 19 - 14*r) + (0*r**2 + 0*r**2 - r**2)*(2 + 1 - 1).\nAnswer: 4*r**2 - 57*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 33 = 67. Suppose -2*d = 3*d - a. Solve -2*m - d + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1764*o**3 + 1751*o**3 - 8*o**2 - o**2 to the form d*o**2 + h*o + y*o**3 + j and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Let y = w - 5. What is the biggest value in y, -2, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**7)**(-9\/2) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -191*i**4*l - 10*i**2*l - 5*i*l + 78*l + 9730 wrt i.\nAnswer: -764*i**3*l - 20*i*l - 5*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463276?\nAnswer: 2, 11, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.66874 + 1.46874. Let z be -4*(2 + 2 + -1). Let j be (-9)\/4*(-8)\/z. Which is the nearest to -2? (a) -5 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 668\/501*6\/5\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -339\/2*q + 3\/2*q**3 - 351\/2 + 15\/2*q**2.\nAnswer: 3*(q - 9)*(q + 1)*(q + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 554.0651 + -0.0651. Let j = -549.46 + w. Round j to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 + 2*h**2 - 3*h + 1. Let n be u(1). What is the second derivative of -2*l**5 - 3*l**5 + 7*l + n*l - 3*l wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -303 in decreasing order.\nAnswer: 10, -4, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 839499 and 2563.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/120 + 13*c**5\/60 - 7*c**4\/12 + c**3 + 11*c**2. Let m be j(-14). Factor 0 + 0 - 2 - m*r - 2 - 2*r**2.\nAnswer: -2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*3)**2 + 2 - (5 + sqrt(1250) + 1)) + 0.\nAnswer: -25*sqrt(2) + 4046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -20. Let t = -2 + 28. Calculate the least common multiple of s and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**3 + 4*j**2 + j - 2. Let c be l(-2). Is 6 a factor of 28\/6*c\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) -2 (b) 0.0652 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 102, -9, 0, -60 in ascending order.\nAnswer: -60, -9, 0, 2, 11, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -155852, -2\/5 in increasing order.\nAnswer: -155852, -2\/5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -9.4968?\nAnswer: -9.4968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5324))**2 + (-2*sqrt(11)*1 - (0 + sqrt(176))).\nAnswer: -50*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (162\/8)\/(27\/(-72)). Let y be (-3)\/1 - (3 + h). Suppose l + y = -3*l. Which is smaller: -10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(99)\/sqrt(3))*5)\/(-1*sqrt(1100)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 114*h - 226. Let d(v) = 5*v**2. What is j(d(b))?\nAnswer: 25*b**4 + 570*b**2 - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -117. Let v = w - -7. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032500.9 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1515*d**3*y**2 - 2572*d**3 + 9021*y**2 + 4*y + 14 wrt d?\nAnswer: 4545*d**2*y**2 - 7716*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9562, 38216, 85980, 152860, 238862?\nAnswer: 343992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/(-192) - (-931)\/8.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 21*h**2 - 52*h - 151. Let o be d(26). Is o > 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11054 or 10964?\nAnswer: 10964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b (base 14) in base 7?\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 - 12638295*m**2*q**3*x + 579722*q**3*x + 3*q**2 - 1 with respect to m.\nAnswer: -6*m**2 - 25276590*m*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5157*x + 581490 = 5187*x. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*10.8\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-1)\/(-30) + (-4)\/(-24))*12085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 1 + 1 + 9*l)*(-9*l + 212*l + 112*l).\nAnswer: 945*l**2 + 630*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/24*(-1638)\/624*(-2)\/(-2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*k**2 - 108*k**2 - 3*k - 8*k**3 in the form o*k**2 + y + p*k**3 + i*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-196))\/(13150\/4208)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:29 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 612088 = 611304 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 328919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/24 + l**2\/2 - 3*l. Let d(q) be the first derivative of t(q). Determine d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 21*n**3 + 15*n**3 - n**3.\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:33 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42*-0.5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r. Let b(q) = q**3 + 4*q**2 - 14*q + 3. Let s be b(-6). Suppose -3*o - 56 + s = -5*p, 3*p - 2*o - 25 = 0. What is m(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4 - 5*t**2\/2 + 7*t + 198. Let i(r) = 6*r**3 - 7*r + 10. What is -7*a(o) + 5*i(o)?\nAnswer: 2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -128, -131, -134, -137, -140, -143?\n\"Answer: -3*f - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*w**2 + 3)*(5 - w - 5) + 2*w**3 + 3*w**3 + 2*w**3 + w**3 + 5*w**3 + 2*w**3 - w - 2*w**3 - 4*w**2 + 5*w**2 + 3*w**3.\nAnswer: 13*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -832.\nAnswer: 74.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4377277\/88 + 49741. What is the common denominator of r and -23\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 + 3 - 1 + h. Suppose -4*n + 5*n = 5. Let u be x(n). Solve m = -m - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*r*u + 49*b*r - 89*b*u + 2*b - 616*u - 2 wrt r.\nAnswer: 3*b*u + 49*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8116948\/9 greater than 901884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13\/2))**6\/((g*(g\/(g*g**(-6\/11)))\/g*g)\/g)**4)**(-37\/5) assuming g is positive.\nAnswer: g**(16761\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1300 * 5\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.66 - 4.66. Which is the third smallest value? (a) -1\/2 (b) j (c) 1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38865\/22 + -1769. Let t = 139\/11842 - -7\/191. Let a = -1381\/31 + t. Calculate the common denominator of a and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/sqrt(8) + 4)**2.\nAnswer: 32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0527 - 4.0527. Which is the second smallest value? (a) o (b) 9.3 (c) -1\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -18530738690.\nAnswer: -18530738690.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 11. Factor -a**3 - 2*a**3 - 2*a + 4 - 5*a**2 + 5*a**3 + a**j.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -u + 1 + 28, 5 = r - 2*u. Suppose 5*g - r*g = -38. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46697*h**3 + 148*h**2 - 4474392*h.\nAnswer: -280182*h + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - -144?\nAnswer: 145.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4587 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 - 346912*d + 30086983936 = 0?\nAnswer: 173456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 324\/(-252)*(2\/6)\/1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14604458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*h - 1535 - 2944, -h - 5*b + 1503 = 0. List the prime factors of h.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-2 - 20\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 13. Let q be d(-18). Suppose q*r = v - 0*v + 365, -10 = -2*v. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(147)*-2 + sqrt(147) - (sqrt(45)\/sqrt(3))\/sqrt(5) - (-2*2*sqrt(3) + (sqrt(45)\/sqrt(3) + sqrt(15) - sqrt(15))\/sqrt(5)))**2*3.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.2, 15, -14\/9, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1497.92391 to 2 dps.\nAnswer: 1497.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/397513 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d + s + 4, -5*d - 5*s + 25 = 0. Suppose d*f + 94 = 256. Let a be (2\/(-6))\/(1\/36*-2). Calculate the highest common factor of a and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:02 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5 + 3 - 3*k)*(3 + 1 - 16).\nAnswer: 12*k + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4192 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a**2 + 4*a - 2. What is l(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10*g = 0, -4*c - g - 34 + 15 + 4 = -0*c - 14 - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11171, -11277, -11443, -11669, -11955, -12301?\nAnswer: -12707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 6*a**2 - 7*a. Suppose 2*c + 26 = 4*z, 2*c = 5*z - 0 - 29. Determine b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-960)\/1200)\/(11*2\/10)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r + 5. Let t be a(-2). Let j = 34 - t. Suppose 4*s - 4 = 4*i, 2*s = 4*s + 2*i - 10. Solve n + 6 = s*n + 3*f, 0 = j*n + 5*f - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let d = -7 - -10. What is the first derivative of 1 + c**i - 2 - 3*c**d wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 38 + 1\/90*h**6 - 2\/3*h**2 + h - 2\/9*h**3 + 1\/12*h**4 + 1\/15*h**5. Factor x(v).\nAnswer: (v - 1)*(v + 1)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**4 + 129752*v**3 + 34612764*v**2 - 34742520*v = 0.\nAnswer: -32169, -270, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, h: 10}. What is prob of picking 3 h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/54*-3)\/((-12)\/(-84)*70\/540).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17111670 to the nearest integer?\nAnswer: 4137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.2 - -55. What is the nearest to 2\/5 in l, -4, 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3445 - 3445. Find g, given that 0*g + 4\/7*g**3 + 16\/7*g**2 + m = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16491602749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6821*z = 6831*z - 4*r + 78, 2*z = -3*r + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let o(i) = -2*i - t - 1 + 1. Calculate the remainder when 20 is divided by o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 - 1. Let x = -11623 + 11622. Let c(o) = -5*o**3 - 3*o**2 - 1. What is x*c(d) - 3*v(d)?\nAnswer: 2*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 1, r: 1, h: 1, d: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -230*w - 2200. Let f(s) = -s**2 + 4*s - 1. Let k(b) = -5*f(b) - y(b). Determine n, given that k(n) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55608096, 55608095, 55608094?\n\"Answer: -q + 55608097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21bea84 - 22?\nAnswer: 21bea62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15908.76059694 + -15911.4406. Let y = 2.68 + r. What is y rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 7*a + 284. Let c be s(14). Let r(b) = b + 7. Let x(m) be the third derivative of -2*m**3\/3 + 3*m**2. Determine c*x(d) - 6*r(d).\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 + -3 - (-29 - (157 + -76))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyw when three letters picked without replacement from nllylllylwllyll?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11363053 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 27702.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 10*l**3 - 224*l**2 - 135*l + 135*l.\nAnswer: -l**3 - 224*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3805950, 3805981, 3806012, 3806043, 3806074?\nAnswer: 3806105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 16 = -3*w. Let j = w + -4. Solve j*s + 14 = -2*l + 6, 4*s - l + 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-626360)\/(-55) - (-12)\/(-33). What is v rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -7*q**6\/180 + 17*q**4\/24 - q**3 + 12. Let y(n) be the third derivative of c(n). What is the first derivative of y(m) wrt m?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.798.\nAnswer: 3.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880695431.\nAnswer: 3, 17, 12292127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.6. Let l = -4.94 + -0.06. Let m = l - -6. What is the nearest to m in -2\/5, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -752 + 754. Solve -7 = -5*p - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - q + 14 = 0, 0*q - 4*q + 47 = 3*p. Suppose 2*i - 3*i + 5*a - 2 = 0, i = 4*a - 3. Let g = i + p. Solve -4*y + b - g = 0, -y - 11 = 2*y + 4*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 0*t + 3\/8*t**2 + 1 - t**3. Solve o(w) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/200 and -71\/30121312?\nAnswer: 753032800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:12 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 3*s - 2. Let p be o(-3). Let a = p + 1. What is the remainder when 31 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980983262?\nAnswer: 2, 7, 19, 383, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let m = 0 + 2. Let w be o(m). Suppose w + 1 = k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 2, e: 1, y: 7, h: 4, s: 2}. What is prob of picking 2 s, 1 h, and 1 o?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 513 = -143*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294.7 - 282. Let f = d - -4.3. Let g = f - 12. Put -2\/9, -1\/3, g in increasing order.\nAnswer: -1\/3, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -11. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1094, 4507, 10196, 18161, 28402, 40919, 55712?\n\"Answer: 1138*c**2 - c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 418955.49 nanoseconds?\nAnswer: 0.000000116376525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*p + 1104, 0*s - 1844 = -5*s - 4*p. Let h = s - 188. Let f = 283 - h. Calculate the greatest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6320531.2 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57407379?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1686, -2120, -2568, -3036, -3530, -4056?\nAnswer: -4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 - 9*m**5 - 3*m**5 + (1 - 1 + 2*m)*(m**4 - 1 + 1).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b2 - 4?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 + -2 + -14 + -55 + 50\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -62*x + 1409. Calculate k(30).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 - 1175*i - 3494. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*x - 8 = -233*x. What is the second derivative of 224*i**4 + 227*i**4 - 39*i - 450*i**4 - 42*i**x wrt i?\nAnswer: 12*i**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/((117\/(-66))\/((-2862)\/5247))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132552 is divided by 1921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 64. Suppose -3*d = -7*d - h. What are the prime factors of d\/14 + (-46)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338483 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7301 rounded to two decimal places?\nAnswer: 18.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 244022 (base 6) to base 9\nAnswer: 32575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3*o + 0*o**3 + 0*o**2 - 2\/3*o**4 + 0. Let r(n) = n**2. Determine t(r(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonpuae. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 7) to base 16\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0\/(7*12\/42) + 407 and 333?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 16*m - 14. Let v = -14 + 4. Is o(v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -4 - (-14 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 + 1)*(-4)\/(-8). Let x(l) = -l**2 + 8*l - 10. Let q be x(c). Let m be (-2)\/(((-25)\/q)\/(-5)). Solve 2 = m*d - 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/3)*k)\/k)**(3\/23)*(k*k\/((k\/k**(-19))\/k)*k*k)**(9\/4) assuming k is positive.\nAnswer: k**(-3073\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 210044 - 163?\nAnswer: 20dcc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88486\/27655 + 2\/5531. What is d in 16\/5*d**2 - 4\/5*d**3 + 0 - a*d = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 - 2*x**2 - 3*x**2)*(-x + 3 - 3)*(22 - 37 - 25).\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204969 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 43 - 43 + d + 6*d - 2*d + (-2 + 3 + 0)*(-d - d + 0*d) + d + 8*d + 6*d - 4 + 4 + 2*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z**26)\/z*z)*z)**(5\/8)\/((z*z\/(z*z**(2\/85))*z*z)\/z)**(3\/8) assuming z is positive.\nAnswer: z**(-1338\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-27)\/(-6))*2. Let o(c) = 3*c - 41*c**2 + 4 - 41*c**2 - 45*c**2 + 128*c**2. What is o(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 2.67. Let w = 6.0587 - 6.3587. Which is the nearest to -0.1? (a) -2\/11 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7277*v**5 + 70*v**2 - 39*v + 3 wrt v?\nAnswer: 436620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4413*b**2. Let h(v) = v. Give h(a(j)).\nAnswer: 4413*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, k: 2, u: 1, q: 7}. Give prob of sequence qq.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7749482 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 692796955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a27 (base 14) to base 12.\nAnswer: 5b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 3?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**3\/15 - 31178*r**2\/15 - 6073084*r\/3 + 7597202\/5.\nAnswer: -2*(r + 1949)**2*(4*r - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*2)\/(sqrt(24)*-6))**2 + (sqrt(52)\/(sqrt(2) - -2*sqrt(2)))\/((2*sqrt(10))\/sqrt(5)).\nAnswer: 13\/36 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22944390 by 109259.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 27*b + 66. Let p(w) = -3*w**2 - 27*w + 67. Let i(a) = 3*p(a) - 2*u(a). Let v be i(-29). Solve -4*z - o + v = 0, -z - 13 = -3*z - 3*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x - x)*(20353 + 10838 - 3 - 3405 + 4495 + 3370).\nAnswer: -142592*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115358889 - 201108889. Round c to the nearest 1000000.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4156*t - 11 + 1951*t + 11 - 1171*t.\nAnswer: 4936*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/299 and 95\/1104.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -88713\/4?\nAnswer: -88713\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = x - 11, -9 = -4*x + 4*h - h. Let p be x*2*5\/6. Let k = -1 + p. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332628952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 606*(6 + (-525)\/90).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 3350.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 94 + 84*m + 24 + 39.\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 82*k**2 + 48*k - 16. Is 61 a factor of p(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138028*x**2 + 69842160*x - 4048 = 0.\nAnswer: -506, 2\/34507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0723709 to three decimal places.\nAnswer: 2.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 0.4, -4, -63, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*a + 409*a - 38*a + 65*a.\nAnswer: 605*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.2. Let d = -0.704 + 0.7. Let z = 0.004 + d. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1007836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -702 + 9825\/14. Put 1\/5, -2\/7, q in descending order.\nAnswer: 1\/5, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 5*j. Let s(t) = 2*t**2 - 4*t. Let w(r) = 4*o(r) + 5*s(r). Let h(i) = 5*i**2. Calculate w(h(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 18. Let w be 7*(55\/44)\/((-1)\/z). Let a = -41 - w. Let m(b) = -b**2 - 6*b - 4. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - 1410*z + 194. Calculate x(0).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 3 = -8*v. Let j(p) = -18 + 11*p**2 + 63 + p**3 - 11*p - 29. What is the units digit of j(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + -1 - (6 - 3). Let m(l) = l**2 + l - 1. Is m(k) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 467 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 850\/200 - (-2)\/(-8). Suppose 4*x = 4*p, p + 7 = 2*x + r. Sort x, -5, -1, -4.\nAnswer: -5, -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(16)\/sqrt(2))\/sqrt(4)*-3 - (sqrt(120)\/(sqrt(6) + (sqrt(6) - -1*sqrt(6))))\/sqrt(10)).\nAnswer: -10*sqrt(2)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1098, 4, -5, 1, -3, 2 in decreasing order.\nAnswer: 1098, 4, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {k: 1, h: 2, t: 1, a: 2, l: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -10*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/2123 - 2113\/4246. Let z = 3 - 3.5. Which is the nearest to l? (a) 0.5 (b) z (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-24) + 5 + 115\/(-20)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) + sqrt(825)*-6 + sqrt(825))\/sqrt(11).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhfvffi. What is prob of sequence fvfi?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -90\/81881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50127 - 0.0546?\nAnswer: -0.55587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 22?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.28133 millilitres to litres.\nAnswer: 0.00228133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.404132 to 1 decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4391892?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-35))\/(1092\/(-1274)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-986)\/(-48)*-2 + (-9 - -10)*14\/168?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 228. Let l = w - -99. What is the closest to -2 in 5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + p - 2)*(-8 + 0 - 3) + p + 0*p + 3*p in the form d*p + m and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/3)\/((-8)\/(-20))*(-4)\/(-5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let a(y) = 6*y - 21. What is a(i(c))?\nAnswer: 12*c**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*38*29\/116*-2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2620 - 2616. Which is the nearest to 0.08? (a) k (b) 1\/12 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/10104 and -97\/10104?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4)*3*2. Let m(l) = 27*l**2 + 21*l - 170. Let j(k) = 7*k**2 + 5*k - 43. Let v(i) = -23*j(i) + 6*m(i). Does 29 divide v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:10 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:35 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*(9 - (-42)\/(-216)*42).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106981.8 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = -4*o, -t = 3*o + 3*t + 16. Suppose o = -a - 4*y + 43, a - y - 23 = -0. Let w = a + 3. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + 0.09. Let d = 6 + -5.9. Which is the nearest to d? (a) -1 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*d*f*g**2 - c*f**2*g**2 - 58463*c*f**2*g + 5*c*f*g**2 - 213*c*f*g + 29*c*g**2 + 5*d*f**2 + 27*d - 2*f*g**2 wrt f?\nAnswer: -2*c*g**2 - 116926*c*g + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -c - 8, 2*c - 4*r = 4. Suppose -2*d = -8*d + c. What is u in -15\/2*u**d + 6 - 12*u = 0?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*g**2 - 23*g**2 - 7*g + 10*g - 3*g**3 as h*g**3 + q*g**2 + y*g + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 3. Let d be t(5). Let m(k) = -k**d + 17 + 12250*k**3 + 2*k - 17. Let f be m(2). Round f to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8295 and 2222745?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -6. Let a(l) = -l**2 + 8*l - 6. Let z(u) = 15*u**2 + 33*u - 7. Calculate the remainder when z(-3) is divided by a(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2777469462 - 337.87.\nAnswer: -2777469799.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1529451 and -43\/463470.\nAnswer: 15294510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 + 2230698*u - 2230695 = 0. What is u?\nAnswer: 1, 743565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 8*z + 3. Let g be m(-6). Let k be 0*(2 - g\/10). Solve 3*t = 4*x + 2, 2*t + 4*x - 3 - 5 = k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/516 and 61\/688.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 133504114 less than 0.3?\nAnswer: -133504113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 209738303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162 bigger than 8859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(1 + 7 + 14) + 3 - 3 - 5)*(0 + 0 - h).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + v)*(-16*v**3 + v + 103 - 40*v**3 - 101 + (634 - 22*v - 634)*(-3*v**2 - 3*v**2 + 4*v**2)).\nAnswer: 12*v**4 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -405, -813, -1229, -1647, -2061, -2465, -2853, -3219?\n\"Answer: x**3 - 10*x**2 - 385*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 151 - 305 = 0. Are y and -24 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s + 5*s + 25 - 17 - 21*s - s**2. Give f(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 + 77*f - 8. List the prime factors of v(13).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7125, 7126, 7127, 7128, 7129?\nAnswer: 7130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 0.1, -313.855?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/4*i**3 - 1\/4*i**4 + 99*i - 5\/2*i**2 - 130.\nAnswer: -(i - 2)**2*(i + 5)*(i + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - m - 4*m = -1970, 2*m = -4*j + 1976. Calculate the remainder when j is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1075 + 2151 - 1076 + 3936*z**2 + 13570*z**2 as t*z**2 + d*z + s and give t.\nAnswer: 17506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 61, 43, 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.84 + 1.14. Let a = p - -6. Sort a, -0.3, -0.4 in decreasing order.\nAnswer: a, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474815 (base 11) to base 9\nAnswer: 1366825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v**5 - 40*v**4 + 30*v**2 + 30*v. Let d(k) = k**5 - k**4 + k**2 + k. Let x(u) = 30*d(u) - y(u). Factor x(t).\nAnswer: -5*t**4*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321898*q**2*w**2 + 5*q**2 - 2*q*w + 191276*q + 3*w**2 wrt w?\nAnswer: -643796*q**2*w - 2*q + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-8)\/208). Calculate the remainder when 0 + 80 - (-10 + s) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3784615 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*sqrt(3328))\/sqrt(4) - sqrt(156)\/(sqrt(12)*3*5)).\nAnswer: -361*sqrt(13)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 75. Suppose k = -3*o, -3*k + p*o + 12 = -0*o. Find the second derivative of -38*n + k*n**4 - 20*n**4 - n**4 wrt n.\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -873, -11, 4, 3 in increasing order.\nAnswer: -873, -11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**4 + 19*w**3 - w**2 - 31 wrt w.\nAnswer: 120*w + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 25*c + 50. Let w be u(23). List the prime factors of (w\/(-3) - -2)\/(16\/2880).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*g**4 - 57497*g**2 + 11*g + 1380007 wrt g.\nAnswer: 636*g**2 - 114994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66820.71 rounded to the nearest one hundred?\nAnswer: 66800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14*f = 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-51))\/(463\/(-926)*(-16)\/((-8)\/2))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16357 + 16370. Solve 13*c + 104 - u = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2 (c) 10.1 (d) 8 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492720 and 164240.\nAnswer: 492720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 52*b. Let m(x) = 6420*x + 4. Determine k(m(f)).\nAnswer: 247298400*f**2 - 25680*f - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (-76 + 0). Let y be 0\/(14\/35*-5). Let n be (10 - 6) + y + v. What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25628666 and 10918.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12872, -46161, -101640, -179303, -279144?\nAnswer: -401157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 476 = -2*x + 14*x + 36*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 189748 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -856374 in descending order.\nAnswer: 3, 0, -856374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6 + 14 + 10 - 8*k.\nAnswer: -8*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - g)*(4*g - 4*g - g)*(15*g - 187 + 187).\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 673*a - 1222*a - 48*a - 892*a to w + f*a and give f.\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 29223981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - f - 3 = 0, -443497*f + 14 = -443495*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/35 + (-2)\/5. Let v(j) = 2*j**2 + 2*j + 1. What is the units digit of v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -782 (b) -0.08 (c) -9 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 364 (base 7) to base 4\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/3)\/(-1 + 3). What is the closest to 0.1 in -0.4, 4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 104*w + 99*w + 10, -2*w = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 71966 - 52?\nAnswer: 71914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5151 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 9*w. Suppose -5*p - 49 = -0*p - 4*d, 0 = 3*p + d + 26. Let s be m(p). Solve z + s = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42e8 (base 16) to base 3\nAnswer: -212111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 21. Let q(r) = 11*r - 22. Give -5*q(s) + 6*t(s).\nAnswer: -19*s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.038, -5, -359, -3 in descending order.\nAnswer: 0.038, -3, -5, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 2*s**3 + 2*s**2 + (-35 + 256*s**2 + 35)*(s + 9*s - 3*s) + s**2 + 0*s**2 - 2*s**2 + 2*s**3.\nAnswer: 1796*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 3, u: 1, y: 1, r: 1}. What is prob of picking 1 r, 2 x, and 1 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -236, -5.\nAnswer: -236, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:33 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 115*c - 94*c. Solve c*s = -4*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*s = 179, 2*h + s - 232 = -2*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 2*h + 6*h + (3 + 0 - 1)*(-5*h - 7*h - 2*h).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23745\/2 - 11872. What is the biggest value in -3, 4\/5, w, -1.96?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h**2 - 108*h - 238. Calculate n(-7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/24 + i**2 + 229. Let x(q) = 83*q - 34*q + 45*q. Calculate z(x(f)).\nAnswer: 94*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49251, -98519, -147787, -197055?\nAnswer: -246323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-8 + -4 + 15 - 13) + -2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78433 divided by 81.\nAnswer: 78433\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 - 10\/1 - -225 is divided by 81?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 116.\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3088, 3085, 3082, 3079, 3076?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - t - 11*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 219358, 438721, 658084, 877447, 1096810?\n\"Answer: 219363*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:40 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) 0.5 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -30, 203, 388, 525, 614, 655?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-462)\/(-154)*(-1 - (-5)\/3). Suppose 0*k - 246 = -4*k + u*f, 0 = -5*k + 5*f + 305. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 4628410*r - 1071108956405 = 0 for r.\nAnswer: -462841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiwm when four letters picked without replacement from {f: 2, b: 2, m: 2, i: 3, w: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o = -21*o + 129 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6991.7882 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.919 + -2.71. Let p = l - 0.21027. Round p to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101611159 or -101611160?\nAnswer: -101611160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.65404 rounded to 0 dps?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*c**5 + 121*c wrt c.\nAnswer: 1160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.67 in 1\/5, 0, 1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*d**4 + 53262*d**3 - 3*d**2 - 814828*d - 1.\nAnswer: -1536*d + 319572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 + 713\/2. Find the common denominator of p and 1\/((-12)\/(-14)*126\/369).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1751*u + 1964. Let j(g) = -437*g + 492. Let y(h) = 51*j(h) - 12*l(h). Differentiate y(k) with respect to k.\nAnswer: -1275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12) + 122\/3. Suppose 1 = 2*f + t. Let j = 28 + f. Calculate the least common multiple of j and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765 and 28693773.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-85))\/((5\/((-20)\/6))\/(-5))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 11, a: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35708 and 16.\nAnswer: 142832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2163*d**2 - 47250 + 1711*d - d**4 + 58*d**2 + 160*d**2 - 59*d**3 - 14536*d + 640*d**2.\nAnswer: -(d + 14)*(d + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39688)\/(-440) + (-4)\/(-5). Find the first derivative of -60*b - 41 + m - 24 wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3357918?\nAnswer: 3357918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t - 9. Let q be z(-6). Let x(n) be the first derivative of n**2\/2 + 4*n + 1. Calculate x(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142557091?\nAnswer: 149, 956759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/18*2 - 138\/(-72). Let y be 17 + -22 + 57\/11. Which is the fourth smallest value? (a) y (b) u (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 10*b**2 - 12*b - 15. Let d be i(-11). List the prime factors of d + 5550\/35 + (-3)\/(-7).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 60. Suppose -q - 10 - 3 = 0. Let i = q + j. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 653\nAnswer: -1959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 + -127. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + 104. Suppose 4*x = -2*x + c. What is the smallest common multiple of x and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let h(w) = -w**2 + 236435*w. Determine h(o(g)).\nAnswer: -g**2 - 236435*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(8)*1) + sqrt(18))\/(((sqrt(90) - 1*sqrt(90)) + sqrt(90))\/sqrt(10))*6)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2941*r**4 + 2*r - 3 + r**2 - 2*r**2 + 0*r**2 - r**3 + 2926*r**4 to the form d*r**4 + t + j*r**2 + b*r + n*r**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -32) + (0 - 8) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 257196 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*j - 53*c**3 - 4*c**2*j + 587*c**2 + c wrt c?\nAnswer: -18*j - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 9*x - 2. Let y(m) = 3*m**2 + 9*m + 2. Let j(a) = 2*c(a) + 3*y(a). Calculate the remainder when 20 is divided by j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4090, 4157, 4334, 4675, 5234, 6065?\n\"Answer: 9*u**3 + u**2 + u + 4079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 + 498. What is the closest to 0.1 in -0.2, 1, j, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54243000 divided by 30996\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 25. Let z be k(11). Let n(o) = 5*o + 24. Calculate the remainder when n(z) is divided by (-3)\/4*-2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 4*f - 3*t = -t - 166, n = -f - 3*t - 45. Let y = f - -464\/11. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from {v: 15, w: 5}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266499114?\nAnswer: 2, 3, 7, 23, 109, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4092055*m**3 + 2*m**2 - 12*m + 89326 wrt m.\nAnswer: -24552330","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + a + 4*a + 1630 = 0, 2*d = -a + 628. Calculate the smallest common multiple of 34 and d.\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s + 142*s - 4 - 1 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2 = -5*y. Suppose y*j = 7 + 11. What are the prime factors of 1\/j + 7980\/108?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dad (base 14) in base 13?\nAnswer: 8953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*w**2 + 207*w**2 - 21*w**2 + 347*w**2.\nAnswer: 779*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - 2*sqrt(684))**2 + 4.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 - (-29)\/84*7.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*l + 6 + 329*l + 227*l.\nAnswer: -l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5656 is divided by 2806?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*z + 0*z - 2*z)*(z**2 - 3*z**2 - 3*z**2) - z**3 + 4*z**3 - z**3)*(2*z + 0 + 0)*(7 - 14 - 13).\nAnswer: 720*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 71 + 72 - 371 + 73 - 3*l**2 + 81.\nAnswer: -3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1257, -1265, -1279, -1299?\n\"Answer: -3*j**2 + j - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20410 (base 5) in base 13?\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**5\/z)\/z)\/(z\/z**(-2\/9)))**(-19) assuming z is positive.\nAnswer: z**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 - 1210*f**2 - 81703*f wrt f.\nAnswer: -12*f - 2420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1697 in -3171\/11, -3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1171*r**5 - r**4 - 46441*r**2?\nAnswer: 70260*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 11. What is the remainder when 12 is divided by r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 27\/2*y**3 + 786*y + 156 + 381*y**2 = 0.\nAnswer: -26, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) - 1 - -3. Suppose k*z = 6 - 2. Solve -10 = 4*f + m, -z = -3*f - 5*m - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*r - r - 5*b, 0 = 4*b - 4. Let a(l) = r - 1 + 2 - 3*l. Calculate the smallest common multiple of a(-3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 74768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7479, 14940, 22401?\n\"Answer: 7461*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 353, 706, 1057, 1406?\n\"Answer: -k**2 + 356*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.042 + -43.598. Let t = -65.65 - m. Let v = -21 - t. Which is the fourth smallest value? (a) -5 (b) 1 (c) 0.1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-660))\/(15\/25).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 29037880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 89 = -3*g, 0*x = -4*x + 5*g + 49. Let t = x + 54. Is ((-24)\/60)\/((-1)\/t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 3, l: 3, i: 7}. Give prob of picking 3 v and 1 x.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let n be v(2). Let m be (9\/4)\/(n\/12). Let t = 301953 + -301961. Is t equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 + 11 = 0. What is the least common multiple of 9 and u*(-3)\/15*15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 8*g - 96. Give k(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, n: 3, p: 5, d: 1, a: 1}. What is prob of sequence pdn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0238808169 and 16.\nAnswer: 15.9761191831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*p - 4 + 3.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -24*n - 96. Let i be z(-4). Is -3\/580 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 9:39 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*18\/(-69))\/((612\/(-18))\/(-17))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2203*x**2 + 5414*x.\nAnswer: 4406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(98) + 0 - sqrt(98)) + 3)**2*6 - (4*(2 + 1 + sqrt(98) - (-4 + -1*sqrt(98))))**2.\nAnswer: -7002 - 3136*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/5 + 199*b**4\/5 - 43*b**3 - 3023*b**2\/5 - 922*b - 400 = 0?\nAnswer: -200, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175005 is divided by 493.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -11. Let o(b) be the third derivative of -b**7\/5040 - b**6\/144 + 5*b**5\/12 - 44*b**2. Let i(p) be the third derivative of o(p). What is i(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(208)) + -2 + 2*sqrt(208) + sqrt(208))**2*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3766*d = 4*q + 3767*d - 26, -3*q + 5*d = 61 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 73*v + 1537. What is x(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-463*y - 1333 + 107 + 119 + 462*y).\nAnswer: -y - 1107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4\/4 + 1131*t**3\/2 + 1270065*t**2\/4 - 2576450*t = 0.\nAnswer: -1135, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 5*t - 18. What is the tens digit of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y**5\/5 + 3*y**4\/4 + 7*y**3\/6 + 13*y**2\/2 + 6281*y. Let m(c) = -7*c**3 - 8*c**2 - 6*c - 12. Calculate 6*f(i) + 7*m(i).\nAnswer: -i**3 - 2*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and 6717.63.\nAnswer: 6725.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 503865.95 to the nearest 100.\nAnswer: 503900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {r: 3, k: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/24 - z**3\/2 - 2*z**2. Let c be i(-3). What is the second derivative of -2*j + j + c*j**4 - 4*j**4 wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -4*n. Let l = 79 - 49. Suppose 3*g - l = 5*h, -3*h - 23 = -3*g + 1. Solve -g*c + 15 = -n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from optogootp. What is prob of sequence og?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 48. Let m = -15 + x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b**4 + 0*b**5 + 3\/2*b**6 + 0*b**3 - 31*b + b**2 - 59. What is the second derivative of t(o) wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let n be (-40)\/(-6) - (-2)\/(-3). Let c be n\/27 - 4\/18. Solve c = -4*z + 3*z + d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.16147 or 13080?\nAnswer: 1.16147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/9 (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(0*r - 4*r + 3*r) + 203*r + 120*r + 175*r + r - r - r.\nAnswer: 496*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*f + 33*f - 14*f)*(-3*f + 2 - 2)*(-f - 4*f + 3*f) to the form i*f**2 + z + a*f + t*f**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-2840))\/(8\/(640\/(-15)))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -5*l**8\/28 + l**4\/12 + 3*l + 6. Let w(i) be the first derivative of y(i). What is the third derivative of w(o) wrt o?\nAnswer: -1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 496 + -240. Let j = 255 - h. Let v = 1.7 - 2. Which is the second smallest value? (a) v (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468418.\nAnswer: 2, 7, 53, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (206\/(-8))\/1 + -4*(-504)\/(-896)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -262, -406, -550?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*d**2 - 96*d**2 + 166*d**2 + 195*d**2.\nAnswer: 390*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-35 + -9) - (5 - (-3 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -26*p + 186. What is c(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/6 - (-9)\/(-54). Let o be u - -1*(-16)\/(-4). Suppose -2*p = o*l + 5, -3*l = -4*p - 0*l + 35. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3 + p**2 + p - 4 + 4*p**2. Suppose 0 = 3*v, h - v - 3*v + 2 = 0. What is the remainder when 32 is divided by c(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let a be o(2). Factor 0*g**2 + 6*g + 0*g**2 - 6*g**a + 3 - 3*g**2.\nAnswer: -3*(g - 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2344, -4, 8 in descending order.\nAnswer: 8, -4\/7, -4, -2344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 21. Let u(v) = v - 1. Let d(j) = -f(j) + 5*u(j). Find the first derivative of d(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90680 + 1.4\nAnswer: -90678.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -133868, -133847, -133800, -133715, -133580?\n\"Answer: 2*l**3 + l**2 + 4*l - 133875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71455 - 2404?\nAnswer: 68051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m + 9*z + 62 = 33*m, -4*z + 98 - 24 = -5*m + 25 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 11*g = -5. Suppose 0 = -g*q - 9*q + 36162. Round q to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -21*h**4\/2 - 42*h**2 + 84*h - 4100. Let c(n) = -n + 1. Give -84*c(s) + f(s).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58331.536886 - 21751.726875. Let b = s - 36579.6. Let c = b - 0.21. What is c rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - 4) + 4\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-eight fifths of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(128) + sqrt(128)*2 - sqrt(128)) + (sqrt(128) - (-2*sqrt(128))**2)*-1 + -2.\nAnswer: -88*sqrt(2) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*s + s. Let a be ((-65)\/(-52))\/(s\/(-16)). Suppose -4*x + 3*v + 0*v + a = 0, -x + 5*v = 6. Let f(w) = -2*w + 4. Determine f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45457 + 1251*v + 22738 + 22719.\nAnswer: 1251*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - z - 4*z = -20, -2*p + 2*z - 8 = 0. Suppose p = -5*a + 32 + 8. Suppose -5*x - h + 428 = 0, 0 = a*x - 4*x + 2*h - 340. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) + ((-145557)\/42)\/((-11)\/22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10238 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -2. Suppose u*d = 1 + 11. Suppose 0 = d*b + 176 - 659. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*r = 35, -4*a + 15 = -2*a - 5*r. Let k(z) = z**3 + 4*z**2 + 2. What is k(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33839930?\nAnswer: 2, 5, 83, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85429\/742 + 806\/7. Are d and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/((776\/(-193))\/4 - -1). Let a be t*30\/(-9)*50. What is a rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/1080 + p**4\/72 - p**3\/2 - 2*p**2. Let b(r) be the first derivative of n(r). Suppose b(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2080 by 32.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.05 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116520 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5056, 4868, 4678, 4486?\nAnswer: 4292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 887.96 + -888. Which is the third smallest value? (a) w (b) -3 (c) 5 (d) -7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -522878 - -522887. Factor 47\/2*z**4 + 0*z + 0 - 5\/2*z**5 - m*z**3 + 0*z**2.\nAnswer: -z**3*(z - 9)*(5*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456123590646 less than -0.1?\nAnswer: -456123590646.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 19 = 0. Solve -b + 9*o - m = 4*o, -3*o + 17 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 116220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -4\/3, -1\/2, -62, 5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -223*l**3 + 4. Let o(v) = -88530*v**3 + 1589. What is -4*o(p) + 1589*w(p)?\nAnswer: -227*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p - 55. Let b be 3\/(9\/(-6)) - -3. Let k = p + b. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 7 - 12)*(f + 9*f + 5*f)*(2 - 2 - 1) to u + v*f and give v.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987298277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 17)*(-13)\/(-2). Let f = g + 146. Calculate the remainder when 31 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7*d + 18 = 7, -3 = -3*m - 3*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2570797 is divided by 285638.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:56 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 39*k**2 + k + 3. Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 20*c**2 + 51*c + 49. What is l(-17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004768087 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/225*(-140)\/(-175)*45\/24?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1630 divided by -5\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7 = -5*f + 6, j + 4*f - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v + 3*c = -4707, -4*c = v + 1554. Is (v\/(-6))\/(20\/180) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (105 - 105 - 7*y**2)*(-51 + 35 + 17 + 5*y) in the form j + z*y**2 + u*y**3 + p*y and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -30, 3, 0, 4.\nAnswer: -30, 0, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:25 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76683, 77076, 77455, 77814, 78147, 78448?\n\"Answer: -d**3 - d**2 + 403*d + 76282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 3 + 1 + 0. Solve g*m - m + 4*h = 8, -5*m + 4*h - 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/78988 and -97\/11593008.\nAnswer: 150709104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)\/(2*1). Let q be (3 - 3)\/(2\/c). Suppose q = -3*h + 5*z + 160, 0 = -5*h - 0*h + 5*z + 250. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 45?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1483, -5983, -13481, -23977, -37471, -53963, -73453?\n\"Answer: -1499*p**2 - 3*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 51*z + 1037. Does 58 divide j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22269*v + 623547. Calculate d(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1326 + 1676. Calculate the least common multiple of 630 and a.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14354 to the nearest 100.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/2520 - o**6\/135 - o**5\/40 - o**3\/3 + 3*o**2 + 267*o. Let v(u) be the second derivative of q(u). Factor v(p).\nAnswer: p*(p - 9)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139591*t**2*v**3 - 14877*v**3 + 2*v + 2 wrt t.\nAnswer: -279182*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -28, 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - -3.4000021. What is u rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let a be ((-2)\/(-4))\/(t\/(-4)). Let x(f) = 12*f + 2. Let o(h) = -6*h - 1. Let r(g) = 9*o(g) + 4*x(g). Calculate r(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453727 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13838251.\nAnswer: 7, 19, 104047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96.265 + 91.8. Let o = s - -33.035. Let w = o + -29. What is w rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*l**4 + 140202*l**3 + 522173*l**2.\nAnswer: -720*l + 841212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:44 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 5*l - 8. Let s(f) = 3*f**2 + 5*f + 9. Let t(j) = 5*q(j) + 4*s(j). Give t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 + 6058. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z**3 - 19*z**2 + 26*z + 13. Let p be u(21). Round p to the nearest 1000.\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654 = 2*k + 137*c, -20 + 60 = 3*c + 76 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 79295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -5, 0.1, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-53)\/212)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-1\/17)\/o)\/o*o*o**3)\/(o*o**7*o)**(-2\/3) assuming o is positive.\nAnswer: o**(152\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 4576?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 15. Calculate the smallest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + -2.1. Let o = l + 1. Let w = -0.1 + 0. Which is the third biggest value? (a) w (b) -2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 + 1 - (3 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1741 and -16.\nAnswer: 2.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -123, -128, -131, -132?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -145. What is the units digit of v\/6 + 4\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -373\/4 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1434*z**2 - 15*z + 83. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x + 5. Let n be p(4). Let i(r) = 36 + 4*r - 3*r - 32 + 2*r**2. Is i(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206*1\/(-26) - (-3 + -11 + 22).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u**2 + u - 1. Let j be 1*(4 - 1 - 29). Let r be j\/(-12) + 2\/(-12). Give f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 24*s - 21*s - g, 5*g = -8*s + 47. Let b(d) be the second derivative of 0 + 23\/2*d**2 - s*d**3 + 22*d. What is the first derivative of b(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 8025*m - 40200.\nAnswer: 3*(m - 2680)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 9*c + 1. Let n(x) = x**2 - 18*x - 3. Let o be n(19). Let j be o\/(-2) + (-1 - -4) + -2. Determine y(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -83*k. Let p be c(2). Let j = -162 - p. Solve 3*w - 2*n - 6 = -2, 12 = -w + j*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000709169 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/28 and -73\/46.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -619.5 + 480. Let s = -140 - z. Let n = 5.5 + -6.5. Which is the nearest to -0.2? (a) s (b) 0.7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(15\/2)*(d\/(d**17*d))\/d assuming d is positive.\nAnswer: d**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -3\/614, 4 in descending order.\nAnswer: 4, 1, -3\/614, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -757649*u**4 - 25*u**2 + 6860*u + 6.\nAnswer: -18183576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1490388, 1490388, 1490390, 1490394?\n\"Answer: x**2 - 3*x + 1490390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1. Let i(j) be the second derivative of -2*j**2 + 0 - 1\/6*j**3 - 2*j. Let x = 1 - 2. Determine x*i(s) - 3*c(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:16 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-975 + 964 - (0 + -24)) + 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 3 - 5*i + 4*i + 0 + i**3 + 2*i**2. Let c be v(-4). Find the second derivative of x**3 + 1 + 2*x**3 - c - x wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**5 + 3065575*d**4 + 23937*d - 408 wrt d.\nAnswer: -140*d**3 + 36786900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkejrjjjjszkz. Give prob of picking 3 k and 1 s.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14121627, -14121626, -14121625, -14121624?\nAnswer: -14121623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - -1) + 22 + -25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*p - 10*p - 22*p)*(0*p**3 + 0*p**3 + 2*p**3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-650)\/(-75))*(-6 - -2 - 5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6366 = 157*n + 3854 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -478.5 to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose -f*x - 13 = -22. Solve 16 = -4*q, d - x*q = 7 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:43 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 16*x = -5. Suppose 4*v - 20 = 3*w - 8*w, -v - 10 = 5*w. Suppose 0 = -q - 2*q + 15. Solve -p + 6 = -s, 4*s = x*s - q*p + v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.041 or -1.4?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 1.8. Let m = z + 0. Let p = 4.8 + -5. What is the nearest to -3 in 4, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = w - m + 13, -4*w - 3*m + 8 = 0. Calculate the remainder when 59 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/q**(-19))\/q*q*q)**(3\/11)*q**42*q\/q**(-2\/123)*q*q assuming q is positive.\nAnswer: q**(69394\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515766*b**2 - 687410*b**2 + 446369*b**2 - 9*b.\nAnswer: -756807*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8669113?\nAnswer: 8669113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 3 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15125 divided by 2551.\nAnswer: 15125\/2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 + 21064*d - 18662080\/3.\nAnswer: 4*(d - 290)*(d + 16088)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 1255994828*x**3 - 1255994775*x**3 + 0*x.\nAnswer: 53*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/62 and 49\/713.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -4\/3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(2\/7)\/(y**0*y**0) assuming y is positive.\nAnswer: y**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddadaddd.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -2202538.\nAnswer: 81\/2202538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*i**3 + 3 - 4*i - 2*i**3 + 4*i + (i - 2*i + 3*i)*(-i**2 + i**2 - 2*i**2) - 732*i**3 - 71*i**3 + 11*i**3 to h*i + j*i**3 + c*i**2 + n and give j.\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:03 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (308\/(-110))\/(-3*(-9)\/(-135)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14710793 and 1221.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213221232 - 211310?\nAnswer: 213003322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.8 - 15.8. What is the nearest to j in -2, -2\/3, -4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -259*h**3 - 7*h - 3 + 258*h**3 - 9*h**2 - h. Let b = -66 - -94. Suppose c = -4*x + 2*c - b, -2*c = -x. Give q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1816100 and 2146300.\nAnswer: 23609300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 21. Give k(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31793\/13140 - -20\/657. Calculate the common denominator of a and 39\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.09 - -54. Let x = 31.19 + -31. Let j = l + x. Is 4\/7 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2581*w**2 + 17*w - 19. Let v(q) = -q - 3. Let k be v(-4). Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*c - 1 = -5*c, -4*k + 5*c - 21 = 0. Let t be k\/(8\/(-134)) + 2. Suppose -4*f + t = -f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/q*q**(-10))**(-2\/77) assuming q is positive.\nAnswer: q**(4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358411 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 - -0.16. Let d = m - -0.03. Let i = -0.12 + d. Which is the second smallest value? (a) 5 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**3 + 5\/2*g**2 + 0*g**4 + 0 + g + 1\/4*g**5. Find the first derivative of h(v) wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + -3 + -1 + 2. Suppose 5*l = -3*w - w - 23, j = -4*l - w. Let s be 2\/l*(-3)\/(-2). Is s <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 + 3 = 3*p, -p = j - 5. What is the closest to j in 1\/2, -4, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44 = w + w, w - 104 = -3*l. Suppose l = -0*t + 3*t. Suppose -q + 3*q - t = 0. Calculate the smallest common multiple of q and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2\/(-2) - -3). Suppose -z - 18 = -2*a, 3*z + n*z = a - 29. Let j = z - -14. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*s**2 + 21073*s**3 - 82*s**2 - 20900*s**3 wrt s?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 4*i**2 + 14*i**4 - i**2 + (2*i**4 + 0*i**4 - 4*i**4)*(2 + 2 - 5) + (-i**2 + 2*i**2 + i**2)*(3*i**2 - 4*i**2 + 0*i**2)*(4 + 8 - 2).\nAnswer: -4*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/((-1)\/4). Let u(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 3*z**2\/2 - 13*z. What are the prime factors of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 8 - 8)*(4 - 3 + 4 + (2 + 2 - 5)*(1 + 2 - 2) - 4 + 1 + 2) + (-5 + 4 + 0)*(-f**3 - f**2 + f**2).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2704 and 91?\nAnswer: 18928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67111 or -2\/21?\nAnswer: 67111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 67*m + 69*m + 38 - 16 - 94*m + 2*m**2 to the form g*m**3 + n + t*m**2 + u*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*r**3 - 20597*r - 132726 wrt r?\nAnswer: 24*r**2 - 20597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 29 (b) -5 (c) -2.7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-12)*v\/v**(-8))**(-1\/7) assuming v is positive.\nAnswer: v**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 124224\/5, 5, -0.4 in descending order.\nAnswer: 124224\/5, 5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9931785 divided by -10645.\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19167, 76676, 172525, 306714, 479243?\n\"Answer: 19170*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrrsrrssrrrsr. What is prob of sequence ss?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59429211.\nAnswer: 3, 19809737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((34\/(-68))\/(2\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*i**6 + 88*i**4 - 246 + 4*i**6 + 161*i**2 + 139*i**4 - 159*i**2 + 29 wrt i?\nAnswer: 480*i**3 + 5448*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66.7 and 5?\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 5913*m**2 - 2612457*m + 333768147.\nAnswer: -3*(m - 1409)*(m - 281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*r + 10 = 2, 2*a + r = -11. Let l = a - -20. What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsstts. What is prob of picking 1 t and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50455.\nAnswer: 5, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8024586l in millilitres?\nAnswer: 802.4586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:01 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**2 + 7*n*o + 348*o - 1 wrt n?\nAnswer: -10*n + 7*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -115. Suppose g = -5*f + 2*b, 4*f + 49 = -5*b + 4*b. Let m be ((-4)\/3)\/(8\/f). Solve 10 = 3*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b - 2*b + 2 + 5*b + (2*b - 3*b - b)*(6 + 0 - 4).\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + r**2 + 6*r**2)*(-2*r + 0*r + 4*r)*(4 - 4 + 1)*(515*r**2 + 480*r**2 - 264*r**2).\nAnswer: 4386*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631486140 + -9?\nAnswer: 6631486131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 9, n: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 7*v. Let m be q(-5). Let c be 1*m - 0\/(-1). Let o = 35 - c. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10549 - -9523. Are w and -1022 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 52 + 8 = -43*p, 4*j + p + 14 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 28, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d + 2*d)*(7*d**3 - d**2 + d**2) + (-2*d**2 - 2*d**2 + 3*d**2)*(-132 - 128*d**3 + 132) - 11*d**2 + 11*d**2 + d**5 - 1.\nAnswer: 143*d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135 + 24 - 38 + v)*(-2*v + 0 + 0) to r + b*v**2 + i*v and give i.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 4224*b**2 + 1616439*b + 89147718.\nAnswer: 3*(b + 66)*(b + 671)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8650 and 5411150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -2, 35824, -19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 80. Let m be v(-29). Let l(y) = -y**3 - 5*y**2 + 7*y - 45. Let h be l(m). Solve -h = 6*r + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25982 times 91\nAnswer: -2364362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b**2 + 2*b - 2. Let s(q) = -15*q**2 + 3*q - 3. Determine -4*g(w) + 3*s(w).\nAnswer: 11*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 569548153 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - -6 - 9) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39555*a**4 + 102*a**3 + a**2 - 4*a + 580628 wrt a.\nAnswer: 474660*a**2 + 612*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-12 + 2 - (-21 - -3) - 15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -518*c**3 + 18*c**2 + 35*c - 10. What is the ten thousands digit of z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 14*t**2 - 2*t + 4. Let b be q(14). Find the common denominator of ((-747)\/b)\/(-3 + 15\/4) and 51\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 1, r: 2, i: 3, x: 7, y: 3}. Give prob of sequence iyxp.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2698 divided by 121\nAnswer: -2698\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26644868, 53289739, 79934610, 106579481, 133224352?\nAnswer: 159869223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 3. What is the remainder when t(-2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/6*(-21)\/49?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 10*s + 9. Let x be w(-9). Suppose x*i - i - 4 = 0. Let l = 531.7 - 532. Which is the smallest value? (a) l (b) 1 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 30 = 4*u, -2*u - 25 = 3*i - 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -10 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 294 (c) 0.34 (d) -0.4 (e) 0.01 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -804*n**5 + 3*n**3 - 36478*n wrt n.\nAnswer: -16080*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03509017 rounded to 5 decimal places?\nAnswer: 0.03509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -72. What is the hundreds digit of (-9)\/3 - o*25\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 55.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 + 101870*z**4\/3 + 407468*z**3\/3 + 407464*z**2\/3.\nAnswer: z**2*(z + 2)**2*(z + 101866)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149598.9kg in milligrams?\nAnswer: 149598900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**4 - 3*b - b**4 - 2*b**4 + b**4 + b**4 - b**4 + (-1 + 8 - 3)*(2*b**4 + 5 - 5) + 0*b - b**4 + 0*b to z*b**2 + j*b**3 + n*b + x*b**4 + c and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19 - 3 - i**2 - 5 + 11*i + 2. Let q be d(7). Solve -5*z = -2*t - 5, -q*t - 7 = -4*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -113, -17, 185, 529?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 29b798?\nAnswer: -29b7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajohojoohjooohjjhh. Give prob of sequence aoh.\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60288)\/(-1431840) + (-22602)\/(-190).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -576303 (base 8) to base 6.\nAnswer: -4110215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150938721 to the power of 1\/2, to the nearest integer?\nAnswer: 12286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 11*v - 11. Let c(o) = 10 - o - 10*o + 12 + 3*o**2 - 9*o - 4*o. Let j(d) = 2*c(d) + 5*n(d). Give j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1\/x)\/x)**(1\/5))**(-20) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -109*t**2 + 12985. Let b(g) = 27*g. Give v(b(n)).\nAnswer: -5886*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-107)\/1498)\/(12\/8).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 3. Let b be g(2). Suppose -b*t - 1810 = -q, -3560 = -2*q - 0*q - 2*t. Let o = 14345\/8 - q. Calculate the common denominator of -8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-276 - (2 - -2)). Suppose 34*a = 35*a - f. Suppose r - 38 = -4*m, 0*r + 5*r + 2*m - a = 0. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1304 = -2*s, -6511 = -7*x + 2*x + s. What are the prime factors of x?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -14. Let j(x) = 2*x**2 + 14*x + 7. Let u be j(w). Let n be (-17)\/(-5) - (-2)\/u. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28433 + -0.3\nAnswer: -0.58433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*l**3 + 3*j**2*l**2 - j**2*l*t**2 - j*l**3 + j*l**2*t - 17*l**3*t**2 wrt t?\nAnswer: -2*j**2*l - 34*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55545 divided by 161.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 12*d**2 + 12*d + 15. Determine p(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 67*z. Let i(g) = -2*g**2. Give i(a(b)).\nAnswer: -8978*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 35. Let r be f(-13). Let d(q) = -17*q - 18. Calculate the remainder when 248 is divided by d(r).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1097 - -0.0297. Let n = -18 + 13. What is the nearest to 0.1 in 5, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsrqrrrsrrrrr. Give prob of picking 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 55*v**2 - 26*v - 124. What are the prime factors of k(-9)?\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((4\/7)\/((-490)\/2401)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189*h - 540*h - 517*h = -6072 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1727 - 7426*v + 3716*v + 3712*v to y*v + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/55437 - 29287\/1718547. Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f - 48 = 3*f - 248 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -1 + 0*z - 1\/40*z**6 + 3\/4*z**4 + 1\/20*z**5 + 0*z**3 - 39*z**2. What is s in k(s) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(55) + (sqrt(55) - sqrt(55)*-1)*5))\/sqrt(5) - (sqrt(704)*-4 + 0).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.1 + -4. Let d = 9 + -13. Let w = -1 - d. What is the second biggest value in w, b, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 11*q + 11*q)*(-4398 + 2200 - 17*q + 2195).\nAnswer: 34*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24515 - -43013?\nAnswer: 14054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/7, 2\/9, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:58 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1583 + 691?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91668535*k**5 - 353672505*k wrt k?\nAnswer: 1833370700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -2*sqrt(245)*2*-1)**2 + 1.\nAnswer: -11759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 3. Let u(f) = -6 - 3*f + 13 - 2 - 2. Calculate 4*j(n) + 5*u(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/36 - 2*n**4\/3 + 40*n. Let b(c) be the third derivative of s(c). Let f(u) = -2*u**2. Calculate f(b(m)).\nAnswer: -800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/60 + 7*d**4\/6 - 30*d**3 + 386*d**2 - 2. Solve f(l) = 0 for l.\nAnswer: 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from -109.87.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 + 2 + -2. Let k be 262\/(3 + 1 - n). Suppose 0 = -4*j - 3*z + k, 7*j - 3*j + z - 129 = 0. Calculate the remainder when j is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.8 - -2.4. Let n = d - -0.4. What is the third biggest value in 2, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3))**(-13)*((x\/(x\/x**(2\/7))*x)\/x)**(-39)*(x**(2\/3))**(-13)*(x\/((x\/(x*x*x**(1\/2)*x))\/x))**(-1\/17) assuming x is positive.\nAnswer: x**(-20521\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 392 + 472. What is the least common multiple of j and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.8936 millilitres to litres.\nAnswer: 0.1088936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 196, 194, 192?\n\"Answer: -2*p + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)*-3)\/(1*-2*sqrt(7) - sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.0691 - -0.0309. Let i = 4.695 - 0.095. Let q = i + o. Round q to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 13) to base 14\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-748200)\/(-27550) - (1 - (0 - 15)) - (10 + 1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*z + 13743 = 7*z + 10212 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iill when four letters picked without replacement from iiliilillili.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 - j**2)*(-1 - 6 + 1)*(11 - 2 + 4).\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4257*z**2 + 5*z + 193?\nAnswer: -8514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 3. Determine i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -7*i**6\/120 + 3*i**5\/10 + i**4\/8 + 131*i**3\/3 - 5*i**2 - 15*i. What is the second derivative of p(n) wrt n?\nAnswer: -42*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.025, 1, -19.2 in decreasing order.\nAnswer: 1, 0.025, -6, -19.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4781104.\nAnswer: 2, 298819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.378677669 + 86.378680769. Let l = x + -85. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.4285193 + 28.43. What is f rounded to 5 dps?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6227277 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24166, -48108, -71820, -95302, -118554, -141576?\nAnswer: -164368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 - 529509*m**3 - 4*m**2 + 23*m + 14536 wrt m.\nAnswer: 24*m**2 - 3177054*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + -2 - -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:51 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*i = 49, -5*a + 21 + 39 = -4*i. Suppose 0 = -5*w - 4*j + 135, 5*w - 476 = 4*j - 381. Solve -5*g + a = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/23))**(2\/3)\/((h*(h\/(h\/(h\/(((h**(-6\/13)*h*h)\/h*h)\/h))))\/h)\/(h\/(h*h**(4\/7)\/h)*h)) assuming h is positive.\nAnswer: h**(10622\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/4)\/((-18)\/(-18))*80\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aarrarraarrraaaa. What is prob of sequence arar?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0321 - 3.0321. Let z = -0.2 - -0.2. What is the nearest to -0.1 in z, 1, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let l(o) = -o. Let t(u) = -b(u) + l(u). Suppose 3*k - 2*q - 14 = 0, -3*k = -q - 12 + 2. Let a(p) = -29 + 29 - 2*p**k. Calculate t(a(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3425 (base 15) to base 3.\nAnswer: -120011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 119. Solve 2*h + 5*d = -0*d + 28, 2*h = 3*d - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*i**2 - 2*i**4 - 38*i**3 - 36*i**2 + 80*i**2 + (-3*i + 0*i - 5*i)*(i**3 - 7*i**3 - i**3).\nAnswer: 54*i**4 - 38*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5696*i + 2855*i - 528143 + 100593 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g. Let o(n) = n**3 - 7*n**2 - 24*n + 15. Let r be o(9). Let j = r - -40. Calculate a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110 (base 5) to base 9.\nAnswer: -28551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -0.03, -2\/27, 9\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(99)\/sqrt(3)*1)\/(sqrt(3) + -2*sqrt(27) - sqrt(15)\/(sqrt(20)\/sqrt(4))).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 2*c - 20 = 0, -2*y + 3*c = 40. Let r(g) = -6*g**2 - 5*g. Let x(b) = -b**2 - b. Determine y*x(d) + 4*r(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-24) - (-2)\/8. Let t = 308\/3 - 104. Which is the biggest value? (a) f (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 1 - (-59 + 51)) + -33.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -726, -27, 300.\nAnswer: -726, -27, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402093.4 meters to micrometers.\nAnswer: 402093400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**3 + 0 - 1\/11*w**2 - 1\/165*w**6 + 3*w + 0*w**5 + 1\/33*w**4. Find b such that u(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 + 3*c + 2. Let n = -13 - -16. Let m be q(n). Solve 3*y = -m*i - 15, 4*i = 6*i + 5*y + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/150 + 63*n**5\/50 - 3841*n**4\/60 - 1344*n**3\/5 - 2048*n**2\/5 - 5*n. Factor f(b).\nAnswer: -(b - 64)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -32.326 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65153 = -819*k + 2909 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g**2 - 3*g + (-g + 3*g - 4*g)*(-2*g + 0*g + 0*g))*(3 - 3 + 2*g)*(824 - 745 + 1963).\nAnswer: 24504*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t - 4*g + 19, 5*t - 3*g = -91. Let w(b) = 3*b + 58. Let a be w(t). Is a less than or equal to -9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/379 + 427\/2274. Let x(b) be the second derivative of 1\/6*b**4 - l*b**3 + 0 - b**2 + 5*b. Calculate x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7 = 9, -4*y = -s - 13. Suppose -5*v + 4*g + 18 = 0, g + 0*g - 15 = -2*v. Find the second derivative of s*q - q**4 + v*q**4 - q**4 - q**4 wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from alpbpmmrrbrm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 57 + 40. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 + 13*k - 1. Is o(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0472 - -0.0528. Which is the closest to d? (a) 4 (b) -1\/4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 2*v + (4*v - 4*v + 2*v)*(-3 - 4 + 5))*(1 + 2 - 2).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/79, -1, 0.1 in ascending order.\nAnswer: -1, -2\/79, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, and 1 s when three letters picked without replacement from {s: 1, o: 1, v: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 157*a**2 + 74*a - 314. Determine u(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498426 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) - (-1)\/5. Suppose 2*j - 75 = -3*j. Let f be (-10)\/j + 32\/30. Which is the second biggest value? (a) y (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + -3.3. Sort w, -1, 4.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 4*v**3 - 5*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {j: 11, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3 - 10*j**2 - 8*j**2 + 4*j**2 + 6 - 3*j**2 + 0*j**4 + 24*j**4 wrt j.\nAnswer: 576*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31462 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 174 - 6*d**2 - 167 - d + 5*d**3 + d**2 - 4*d. Let b(k) = 5*k**3 - 6*k**2 - 6*k + 8. What is -5*b(l) + 6*r(l)?\nAnswer: 5*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/68732 > 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -138432840 divided by -1?\nAnswer: 138432840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1945 and 19296345?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 44 = -28. Calculate the lowest common multiple of f and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3926 by 475.\nAnswer: -3926\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/8? (a) 5 (b) 2 (c) -1.9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.329 - -0.729. What is the biggest value in i, -2, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 407576, 1629951, 3667246, 6519467, 10186620?\n\"Answer: s**3 + 407454*s**2 + 6*s + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:21 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -912 - -913. Let j be (-6 - -8)\/(2\/x). Let w be ((-4)\/42)\/((-13)\/3). Are w and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Suppose z = -3*z + 8. Let q(m) = -m + 3*m - 2*m + 3*m**z. Calculate q(s(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 278 = -2*w, v - 2*v + 155 = -5*w. What is v rounded to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - sqrt(170)*1)*-6 - (sqrt(170) + (-1*sqrt(170) + sqrt(170) - sqrt(170)))*2)*1)\/(3*(sqrt(360) - (sqrt(360) - 1*sqrt(360)*6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 - 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, -14, 148 in descending order.\nAnswer: 188, 148, -14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 306083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(716*a**4 - 2843*a**4 - 1945*a**4 + 1256*a**4 - 4890*a**4).\nAnswer: -15412*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/432 + l**5\/18 - 5*l**4\/9 - 23*l**3\/6 - 35*l. Let g(x) be the second derivative of v(x). Determine h so that g(h) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 12) in base 11?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8\/3)*29939\/(-9776)*(-12)\/21\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {u: 3, v: 6, q: 2, b: 2, y: 1, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23987 is divided by 23984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6 and -65\/99536.\nAnswer: 298608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Suppose 20 = 2*y - 4*n + 2, 5*y - 3*n = 24. Let g = r + y. Calculate the highest common factor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 62, 79?\n\"Answer: 17*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*u = -362 - 325, 0 = 5*i - 4*u - 663. Calculate the lowest common multiple of i and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.65448 to 3 decimal places.\nAnswer: 2.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286531608.\nAnswer: 2, 160816451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and -45\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caccaaxaxaxaac. What is prob of sequence ac?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.03 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 10) to base 14\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*d**2 + 2556*d**2 + 25*d**2.\nAnswer: 1764*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -15.3. Let h = 19.3 - x. Let t = h - 21.82. Round t to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, e: 1, y: 5}. Give prob of sequence dyye.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 2*k - 10. Let o be t(-3). Suppose 328*p = 324*p + o. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39519000 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1\/(1\/(1\/1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7275 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3*d - 10. Let k be u(6). Let n(h) = h**3 - 5*h**2 - 23*h - 6. Let t be n(k). Solve -2*r - t = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17617?\nAnswer: 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/8)\/(r*r*r*r**(6\/5)\/r*r)*(r**(1\/6))**40 assuming r is positive.\nAnswer: r**(221\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117783*m**3*s + 1447*m**2*s wrt m.\nAnswer: 706698*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:07 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11571 + -11569. Solve 0 = -u - 42*j + 46*j - 20, -2*u = i*j - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 15*a**2 + 10*a - 16. Let h be p(8). Solve -18*l + 17*l - 2 = h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**16\/(s\/(s\/((s\/s**(1\/9))\/s))) assuming s is positive.\nAnswer: s**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*c = -900*c - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 74. What is the greatest common factor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.858574 and -162.\nAnswer: -139.088988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 - 3*y**2 + 6*y - 6. Let t(r) = 0*r + 2*r - r - 1 - r**3. Let w = -118 - -117. Determine w*k(z) + 6*t(z).\nAnswer: 2*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + -505381?\nAnswer: -505437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6042.498 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2 - 11766*r + 7223760 = 0.\nAnswer: 762, 3160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753010774?\nAnswer: 2, 3, 29, 1757989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20316758 is divided by 1435.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccwp. Give prob of sequence cwp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824, -1772, -2718, -3662, -4604, -5544?\nAnswer: -6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/253 and -23\/13926.\nAnswer: 320298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -26*g + 1. Let q(x) = -5*x. Let v(t) = 2*m(t) - 11*q(t). Let h(y) = 7*y + 5. What is 2*h(n) - 5*v(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*l + 47 = -k, -4*k - 5*l = -121. Which is bigger: 23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndddndddnddndddddndc. What is prob of picking 2 d and 1 n?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 6. What is the units digit of j(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/295)\/((-5)\/((-35)\/(-4)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, v: 3, y: 1, o: 5, f: 1}. What is prob of picking 1 x and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 + 3*s + 7. Let m(g) = -g + 11. Let h be m(8). Let d = h - 9. What is the units digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/(r\/r**(-1\/10)))**(-3\/47))**(-6) assuming r is positive.\nAnswer: r**(-9\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842484 is divided by 842483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/29, 2\/23, 0.04, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1\/(((-16)\/528)\/(8\/24))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose -r = -2*s - s, 0 = -3*s - i*r + 15. Solve -d - s = -3*f, f + 13 = 3*d - 6*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/4)\/(-1)*-56. Let t be (12\/(-9))\/((-4)\/g). Suppose 3 = -k + t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-44) - 26\/(-22). Let s(u) = -11*u + 6. Let y be s(x). Let c(t) be the first derivative of -t**2 - 6*t - 1. Give c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 378*z + 1. Let m(h) = 15*h - 1. Give 3*m(k) + u(k).\nAnswer: 423*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1528*b + 405 = 1483*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 13*q + 64. Let y be u(-17). Let z be ((-175)\/70)\/((-2)\/y). Let p(o) = o - 3. Give p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/12)\/((-1)\/43). Let m = 41\/3 + l. What is the third biggest value in m, 10, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p**2 - 1019*p - 269. Give n(64).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 + 4*k - 5. Let q(v) = 3*v - 8*v**3 + 9*v**3 - 4 + 0*v**3 - 4*v**2. What is 4*m(c) - 5*q(c)?\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 415 + -407. Solve -2*g + r*g = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316403291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -1036?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 22\/4) + 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 6*z - 9*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 66. Let y(i) = -i**3 + 17*i**2 + i - 14. Let d be y(c). Solve 6*o + z - 8 = 3*o, d*o + 12 = 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q + 3*w - 4*w, 0 = 2*q + 2*w - 10. Suppose l - 3*l = -4*u + 4, u + 3*l - 1 = 0. Sort -2, u, -4, q in decreasing order.\nAnswer: q, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*(-42)\/819*(-3)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 + 2*v - 2*v)*(1 + 0 - 4) + 4185*v**3 + 3113*v**3 - 8680*v**3 - 4 + 2*v**3 + 4 to the form k*v**3 + a*v**2 + n*v + z and give k.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = 4*r - 1134. Suppose -2*i = h - 79, -2*h - 154 - 66 = -5*i. What is the greatest common divisor of i and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 630 - 210 = 0. Suppose 3*f - 10 = v, v + 5*f + 16 = -2*v. Let a be (v - 1)\/(22\/(-154)). Calculate the greatest common divisor of a and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-387)\/54 + 1\/6 + (-1225)\/(-210). Which is the closest to 2\/5? (a) 0 (b) 1\/2 (c) m (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 + 426*t**2 - 2*t + 2. Let r(v) = 16*v**3 - 2128*v**2 + 11*v - 11. Calculate 11*n(x) + 2*r(x).\nAnswer: -x**3 + 430*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/2? (a) 449 (b) -13 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301424.\nAnswer: 2, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146\/(-6) + (42 - 21)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051139 rounded to three decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 10*h - 4. Let p be o(10). Let z be (p\/2 - -4)*(-1)\/11. Which is the fourth smallest value? (a) 5 (b) -3 (c) z (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 75846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 180648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 73728.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 1 (c) 0.05 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 - p + 2. Let q be l(1). Suppose -q*b - 12 = -12*b. Suppose n - b*n = 0. Solve n = -5*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926.337211 rounded to the nearest 10?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 272*i - 273*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 134, 0.1, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(4 - -2) + (0 - 41). Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -375430767392 and 0.2?\nAnswer: 375430767392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5902 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/24 + -3\/8. Let j = -0.4 + 0.5. Let s = 2.97 - -0.03. Sort j, s, m.\nAnswer: j, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76086.\nAnswer: 2, 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 124\/24*(-6)\/(-26). Let t = -659\/13 + m. Let y = -10\/21 + 141\/7. What is the common denominator of y and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f + 1\/4*f**4 + 1\/2*f**3 + 0 + 1\/2*f**2. What is the units digit of n(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 967922\/45 - 21565. Let l = -277\/5 - z. Suppose -4*w = 4*f, -w + f - 6*f = 20. What is the biggest value in 3, l, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:59 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + f + 65, -2*v + 2*f + 34 = 0. Suppose 2*j - 4*s = v, -j = 4*j + 5*s. Solve -j*a - 5 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*-3615\nAnswer: -65070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 264533?\nAnswer: 264540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 11*p - 100. What is the hundreds digit of 2\/p - (-28217)\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) 7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 - 8*m - 20. List the prime factors of p(-6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from uuoogooguuugoguugouo.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 2 + (-226)\/24 and (-454)\/(-60) - 22\/33?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24772635 + 24772639.6999979. Let r = 28.7 - 24. Let a = r - t. What is a rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -806696?\nAnswer: 8066a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -5\/2 (b) -2 (c) -1\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -3*l + v, 0*l - v = 3*l - 267. Let n = -53 - -12. Calculate the remainder when l is divided by (-15 - n)\/(1*(-2)\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-144)\/(-21)*(-378)\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, -9, 5, -2 in ascending order.\nAnswer: -9, -2, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(539) + sqrt(539) + -4)**2 + -5 + (1 + sqrt(539) + -4 + sqrt(539) + -5)**2.\nAnswer: -336*sqrt(11) + 4383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 54. Calculate the remainder when (-12)\/l*48\/1 is divided by (1*8\/16)\/(2\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -409?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1157 + 61602. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 8, 5, 2, 29 in increasing order.\nAnswer: -2, -1, 2, 5, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*i**3 + 117*f**2 - 6*f*i**2 - i**4 - 13 wrt i.\nAnswer: -3*f**2*i**2 - 12*f*i - 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173565826, 347131651, 520697476, 694263301, 867829126?\nAnswer: 1041394951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 12. Let a = b + 0. Let x(m) = m**3 - 5*m**2 - 5*m - 5. Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 + 3. Let k(p) = p + 25. Let z be k(-33). Let l be (6\/(-120)*z)\/(g\/400). What is the greatest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -9.409?\nAnswer: -103.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134 + 13?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76 - -e?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799355522.\nAnswer: 2, 7, 31, 263119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -13. Let o = s - -99. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/5 (b) -22 (c) -2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036612 to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*b + 13*b - 245 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -21*d + 6*s + 219, -2*d + 13*s - 72 = 15*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. Let n = 0 - 0.3. Put -0.1, k, n in decreasing order.\nAnswer: k, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3*d + 69, -u + 2*d - 4278 = -4264 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/8*12 + (-32)\/8. Solve -5*z + v = -12, -3*v = 3*z - c*v - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 28 = -0*x - 4*r, r - 9 = -3*x. Let z(d) = 2*d + 1 + 3*d - x*d. Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -2.7. Let q be 20\/(-24)*(-4)\/(-15). Let v = 55\/34 + -2\/17. Put v, m, q in ascending order.\nAnswer: q, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdz when three letters picked without replacement from dzddzd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293.14 - -286. Let m = -0.14 - x. Let h = m + -7.2. Which is smaller: h or 12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 571 = d, 3*t - 3*d + d = -1718. Let r = 1302 + t. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/434 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*m - 3*m. Suppose -m*w = n - 6, -12 = 2*n + 3*n - 4*w. Suppose 0 = h + 2*l + 2*l - 30, 2*l = n. What is the highest common divisor of h and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3378?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j\/(j**(-17)*j)*j))\/j)**(-44)*(j\/(j\/(j\/(j**(-8)\/j))))**(-3\/19) assuming j is positive.\nAnswer: j**(15854\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-3)\/16 - 71\/(-4). Solve 28*r = -11 - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1510324 minus -15?\nAnswer: 43.1510324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -4*i - 1, -5*i + a = -12. Suppose -i*g + 858 + 5140 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.023, 3, 0.06, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 4, -1\/3, 3\/2, 2 in descending order.\nAnswer: 4, 2, 3\/2, 4\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -656, -1315, -1974?\nAnswer: -2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*q + 7, 5*k = -2*q + 3 + 22. Suppose -4*t - 21 = -k*l + 16, 4*l = 4*t + 44. Let w(g) = 5*g + 9. What is the tens digit of w(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**3 + w**2. Let b be s(-1). Let f(c) = 2*c + 10. What is the remainder when f(b) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116559.\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10 (b) 47 (c) -0.302 (d) -3\/5 (e) -2\/11 (f) -3\/4 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0365 + 0.9755. Let j = g + -0.012. Which is the closest to j? (a) 2\/17 (b) 4 (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaiq when four letters picked without replacement from {q: 3, i: 2, b: 1, a: 6, x: 5, u: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1279 - 3928 = -41*v + 369. Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:47 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343796 and 25764?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/217*(-14)\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (145*v + 1218*v + 1767*v)*(0 - 3*v + 1 - 3) as g + u*v**2 + s*v and give u.\nAnswer: -9390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/81 and 56\/155223.\nAnswer: 465669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*v - 98*v = -14. Solve -24*c + 17*c + v = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 516 by 516.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 630 - 344. Suppose -5*h + 274 = -d. Suppose j - 22 = 5*m, -j - 4*m = 3*j - h. 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 144 minutes after 1:00 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*a = -1620, -5*a - 343 = -t + 216. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m + 3*m - 15*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 10*n**5\/3 + n**4\/6 + 29*n**3\/6 - 290*n**2. Find the second derivative of z(q) wrt q.\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/42*2*-51. What are the prime factors of (-17)\/v*(-1 + -5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 != 1392.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13276379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-233)\/(9087\/(-1170)))\/(2\/3)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54593, -54961, -55561, -56393, -57457?\n\"Answer: -116*a**2 - 20*a - 54457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187 - 7*z - 1204 + 17.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14226.1 + -14948. Let p = y + 721. Is p > -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fckkhyi. Give prob of picking 1 c and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50 - -9229) + (2 - (-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97385467.\nAnswer: 97385467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-20) - 3)\/(3\/(-12)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*a**2\/3 + 20182*a\/3 + 228.\nAnswer: 2*(a + 171)*(59*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t**2 + 37*t**2 + 30*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5214*f**2 + 17. Let m(o) = -o. Calculate m(s(p)).\nAnswer: -5214*p**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2103013 = 5*d, 26*w - 21*w = -4*d + 1682390. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:44 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/11)*f)\/(((f*(f\/f**(-3\/5))\/f*f)\/f)\/f))\/(f**(1\/5))**(-4))**(-50) assuming f is positive.\nAnswer: f**(-1110\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11330, 11319, 11308?\nAnswer: 11297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*i**5*t + 7*i**3*t**3 + 1316*i**2 - 2*t**3 wrt i?\nAnswer: 11940*i**2*t + 42*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744440.\nAnswer: 2, 3, 5, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 5091235434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1645 * 0.030995.\nAnswer: 0.0050986775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(204)*-2 + sqrt(204))\/sqrt(12))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2 - -15) - 3*-1. Solve -g*m = 3*a - 0*a, -2*a - 3*m = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**2 - 25*r - 204 wrt r.\nAnswer: -4*r - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*q**3 - 2 + 4 - 42*q**3 to m*q**2 + t*q + i + b*q**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9658 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: Let h = -5 + -2. Let t = h - -6.5. Which is the third biggest value? (a) 1\/4 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l - l + 3*l - 3*l + l + 46*l - 70*l + 82*l + (4*l - l - 4*l)*(-2 + 5 - 1).\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3164685*s**3 + 2317405 with respect to s.\nAnswer: -9494055*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 74. Let k = 55 + 15. Let f = k + -67. Solve f*t + 5*h = 9, v*t - h = -0*h - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -118, -0.1, -3\/5, 2\/13 in increasing order.\nAnswer: -118, -3\/5, -0.1, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*i - 88, 3*f - f = -3*i + 65. Suppose -s = 0, -s + f = -4*v + 5*v. Suppose 4*n = -2*k + 84, n + v = k - 23. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 24. Solve -4*c + j*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g - 7*g**2 + 6*g)*(-2*g**2 + 0*g + 0*g) + (-4*g + g + 2*g)*(-2*g + 4*g**3 + 2*g) to k*g**2 + n*g**4 + m*g**3 + f + z*g and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c - 30. Let z(r) be the second derivative of r**5\/20 + 5*r**4\/12 - 5*r**3\/6 + 4*r**2 - 33*r. List the prime factors of z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:22 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027191569 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d - 60a38?\nAnswer: -60bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7707 or 1.23846?\nAnswer: 7707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -3 (c) 5 (d) 3205002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 9 = 0. Suppose -5*v - p = -6*p - 25, 3*v + t*p = -3. Let q(c) = -c**3 + 5*c**2 - 3 - 5*c - 2*c**v + 6*c**2 - 4*c**2. Give q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 + 7*w**2 - 5*w - 2. Let m be j(1). Suppose m*t - 2*l + 14397715 + 15202285 = 0, -2*t + 4*l = 11840000. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - r + 5*r = 2*k, -12*k + 7*r - 11*r = -5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 44 = 65. Solve -4*u = -p*d, 7 = -2*u - 2*d - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12 = 12*o. What are the prime factors of (o\/(-9))\/((-2)\/(-450))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:04 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**4 - 14*r + 10\/3*r**3 + 205 - 5*r**2 - 1\/5*r**5. Find the second derivative of k(t) wrt t.\nAnswer: -12*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 2*i**2 + i + 4. Let p be h(2). Suppose -35*y + 34*y = -p. Let v(s) = -s**2 + 4*s + 14. What is the lowest common multiple of y and v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 8*m**2 - 8*m - 7. Let r be p(9). Suppose 0 = s - 0*t + r*t - 45, -4*s + t + 180 = 0. List the prime factors of (28\/(-3))\/((-6)\/s).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9*a\/((a\/((a*a\/(a**14*a*a))\/a))\/a))**(9\/4))**(2\/23) assuming a is positive.\nAnswer: a**(-45\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31268.\nAnswer: 2, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*k**3 - 47*k + 17*k**3 - 2 + 23*k**3 in the form z*k**2 + l*k + c + u*k**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 2846158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 2*n + 32 = 0, 4*f = -5*n + 125. Suppose -21 = -3*l + f. Suppose -12*w = -3*w - 18. Solve 5*d - w = -g + 3*d, -2*g - l = -3*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 86 = 44. Suppose 7*f - u = 2*f. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 2*z + 6, -c - 2 = z. Let y be ((-56)\/12)\/(6\/9). Let p = c - y. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1.5, 3, 2, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.4, 5\/37 in ascending order.\nAnswer: 5\/37, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-4)\/48*3. Suppose 5*o - 3*o + 6 = a. Let t = -4.6 + 0.6. What is the closest to o in t, 0.2, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93161.\nAnswer: 59, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20 and 59\/2172?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16181 or -33667?\nAnswer: -16181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2846.6 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4540331.7 milliseconds to hours.\nAnswer: 1.26120325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/(4\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsz. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010011100 (base 2) in base 4?\nAnswer: 10022130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -121, -269, -421, -577, -737?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.1. Let j = -4.03 + 0.03. Which is the closest to -1? (a) i (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = -35*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.8, 0.3, -1, 5?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181230.2 kilograms in nanograms?\nAnswer: 181230200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 - 4*f - 4. Let r be i(3). Let o(q) = -2*q**2 + 3. Let a be o(r). Let l(z) = -2*z**2 - 10*z + 3. What is the units digit of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 - -610. Calculate the remainder when n is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2 and 119\/5898.\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.695 + -0.305. What is the closest to 1\/5 in 0.2, -14, p, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117 - 136) + 4 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1456810 and 131\/70?\nAnswer: 10197670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 30*l - 2. Let u be z(30). Let i be 34300 + u - 4\/(-1 + -1). What is i rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 2744?\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-328)\/14) + 15\/(-35). Suppose 0 = -f*s + 6*s + 864. Solve -52*y - 10 = -s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246635 or -246626?\nAnswer: -246635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.393423 rounded to zero decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 353, 0.3, -4 in descending order.\nAnswer: 353, 0.3, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-18)*(-34)\/(-119)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*k + 5 = -2*r, 5*r - 13 = k. Suppose -5*n + 394 = r*m, 0 = -2*n + 17 - 7. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -3*z, 9 = 4*k + z. Sort 7, k, -5 in decreasing order.\nAnswer: 7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0*o + 2*o - 4*o + 2. Suppose 0 = 2*f + 2 + 10. Determine s(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17257, 34317, 51379, 68443?\nAnswer: 85509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2710\/14)\/(-1) - -2. Let y = m + 192. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 4*m - 6. Let j = -109 + 102. Let w be q(j). Let k = w + 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0 - -3) + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*sqrt(304)*-1 - (1 + sqrt(2736) + -1 + sqrt(2736) + sqrt(2736) + 5)) + 1)**2.\nAnswer: 51376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 60*u**2 - 6*u - 18. What is the hundreds digit of n(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*q = 613*q + 119 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpzypw. What is prob of picking 1 p and 2 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.33 + 2.43. Is u at least as big as -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 33 = -2*f - 5*m, -5*f - m = -15. Find the third derivative of -f*g**2 - 9*g**6 + 5*g**6 - 13*g**6 - 28*g**2 wrt g.\nAnswer: -2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8043 and 24?\nAnswer: 64344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - -41. Suppose 4*l + k = -x + 4*x, 2*l = 5*x - 164. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 2\/5, -8\/11, -5\/2, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 262?\nAnswer: -340.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 17. Give s(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12 - 3 - 4 + 9*r + 19. Let u(h) = -15*h**2 + 9*h + 9. Let s(b) = -4*b**2 + 2*b + 2. Let o(a) = -9*s(a) + 2*u(a). Determine d(o(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 7*j. Let f be j*(-2 - (1 + -3)). Let s(z) = z**2. Let d be s(0). Is d > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.111233ns to hours.\nAnswer: 0.0000000000019753425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 4. Let r be x(7). Suppose -2*k - r = -1. What is the nearest to 0 in k, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24 = 3*o. Let t = o - -26. Let w(i) = 2*i - 12. Calculate the lowest common multiple of w(17) and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (-3 + sqrt(6292))*6 + -4 + 0.\nAnswer: -24 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -228, -340, -454, -570, -688, -808?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 + -23 + 17 + 9 + (0 - -11) + -1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i + 17. Let u be 0\/(0 + -1)*-1. Let w be h(u). Let t = w + 7. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117238737*f*v**2 + 6*f*v + 31490*f - 153*v wrt v?\nAnswer: -234477474*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210 + 310. Let v = -3447 + 3459. Suppose 17*s - o = v*s. Solve 4*z = -0*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 4:33 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 378552735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -286 + (3 + -2)*0\/(-1). Suppose -197 + 52 = 5*z. Let n = z - t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486654 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20*j - 174. What is n(-19)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*a + 3*a - 57, 3*a = -u + 17. Suppose -4*q + 3*q = o, 12 = 3*o - q. What is the units digit of u - (-1 + o + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 25, 65, 121, 199, 305, 445, 625?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.8 + -36.5. Let n = j + 17.70000079. Round n to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 15. Let k be v(7). Let n = 17 + k. Suppose 21 = 5*h - n. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2901 - 2463. Calculate the greatest common divisor of k and 1241.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1*19\/(-2). Suppose 2*d - 7 = -5*x + 18, 0 = 2*d + 3*x - h. Suppose 0 = -7*n + 10*n - 3. Put -4, n, d in descending order.\nAnswer: d, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*j - 59*j + 2429 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*o**2 - 2*o - 17*o - 2*o**2 wrt o.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -138669 and -138669 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 467*q - 419*q - 480 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/(-3774))\/((-5)\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -886*g = -893*g + 98. What is the remainder when 811 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(0*z - z + 3*z)*(z - 4*z + 2*z)*(-4*z - z + 6*z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.86 + 2.27. Let u = -26.62 + z. Round u to one decimal place.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155735543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*o + 8*o - 2980*o**2 + 2980*o**2 - 6*o**3 - 6*o**3.\nAnswer: -12*o**3 - 100*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 7*h**6\/120 + h**4\/12 - h**3\/6 - 6*h**2. Let v be c(1). What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/30 - (-1)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 7. Let z be x(4). Let l = z + -8. Suppose 8 = l*a - 7. Solve 3*s - 9 = -a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - a**5\/30 - a**4\/24 - a**3\/2 - 2*a**2 - 788. Let k(y) = -2*y**3 - 4*y**2 - 2*y - 7. Calculate -3*k(g) + 7*l(g).\nAnswer: -g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 162*f**2 + 2592*f + 648. Let p(n) = n**2 + 4*n + 1. Let j(m) = -o(m) + 648*p(m). Let u(t) = 4*t**2. Determine j(u(a)).\nAnswer: 7776*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1 - sqrt(100) - sqrt(100)) + sqrt(100) + sqrt(100) - sqrt(100))\/(5*-2*sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2*m**3 + m**3 - 4*m**3) + (1 + 0 + 1)*(0*m + 0*m + m**3) + 0*m**3 + 6*m**3 - 3*m**3 + m - m + 7*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*v = -140, -2*t + 3*v = 7*v + 68. Let z = -29 + 84. Let k = z + t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -22.8.\nAnswer: 18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.948653 millennia in years?\nAnswer: 7948.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-56)*(2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 2, n: 3}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/7363 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 6834?\nAnswer: 211854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t**2 - 6*t + 6. Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62377, -124756, -187145, -249550, -311977, -374432, -436921?\nAnswer: -499450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12)*27\/6. Suppose -3*p + 96 = n*h, 0 = 4*p + 2*h - 119 - 13. Calculate the greatest common divisor of 85 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155719 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 + 589 - 41*h**3 - h**3 - 1183.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Suppose 0*q - b*q = 4. Let j = -2\/79 - 233\/158. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 2*d + 1. Let q be o(1). Solve -2*p + 5*s + 1 = q, 0 = 5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bbb0 - 3?\nAnswer: -bbb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11141*t - 11. Let h(d) = 44554*d + 40. Give -3*h(x) - 11*v(x).\nAnswer: -11111*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 7*d**2 + d**2 + 28*d**3 - 26*d**3 + 2*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29397444 a multiple of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 25*n + 73. Let r be z(-5). Does r = -36\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3417942 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16468*x*y**4 + 2441*x*y + 3*x + 2*y**4 - 2*y**3 + y**2 + 2*y wrt y.\nAnswer: -395232*x*y + 48*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4614 + 4617. Solve -9*x = -12*x + 2*d - 8, -4*d = y*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -20*m + 4. Let v(a) = 2*a - 989. Give v(x(w)).\nAnswer: -40*w - 981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -134. Calculate the highest common factor of 318 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, 637, 469, 301, 133, -35?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/3 + 909722*q + 2729164\/3 = 0. Calculate q.\nAnswer: -1364582, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (-17845)\/(-473) - (0 - -9)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(480)\/sqrt(10))**2 + 4*(-1 + sqrt(3)) + sqrt(3) + (6*sqrt(21)\/sqrt(7))**2.\nAnswer: -183 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 502866 and 616?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 19*a. Let i(u) = -40*u. Let c(g) = 7*f(g) + 3*i(g). Let n(y) = 64*y. What is -24*c(z) + 5*n(z)?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, x: 1, f: 1, q: 1, w: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from edeedddddeddeeeddee.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*k - 2 + 2 = 0. Let s be 1\/2*-1 - (-93)\/6. Solve 0 = -z + 2*z + 5*j - s, 5*j - 15 = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -15883.\nAnswer: -3\/15883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5137316.\nAnswer: 5137316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - -58. Calculate the greatest common divisor of 28 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 5:29 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*m - 2 = x, 3*x = 3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**4 + 102445*s**3 + 512030*s**2 - 1433880*s = 0.\nAnswer: -20484, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/(6\/(-9)). What is the remainder when ((-4)\/10)\/(o\/190) is divided by (6\/(-9))\/((-16)\/312)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -100*r - 608. Give j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/12 + z**4\/12 + 69*z**2 + 2. Give h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) -1 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86350117?\nAnswer: 7, 19, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 + -6 + 2). Is (19\/(-4))\/(4\/(-16)) + m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/24 + o**4\/8 + 6*o**2. Find the second derivative of y(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 7, l: 7, z: 3, i: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 27*c - c. Suppose 0*m = 5*q + m - 17, 2*m - 16 = -4*q. Suppose 0*u - q*u = -306. Calculate the remainder when u is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/505541 and 17\/1045087.\nAnswer: 233054401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 72, 71, 72, 75, 80, 87?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - 2 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 10*k**2 + 73*k - 609. Let j be q(9). What is the highest common divisor of 192 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 25*b = 3*b + 62. Sort -3, 3, b, -219 in descending order.\nAnswer: 3, b, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 5, x: 3, i: 2, e: 1, d: 1}. Give prob of picking 1 e, 1 d, and 2 c.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -18183?\nAnswer: -18183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w**5\/6 - 4727*w**4\/6 + 10701*w**3\/2 + 32903*w**2\/6 - 175690*w\/3 - 17050 = 0 for w.\nAnswer: -682, -3, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349878017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 1196486*p\/5 + 478596\/5.\nAnswer: -2*(p - 119649)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -10 + 1\/30*q**4 - 2\/75*q**5 + 0*q - 1\/15*q**2 + 2\/45*q**3. Find b such that a(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p + 8. Let s(t) = -t**2 + 14*t + 51. Let j be s(17). Calculate the least common multiple of a(j) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -49. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3818265409 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x - 3, 0 = 4*d - 5*x - 3. Let i be 1 - 9 - d - -1. Let z be 3\/6 - 6\/i. Solve f - 3*f = -z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584122 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. Let z = 4 + r. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 - 2*y**4 - 2982*y**3 + 1297*y**2 - 48?\nAnswer: 60*y**2 - 48*y - 17892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 5, -19, -63, -133?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**3\/6 + 11*o**2\/2 - 9*o. Suppose 0 = -5*r - s - 1, -2*r = 2*s + 2. List the prime factors of m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4146, 10.9, 4, -3\/7 in ascending order.\nAnswer: -3\/7, 4, 5, 10.9, 4146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2693 by -2.\nAnswer: 2693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3 - 3. Let g be (2 + 10\/(-4))*d. Let o(r) = -2*r**2 - g + 1. Let q(j) = -j**2. Calculate o(q(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, r: 2, y: 3}. What is prob of sequence yh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:04 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28775021, -28775019, -28775017, -28775015?\nAnswer: -28775013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 23*v**2 + 1\/39*v**4 + 1\/390*v**5 + 0*v - 4\/13*v**3 + 0. Factor u(l).\nAnswer: 2*(l - 2)*(l + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 2*s)*(5 + 0 - 3) - 2*s + 3 - 3 - 2 - s + 2*s + 0*s + (0*s - 6*s + 4*s)*(-1 + 6 - 3) + 9 + s - 9.\nAnswer: -8*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:12 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05495, -3, 15, 769.\nAnswer: -3, -0.05495, 15, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + s**2 + 0*s**2)*(1 + 0 - 2)*(10*s - 8*s - 17*s) + (4*s - 27*s - 22*s)*(0 + 0 - s**2).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75654, 149037, 222420, 295803, 369186?\n\"Answer: 73383*s + 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -501 divided by 5923\nAnswer: -501\/5923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/3 + 458*m**4\/3 - 34184*m**3\/3 + 819632*m**2\/3 - 7107056*m\/3 + 11201696\/3 = 0?\nAnswer: -526, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -14, -20?\n\"Answer: -6*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -84*r - 5. Let n(g) = -42*g - 1. Determine -7*n(c) + 4*x(c).\nAnswer: -42*c - 13","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Suppose 2*b - 25 = -z*b. Let j be -19 - -11 - (-12 - -3). Solve b*r + 25 = 2*m, 4*r + m = -6 - j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 1772*m**3 + 197132*m**2 - 195364*m.\nAnswer: 4*m*(m - 221)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 96, 380, 924, 1806?\nAnswer: 3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14224, 28446, 42668, 56890, 71112?\n\"Answer: 14222*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 32*u + 111. Let l = -1 + 2. What is the third biggest value in l, -0.3, u, -5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -22. Let k = -5 - 87. Let w = k + 142. What is the greatest common factor of v and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1424542 + -23?\nAnswer: -1425005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458081963 to the power of 1\/2, to the nearest integer?\nAnswer: 21403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y**4\/7 + 347382*y**3 + 5835978*y**2\/7 + 625282*y + 972660\/7 = 0 for y.\nAnswer: -243165, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110 - 101?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*g + 60 = 106*g + 114*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + k**2 + 5 - 139*k + 134*k + 61*k**3 - 1. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91 or -134?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eufg when four letters picked without replacement from ufuegueeue?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647 greater than 66463\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-1296)\/(-64) - (-178)\/(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -3817\nAnswer: -15268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212 + -21100210020?\nAnswer: -21100121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - 2*sqrt(65)*-3)\/(-2*sqrt(605) + sqrt(605)).\nAnswer: -7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -3*y - 28 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.283611729 rounded to four decimal places?\nAnswer: 16.2836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let j(s) = s + x*s + s - 4. Is 14 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*k + 60154 - 17842 = 0 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 1 - (-187 - (-21 + -84)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74769028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 3:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 17*w + 5. Let u(j) = w + 4 + 8 + j + 14 - 32. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 smaller than 445563\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/693*-7 - (-1832)\/9. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24498.945 + 59243\nAnswer: 83741.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*g + 2881, 0*g = -z - 5*g + 553. Suppose -5*i = -207 - z. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*d - 45. What is the remainder when 93 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 40 = 5*y, r - 5*y - 20 = -4*r. Solve 6 = r*j - 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w**2 + 39*w**2 + 15*w**2 + 85 + 35*w**2 - 85.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2503 is divided by 496.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 555512.\nAnswer: -555512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-4)\/(-6))\/((-80)\/(-600))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -4*v**3 + 10*v**2 - 8*v + 34. Find a such that d(a) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 697169 or 20217878\/29?\nAnswer: 20217878\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -858 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247 + -25. Let n = 527 + b. Let v = n - 142. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 4*x**2)*(2*x**2 + 2*x**2 - 5*x**2) + 56*x**3 - 350*x**4 - 8*x**3 - 46*x**3.\nAnswer: -349*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*m - 14546 = 12355 - 9493 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352906 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5992 and 5056606.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302.586 grams in micrograms?\nAnswer: 2302586000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -541, -1239, -2213, -3457, -4965, -6731, -8749?\n\"Answer: v**3 - 147*v**2 + 18*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/1*(-1)\/2. Suppose -f - 8 + g = -4*v, 3*f + 7 = -2*v. Let m = -3 + v. Which is bigger: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcdawcmwx. What is prob of picking 2 c and 1 a?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245.007045951 - -0.992947899. Let w = -246.86 + 0.86. Let h = w + c. Round h to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -24*h + 10. Determine p(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose 4*f = -4*q, -20 = -f + q + y*q. Let i(z) = -z**3 - 6*z**2 - 6*z + 6. Calculate the remainder when i(-5) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12820250461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 9*m**2 - 36*m + 158. Calculate x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2381627\/375 - 6351. Is v greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/166330 and -81\/365926?\nAnswer: 1829630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = o - 25. Let y(l) = 8*l + 62. Let v be y(o). Let z(j) = -j**2 - 1. What is z(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4647246, -4647253, -4647260?\nAnswer: -4647267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*g - 43, -g + 23 = -0*g + 4*x. Solve 0*i = 4*r + 5*i + 22, -g = -r + 5*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -310 + 305. Let s be 4 - 0 - ((13 - 11) + t). Calculate the highest common divisor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209229.6 centuries to years.\nAnswer: 20922960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142221500906 + 1.01?\nAnswer: 142221500907.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-17766)*-47)\/(6\/7)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlil when four letters picked without replacement from liiinlziilii.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*43\/4128*48?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3065 - 2329. What is the highest common factor of 230 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123023302 (base 4) in base 5?\nAnswer: -12030341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112112011012 (base 3) to base 2.\nAnswer: -101001001010010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1786840873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 - -6)\/(4\/40*-6). Suppose s*u + k = 4*k + 3250, 4*u = -2*k + 2622. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352955 and 2901?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207966 and 49731.\nAnswer: 2287626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -4888.7036622807.\nAnswer: -4884.7036622807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3114 (base 14) to base 10\nAnswer: -8446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k**(3\/2)*k)*k)\/k*k*k*k\/(k*k*k\/(k**(2\/13)*k)))\/(k**(1\/3))**16*(k\/((k\/(k*k**0*k)*k)\/k*k))**(1\/28)*(k**0)**49 assuming k is positive.\nAnswer: k**(-5071\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 5. Let f be k(-5). Suppose -b - 1 = -6. Suppose 4*a = 4*i + 8, i + b = 2*a - 0. Solve -f = a*o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*g - 3666 = -92*g. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -133*m + 406. Let a be o(6). Let z = 392 + a. Suppose -5*v + 14 = 2*x - 2, 0 = 5*x + v - 17. Solve z*c = x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123222 (base 4) to base 6.\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 16*q - 15*q - 2*f, 3*q - 32 = -0*q + 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:23 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-37)\/(-5) - 4\/10. Let a(c) = c**2 + c - 4. Let x be a(2). Suppose -h - n = -10 - w, -8 = -x*n. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(28)\/sqrt(2))\/sqrt(2)*-2)**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + 248\/18. Let r = c - 9. Let i = r - -3. Calculate the least common multiple of 5 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 1 - 5)\/(-1). Solve -2*j + u = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (25 + -32 - (-3 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 + 826782*q**4 + 3307080*q**3.\nAnswer: 3*q**3*(q + 4)*(q + 275590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h. Let c(a) = 5*a**2 - 7*a + 6. Let v(r) = c(r) - 4*o(r). What are the prime factors of v(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4609678?\nAnswer: 2, 2304839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 1. Let n be c(1). Let y(g) = g**3 - 5*g**2 - 12*g + 12. Let a be y(5). Let b = 51 + a. Is b at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(65))\/(sqrt(1500)\/sqrt(12)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/v**(2\/3)*(v\/(v\/(v\/(((v\/(v*v**4))\/v*v*v)\/v))))\/(v\/(v\/(v**(-1\/6)*v)))*((v**(-7)\/v*v)\/(v\/((v\/(v**(5\/2)\/v))\/v*v)))**(-11\/5) assuming v is positive.\nAnswer: v**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7553 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7966026 by 162.\nAnswer: 49173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1)*2 - (-45 + (-416)\/26)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -2, 426, -1, -4 in descending order.\nAnswer: 426, 4, -1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:53 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i - 9. Let g(k) = -23*k - 26. Determine -4*g(j) + 11*v(j).\nAnswer: 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -123 + 47.5. Let a = -41.1 - f. Round a to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7800045 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 6*m**2 - 3*m - 2. Suppose -15*k + 6*k - 54 = 0. What is y(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-80*1)\/(-5)*1. Let t(o) = 2*o**2 - 31*o + 4. Let c be t(a). Is ((-984)\/c)\/((6\/20)\/(-1)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*k + 127 = -372*k + 2*m, -5*k + 103 = 2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {c: 2, j: 1, b: 1, w: 2, g: 1, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -8 + 8 - (27 - 0). Let a be 4 - (4\/(-10) - u\/5). Which is smaller: 1\/212 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42 + 41)*(-24)\/(-74). Sort -1\/4, -4\/5, -3, g in descending order.\nAnswer: -1\/4, g, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 70309553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n + 5 = 0. Let a be 181 - n\/((-1)\/(-4)*4). Calculate the highest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*6093.\nAnswer: 1035.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a decade in months?\nAnswer: 3160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -9. Let b be (-1)\/(p\/6) + 2. Solve b*d = -0*d + 2*z, 0 = -2*d + 4*z - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + -4*sqrt(304) + 3)**2 + ((-1 + sqrt(304) + -3)*-5)**2 + -4.\nAnswer: -736*sqrt(19) + 12868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s + 8\/3*s**3 + 1\/4*s**4 + 7\/2*s**2 + 7. Determine f(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h + 76*h - 17*h - 8*h**2.\nAnswer: -8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(-2*14\/3108). Let v(i) = 29*i**2 + h*i**2 - 64*i**2. Let p(t) = 3*t - 7. What is v(p(y))?\nAnswer: 18*y**2 - 84*y + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7842958 seconds in nanoseconds?\nAnswer: 784295800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/4))**(12\/17)\/(h**6\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(-817\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 + b + 2. Let r be j(2). Suppose r = 5*m - 2*m - 117. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 9*z + 4*u, 5*u - 899195 = -5*z - 899190 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24738229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 10*b = -2112. Let t = b - -130. Let o be -1 - 2\/(14\/(-9)). Put o, 3\/2, t in decreasing order.\nAnswer: 3\/2, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 42. Let d = 0 - 6. Let l = -25 - d. Does 9 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1\/5*h**5 + 0*h + 0*h**2 + 0*h**3 + 2 + 1\/4*h**4. Factor y(c).\nAnswer: c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, -1, -52, -103, -154, -205?\n\"Answer: -51*n + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19625865 divided by 934565?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 7*i**2 + 2*i - 6. Let g be t(7). Let p = -6 + g. Suppose -2*w = -5*f - 3, w + 4 = 5*f - 8*f. Put -4, p, f in ascending order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 709*f - 314*f + (5 - 2 - 4)*(-f + f + 2*f) - f - 2*f + 4*f - 1 + 1 - 2*f.\nAnswer: 392*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -1401*a**4 + 4*a**2 + 28*a + 722. Let r(s) = s**4 + s**2 + 7*s + 1. Let h(y) = d(y) - 4*r(y). Find the first derivative of h(g) wrt g.\nAnswer: -5620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 991132, 1982250, 2973368, 3964486?\n\"Answer: 991118*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-14) + 14\/49.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m*n**5 + 78644*m*n**3 + m*n**2 + 2*m*n + 21*n + 2241 wrt n.\nAnswer: -300*m*n**2 + 471864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36282781 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 9*a**2 + 4*a - 29. What is y(5)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let j(i) = -i**2 - 5*i + 12. Give -j(p) - 6*k(p).\nAnswer: p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.95081 rounded to two dps?\nAnswer: -8.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from bbbbmmbbbbbbbmbmbb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1863 + 65?\nAnswer: -17dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from {j: 5, b: 7, z: 2}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = -57*u + 116. Which is the nearest to 2? (a) -5 (b) 0.01 (c) u (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.96 - 4. Let b = -0.03999995 - j. Round b to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 36*r - 302. Let w be m(18). Solve w*k - 42 = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f. Let z(j) = -35049*j**2. What is a(z(h))?\nAnswer: 525735*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6 + 5*p - 6. Let m(q) = -20*q + 8*q + 2*q + 12*q. Calculate d(m(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*i**2 - 61*i wrt i?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3068 - 3000. Calculate the highest common factor of 578 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/3744*-12*(-7)\/(-21).\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 - 7*z - 5. Let j be i(-6). Let v be (1 - 1\/j)\/(-2). Let f = 17 - v. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:29 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a + 3. Let u be m(4). Suppose k - 39 = -u*v, -41 - 24 = -5*v - 4*k. Let t = v + -13. Sort t, -3, -5 in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2992 and 1146208.\nAnswer: 12608288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 - 5*s**3\/6 - 3*s**2\/2 - 529*s. Give d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose 2*i - 6 = b. Solve i*t - 4*x = -36, 2*t + t = 2*x - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 + 2587*u + 821. Give v(259).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 22*y - 25. Determine k(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 22691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*n - 12180 + 47666, -133197 = -15*p - 2*n. Which is the nearest to 0.1? (a) 5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + g, i - g - 4 + 2 = 0. Let k be (-2 + 1)\/(i\/(4*-94)). Let b = -89 + k. Solve -2*y + b*n = n - 20, -3*n = -y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 4 + 3 + (6 - 11) + -1 + -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01874056 rounded to 5 decimal places?\nAnswer: -0.01874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2429208 and -17\/97978056?\nAnswer: 293934168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 62*p**2 + 176*p - 40. Calculate x(-59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 41*n - 57*n + 6.\nAnswer: -16*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424514 by 5177.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*k - 40, -v = -2*k + v - 20. Suppose 2*z + 6 = -0*z. Let s = z + k. Round s to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200121 + 121?\nAnswer: 11201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + sqrt(3087)*3)*6*-1)**2.\nAnswer: 1778112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82 + -5b32?\nAnswer: -5bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 28, 51, 92, 157, 252, 383?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2996 from 0.0295.\nAnswer: 2996.0295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 216*t + 127. Suppose 0 = 2*p + 152 - 174. Is z(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2603*m - 10343*m - 11599*m as r + b*m and give b.\nAnswer: -19339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by -1388?\nAnswer: -50\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d**5 + 2*d**4 - 64290*d**3 + 2113*d**2 - 118659*d?\nAnswer: -720*d**2 + 48*d - 385740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Suppose d + 2*j - 7 = -2, g*d - 5*j + 5 = 0. Suppose -3 - d = -4*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**3 + 5*i**2 + 29*i + 32. What is s(-3)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 10\/(-5) + 14. Let d = 1201 - 1207. Sort u, d, 2 in increasing order.\nAnswer: d, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viuiiuuvi. What is prob of picking 1 v and 1 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/26)\/((-1137)\/(-59124))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 14961743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*q - 10*j + 593, 3*q = 4*j + 553. Let m(v) = v**3 + 7*v**2 - 1. Calculate the remainder when q is divided by m(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 297*h = -1012. Solve -h*k = 3*p - 29, 4*k - 6*p = -11*p + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003808 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (-45)\/30 + (-1)\/(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10362 - 154?\nAnswer: -10546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) + 13\/5. Differentiate v**x + 3 + 0 + 1 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17368545.\nAnswer: 3, 5, 79, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 26 and -14288.2201.\nAnswer: -14262.2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 - 4*k**3 + 24*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4870383.\nAnswer: 3, 7, 231923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52611 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**6\/10 - 19*v**5\/30 + 3*v**2 - 2. Let t(b) be the second derivative of k(b). What is the third derivative of t(u) wrt u?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5936746*v + 11875748*v - 5939005*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -25*k + 68. Let n be v(5). Let t be (1 + n\/51)*(-2 - -3). Let x = 0 + -1. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2 - 38\/3*m**3 - 2*m - 81. What is the second derivative of k(z) wrt z?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15) - 2\/5. Suppose -x = 4*y + 8, k = -4*x + 2*y - y + 2. Let j(t) = t + x*t + t. Let s(u) = -3*u**2. Give j(s(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 f when four letters picked without replacement from {f: 13, r: 3}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let u(l) = -l**2 + 4*l + 1. Let p be u(2). Suppose 2*w - 5*s = -6, -3*w + 2*w + p*s - 3 = 0. Put -5, w, k in increasing order.\nAnswer: -5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245)*3 + sqrt(245))**2 - sqrt(5)) + sqrt(5) - 4*sqrt(405))*-4.\nAnswer: -15680 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:58 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**2 - 8717720*r + 30219099.\nAnswer: -2*r - 8717720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.625378517 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.4 - 7. What is the nearest to 0.1 in d, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25017248 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1359)\/(-27)*((-6)\/(-4))\/(22\/(-44)).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2 + 124*m**4 - 119*m**4 + 2*m**2 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0156565 to 4 dps.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-22)\/(22\/2))\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -29 + 13 + 15. Let s = -4 - -3. Let f(p) = p + 2. Give s*f(r) - 3*k(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 3. Let p(l) = 3*l**3 + 9*l**2 - 13*l + 15. Let h(c) = 4*c**3 + 8*c**2 - 13*c + 15. Let s(o) = 4*h(o) - 5*p(o). Let m be s(12). Give v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 12*f - 12*f, 3*f - 2*r = 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + 286a597?\nAnswer: 286a545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 6*a - 7. Let l(r) = r**2 - r. Let x(u) = -l(u) + m(u). Let s = 10 + 2. What is the least common multiple of s and x(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 192 = 8*q. What is the smallest common multiple of q and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 2871614741?\nAnswer: -2871614741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g\/g**(-2)*g**8*g*g*g*g\/((g\/((g*g**(-7))\/g))\/g*g)*g assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*h = 6, 3*h = -4*c - c - 2. Suppose v - 7 = 2*z, 0*v - 29 = -3*v + c*z. Calculate the smallest common multiple of v and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761812 - 15489*z + 761812.\nAnswer: -15489*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.29 - 15. Let k = -0.3 + t. Let v = 2.99 - k. Which is the second smallest value? (a) v (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*o = 2091*o + 24854 + 4777 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4685202ml to litres.\nAnswer: 0.0004685202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 4, i: 10, f: 2}. Give prob of picking 2 d and 2 f.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2051, -5, 350 in descending order.\nAnswer: 350, -5, -2051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35771759*r**2 + 174*r - 78228.\nAnswer: 71543518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 10. Sort z, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + 175. Let t(f) = 32*f**2 + 7*f + 30. Let d be t(-1). Calculate the greatest common factor of u and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758617363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*t**2 + 34*t**2 - t + 5*t**4 - t**4 in the form z*t**4 + g*t**2 + y*t + b + c*t**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y. Suppose y = -0*i + 4*i. Suppose -2*w = -i*w - 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 16) to base 4\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57683 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g - 2. Let f(t) = 4*t**2 + 5*t. Let a be f(-2). Suppose 0 = a*k + 16 + 2. Let c(q) = q**3 - 6*q + 1. Calculate k*b(r) - 4*c(r).\nAnswer: -r**3 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 + 368.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475470 and 2935?\nAnswer: 475470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 356751\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 256. Find the third derivative of 8*n**2 + 8*n**4 + f*n**4 - 2*n - 48*n**4 wrt n.\nAnswer: -840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:41 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/(-3*3\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*s - 93, 5*m + 0*s - 432 = -s. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*2\/28)\/((-1)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h - 66*g + 99 - 83 = -64*g, -h = 5*g - 34 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1) + 98\/2. Suppose -a + 5*a - s = 0. Suppose 0 = 2*o - a + 4. Solve 12 = -n + o*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, v: 2, n: 2, m: 6}. What is prob of sequence qvn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 43 = -7. Let i be z\/8 - (-380)\/160. Solve f = -i*m - 3, -4*m + f + 2*f = 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 6*a - 6. Let g be w(5). Calculate the common denominator of -73\/22 and (27\/(-88))\/(g\/260).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 34*j**2 - 381*j - 1908. Give d(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 236147 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29381?\nAnswer: 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 3. Let p(r) = r. What is the remainder when p(7) is divided by v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(3 + 2 - 4)*(1 - 1 - 1)*(18943 - 644 - 2714).\nAnswer: 31170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + n**2 - 11*n. Let v(g) be the first derivative of r(g). Let a(q) = -q**2. Calculate v(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2478924 kilometers?\nAnswer: 247.8924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 24. Suppose n*f + 3*b = 170, -3*b + 88 = 3*f - f. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 - b**2. Let g be -1*(2 + (-3)\/1). Let t be s(g). Suppose t*j - 69 = -5*a + a, -a + 17 = j. What is the greatest common factor of 80 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200051053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*k = 147*k + 70056. List the prime factors of k.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480974 and 6384.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 3. Let j be v(-9). Let w = j + 9. Suppose 0 = -w*z + 1 + 5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2818\/5 in -48\/169, -3, -0.5?\nAnswer: -48\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/720 - o**4\/4 + 7*o**2. Let s(u) be the second derivative of g(u). Calculate s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/((sqrt(44) - (sqrt(44) + sqrt(704)))\/sqrt(4) + sqrt(11)))\/(sqrt(9) + (sqrt(9) - sqrt(27)\/(1*sqrt(3)) - sqrt(9)) + sqrt(54)\/(sqrt(6)*-1)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/4*(-6)\/10 + 3. Suppose f*p + 2*y - 19 = 5*p, -2*p - 5*y = -4. What is the second biggest value in 4, 3, -0.06, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -34*q - 159 + 246 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1219617 - 964717760\/791. Let h = 5\/113 + r. Suppose 11*k - 18 = 13*k. What is the nearest to 0 in k, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - m + 0*m = -12, 4*g = -5*m + 18. Suppose -5*a = -10*s + g*s + 34, 0 = -2*s - 3*a - 9. Solve 2*x + 0*x + 17 = 3*k, 0 = -2*k - s*x - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 465 + -457. Suppose 820 = -b*h + 3900. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {f: 2, a: 3, q: 2, p: 6, n: 1, x: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*p = 3*h + 36, 689*p + 120 = 699*p + 5*h for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362189857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7442*z + 37143. Give c(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o + 31*o - 5 + 8 - 1.\nAnswer: 53*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 3}. Give prob of sequence lh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555901*l**2 + 1204912*l?\nAnswer: 1111802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:22 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - r - 5517, 2*f = -r + 2763. Let y be f\/8 + 5\/((-50)\/(-15)). Are 174 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m - 7. Let u = 3 - -3. Let c be n(u). Suppose 0 = -6*a + a + c. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3316, 3317, 3318, 3319?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -63, -152, -279?\n\"Answer: -19*f**2 + 6*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 17852*c - 9232008.\nAnswer: -4*(c + 597)*(c + 3866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 3.91?\nAnswer: 4.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -9. Let p = -4 - f. Let r = 29 - 26. What is the smallest common multiple of r and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -82 + 115 + -10 + 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -8)\/(66\/176). Is 16 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q - y = 16, -2*q + 3*y + 6 = 0. Let c = 9 - 7. What is the greatest common factor of q and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-3))\/(1 + 1). Let j = 3 - 2. Let u(z) = 105*z + 844. Let q be u(-8). What is the biggest value in c, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 49\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138.753 milliseconds in microseconds?\nAnswer: 6138753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Let l = 3 - 5. Let p = l - -1.9. What is the closest to p in 0.2, 5\/4, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 69759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3443 (base 5) in base 11?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(5\/3)*o))\/(o*((o\/o**(-2\/11))\/o)\/o))\/((o*o**(-3\/5)\/o)\/((o*o**(1\/4))\/o)) assuming o is positive.\nAnswer: o**(881\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11\/3))**(9\/2)\/(i**(-27))**(-3\/10) assuming i is positive.\nAnswer: i**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 13123 divided by -11\nAnswer: -1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/448 and 1 - 40\/52 - (-32084)\/(-89232).\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0 (base 13) to base 2.\nAnswer: -10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52073 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: Evaluate 27 + -8 - 9 - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12. Suppose 2*a - 31 - 65 = d. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57897926 rounded to 2 decimal places?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -586 + 2*w + 27*w**4 - 26*w**4 - 1677 as s*w**2 + i*w + b + c*w**4 + r*w**3 and give b.\nAnswer: -2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 148*g**2 + 299*g + 142. Calculate c(150).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 1. Let b(z) = -9*z - 3. Let q(w) = -4*b(w) + 11*f(w). Give q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -21, 1\/11 in increasing order.\nAnswer: -21, -3\/5, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -563 and -562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540) - (-2*sqrt(540) - sqrt(540) - sqrt(540)))*1)\/(2*sqrt(972)))\/(2*sqrt(99)\/((sqrt(99)*-2 - sqrt(99))\/sqrt(9))).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*i - 2, 0*i + 2*i + 4*h - 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/(a\/(a\/(a*(a*a*a**19\/a*a)\/a*a))))))\/(a**(-2)*a) assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/21)\/z**16 assuming z is positive.\nAnswer: z**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/176*32*1\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6131037732.\nAnswer: 2, 3, 4703, 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -81 - -4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -265.2 and 1.91?\nAnswer: -506.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 895457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**17)**(-3\/19))**(-27\/4))**17 assuming a is positive.\nAnswer: a**(23409\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -107, -271, -531, -905, -1411, -2067?\n\"Answer: -3*g**3 - 21*g**2 - 2*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*w - 3*g - 11, 0 = 5*w - g - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Let a be (1 + 0)*(15 + -109). Sort -3, w, a.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 28*s - 6576. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147178 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 8*g**2 + 11*g + 25. Let x(i) = i**2. Let d(p) = -k(p) - 2*x(p). Let s be d(-7). Which is the nearest to s? (a) -0.5 (b) 4\/9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288 - -330. Let x be (648\/z)\/(6\/56). What is the greatest common factor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 5002)\/(1\/(-668)). Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.7 + -13.3. Let t = 2.9 + -3. Which is the nearest to t? (a) o (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 9 = -2*d. What is the units digit of (12\/5)\/(d\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - n**2 + 2*n + 3. Let d(h) = -h**3 - h**2 + 1. Let r be 10\/25*(-25)\/(-10). Give r*i(x) - d(x).\nAnswer: -x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 + u + 2. Let s be b(-3). Let x = 9 - s. Suppose -x*o + 165 = -5*o. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:14 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 816565365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2520*k**2*p**2 - 8*k**2 + 2*k*p + 30*k wrt p.\nAnswer: 5040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -252? (a) 2 (b) -8\/263 (c) -0.3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7873507?\nAnswer: 7873507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -198*s + 4514 - 820*s + 338218 - 1293*s + 283*s + 3*s**2 = 0.\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-9)*27\/(-12). Let i(r) = r**3 - 11*r**2 - 8*r - 48. Let u be i(o). Let 6\/19*s**3 + 4\/19*s**2 + 0 + 2\/19*s**4 + u*s = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - (-7 + 2)) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/19)*c*c*c)\/(c**3*c))\/(c*c**(-2)*c*c\/(c*c**(-3\/10))))\/(c\/(c\/c**(3\/8))*c**(2\/5))**(-1\/56) assuming c is positive.\nAnswer: c**(-50259\/42560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 8\/35, -266.21 in ascending order.\nAnswer: -266.21, -0.1, 8\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 44. What is the highest common factor of b and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 1:29 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1310 (b) -31 (c) -1\/5 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.958 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -401, -372, -65, 514, 1359, 2464, 3823, 5430?\n\"Answer: -r**3 + 145*r**2 - 399*r - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27943 = 698*d + 13382 - 5058 - 23657 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393195912.\nAnswer: 2, 1579, 110291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = m - 69, 2*m - 2*f + 33 = 161. Let x(d) = 38*d + m*d - 92*d. Let k(u) = -4*u + 4*u + u. Calculate k(x(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i - 75. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*1*2 + (-5*-5*sqrt(12)\/sqrt(4))**2)*-2.\nAnswer: -3746 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/48 + (-8075844)\/(-48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14852482 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 1. Let g(n) = 3*n + 28. Let w be g(-9). Let o(t) = -7*t - 2. Let j(m) = w*o(m) + 2*q(m). Let c(l) = l**2 - l**2 + 3*l**2. Determine j(c(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83888 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54534484140.217 plus -2.3?\nAnswer: -54534484142.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13257651, -13257645, -13257639, -13257633, -13257627?\nAnswer: -13257621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/b**1*(b*b**(-5\/6))\/b**(-1\/9) assuming b is positive.\nAnswer: b**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.5445662 rounded to zero decimal places?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/399)\/((-126)\/(-882))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*t**5 - 3*t**4 + t**2 + 157379*t wrt t.\nAnswer: -8240*t**3 - 36*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41739 is divided by 20869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -11. Sort -3, 3, j in descending order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -34. Let r = -10 + t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let h = c + 1. Let w = h - 1.3. Is w not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1348\nAnswer: 3\/1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*w + 60, 0 = -w + 6*w + 10. Suppose 0 = -v*d - 13*d + 2277. What is the remainder when d is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17995 - 17988. Suppose 0 = 2*c - 2*v + 4*v - 32, -v = -c + 24. What is the second derivative of 35*s + j*s + 23*s - 31*s**2 - c*s wrt s?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2408*q - 3. What is the tens digit of b(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462544, 925105, 1387678, 1850269, 2312884?\nAnswer: 2775529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2 - 2. Let o(m) = 2*m**3 - m + 2. Let p(x) = -25*x - 3 - 4*x**3 + 26*x + x**3. Let a(v) = 4*o(v) + 3*p(v). Determine a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 + -168 + (-11 - -2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 45\/8, -3\/11, -16 in increasing order.\nAnswer: -16, -7, -3\/11, 45\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41 + -3*4\/(-18)*6. Solve -5*c = 10*c + i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226888 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 - (-243)\/15. Let n(k) be the first derivative of -11*k**2\/2 + 41*k - 33. Let v be n(3). What is the greatest common factor of v and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39046956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.55712 minus 536?\nAnswer: -728.55712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14328033 and 69744.\nAnswer: 4359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*v, -3*v + 380652 = 5*x + 67429. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 29 = 35 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59094 and 227262.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/22683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.95001 less than 2?\nAnswer: -4.95001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00679258701 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 1\/4*c**4 - 19*c + 8\/3*c**3 + 0*c**2 + 24. Differentiate l(v) wrt v.\nAnswer: 3*v**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + 12)) + (-121 + 181 - 84).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/25*(-46)\/23*10?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = w + 1 - 6, 0 = -2*w + 5*k - 18. List the prime factors of (4\/w)\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let u be 2\/6*2\/3. Which is the second smallest value? (a) u (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)\/sqrt(3) + -2)*1)**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 59*z**2 + 33*z - 72. What is c(30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604917092 divided by 125684.\nAnswer: 4813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/30)\/(4\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240193712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/524573 and 51\/35008?\nAnswer: 33572672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 5*p**2 + 4*p + 2. Let j be z(4). Let g = j - 2. Sort -6, 4, g in increasing order.\nAnswer: -6, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212*c**3*x - 91*c**3 wrt x.\nAnswer: -212*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1377*y**2 - 635*y**2 + 375*y**2 + 302*y**2 - 107*y**2.\nAnswer: -1442*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-13)\/702*18\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -17 - 7) + -3 + -37 - (-7 + 1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346 + 0.9272.\nAnswer: 346.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78848, -3, 3, -6, -4.\nAnswer: -78848, -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.8084198 rounded to two decimal places?\nAnswer: -69.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**4 - 123*r**2 + 6*r**4 + 130*r**2 wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-6)*(-18)\/(-12). Suppose -4 - 12 = -l*m. Suppose 25 = 5*h + 3*g + 5, -4*h + m*g + 16 = 0. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 15 = -163*b + 164*b, 3*a - 26 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 9*k - 40 = 0. Suppose -6*g + 5*g = -k, 2819 = 5*o + 2*g. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145785179 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 1320 = 44*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/20)\/((-1)\/2). Let h(q) = q**2 - 8*q + 10. Let r be h(7). Let p(x) = 237*x**r + 4*x - 2*x**2 - 234*x**3 - 3*x. What is p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 37*s**2 + 105*s + 106. Give d(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.132 + 0.532. Put -5, k, 6\/5 in ascending order.\nAnswer: -5, k, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + y - 2 + 4 + 3*y. Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 88*l + 2920. Does 80 divide b(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 50 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 167417?\nAnswer: 167511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1739, 3758, 5775, 7790, 9803, 11814, 13823?\n\"Answer: -y**2 + 2022*y - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 19*l + 122. Suppose 6*o - l = -31. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/((-1288)\/48)*147\/105)\/(408\/80)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1095939455 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 3*i + 14. Let t be p(-11). Let u = t + 194. Suppose 2*v + 2*v = u. Calculate the remainder when 87 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33012 and 0.9.\nAnswer: 29710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 73\/3, -3, 1, 0.04, -379 in descending order.\nAnswer: 73\/3, 1, 0.04, -1.1, -3, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7617004 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10146303 is divided by 10146293.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1589)\/(-245) + -9 + (-392)\/(-40) + -7. Sort -0.05, -1023, q in descending order.\nAnswer: q, -0.05, -1023","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 2. Suppose 0*l = -2*l - 6. Let w(s) be the first derivative of -2*s**2 - s - 20. Let q be ((-5)\/2)\/((-2)\/4). Give l*d(n) + q*w(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/6 - 11*u\/2 - 164\/3 = 0.\nAnswer: -8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 395291, 790582, 1185873, 1581164, 1976455?\n\"Answer: 395291*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15298 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 659 - 649. What is the greatest common divisor of 165 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.9 - -12. Let q = h - -0.5. Let f = q - -0.3. What is the closest to f in 1\/6, -3, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2233?\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -430394.\nAnswer: -11\/430394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.789117 centimeters?\nAnswer: 37891170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7726, 15452, 23178, 30904?\n\"Answer: 7726*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10455 and -91\/8364.\nAnswer: 41820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276990?\nAnswer: 2, 3, 5, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 24*h + 509. Let c be t(-21). Let q = 0 + 0. Solve 15 = -q*r - c*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70677094 - 10*d**3 + 70677094.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**5\/30 - 3*z**2\/2 + 6. Let k(h) be the second derivative of j(h). Let d(t) = -3*t**2. Calculate d(k(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.89036 days in minutes?\nAnswer: 30082.1184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/134 - -4\/67. Which is the biggest value? (a) h (b) 1 (c) 4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {y: 4, p: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4056785 and 10165?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 15*g = -2*v + 12, 3*g - v = -7. Let o(w) be the first derivative of -w**4\/4 - w**3 - w**2\/2 - 1. Let q be o(-3). Is q at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.261 + 83\nAnswer: 45.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -263*z**3 + 2*z**2 + 13*z - 1. What is the hundreds digit of t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r. Let s(z) = 74*z + 10. Let h(m) = -63*m - 11. Let d(j) = 4*h(j) + 5*s(j). What is p(d(a))?\nAnswer: -708*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.015 (b) -493 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21109 + 24622. What is the greatest common divisor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 - -2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*z**5 + 28*f*z**3 + 153*f*z**2 + z**5 wrt z.\nAnswer: 60*f*z**2 + 168*f + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-4))\/((-4)\/(-8)). Suppose 0*f = f - 4*n - 14004, 69999 = z*f + n. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, v: 5, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67539526 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 26 + 5 - 105 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/16, 4, -0.009?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 353. Suppose -3*g = -k - 99, -2*k = -3*g - 4*k + l. Calculate the highest common divisor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19249*0.3\nAnswer: 5774.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2 - 1 + 34*a + 2 - 59*a + 27*a. Give p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6*m - 494. Suppose -8*f + m = -57. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 1344*x\/5 + 9163.\nAnswer: (x + 35)*(x + 1309)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 2, d: 1}. What is prob of sequence yuuy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2d2766?\nAnswer: 2d2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3567 != -250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - a1a53a25?\nAnswer: -a1a53a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -62. Does 10 divide (112\/m + 2)\/(1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8143.\nAnswer: 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z + 7. Let n(d) = 21*d + 14. Let c(y) = -9*k(y) + 4*n(y). What are the prime factors of c(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (72\/42)\/((-2)\/(-7)). Let u be -2 + (-3)\/m*-3884. Let q = u + -1075. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 261000834006?\nAnswer: 261000834006.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/v**(2\/31)*v)\/(((v\/v**(1\/2))\/v*v)\/v)*v**(1\/16)\/(v*v**(-1\/8)*v))**(-1\/4))**(7\/4) assuming v is positive.\nAnswer: v**(-9107\/7936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r**3 - r**2 - 3 + 3*r**3 + 14*r - 6 + 17 - 7 in the form z*r**3 + u*r + o + l*r**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 210602*t**3 + 27776232*t**2 + 1221813472*t + 17917432192.\nAnswer: 2*(t + 44)**3*(t + 105169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - ((-172 - -89) + 54).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6062, -12146, -18228, -24296, -30338, -36342, -42296, -48188?\nAnswer: -54006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 4*f - 169, 3*f = 15. Let c = 68 + i. Suppose -c*g + 105 = -p - 29, -122 = -5*g - 2*p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l + 1. Let p be 2\/((-30)\/(-9) - 4). Let v(a) = -9*a**2 + 8*a + 3. Let n(d) = p*y(d) + v(d). What is the second derivative of n(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9576809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j + 2*i = -7, -2*j + i = -8. Which is the closest to 0.01? (a) j (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 + -301. Let z(x) = 6*x**3 - 12*x**2 - 12*x. Let q(t) = 20*t**3 - 38*t**2 - 37*t. Let r(j) = o*q(j) - 14*z(j). Suppose r(w) = 0. Calculate w.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 666 by -666.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 17328.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 198?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -680115*o**2 - 2*o - 5107057 with respect to o.\nAnswer: -1360230*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/96 and 103\/352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-4)*46\/5. Let s = 44 - h. Let v be -25*((-4)\/(-14) + 59\/(-35)). Calculate the greatest common factor of v and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, -7, -5, 1, 100 in decreasing order.\nAnswer: 100, 1, 0, -5, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 4*d**2 - 3*d - 2. Let m be o(-4). Let h be (-4)\/m - 51\/(-15). Let g(q) = -2*q**2 - 1 + 0*q**2 + 3*q - q**h + q**2 - 3*q**2. What is g(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 155*h**2 + 1595*h + 5445.\nAnswer: 5*(h + 9)*(h + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.038998\nAnswer: 0.0116994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37112\/5 + 7447. Is t not equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/(-183)*1*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (81\/189)\/((-4)\/((-224)\/12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*w + 4*w = 9*m - 45, w + 5 = m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, -14, -2, -5, 2, 6, 1.\nAnswer: -14, -5, -2, 1, 2, 6, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h. Let x(q) be the third derivative of -q**4\/4 - 17*q**2. Give x(j(c)).\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*a - 220 + 220)*(-1 - 9 - 10).\nAnswer: -900*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -20 - (-5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-12) - ((-155309)\/28 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32223 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-2*sqrt(128) + sqrt(128))*-2 + -4 - ((sqrt(20)\/(sqrt(80)\/sqrt(8)) - sqrt(2)) + sqrt(12)\/sqrt(216))))**2.\nAnswer: -95*sqrt(2)\/3 + 9043\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n**2\/2 + 3*n - 7. Differentiate b(z) with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84.2 + 462.2. Let n = -182 + p. Let f = 195.9883 - n. Round f to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372107?\nAnswer: 372107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -47.6. Let t = 0.6 - k. Suppose -4*i + 17 = -3. Put t, i, -0.2 in decreasing order.\nAnswer: i, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1189 and 0.126.\nAnswer: 149.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 455 = b. Suppose 198*q + 2*y - 41 = 197*q, -q + 35 = y. Calculate the remainder when b is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -18.1. Let p = j - -2.5. Let l = 12 + -16. What is the second biggest value in l, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -7. Let h(d) = d**3 + 7*d**2 - 11*d. Does 12 divide h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -11*o**4\/12 + 11*o. Let n(a) = -4*a**2. Give b(n(q)).\nAnswer: -176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -345201, -345198, -345195, -345192, -345189, -345186?\n\"Answer: 3*k - 345204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 347\/1279?\nAnswer: 347\/1279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.0445938 + -16.1156. Let a = q + 0.071. What is a rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from tvtvvvvvtvv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 341374 * 11.61\nAnswer: 3963352.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 2, t: 1, m: 2}. Give prob of picking 1 t, 1 r, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 44 = -4*f, 3*f + 42 = 4*z - 0*f. Let s be (-8)\/z - 4\/(-6). Is -223*(-1 + s\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 1. Let b(q) = -q**3 + 16*q**2 + 12*q + 3. Determine b(j) - 3*c(j).\nAnswer: -j**3 + 13*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096 minus 2?\nAnswer: -1.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -495*o**2 + 8414*o + 34. Calculate u(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 66*j + 1013. Give u(-40).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + z**3 - 12*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 + l**2)*(0 + 0 + 2)*(l - 4*l + l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -1.100018. Round o to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5. Let q = 291.4 - 291.5. Which is the closest to -26? (a) q (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 235 + 2665. Suppose f + 4*z = 107 + n, -f + 601 = 2*z. What are the prime factors of f?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + d - 3*d = 18, 5*d = -3*l - 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217 + 354. Is 33 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -223815 divided by 44763?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Let c be (-2)\/8 - (-65)\/20. Suppose -y = -c*h + 38, -n*y + 5*h - 31 = 179. Does y = -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-11 - (11 + -12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 25. What is z(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/(-1) + 5. Solve k*c**4 - 3*c**4 - c**2 + 2*c**5 - c**3 - c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 418064.1 litres?\nAnswer: 418064100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149761, -149763, -149765, -149767?\nAnswer: -149769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7486*b**2 - 4*b + 14. Let z(o) = 1871*o**2 + o - 3. What is 2*w(k) + 9*z(k)?\nAnswer: 1867*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*z + 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 63.7.\nAnswer: 67.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 198130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 21, 63, 143, 273?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -13 in descending order.\nAnswer: 10, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044 and 2610.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 515737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38913*w**3 + w - 160925?\nAnswer: 233478*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((57\/1710)\/(9\/27)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40764 and 3096?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevvnneneenee. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0128877 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10023021 - -2?\nAnswer: -10023013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -14. Suppose 4*a = -0 + v. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - 1269 + 643 + 626. Let q(o) = -87*o**2. What is q(r(x))?\nAnswer: -3132*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**2 + 11*l - 4. What are the prime factors of u(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 16 = 0. Let u(w) = w - 1. Let z be u(d). Factor -2\/7*h - 2\/7*h**2 + 2\/7 + 2\/7*h**z.\nAnswer: 2*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 238? (a) -193 (b) 0.6 (c) 2\/9 (d) 5 (e) 0.2 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210 (base 3) to base 7.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q**3 + 55*q**2 + 61*q + 12. Let p(u) = -21*u**3 + 55*u**2 + 60*u + 12. Let x(m) = -5*p(m) + 4*r(m). Factor x(z).\nAnswer: (z - 3)*(5*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533839 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3213234 + 3337107 = 271*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2328413*b**3 + 2*b**2 - 4563210*b wrt b.\nAnswer: 13970478*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 + 928 = 37*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 16. Let a be v(-5). Suppose -a = -n + 42. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*-2*60\/12*(-63)\/5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**3 + 197*k**2 - 9*k**3 - 175*k**2 wrt k?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253640, -507467, -761288, -1015103, -1268912, -1522715?\nAnswer: -1776512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7449872, -14899743, -22349614, -29799485?\n\"Answer: -7449871*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 96136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257336 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/126411, 2\/19, 2?\nAnswer: -2\/126411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 4*k. Let v be (0 + 1)*8\/2. Let o(d) = 4*d**2 - v*d**2 - 3*d + d**2. Let i = -2 + 7. Calculate i*z(u) + 7*o(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/784 and 113\/140?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 1:21 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 1\/8 + (16065\/840 - (-1)\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 + v + 3. Suppose 5*f + 2*i = 16, -16 = -5*f + 3*i + 10. What are the prime factors of r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**3 - 4*c + 5. Let j(p) = -7*p**3 - 3*p + 4. Let v(g) = -7*j(g) + 6*s(g). Let b be v(2). List the prime factors of (507\/b)\/(6\/16).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*t + 658*t + 326 - 217*t - 221*t in the form z*t + d and give d.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8853028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8920199t?\nAnswer: 892.0199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3474 < -3478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**5\/4 - d**4\/12 + d**3\/6 + d**2\/2 - d. Let v be h(-1). What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1*(0 - -1). Let x = 42 - 23. Let u = x + i. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/18*((-231)\/490)\/11?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -728.6 + 728.1278. What is s rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let s be l(1). Let d(r) = -r**3. Let k(i) = 7*i**3 - 4. Determine s*d(m) - k(m).\nAnswer: -m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 11*y - 29 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/180 and 59\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 26.4. Let v = 1.5 + r. Which is greater: v or 0.56?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/11)\/(n*n**15))\/((n*n**(-22))\/n**17) assuming n is positive.\nAnswer: n**(250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.132 + -161.132. Let d = m + 160.014. Let y = -0.054 + d. What is y rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ububduuddbubddx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -61*v**6\/30 + v**3\/6 + 27*v**2\/2 + 16*v - 3. Find the second derivative of p(h) wrt h.\nAnswer: -732*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -690*i + 36. Let b(k) = -k + 3. Give -12*b(s) + m(s).\nAnswer: -678*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 172786702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 84893.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8611722 + 8611722 - 143*h.\nAnswer: -143*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 222517 divided by 7673?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from {j: 2, w: 2, y: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13979 + 13981. Calculate the greatest common factor of q and 2082.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -134*s + 4526. What is x(33)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 95. Suppose -3*i + q = 8. Suppose -y + i*y = 2316. What are the prime factors of y?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -5*t. Suppose -8*c + 3*c + 5 = t. Is c\/(-4) - 2218\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 53*i + 1. Let a be 7\/(-5) + (-186)\/(-465). What is p(a)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*3 + (13 + -5 - 4). Let v(m) = 4*m + 2 - x - 5*m. Let b(p) = 4*p - 10. What is -b(g) - 6*v(g)?\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 7. Let o = 17 - 18. Which is the nearest to o? (a) 0.13 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {c: 7, q: 1, s: 2, i: 1, b: 3, y: 4}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4*l**3 + 0 + 6.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 1. Let i be 7\/7 + 10\/(-6). What is the third smallest value in u, -3, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q*t**2 + q*t + 8*q + 9*t**2 + 5 wrt t?\nAnswer: 6*q*t + q + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**4 - 4*m**3 - 3*m**2 - 5. Let r(d) = 4*d**4 - 4*d**3 - 4*d**2 - 4. Let z(o) = -4*c(o) + 5*r(o). What is k in z(k) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39547268 is divided by 486?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9 + 33. Let c be (1 + 1)\/(t\/(-12)). Suppose 0 = -v - v + c. Solve -y + v = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1703 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7470 by 747.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -41\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*3*2)\/(sqrt(11) + (sqrt(1331) - (sqrt(1331) - (-1*sqrt(1331) - sqrt(1331)))) + sqrt(11)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + 3)*(12 - 11). Let w be 13\/273*-12 + (-111)\/v. What is the second smallest value in w, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -0.55. Which is the third biggest value? (a) n (b) -2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3\/3 + 1925*d**2 + 367185*d + 1084275 = 0. Calculate d.\nAnswer: -915, -237, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 - 250. Suppose 5*y = -3*c + 26, -2*y = -0*y + c - 10. Let w = y + 4. Solve 4*z + w = -4*k, u*k - 4*k - 4*z - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87885 + 936285 = 63*s + 105*s. What is the greatest common divisor of 50 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, m: 1, r: 9, w: 2}. Give prob of sequence wm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03677 and -3540.\nAnswer: -130.1658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 - 14)*(-u - u - 2*u)*(1 + 2 + 2) - 2*u + 0*u + 4*u to n*u + q and give n.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21196.56 millilitres?\nAnswer: 21.19656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1738 - 1684. Solve i = 28*i - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-52))\/((-828)\/5382) + 4*-23.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 248 = -l + 5*l, -4*l + 4*c = 236. Let b = 93 + l. Calculate the greatest common factor of b and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116085606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*l**2 + 323*l wrt l.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 - 101000000110011110101?\nAnswer: -101000000110101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 1916*d - 1914.\nAnswer: -2*(d + 1)*(d + 957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 130*f. Let x(j) = -3*j. Calculate l(x(t)).\nAnswer: -18*t**2 - 390*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*i = -3, 9*j + 4*i - 23 = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2 + 8344 - 760711*d - 2*d**2 + 758374*d wrt d?\nAnswer: -6*d - 2337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9823 - 9819. What is the smallest value in 4\/5, t, 6\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6 - (-5 - -2)) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*g**2*m**2*u**2 + 4*g**2*m**2*u - g**2*m**2 - 9*g**2*m - 24*g*m**2*u**2 wrt u?\nAnswer: 98*g**2*m**2 - 48*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 65*k - 1092. What is the remainder when t(-19) is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 5*q + 8. Let d(g) = -1. Let k(u) = -5*d(u) - x(u). What is k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 2\/9 (c) -0.37 (d) -0.0567\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, -1\/3, 1, -0.17, -8.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let d = 12 - 15. Let o = -0.2 - -0.4. Which is the smallest value? (a) o (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 456, 852, 1248, 1644?\n\"Answer: 396*w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 5*o**2 + o. Let b(w) = w**3 - w**2 + w. Suppose -5 = -s - 4*s. Let n(u) = s*f(u) - b(u). What is the third derivative of n(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 173923632*j**2 - 4.\nAnswer: 173923632*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, 4, 2.\nAnswer: -234, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230240, -460275, -690308, -920339?\nAnswer: -1150368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45012 divided by 682.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -12 + (3 - (-5 - (-3 - -1))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 36. Suppose 5*r = s + 18. Calculate the remainder when r is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 377 + 94*l**3.\nAnswer: 94*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8528255 rounded to four dps?\nAnswer: -0.8528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 10. Calculate o(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80949102 to the nearest integer?\nAnswer: 8997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}